<?xml version='1.0' encoding='UTF-8'?><?xml-stylesheet href="http://www.blogger.com/styles/atom.css" type="text/css"?><feed xmlns='http://www.w3.org/2005/Atom' xmlns:openSearch='http://a9.com/-/spec/opensearchrss/1.0/' xmlns:blogger='http://schemas.google.com/blogger/2008' xmlns:georss='http://www.georss.org/georss' xmlns:gd="http://schemas.google.com/g/2005" xmlns:thr='http://purl.org/syndication/thread/1.0'><id>tag:blogger.com,1999:blog-3568344032940005234</id><updated>2024-10-10T09:56:31.516-07:00</updated><title type='text'>MIND FREAK</title><subtitle type='html'>EID MUBARAK</subtitle><link rel='http://schemas.google.com/g/2005#feed' type='application/atom+xml' href='http://apnamagic.blogspot.com/feeds/posts/default'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default?redirect=false'/><link rel='alternate' type='text/html' href='http://apnamagic.blogspot.com/'/><link rel='hub' href='http://pubsubhubbub.appspot.com/'/><link rel='next' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default?start-index=26&amp;max-results=25&amp;redirect=false'/><author><name>alisayani</name><uri>http://www.blogger.com/profile/06975435733083552191</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><generator version='7.00' uri='http://www.blogger.com'>Blogger</generator><openSearch:totalResults>48</openSearch:totalResults><openSearch:startIndex>1</openSearch:startIndex><openSearch:itemsPerPage>25</openSearch:itemsPerPage><entry><id>tag:blogger.com,1999:blog-3568344032940005234.post-4767792830079649247</id><published>2011-09-09T10:18:00.001-07:00</published><updated>2011-09-09T10:18:39.849-07:00</updated><title type='text'>Camel Race</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;b&gt;PROBLEM:&lt;/b&gt;&amp;nbsp;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;An Arab sheikh  tells his two sons to race their camels to a distant city to see who  will inherit his fortune.&amp;nbsp; The one whose camel is slower will win.&amp;nbsp; The  brothers, after wandering aimlessly for days, meet a wise woman and ask  for advice. After talking to her they immediately jump on the camels and  race as fast as they can to the city.&amp;nbsp; What did the wise woman tell  them?  &lt;/span&gt;&lt;script src=&quot;http://www.gmodules.com/ig/ifr?url=http://widgets.clearspring.com/cscallback/gallery/4974b2f77971647c/googlegallery.xml&amp;amp;up_wpid=0&amp;amp;up_urlp=0&amp;amp;synd=open&amp;amp;w=294&amp;amp;h=170&amp;amp;title=Live+Forex+Quotes&amp;amp;border=%23ffffff%7C3px%2C1px+solid+%23999999&amp;amp;output=js&quot;&gt;
&lt;/script&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://apnamagic.blogspot.com/feeds/4767792830079649247/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://apnamagic.blogspot.com/2011/09/camel-race.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/4767792830079649247'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/4767792830079649247'/><link rel='alternate' type='text/html' href='http://apnamagic.blogspot.com/2011/09/camel-race.html' title='Camel Race'/><author><name>alisayani</name><uri>http://www.blogger.com/profile/06975435733083552191</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3568344032940005234.post-4973262359999215049</id><published>2011-09-09T10:16:00.000-07:00</published><updated>2011-09-09T10:16:06.649-07:00</updated><title type='text'>12 coins</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;PROBLEM:&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;Given twelve coins that are identical in size, shape, and color, determine which single coin is heavier &lt;i&gt;or lighter&lt;/i&gt; in weight than the others.&amp;nbsp; You are supplied with a balance and must conclude your determination in three weighings. &lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;&lt;i&gt;PLEASE NOTE: This problem is very difficult, because your answer must solve for both possible outcomes (heavier and lighter) all within 3 weighing.&lt;/i&gt;&lt;/b&gt;&lt;/span&gt;&lt;script src=&quot;http://www.gmodules.com/ig/ifr?url=http://widgets.clearspring.com/cscallback/gallery/4974b2f77971647c/googlegallery.xml&amp;amp;up_wpid=0&amp;amp;up_urlp=0&amp;amp;synd=open&amp;amp;w=294&amp;amp;h=170&amp;amp;title=Live+Forex+Quotes&amp;amp;border=%23ffffff%7C3px%2C1px+solid+%23999999&amp;amp;output=js&quot;&gt;
&lt;/script&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://apnamagic.blogspot.com/feeds/4973262359999215049/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://apnamagic.blogspot.com/2011/09/12-coins.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/4973262359999215049'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/4973262359999215049'/><link rel='alternate' type='text/html' href='http://apnamagic.blogspot.com/2011/09/12-coins.html' title='12 coins'/><author><name>alisayani</name><uri>http://www.blogger.com/profile/06975435733083552191</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3568344032940005234.post-6586179121636223595</id><published>2011-09-09T10:04:00.000-07:00</published><updated>2011-09-09T10:04:21.159-07:00</updated><title type='text'>GOLF BALLS</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;PROBLEM:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;Rearrange three golfballs so that the triangular pattern points down instead of up.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjcwE3M8smaZb_tt1KlwWErDiRzjQex0SqBZwSPzhhyMZ2wR8HCiKxq0E4C4HPAXEiqkvZU012bYLUoimWnIMyAlksFv1fxilzGTiNEYzmFht8YNBGIjv-v6jdgb5RhpRZWiZeD9_kbpWM/s1600/golfballs.gif&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjcwE3M8smaZb_tt1KlwWErDiRzjQex0SqBZwSPzhhyMZ2wR8HCiKxq0E4C4HPAXEiqkvZU012bYLUoimWnIMyAlksFv1fxilzGTiNEYzmFht8YNBGIjv-v6jdgb5RhpRZWiZeD9_kbpWM/s1600/golfballs.gif&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;SOLUTION: &lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEivKrcHFVU0JdVL0cqkHYhKXNDK0LpGTc4kcE7VvptkibFLrPyPJ9MRoQKKeCZlM6xLBNu46M2YAK7Q65j1BCYB1qOhv_UPvLiiG4ZAtL1kswm1RfU8L7wRbTS_rKUJEFiz39KYU0Hsw5s/s1600/golfballs_solution.gif&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEivKrcHFVU0JdVL0cqkHYhKXNDK0LpGTc4kcE7VvptkibFLrPyPJ9MRoQKKeCZlM6xLBNu46M2YAK7Q65j1BCYB1qOhv_UPvLiiG4ZAtL1kswm1RfU8L7wRbTS_rKUJEFiz39KYU0Hsw5s/s1600/golfballs_solution.gif&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;
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&lt;/script&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://apnamagic.blogspot.com/feeds/6586179121636223595/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://apnamagic.blogspot.com/2011/09/golf-balls.html#comment-form' title='1 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/6586179121636223595'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/6586179121636223595'/><link rel='alternate' type='text/html' href='http://apnamagic.blogspot.com/2011/09/golf-balls.html' title='GOLF BALLS'/><author><name>alisayani</name><uri>http://www.blogger.com/profile/06975435733083552191</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjcwE3M8smaZb_tt1KlwWErDiRzjQex0SqBZwSPzhhyMZ2wR8HCiKxq0E4C4HPAXEiqkvZU012bYLUoimWnIMyAlksFv1fxilzGTiNEYzmFht8YNBGIjv-v6jdgb5RhpRZWiZeD9_kbpWM/s72-c/golfballs.gif" height="72" width="72"/><thr:total>1</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3568344032940005234.post-7191613999840396818</id><published>2011-09-09T09:58:00.000-07:00</published><updated>2011-09-09T09:58:20.250-07:00</updated><title type='text'>FOUR TRACKS</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-size: small;&quot;&gt;PROBLEM:&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;Four rollerbladers exercise around separate circular paths; each path is one third of a mile in length.&amp;nbsp; They start simultaneously at the black spots, with speeds of six, nine, twelve, and fifteen miles per hour.&amp;nbsp; By the end of the 20 minute workout, how many times will they have simultaneously returned to the spots where they started?&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjSbS9Zh365upjtCv7Njv2yCqLTA-kWOsyQFY4XDQF9GJwAJwqE-F1JYw5rSS2Ngz0C3vsolL19uzN81vm_E6FbeCIt6pQJnEEkYNdncTLvH8WnBRWywv7P-NOlwC3SsQLEFzhp7s-5l9I/s1600/4circles.gif&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjSbS9Zh365upjtCv7Njv2yCqLTA-kWOsyQFY4XDQF9GJwAJwqE-F1JYw5rSS2Ngz0C3vsolL19uzN81vm_E6FbeCIt6pQJnEEkYNdncTLvH8WnBRWywv7P-NOlwC3SsQLEFzhp7s-5l9I/s1600/4circles.gif&quot; /&gt;&amp;nbsp;&lt;/a&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: left;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: left;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: left;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: left;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: left;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: left;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: left;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: left;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: left;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: left;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: left;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: left;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: left;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: left;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: left;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: left;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: left;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: left;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: left;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: left;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: left;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: left;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;SOLUTION:&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;a href=&quot;&quot; name=&quot;FOURTRACKS&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;In 1/3 of an hour (20 minutes), they travel 1/3 of a mile 6, 9, 12, and 15 times.&amp;nbsp; The largest number these numbers are all divisible by is 3.&amp;nbsp; They return to their original positions 3 times in 20 minutes: after 6 2/3, 13 1/3, and 20 minutes&lt;/span&gt;&lt;/a&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;script src=&quot;http://www.gmodules.com/ig/ifr?url=http://widgets.clearspring.com/cscallback/gallery/4974b2f77971647c/googlegallery.xml&amp;amp;up_wpid=0&amp;amp;up_urlp=0&amp;amp;synd=open&amp;amp;w=294&amp;amp;h=170&amp;amp;title=Live+Forex+Quotes&amp;amp;border=%23ffffff%7C3px%2C1px+solid+%23999999&amp;amp;output=js&quot;&gt;
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&lt;/script&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://apnamagic.blogspot.com/feeds/7191613999840396818/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://apnamagic.blogspot.com/2011/09/four-tracks.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/7191613999840396818'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/7191613999840396818'/><link rel='alternate' type='text/html' href='http://apnamagic.blogspot.com/2011/09/four-tracks.html' title='FOUR TRACKS'/><author><name>alisayani</name><uri>http://www.blogger.com/profile/06975435733083552191</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjSbS9Zh365upjtCv7Njv2yCqLTA-kWOsyQFY4XDQF9GJwAJwqE-F1JYw5rSS2Ngz0C3vsolL19uzN81vm_E6FbeCIt6pQJnEEkYNdncTLvH8WnBRWywv7P-NOlwC3SsQLEFzhp7s-5l9I/s72-c/4circles.gif" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3568344032940005234.post-5286510073843388868</id><published>2011-09-09T09:49:00.000-07:00</published><updated>2011-09-09T09:49:43.070-07:00</updated><title type='text'>GEARS</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;b&gt;PROBLEM:&lt;/b&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;Gears A and D have 60 teeth each, gear B has 40 teeth, and gear C has 20 teeth.&amp;nbsp; Suppose that gear B makes twenty complete turns every minute, explain the relative speed of gears A and D?&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjpXZf3hDN6iWff9P_gEpFA3aBBlsaUFDYyOn102QT2o-L44CU_BGYalknvuH1aanP24bahaMTUFGsRuc2ZPpM5KEVEHD64hoa3ZnWmA6xPP00_4A0O5p81fZWgtnapYBenT91H8b18e_M/s1600/gears.gif&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;133&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjpXZf3hDN6iWff9P_gEpFA3aBBlsaUFDYyOn102QT2o-L44CU_BGYalknvuH1aanP24bahaMTUFGsRuc2ZPpM5KEVEHD64hoa3ZnWmA6xPP00_4A0O5p81fZWgtnapYBenT91H8b18e_M/s320/gears.gif&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&amp;nbsp;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;SOLUTION:&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;Gears A and D rotate at the &lt;u&gt;same&lt;/u&gt; speed.&amp;nbsp; Gears of equal size will rotate at constant speeds irrespective of smaller or larger gears in between them&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://apnamagic.blogspot.com/feeds/5286510073843388868/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://apnamagic.blogspot.com/2011/09/gears.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/5286510073843388868'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/5286510073843388868'/><link rel='alternate' type='text/html' href='http://apnamagic.blogspot.com/2011/09/gears.html' title='GEARS'/><author><name>alisayani</name><uri>http://www.blogger.com/profile/06975435733083552191</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjpXZf3hDN6iWff9P_gEpFA3aBBlsaUFDYyOn102QT2o-L44CU_BGYalknvuH1aanP24bahaMTUFGsRuc2ZPpM5KEVEHD64hoa3ZnWmA6xPP00_4A0O5p81fZWgtnapYBenT91H8b18e_M/s72-c/gears.gif" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3568344032940005234.post-2838314606893784405</id><published>2011-09-09T09:47:00.000-07:00</published><updated>2011-09-09T09:47:31.913-07:00</updated><title type='text'>TRIANGLES</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;b&gt;PROBLEM:&lt;/b&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;How many triangles are located in the image below?&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhBhPKG2VUi6ooAKbyPPL0tswAXF9UNfEH1C43TCFFJa49bU05Q9_owLSOFkMFS24TSl0uHXcDhJ6pBzHICHacdnNVbcsU5hlIERn7v7nzJqcuiw7AhMgy0ulHP1FIEKBZU-CsQnpZ0eHA/s1600/triangles.gif&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhBhPKG2VUi6ooAKbyPPL0tswAXF9UNfEH1C43TCFFJa49bU05Q9_owLSOFkMFS24TSl0uHXcDhJ6pBzHICHacdnNVbcsU5hlIERn7v7nzJqcuiw7AhMgy0ulHP1FIEKBZU-CsQnpZ0eHA/s1600/triangles.gif&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&amp;nbsp;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;SOLUTION:&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;27 triangles.&amp;nbsp; There are 16 one-cell triangles, 7 four-cell triangles, 3 nine-cell triangles, and 1 sixteen-cell triangle.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;script src=&quot;http://www.gmodules.com/ig/ifr?url=http://widgets.clearspring.com/cscallback/gallery/4974b2f77971647c/googlegallery.xml&amp;amp;up_wpid=0&amp;amp;up_urlp=0&amp;amp;synd=open&amp;amp;w=294&amp;amp;h=170&amp;amp;title=Live+Forex+Quotes&amp;amp;border=%23ffffff%7C3px%2C1px+solid+%23999999&amp;amp;output=js&quot;&gt;
P
&lt;/script&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://apnamagic.blogspot.com/feeds/2838314606893784405/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://apnamagic.blogspot.com/2011/09/triangles.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/2838314606893784405'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/2838314606893784405'/><link rel='alternate' type='text/html' href='http://apnamagic.blogspot.com/2011/09/triangles.html' title='TRIANGLES'/><author><name>alisayani</name><uri>http://www.blogger.com/profile/06975435733083552191</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhBhPKG2VUi6ooAKbyPPL0tswAXF9UNfEH1C43TCFFJa49bU05Q9_owLSOFkMFS24TSl0uHXcDhJ6pBzHICHacdnNVbcsU5hlIERn7v7nzJqcuiw7AhMgy0ulHP1FIEKBZU-CsQnpZ0eHA/s72-c/triangles.gif" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3568344032940005234.post-1252119467546346291</id><published>2011-09-09T09:44:00.000-07:00</published><updated>2011-09-09T09:44:32.545-07:00</updated><title type='text'>Connect the Dots</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-size: small;&quot;&gt;PROBLEM:&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;How many squares can you create in this figure by connecting any 4 dots (the corners of a square must lie upon a grid dot)&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiZVXWgKVRxKgs-Xv3338DUQkSMt9hH8Z_kpx5Y04wz2pwnePLfj23qCrUcxfy_Dm5FqaJf5l10n3ulaqkiONFFoEPvMxnCO-owMJ24i6LaREKj3jeWHsj84KPhQZuMW146lkqZ_8IBu4U/s1600/squares.gif&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiZVXWgKVRxKgs-Xv3338DUQkSMt9hH8Z_kpx5Y04wz2pwnePLfj23qCrUcxfy_Dm5FqaJf5l10n3ulaqkiONFFoEPvMxnCO-owMJ24i6LaREKj3jeWHsj84KPhQZuMW146lkqZ_8IBu4U/s1600/squares.gif&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;SOLUTION:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiAvwkRBqs1zbfzHOU87KzMY_fT4ip5ub9HgmQ8C8TTUtaTSOVEAVSMpdlfjCG3c8jAec-UsvHuMinjKxEMGkWaKToIRdtaEWjoBiVMuXrfe_ExjbsPwymMzDNhAjPlz20U6uXm3Uzl7pY/s1600/squares_medium.gif&quot; imageanchor=&quot;1&quot; style=&quot;clear: right; float: right; margin-bottom: 1em; margin-left: 1em;&quot;&gt;&lt;img border=&quot;0&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiAvwkRBqs1zbfzHOU87KzMY_fT4ip5ub9HgmQ8C8TTUtaTSOVEAVSMpdlfjCG3c8jAec-UsvHuMinjKxEMGkWaKToIRdtaEWjoBiVMuXrfe_ExjbsPwymMzDNhAjPlz20U6uXm3Uzl7pY/s1600/squares_medium.gif&quot; /&gt;&lt;/a&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjkGh0RyNf1SqjvU22XoGaxYCPw_eEy9yDy0fOiYwtzaSZtsm8UZecr40bKGk5CRxnfVKOoXmonpJyhLEVS5SRFEEf-kULBQo9IqGEMRgdV6nJqERwYBxkVOJ_BzjCMa0M1eQ6qObKWHE4/s1600/squares_large.gif&quot; imageanchor=&quot;1&quot; style=&quot;clear: left; float: left; margin-bottom: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjkGh0RyNf1SqjvU22XoGaxYCPw_eEy9yDy0fOiYwtzaSZtsm8UZecr40bKGk5CRxnfVKOoXmonpJyhLEVS5SRFEEf-kULBQo9IqGEMRgdV6nJqERwYBxkVOJ_BzjCMa0M1eQ6qObKWHE4/s1600/squares_large.gif&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEglEdtq2eTjJTjheKV3Iir2Kg0LZ_v_HQc-DXgnDm7OorojkP4VT-n2isxcOVgSlcfplr6GOGw1FAC8ZlqqF8nRXLlqIfyFCw05BDdwUnl5sAGVl9OZMw3Pfe_kDiwGfCQzkwmACIhtvKs/s1600/squares_small.gif&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEglEdtq2eTjJTjheKV3Iir2Kg0LZ_v_HQc-DXgnDm7OorojkP4VT-n2isxcOVgSlcfplr6GOGw1FAC8ZlqqF8nRXLlqIfyFCw05BDdwUnl5sAGVl9OZMw3Pfe_kDiwGfCQzkwmACIhtvKs/s1600/squares_small.gif&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://apnamagic.blogspot.com/feeds/1252119467546346291/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://apnamagic.blogspot.com/2011/09/connect-dots.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/1252119467546346291'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/1252119467546346291'/><link rel='alternate' type='text/html' href='http://apnamagic.blogspot.com/2011/09/connect-dots.html' title='Connect the Dots'/><author><name>alisayani</name><uri>http://www.blogger.com/profile/06975435733083552191</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiZVXWgKVRxKgs-Xv3338DUQkSMt9hH8Z_kpx5Y04wz2pwnePLfj23qCrUcxfy_Dm5FqaJf5l10n3ulaqkiONFFoEPvMxnCO-owMJ24i6LaREKj3jeWHsj84KPhQZuMW146lkqZ_8IBu4U/s72-c/squares.gif" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3568344032940005234.post-22800007469803221</id><published>2011-09-09T09:40:00.000-07:00</published><updated>2011-09-09T09:40:11.573-07:00</updated><title type='text'>MOVING HOLE</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;PROBLEM:&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;By cutting this square piece of paper into two and only two pieces (and rearranging those pieces), how is it possible to move the hole into the center of the square?&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh8sf7-2ZYaA_upUPvkp41jNjg96jkbHB0EuiTVaKw6zbuHm6gt9VQVXkd-WTle8OmVADGgFUyjLS0TEFchx9QCfrY8kZ5ZI-81tVOJs0RVkyAOpiWGp2R1SnNLnsdzDO0-OX4oZVFMnlo/s1600/hole.gif&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh8sf7-2ZYaA_upUPvkp41jNjg96jkbHB0EuiTVaKw6zbuHm6gt9VQVXkd-WTle8OmVADGgFUyjLS0TEFchx9QCfrY8kZ5ZI-81tVOJs0RVkyAOpiWGp2R1SnNLnsdzDO0-OX4oZVFMnlo/s1600/hole.gif&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-size: small;&quot;&gt;.&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-size: small;&quot;&gt;.&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-size: small;&quot;&gt;.&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-size: small;&quot;&gt;.&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-size: small;&quot;&gt;.&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-size: small;&quot;&gt;.&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-size: small;&quot;&gt;.&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-size: small;&quot;&gt;.&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-size: small;&quot;&gt;.&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-size: small;&quot;&gt;.&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-size: small;&quot;&gt;.&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-size: small;&quot;&gt;.&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-size: small;&quot;&gt;.&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-size: small;&quot;&gt;.&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-size: small;&quot;&gt;.&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-size: small;&quot;&gt;SOLUTION:&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;The image on the left illustrates where the cut is made, and the image on the right rearranges the cutout piece clockwise (180 degrees) to place the hole in the center of the square!&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi7XjycMengz9cIQekpQCSDvFjcmuUoLW5UrPCQcn6sjHNc0G49bVv6uVaWKx5Vb6SWxkgJDFyq-sxiKG0F6UVc8aXTQIvQNl8BSfjgW6CHQBhQBOTz3h0rqNgsxnSmfVN0rs80jzbULQE/s1600/hole_solution1.gif&quot; imageanchor=&quot;1&quot; style=&quot;clear: left; float: left; margin-bottom: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi7XjycMengz9cIQekpQCSDvFjcmuUoLW5UrPCQcn6sjHNc0G49bVv6uVaWKx5Vb6SWxkgJDFyq-sxiKG0F6UVc8aXTQIvQNl8BSfjgW6CHQBhQBOTz3h0rqNgsxnSmfVN0rs80jzbULQE/s1600/hole_solution1.gif&quot; /&gt;&lt;/a&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiLYxiG1EcuGCAgEhfaXxG6tOr0HJzXIZbuXVU3ou_j5MyYJu7jYwH7mlhqbmKi5jlgiP2dePNZfGpTjX3CxB01hHF28fIIpD9y8mG9hSntVCr1_npoz9GOA6lA6tQN5r-dcqHbexMOJVg/s1600/hole_solution2.gif&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiLYxiG1EcuGCAgEhfaXxG6tOr0HJzXIZbuXVU3ou_j5MyYJu7jYwH7mlhqbmKi5jlgiP2dePNZfGpTjX3CxB01hHF28fIIpD9y8mG9hSntVCr1_npoz9GOA6lA6tQN5r-dcqHbexMOJVg/s1600/hole_solution2.gif&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://apnamagic.blogspot.com/feeds/22800007469803221/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://apnamagic.blogspot.com/2011/09/moving-hole.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/22800007469803221'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/22800007469803221'/><link rel='alternate' type='text/html' href='http://apnamagic.blogspot.com/2011/09/moving-hole.html' title='MOVING HOLE'/><author><name>alisayani</name><uri>http://www.blogger.com/profile/06975435733083552191</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh8sf7-2ZYaA_upUPvkp41jNjg96jkbHB0EuiTVaKw6zbuHm6gt9VQVXkd-WTle8OmVADGgFUyjLS0TEFchx9QCfrY8kZ5ZI-81tVOJs0RVkyAOpiWGp2R1SnNLnsdzDO0-OX4oZVFMnlo/s72-c/hole.gif" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3568344032940005234.post-4588456009497190697</id><published>2011-09-09T09:35:00.000-07:00</published><updated>2011-09-09T09:36:05.860-07:00</updated><title type='text'>NINE NUMBERS</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;PROBLEM:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;Place the numbers 1 through 9 in the circles below, such that each side of the triangle adds up to 17.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg3ID_EZX0TBhHPpo7wE5uPXsqz8msOVgC1y9rx7m5pXgWP9EFvAZRxu332bHizpvVXWVC_5KTFI4u0HHYa0WqiC5g4B3on5WvAAsFvKPl5CUSRU9MXoUeRzyYl65cSVgsHqDIuRVOtgvE/s1600/9numbers.gif&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg3ID_EZX0TBhHPpo7wE5uPXsqz8msOVgC1y9rx7m5pXgWP9EFvAZRxu332bHizpvVXWVC_5KTFI4u0HHYa0WqiC5g4B3on5WvAAsFvKPl5CUSRU9MXoUeRzyYl65cSVgsHqDIuRVOtgvE/s1600/9numbers.gif&quot; /&gt;&lt;/a&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt; .&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;SOLUTION:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgnP2eWfyHJV9Q90O3sDlDA6kUT5j8Mb9XGZ0ugLDyr57bPxwynepXS-KehDVtYMkeHQGLd5khW4xIRcxYKyhqUl7UvIQPRMkPlYxwC9E7LfWSmAisF9bOkYv3xQdUSqQXzoarL0mQMOWE/s1600/9numbers_solution.gif&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgnP2eWfyHJV9Q90O3sDlDA6kUT5j8Mb9XGZ0ugLDyr57bPxwynepXS-KehDVtYMkeHQGLd5khW4xIRcxYKyhqUl7UvIQPRMkPlYxwC9E7LfWSmAisF9bOkYv3xQdUSqQXzoarL0mQMOWE/s1600/9numbers_solution.gif&quot; /&gt;&lt;/a&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;
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P
&lt;/script&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://apnamagic.blogspot.com/feeds/4588456009497190697/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://apnamagic.blogspot.com/2011/09/nine-numbers.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/4588456009497190697'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/4588456009497190697'/><link rel='alternate' type='text/html' href='http://apnamagic.blogspot.com/2011/09/nine-numbers.html' title='NINE NUMBERS'/><author><name>alisayani</name><uri>http://www.blogger.com/profile/06975435733083552191</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg3ID_EZX0TBhHPpo7wE5uPXsqz8msOVgC1y9rx7m5pXgWP9EFvAZRxu332bHizpvVXWVC_5KTFI4u0HHYa0WqiC5g4B3on5WvAAsFvKPl5CUSRU9MXoUeRzyYl65cSVgsHqDIuRVOtgvE/s72-c/9numbers.gif" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3568344032940005234.post-8505504958414900107</id><published>2011-09-09T09:32:00.000-07:00</published><updated>2011-09-09T09:32:30.565-07:00</updated><title type='text'>TRACING LINES</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;PROBLEM:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;How is it possible to trace this design in one continuous movement without crossing a line on the way?&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjAvNitz6ay67ri77M5kGQvfTZJ3KX5VID-Mrh3Zg89lFayLx0ABzLDB5iVJRj48x9BPcNGmHHLx4VFs6_FuA6V9rVTZ1sOs4CfbBe59NBmbiESS1Gt3VG9SbtBxR5EA7Dckii3ve5tTJs/s1600/lines.gif&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjAvNitz6ay67ri77M5kGQvfTZJ3KX5VID-Mrh3Zg89lFayLx0ABzLDB5iVJRj48x9BPcNGmHHLx4VFs6_FuA6V9rVTZ1sOs4CfbBe59NBmbiESS1Gt3VG9SbtBxR5EA7Dckii3ve5tTJs/s1600/lines.gif&quot; /&gt;&lt;/a&gt;&lt;/span&gt;&lt;/div&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;SOLUTION:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhfWj0uUx1lDDGNgTOv3vTNlhHz58tFEdVVXPfRsOzb7ML6EVC2JSlcV5xzeFqpTK2ye-mo2_DGzpaPgkgLMd5DeSHB9Hp8s7WNIot49MrnXXMfVTAcP0shqTHa5FOr7ZyTRVYTPF-D2dY/s1600/lines_solution.gif&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhfWj0uUx1lDDGNgTOv3vTNlhHz58tFEdVVXPfRsOzb7ML6EVC2JSlcV5xzeFqpTK2ye-mo2_DGzpaPgkgLMd5DeSHB9Hp8s7WNIot49MrnXXMfVTAcP0shqTHa5FOr7ZyTRVYTPF-D2dY/s1600/lines_solution.gif&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;
&lt;script src=&quot;http://www.gmodules.com/ig/ifr?url=http://widgets.clearspring.com/cscallback/gallery/4974b2f77971647c/googlegallery.xml&amp;amp;up_wpid=0&amp;amp;up_urlp=0&amp;amp;synd=open&amp;amp;w=294&amp;amp;h=170&amp;amp;title=Live+Forex+Quotes&amp;amp;border=%23ffffff%7C3px%2C1px+solid+%23999999&amp;amp;output=js&quot;&gt;
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&lt;/script&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://apnamagic.blogspot.com/feeds/8505504958414900107/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://apnamagic.blogspot.com/2011/09/tracing-lines.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/8505504958414900107'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/8505504958414900107'/><link rel='alternate' type='text/html' href='http://apnamagic.blogspot.com/2011/09/tracing-lines.html' title='TRACING LINES'/><author><name>alisayani</name><uri>http://www.blogger.com/profile/06975435733083552191</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjAvNitz6ay67ri77M5kGQvfTZJ3KX5VID-Mrh3Zg89lFayLx0ABzLDB5iVJRj48x9BPcNGmHHLx4VFs6_FuA6V9rVTZ1sOs4CfbBe59NBmbiESS1Gt3VG9SbtBxR5EA7Dckii3ve5tTJs/s72-c/lines.gif" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3568344032940005234.post-1212009781420381163</id><published>2011-09-09T09:29:00.000-07:00</published><updated>2011-09-09T09:29:20.273-07:00</updated><title type='text'>Ten matches</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;PROBLEM:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;Remove six matches to make ten.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgMxnndROVdoCWSV1U5Q9xRbmXGqsJk88pNDkDqbMkdzppZLVnhtXz0Ebbloc52qDyMy2Z8wtlI8d4nAVLnmWy9_owLv4Pu2cjkYmY4JGO3lfv76ft51-kaSq5Fu8iG4HcnVSKRoXuIMaQ/s1600/ten_matches.gif&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;91&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgMxnndROVdoCWSV1U5Q9xRbmXGqsJk88pNDkDqbMkdzppZLVnhtXz0Ebbloc52qDyMy2Z8wtlI8d4nAVLnmWy9_owLv4Pu2cjkYmY4JGO3lfv76ft51-kaSq5Fu8iG4HcnVSKRoXuIMaQ/s320/ten_matches.gif&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;script src=&quot;http://www.gmodules.com/ig/ifr?url=http://widgets.clearspring.com/cscallback/gallery/4974b2f77971647c/googlegallery.xml&amp;amp;up_wpid=0&amp;amp;up_urlp=0&amp;amp;synd=open&amp;amp;w=294&amp;amp;h=170&amp;amp;title=Live+Forex+Quotes&amp;amp;border=%23ffffff%7C3px%2C1px+solid+%23999999&amp;amp;output=js&quot;&gt;
S
&lt;/script&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;SOLUTION:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiVXbXTwoW4MJsrvNprgVHyC3hvtCiLmXaLvjggnZvJlXbShvEIC8e-F69TtqnH3GtXkyoRWtRvsWazPRgN50KPVLXs4ZeAcN-iGz8wN3VOFM1J5t21g3poX9MsUb3k-NJJuiEAhEk8nwM/s1600/ten_matches_solution.gif&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;91&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiVXbXTwoW4MJsrvNprgVHyC3hvtCiLmXaLvjggnZvJlXbShvEIC8e-F69TtqnH3GtXkyoRWtRvsWazPRgN50KPVLXs4ZeAcN-iGz8wN3VOFM1J5t21g3poX9MsUb3k-NJJuiEAhEk8nwM/s320/ten_matches_solution.gif&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;
&lt;script src=&quot;http://www.gmodules.com/ig/ifr?url=http://widgets.clearspring.com/cscallback/gallery/4974b2f77971647c/googlegallery.xml&amp;amp;up_wpid=0&amp;amp;up_urlp=0&amp;amp;synd=open&amp;amp;w=294&amp;amp;h=170&amp;amp;title=Live+Forex+Quotes&amp;amp;border=%23ffffff%7C3px%2C1px+solid+%23999999&amp;amp;output=js&quot;&gt;
S
&lt;/script&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://apnamagic.blogspot.com/feeds/1212009781420381163/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://apnamagic.blogspot.com/2011/09/ten-matches.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/1212009781420381163'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/1212009781420381163'/><link rel='alternate' type='text/html' href='http://apnamagic.blogspot.com/2011/09/ten-matches.html' title='Ten matches'/><author><name>alisayani</name><uri>http://www.blogger.com/profile/06975435733083552191</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgMxnndROVdoCWSV1U5Q9xRbmXGqsJk88pNDkDqbMkdzppZLVnhtXz0Ebbloc52qDyMy2Z8wtlI8d4nAVLnmWy9_owLv4Pu2cjkYmY4JGO3lfv76ft51-kaSq5Fu8iG4HcnVSKRoXuIMaQ/s72-c/ten_matches.gif" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3568344032940005234.post-3204608050438630079</id><published>2011-09-09T09:25:00.000-07:00</published><updated>2011-09-09T09:25:34.099-07:00</updated><title type='text'>Missing symbols</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;PROBLEM:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;Complete the square logically&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj8iWQC6IYcjo5MmnaqcGLZgcmPAQSFVfmI8ud7g8UuxpadaO1kp4CRe248ox9qB81tmilarI5W-1JkHemiynZDrPVQ92C3vStv2Jhr5XfXBehL5dK2fTQpLMdoi8z0lKQIHuWhQffH7WM/s1600/missing_symbol.gif&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj8iWQC6IYcjo5MmnaqcGLZgcmPAQSFVfmI8ud7g8UuxpadaO1kp4CRe248ox9qB81tmilarI5W-1JkHemiynZDrPVQ92C3vStv2Jhr5XfXBehL5dK2fTQpLMdoi8z0lKQIHuWhQffH7WM/s1600/missing_symbol.gif&quot; /&gt;&lt;/a&gt;&lt;/span&gt;&lt;/div&gt;&lt;span style=&quot;font-size: small;&quot;&gt;.&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;.&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;.&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;.&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;.&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;.&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;.&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;.&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;.&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;.&lt;br /&gt;
.&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;.&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;.&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;.&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;.&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;script src=&quot;http://www.gmodules.com/ig/ifr?url=http://widgets.clearspring.com/cscallback/gallery/4974b2f77971647c/googlegallery.xml&amp;amp;up_wpid=0&amp;amp;up_urlp=0&amp;amp;synd=open&amp;amp;w=294&amp;amp;h=170&amp;amp;title=Live+Forex+Quotes&amp;amp;border=%23ffffff%7C3px%2C1px+solid+%23999999&amp;amp;output=js&quot;&gt;
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&lt;/script&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;SOLUTION:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg9fyqT5UYydj9jny0-N1q6hWKzeQzFtkal_wf8_iNzt9wIY6eijUYBJqua9A4giXzbiHRf5eoe4OnVBwjzL2PDzVF9izngJGYyHCG4UzS4RS4ZfjncUrVXOU3GQvXipeb-XYM4CyZb4lA/s1600/spade.gif&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg9fyqT5UYydj9jny0-N1q6hWKzeQzFtkal_wf8_iNzt9wIY6eijUYBJqua9A4giXzbiHRf5eoe4OnVBwjzL2PDzVF9izngJGYyHCG4UzS4RS4ZfjncUrVXOU3GQvXipeb-XYM4CyZb4lA/s1600/spade.gif&quot; /&gt;&lt;/a&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;a href=&quot;&quot; name=&quot;MISSINGSYMBOL&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;Each symbol is associated with another&#39;s position; this upside-down spade is always to the left of a right-side-up heart&lt;/span&gt;&lt;/a&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;script src=&quot;http://www.gmodules.com/ig/ifr?url=http://widgets.clearspring.com/cscallback/gallery/4974b2f77971647c/googlegallery.xml&amp;amp;up_wpid=0&amp;amp;up_urlp=0&amp;amp;synd=open&amp;amp;w=294&amp;amp;h=170&amp;amp;title=Live+Forex+Quotes&amp;amp;border=%23ffffff%7C3px%2C1px+solid+%23999999&amp;amp;output=js&quot;&gt;
S
&lt;/script&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://apnamagic.blogspot.com/feeds/3204608050438630079/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://apnamagic.blogspot.com/2011/09/missing-symbols.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/3204608050438630079'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/3204608050438630079'/><link rel='alternate' type='text/html' href='http://apnamagic.blogspot.com/2011/09/missing-symbols.html' title='Missing symbols'/><author><name>alisayani</name><uri>http://www.blogger.com/profile/06975435733083552191</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj8iWQC6IYcjo5MmnaqcGLZgcmPAQSFVfmI8ud7g8UuxpadaO1kp4CRe248ox9qB81tmilarI5W-1JkHemiynZDrPVQ92C3vStv2Jhr5XfXBehL5dK2fTQpLMdoi8z0lKQIHuWhQffH7WM/s72-c/missing_symbol.gif" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3568344032940005234.post-8155024469924048550</id><published>2011-09-09T09:17:00.000-07:00</published><updated>2011-09-09T09:17:10.934-07:00</updated><title type='text'>TEAPOTS</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;PROBLEM:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;a href=&quot;&quot; name=&quot;CIRCLES&quot;&gt;&lt;/a&gt;&lt;/span&gt;&lt;/b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;If teapot A holds 32 ounces of tea, about how many ounces does teapot B hold?&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;script src=&quot;http://www.gmodules.com/ig/ifr?url=http://widgets.clearspring.com/cscallback/gallery/4974b2f77971647c/googlegallery.xml&amp;amp;up_wpid=0&amp;amp;up_urlp=0&amp;amp;synd=open&amp;amp;w=294&amp;amp;h=170&amp;amp;title=Live+Forex+Quotes&amp;amp;border=%23ffffff%7C3px%2C1px+solid+%23999999&amp;amp;output=js&quot;&gt;
P
&lt;/script&gt;&lt;br /&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEieXqnrTFrAGHhM8TuOoW5fNKNdHOgPobGmBWBHGJ9TNPf4rxnzK3ayG32jjsuPiStX5JJTWKY4u2wlYRnCbAzebuj5NHotBS4w1QLwZF4gqs_tL7yTqwNsxdOlu-7Z_8ZIGy0_n2Ke4Ug/s1600/teapots.gif&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;170&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEieXqnrTFrAGHhM8TuOoW5fNKNdHOgPobGmBWBHGJ9TNPf4rxnzK3ayG32jjsuPiStX5JJTWKY4u2wlYRnCbAzebuj5NHotBS4w1QLwZF4gqs_tL7yTqwNsxdOlu-7Z_8ZIGy0_n2Ke4Ug/s320/teapots.gif&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;br /&gt;
SOLUTION:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;16 ounces (about half of pot A).&amp;nbsp; The amount of tea that can be kept within each pot is determined by the height of the spout opening.&amp;nbsp; The tea level cannot rise above the spout opening since any extra tea would merely spill out from the spout.&amp;nbsp; A simple visual estimate would conclude that the spout of teapot B is  approximately half the height of that of teapot A, therefore providing only half of the capacity, or 16 ounces&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://apnamagic.blogspot.com/feeds/8155024469924048550/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://apnamagic.blogspot.com/2011/09/teapots.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/8155024469924048550'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/8155024469924048550'/><link rel='alternate' type='text/html' href='http://apnamagic.blogspot.com/2011/09/teapots.html' title='TEAPOTS'/><author><name>alisayani</name><uri>http://www.blogger.com/profile/06975435733083552191</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEieXqnrTFrAGHhM8TuOoW5fNKNdHOgPobGmBWBHGJ9TNPf4rxnzK3ayG32jjsuPiStX5JJTWKY4u2wlYRnCbAzebuj5NHotBS4w1QLwZF4gqs_tL7yTqwNsxdOlu-7Z_8ZIGy0_n2Ke4Ug/s72-c/teapots.gif" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3568344032940005234.post-3555609696477378973</id><published>2011-09-09T09:11:00.000-07:00</published><updated>2011-09-09T09:11:44.184-07:00</updated><title type='text'>circles</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;PROBLEM:&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;Using six contiguous straight lines, connect all of the sixteen circles shown below.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjbVdGidoQPzDgAmUST4QJy_4bXmyXCnBQ6ChlA8dDDRP1-antdyzz0Xx4EoBnDEDa5u3tKAO0ns2qhsul6OJvMB02qx60kct53WKKuLBNMezq2iYpFJqRVCTCyTiMCvvVH5U3ThRiO7ic/s1600/circles.gif&quot; imageanchor=&quot;1&quot; style=&quot;clear: left; float: left; margin-bottom: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjbVdGidoQPzDgAmUST4QJy_4bXmyXCnBQ6ChlA8dDDRP1-antdyzz0Xx4EoBnDEDa5u3tKAO0ns2qhsul6OJvMB02qx60kct53WKKuLBNMezq2iYpFJqRVCTCyTiMCvvVH5U3ThRiO7ic/s1600/circles.gif&quot; /&gt;&lt;/a&gt;&lt;/span&gt;&lt;/div&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;SOLUTION:&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjD-yMMGYCPHEyGkQtHhdDtjCob0wKsHg5s9vgTHxzgnt-nJ4yS_OhxU5t41H86SUnlOVbubYMt6vJLh-WFbsF5FbW7JuWLGwW7G2N_nhA7wu2d-QlsDy5HVg7GJbEJW01lJ-au1sM0Q5Y/s1600/circles_solution.gif&quot; imageanchor=&quot;1&quot; style=&quot;clear: left; float: left; margin-bottom: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjD-yMMGYCPHEyGkQtHhdDtjCob0wKsHg5s9vgTHxzgnt-nJ4yS_OhxU5t41H86SUnlOVbubYMt6vJLh-WFbsF5FbW7JuWLGwW7G2N_nhA7wu2d-QlsDy5HVg7GJbEJW01lJ-au1sM0Q5Y/s1600/circles_solution.gif&quot; /&gt;&lt;/a&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;b&gt;&amp;nbsp;&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;b&gt;&amp;nbsp;&lt;/b&gt; &lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://apnamagic.blogspot.com/feeds/3555609696477378973/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://apnamagic.blogspot.com/2011/09/circles.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/3555609696477378973'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/3555609696477378973'/><link rel='alternate' type='text/html' href='http://apnamagic.blogspot.com/2011/09/circles.html' title='circles'/><author><name>alisayani</name><uri>http://www.blogger.com/profile/06975435733083552191</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjbVdGidoQPzDgAmUST4QJy_4bXmyXCnBQ6ChlA8dDDRP1-antdyzz0Xx4EoBnDEDa5u3tKAO0ns2qhsul6OJvMB02qx60kct53WKKuLBNMezq2iYpFJqRVCTCyTiMCvvVH5U3ThRiO7ic/s72-c/circles.gif" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3568344032940005234.post-1612941307852554446</id><published>2011-09-07T10:13:00.000-07:00</published><updated>2011-09-09T09:06:23.981-07:00</updated><title type='text'>COINS</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;center&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;b&gt;PROBLEM&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/center&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;a href=&quot;http://www.blogger.com/post-edit.g?blogID=3568344032940005234&amp;amp;postID=1612941307852554446&quot; name=&quot;COINS&quot;&gt;In three moves, rearrange the coins so that the three quarters are together and the two pennies are together with no empty space in between each coin.&amp;nbsp; At the end of each move, the coins are always in a line as in the original configuration.&amp;nbsp; Each move consists of moving two adjacent coins at one time&lt;/a&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;img alt=&quot;Quarter&quot; border=&quot;0&quot; src=&quot;http://www.expandyourmind.com/logicproblems/images/quarter_heads.jpg&quot; /&gt;&lt;img alt=&quot;Penny&quot; border=&quot;0&quot; src=&quot;http://www.expandyourmind.com/logicproblems/images/penny_heads.jpg&quot; /&gt;&lt;img alt=&quot;Quarter&quot; border=&quot;0&quot; src=&quot;http://www.expandyourmind.com/logicproblems/images/quarter_heads.jpg&quot; /&gt;&lt;img alt=&quot;Penny&quot; border=&quot;0&quot; src=&quot;http://www.expandyourmind.com/logicproblems/images/penny_heads.jpg&quot; /&gt;&lt;img alt=&quot;Quarter&quot; border=&quot;0&quot; src=&quot;http://www.expandyourmind.com/logicproblems/images/quarter_heads.jpg&quot; /&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;. &lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;center&gt;&lt;/center&gt;&lt;center&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/center&gt;&lt;center&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;SOLUTION &lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/center&gt;&lt;center&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;(original)&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/center&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;span style=&quot;font-size: small;&quot;&gt; &lt;/span&gt;&lt;center&gt;&lt;img alt=&quot;Coins Solution&quot; border=&quot;0&quot; height=&quot;444&quot; src=&quot;http://www.expandyourmind.com/logicproblems/images/coins_solution.jpg&quot; width=&quot;229&quot; /&gt;&lt;/center&gt;&lt;/span&gt;&lt;/span&gt;&lt;script src=&quot;http://www.gmodules.com/ig/ifr?url=http://widgets.clearspring.com/cscallback/gallery/4974b2f77971647c/googlegallery.xml&amp;amp;up_wpid=0&amp;amp;up_urlp=0&amp;amp;synd=open&amp;amp;w=294&amp;amp;h=170&amp;amp;title=Live+Forex+Quotes&amp;amp;border=%23ffffff%7C3px%2C1px+solid+%23999999&amp;amp;output=js&quot;&gt;
&lt;/script&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://apnamagic.blogspot.com/feeds/1612941307852554446/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://apnamagic.blogspot.com/2011/09/coins.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/1612941307852554446'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/1612941307852554446'/><link rel='alternate' type='text/html' href='http://apnamagic.blogspot.com/2011/09/coins.html' title='COINS'/><author><name>alisayani</name><uri>http://www.blogger.com/profile/06975435733083552191</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3568344032940005234.post-167005185847550564</id><published>2011-09-07T10:07:00.001-07:00</published><updated>2011-09-07T10:09:08.298-07:00</updated><title type='text'>what am I? (lateral logic)</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;PROBLEM:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;If you look, you can&#39;t see me.&lt;br /&gt;
If you see me, you cannot see anything else.&lt;br /&gt;
I can make you walk if you can&#39;t.&lt;br /&gt;
Sometimes I speak the truth.&lt;br /&gt;
And sometimes I lie.&lt;br /&gt;
&lt;br /&gt;
What am I?&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;HINT 1:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;u&gt;Question&lt;/u&gt;: Is &quot;I&quot; something tangible, that can be felt or touched? &lt;br /&gt;
&lt;br /&gt;
&lt;u&gt;Answer&lt;/u&gt;: No&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;HINT 2:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;u&gt;Question&lt;/u&gt;: Is it something that happens at specific times? &lt;br /&gt;
&lt;br /&gt;
&lt;u&gt;Answer&lt;/u&gt;: Yes&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;SOLUTION:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;A dream &lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;script src=&quot;http://www.gmodules.com/ig/ifr?url=http://widgets.clearspring.com/cscallback/gallery/4974b2f77971647c/googlegallery.xml&amp;amp;up_wpid=0&amp;amp;up_urlp=0&amp;amp;synd=open&amp;amp;w=294&amp;amp;h=170&amp;amp;title=Live+Forex+Quotes&amp;amp;border=%23ffffff%7C3px%2C1px+solid+%23999999&amp;amp;output=js&quot;&gt;
&lt;/script&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://apnamagic.blogspot.com/feeds/167005185847550564/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://apnamagic.blogspot.com/2011/09/what-am-i-lateral-logic.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/167005185847550564'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/167005185847550564'/><link rel='alternate' type='text/html' href='http://apnamagic.blogspot.com/2011/09/what-am-i-lateral-logic.html' title='what am I? (lateral logic)'/><author><name>alisayani</name><uri>http://www.blogger.com/profile/06975435733083552191</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3568344032940005234.post-280312803473716362</id><published>2011-09-07T10:07:00.000-07:00</published><updated>2011-09-07T10:09:18.756-07:00</updated><title type='text'>AVOIDING THE TRAIN (lateral logic)</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;PROBLEM:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;A man was walking along a railway track when he spotted an express train speeding towards him.&amp;nbsp; To avoid it, he jumped off the track, but before he jumped he ran ten feet towards the train. &lt;br /&gt;
&lt;br /&gt;
Why?&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;HINT 1:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;u&gt;Question&lt;/u&gt;: Could the man have run less than 10 feet and still avoided the train? &lt;br /&gt;
&lt;br /&gt;
&lt;u&gt;Answer&lt;/u&gt;: No&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;HINT 2:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;u&gt;Question&lt;/u&gt;: Was the train steam-powered? &lt;br /&gt;
&lt;br /&gt;
&lt;u&gt;Answer&lt;/u&gt;: Yes &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;u&gt;Question&lt;/u&gt;: Did the train&#39;s whistle blow just before the man started to run? &lt;br /&gt;
&lt;br /&gt;
&lt;u&gt;Answer&lt;/u&gt;: Yes&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt; &lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;. &lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;SOLUTION:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;The man was walking through a train tunnel and was almost at the end when he heard a whistle and spotted the train coming towards him.&amp;nbsp; He therefore had to move forward, towards the train, so that he could jump clear safely. &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;script src=&quot;http://www.gmodules.com/ig/ifr?url=http://widgets.clearspring.com/cscallback/gallery/4974b2f77971647c/googlegallery.xml&amp;amp;up_wpid=0&amp;amp;up_urlp=0&amp;amp;synd=open&amp;amp;w=294&amp;amp;h=170&amp;amp;title=Live+Forex+Quotes&amp;amp;border=%23ffffff%7C3px%2C1px+solid+%23999999&amp;amp;output=js&quot;&gt;
&lt;/script&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://apnamagic.blogspot.com/feeds/280312803473716362/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://apnamagic.blogspot.com/2011/09/avoiding-train-lateral-logic.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/280312803473716362'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/280312803473716362'/><link rel='alternate' type='text/html' href='http://apnamagic.blogspot.com/2011/09/avoiding-train-lateral-logic.html' title='AVOIDING THE TRAIN (lateral logic)'/><author><name>alisayani</name><uri>http://www.blogger.com/profile/06975435733083552191</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3568344032940005234.post-7835869779574118778</id><published>2011-09-07T10:06:00.000-07:00</published><updated>2011-09-07T10:09:37.810-07:00</updated><title type='text'>THE PILOT&#39;s SON (lateral logic)</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;PROBLEM:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;A man and his son were traveling on a scheduled flight across the Atlantic.&amp;nbsp; The man asked the flight attendant if his son could have a look inside the cockpit.&amp;nbsp; The boy was allowed to do this and the pilot gladly explained about the plane and its controls.&amp;nbsp; After the boy left, the pilot turned to the co-pilot and said to him, &quot;That was my son.&quot; &lt;br /&gt;
&lt;br /&gt;
How could that be?&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;HINT 1:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;u&gt;Question&lt;/u&gt;: Were any stepfathers, grandparents, or in-law relationships involved? &lt;br /&gt;
&lt;br /&gt;
&lt;u&gt;Answer&lt;/u&gt;: No&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;HINT 2:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;u&gt;Question&lt;/u&gt;: Was the passenger the father of the pilot&#39;s son? &lt;br /&gt;
&lt;br /&gt;
&lt;u&gt;Answer&lt;/u&gt;: Yes&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;SOLUTION:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;The pilot was the boy&#39;s mother.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;script src=&quot;http://www.gmodules.com/ig/ifr?url=http://widgets.clearspring.com/cscallback/gallery/4974b2f77971647c/googlegallery.xml&amp;amp;up_wpid=0&amp;amp;up_urlp=0&amp;amp;synd=open&amp;amp;w=294&amp;amp;h=170&amp;amp;title=Live+Forex+Quotes&amp;amp;border=%23ffffff%7C3px%2C1px+solid+%23999999&amp;amp;output=js&quot;&gt;
&lt;/script&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://apnamagic.blogspot.com/feeds/7835869779574118778/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://apnamagic.blogspot.com/2011/09/pilots-son-lateral-logic.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/7835869779574118778'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/7835869779574118778'/><link rel='alternate' type='text/html' href='http://apnamagic.blogspot.com/2011/09/pilots-son-lateral-logic.html' title='THE PILOT&#39;s SON (lateral logic)'/><author><name>alisayani</name><uri>http://www.blogger.com/profile/06975435733083552191</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3568344032940005234.post-9164231637918042701</id><published>2011-09-07T10:05:00.000-07:00</published><updated>2011-09-07T10:09:50.006-07:00</updated><title type='text'>THE LOCKED ROOM (lateral logic)</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;PROBLEM:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;A man is dead in a puddle of blood and water on the floor of a locked windowless room.&amp;nbsp; What happened?&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;HINT 1:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;u&gt;Question&lt;/u&gt;: Was any other person, object, weapon, or other item in the room? &lt;br /&gt;
&lt;br /&gt;
&lt;u&gt;Answer&lt;/u&gt;: No&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;HINT 2:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;u&gt;Question&lt;/u&gt;: Did the man die from his own doing? &lt;br /&gt;
&lt;br /&gt;
&lt;u&gt;Answer&lt;/u&gt;: Yes &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;SOLUTION:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;The man committed suicide with an icicle.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;script src=&quot;http://www.gmodules.com/ig/ifr?url=http://widgets.clearspring.com/cscallback/gallery/4974b2f77971647c/googlegallery.xml&amp;amp;up_wpid=0&amp;amp;up_urlp=0&amp;amp;synd=open&amp;amp;w=294&amp;amp;h=170&amp;amp;title=Live+Forex+Quotes&amp;amp;border=%23ffffff%7C3px%2C1px+solid+%23999999&amp;amp;output=js&quot;&gt;
&lt;/script&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://apnamagic.blogspot.com/feeds/9164231637918042701/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://apnamagic.blogspot.com/2011/09/locked-room-lateral-logic.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/9164231637918042701'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/9164231637918042701'/><link rel='alternate' type='text/html' href='http://apnamagic.blogspot.com/2011/09/locked-room-lateral-logic.html' title='THE LOCKED ROOM (lateral logic)'/><author><name>alisayani</name><uri>http://www.blogger.com/profile/06975435733083552191</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3568344032940005234.post-4586975239907217216</id><published>2011-09-07T09:59:00.000-07:00</published><updated>2011-09-07T09:59:10.467-07:00</updated><title type='text'>A SAFE PLACE (lateral logic)</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;PROBLEM:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;Frank leaves home.&amp;nbsp; When he tries to return, a man wearing a mask blocks his path. &lt;br /&gt;
&lt;br /&gt;
1.) What is Frank doing? &lt;br /&gt;
2.) What is the masked man&#39;s occupation? &lt;br /&gt;
3.) Where is Frank&#39;s &quot;safe place?&quot;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;HINT 1:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;a href=&quot;&quot; name=&quot;SAFEPLACE&quot;&gt;&lt;u&gt;Question&lt;/u&gt;: Does this happen to Frank frequently? &lt;br /&gt;
&lt;br /&gt;
&lt;u&gt;Answer&lt;/u&gt;: Yes&amp;nbsp;&lt;/a&gt; &lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;HINT 2:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;a href=&quot;&quot; name=&quot;SAFEPLACE&quot;&gt;&lt;u&gt;Question&lt;/u&gt;: Does Frank enjoy the experience? &lt;br /&gt;
&lt;br /&gt;
&lt;u&gt;Answer&lt;/u&gt;: Yes&lt;/a&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;SOLUTION:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;1.) Playing Baseball &lt;br /&gt;
2.) A Catcher &lt;br /&gt;
3.) 3rd Base &lt;/span&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://apnamagic.blogspot.com/feeds/4586975239907217216/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://apnamagic.blogspot.com/2011/09/safe-place-lateral-logic.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/4586975239907217216'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/4586975239907217216'/><link rel='alternate' type='text/html' href='http://apnamagic.blogspot.com/2011/09/safe-place-lateral-logic.html' title='A SAFE PLACE (lateral logic)'/><author><name>alisayani</name><uri>http://www.blogger.com/profile/06975435733083552191</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3568344032940005234.post-811604018755698057</id><published>2011-09-07T09:57:00.000-07:00</published><updated>2011-09-07T09:57:24.957-07:00</updated><title type='text'>LAST LETTER (lateral logic)</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;PROBLEM:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;A woman is seated and is writing.&amp;nbsp; There is a thunderstorm outside and she dies as a consequence.&amp;nbsp; How did she die?&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;HINT 1:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;u&gt;Question&lt;/u&gt;: Was she writing at a desk or table? &lt;br /&gt;
&lt;br /&gt;
&lt;u&gt;Answer&lt;/u&gt;: No &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;HINT 2:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;u&gt;Question&lt;/u&gt;: Was she doing her job when writing? &lt;br /&gt;
&lt;br /&gt;
&lt;u&gt;Answer&lt;/u&gt;: Yes&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;SOLUTION:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;She was a skywriter.&amp;nbsp; Lightning struck her airplane and she crashed&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;script src=&quot;http://www.gmodules.com/ig/ifr?url=http://widgets.clearspring.com/cscallback/gallery/4974b2f77971647c/googlegallery.xml&amp;amp;up_wpid=0&amp;amp;up_urlp=0&amp;amp;synd=open&amp;amp;w=294&amp;amp;h=170&amp;amp;title=Live+Forex+Quotes&amp;amp;border=%23ffffff%7C3px%2C1px+solid+%23999999&amp;amp;output=js&quot;&gt;
&lt;/script&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://apnamagic.blogspot.com/feeds/811604018755698057/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://apnamagic.blogspot.com/2011/09/last-letter-lateral-logic.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/811604018755698057'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/811604018755698057'/><link rel='alternate' type='text/html' href='http://apnamagic.blogspot.com/2011/09/last-letter-lateral-logic.html' title='LAST LETTER (lateral logic)'/><author><name>alisayani</name><uri>http://www.blogger.com/profile/06975435733083552191</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3568344032940005234.post-5742988902304738755</id><published>2011-09-07T09:51:00.001-07:00</published><updated>2011-09-07T09:51:39.092-07:00</updated><title type='text'>who done it</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;PROBLEM:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&amp;nbsp;&lt;/b&gt;&lt;/span&gt;&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;a href=&quot;&quot; name=&quot;WHODONEIT&quot;&gt;Melissa and Jessica were working on the computer along with their friends Sandy and Nicole.&amp;nbsp; Suddenly, I heard a crash and then lots of shouts.&amp;nbsp; I rushed in to find out what was going on, finding the computer monitor on the ground, surrounded with broken glass!&amp;nbsp; Sandy and Jessica spoke almost at the same time: &lt;br /&gt;
&lt;br /&gt;
Jessica saying, &quot;It wasn&#39;t me!&quot;&lt;br /&gt;
Sandy saying, &quot;It was Nicole!&quot;&lt;br /&gt;
Melissa yelled, &quot;No, it was Sandy!&quot;&lt;br /&gt;
With a pretty straight face Nicole said, &quot;Sandy&#39;s a liar.&quot; &lt;br /&gt;
&lt;br /&gt;
Only one of them was telling the truth, so who knocked over the monitor?&lt;/a&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;SOLUTION:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;a href=&quot;&quot; name=&quot;WHODONEIT&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;Nicole was telling the truth; Jessica broke the monitor. &lt;br /&gt;
&lt;br /&gt;
If only 1 of the 4 was telling the truth, that means that the other 3 were lying.&amp;nbsp; By using deductive reasoning, one would conclude that the only possibility with the presented facts is that Jessica was lying when she said, &quot;It wasn&#39;t me,&quot; Sandy was lying when she said, &quot;It was Nicole,&quot; and Melissa also lied when she said, &quot;No, it was Sandy.&quot;&amp;nbsp; This leaves Nicole as the truth-teller, revealing Jessica as the culprit, having stated a direct lie when she said &quot;It wasn&#39;t me!&quot;&lt;/span&gt;&lt;/a&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://apnamagic.blogspot.com/feeds/5742988902304738755/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://apnamagic.blogspot.com/2011/09/who-done-it.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/5742988902304738755'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/5742988902304738755'/><link rel='alternate' type='text/html' href='http://apnamagic.blogspot.com/2011/09/who-done-it.html' title='who done it'/><author><name>alisayani</name><uri>http://www.blogger.com/profile/06975435733083552191</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3568344032940005234.post-6114221886033438381</id><published>2011-09-07T09:50:00.001-07:00</published><updated>2011-09-07T09:50:34.899-07:00</updated><title type='text'>pennies</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;a href=&quot;&quot; name=&quot;PENNIES&quot;&gt;PROBLEM:&lt;/a&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;Mary had a coin purse with fifty coins, totaling exactly $1.00.&amp;nbsp; Unfortunately, while counting her change, she dropped one coin.&amp;nbsp; What is the probability that it was a penny?&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;b&gt;SOLUTION:&lt;/b&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;a href=&quot;&quot; name=&quot;PENNIES&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;There is an 85% probability that Mary dropped a penny.&amp;nbsp; There are two (and only two) combinations of 50 coins that will add up to $1.00.&amp;nbsp; These are: &lt;br /&gt;
&lt;br /&gt;
40 Pennies, 2 Dimes, 8 Nickels, and&lt;br /&gt;
45 Pennies, 2 Dimes, 2 Nickels, 1 Quarter &lt;br /&gt;
&lt;br /&gt;
With the first scenario alone, there would be a 80% probability, and the second scenario alone equates a 90% probability, respectfully.&amp;nbsp; But because we don&#39;t know which she had, the probability is the average of the two, or 85%&lt;/span&gt;&lt;/a&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://apnamagic.blogspot.com/feeds/6114221886033438381/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://apnamagic.blogspot.com/2011/09/pennies.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/6114221886033438381'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/6114221886033438381'/><link rel='alternate' type='text/html' href='http://apnamagic.blogspot.com/2011/09/pennies.html' title='pennies'/><author><name>alisayani</name><uri>http://www.blogger.com/profile/06975435733083552191</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3568344032940005234.post-6785412460519338898</id><published>2011-09-07T09:49:00.000-07:00</published><updated>2011-09-07T09:49:04.853-07:00</updated><title type='text'>burning ropes</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;PROBLEM:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;a href=&quot;&quot; name=&quot;BURNINGROPES&quot;&gt;A rope burns non-uniformly for exactly one hour.&amp;nbsp; How do you measure 45 minutes, given two such ropes?&lt;/a&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;SOLUTION:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;a href=&quot;&quot; name=&quot;PUZZLE_SOLVING&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;Yes.&amp;nbsp; There are only 2 puzzles being spoken of: this one, and the one before this one.&amp;nbsp; The entire question could be rephrased like this: &lt;br /&gt;
&lt;br /&gt;
&lt;i&gt;If the puzzle you solved before this one was harder than this one, was the puzzle you solved before this one harder than this one?&lt;/i&gt; &lt;br /&gt;
&lt;br /&gt;
Obviously, the answer to the question is simply &lt;i&gt;yes&lt;/i&gt;&lt;/span&gt;&lt;/a&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://apnamagic.blogspot.com/feeds/6785412460519338898/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://apnamagic.blogspot.com/2011/09/burning-ropes.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/6785412460519338898'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/6785412460519338898'/><link rel='alternate' type='text/html' href='http://apnamagic.blogspot.com/2011/09/burning-ropes.html' title='burning ropes'/><author><name>alisayani</name><uri>http://www.blogger.com/profile/06975435733083552191</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3568344032940005234.post-3829062401200527486</id><published>2011-09-07T09:48:00.000-07:00</published><updated>2011-09-07T09:48:01.471-07:00</updated><title type='text'>PUZZLE SOLVING</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;PROBLEM:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;a href=&quot;&quot; name=&quot;PUZZLE_SOLVING&quot;&gt;If  the puzzle you solved before you solved the puzzle you solved after you  solved the puzzle you solved before you solved this one, was harder than the puzzle you solved after you solved the puzzle you  solved before you solved this one, was the puzzle you solved before you solved this one harder than this one?&lt;/a&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: ARIAL,TIMES; font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;SOLUTION:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;&lt;a href=&quot;&quot; name=&quot;PUZZLE_SOLVING&quot;&gt;&lt;span style=&quot;font-family: ARIAL,TIMES;&quot;&gt;Yes.&amp;nbsp; There are only 2 puzzles being spoken of: this one, and the one before this one.&amp;nbsp; The entire question could be rephrased like this: &lt;br /&gt;
&lt;br /&gt;
&lt;i&gt;If the puzzle you solved before this one was harder than this one, was the puzzle you solved before this one harder than this one?&lt;/i&gt; &lt;br /&gt;
&lt;br /&gt;
Obviously, the answer to the question is simply &lt;i&gt;yes&lt;/i&gt;&lt;/span&gt;&lt;/a&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://apnamagic.blogspot.com/feeds/3829062401200527486/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://apnamagic.blogspot.com/2011/09/puzzle-solving.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/3829062401200527486'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3568344032940005234/posts/default/3829062401200527486'/><link rel='alternate' type='text/html' href='http://apnamagic.blogspot.com/2011/09/puzzle-solving.html' title='PUZZLE SOLVING'/><author><name>alisayani</name><uri>http://www.blogger.com/profile/06975435733083552191</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry></feed>