<?xml version='1.0' encoding='UTF-8'?><rss xmlns:atom="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" version="2.0"><channel><atom:id>tag:blogger.com,1999:blog-6231931743906059601</atom:id><lastBuildDate>Fri, 18 Oct 2024 06:59:02 +0000</lastBuildDate><category>SCRA</category><title>Special Class Railway Apprentice</title><description></description><link>http://scraexam.blogspot.com/</link><managingEditor>noreply@blogger.com (Anonymous)</managingEditor><generator>Blogger</generator><openSearch:totalResults>34</openSearch:totalResults><openSearch:startIndex>1</openSearch:startIndex><openSearch:itemsPerPage>25</openSearch:itemsPerPage><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6231931743906059601.post-5091096461588992665</guid><pubDate>Thu, 24 Nov 2011 16:56:00 +0000</pubDate><atom:updated>2011-11-24T09:02:13.683-08:00</atom:updated><title>Application of Derivatives | SCRA</title><description>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;div style=&quot;color: #cc0000;&quot;&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/AVvXsEiB8rENeMyimNwk9DqFn3keC6X0E8Lb1-yhg9scUsPI_yHIq-QiBBi83nHKph89B0oZCYY772d1sq6XXWPDTJ-Oc94kL-aG_oENpyabJdpunh97ZnhuaDS-WIX4n-ad_bpgXxAS7cMig0EC/s1600/Applications_of_Derivatives.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; height=&quot;263&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiB8rENeMyimNwk9DqFn3keC6X0E8Lb1-yhg9scUsPI_yHIq-QiBBi83nHKph89B0oZCYY772d1sq6XXWPDTJ-Oc94kL-aG_oENpyabJdpunh97ZnhuaDS-WIX4n-ad_bpgXxAS7cMig0EC/s320/Applications_of_Derivatives.gif&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;i&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;b&gt;&amp;nbsp;&lt;/b&gt;&lt;/i&gt;&lt;br /&gt;
&lt;i&gt;&lt;b&gt;Increasing &amp;amp; Decreasing Functions&lt;/b&gt;&lt;/i&gt;  &lt;/div&gt;&lt;span style=&quot;font-size: small;&quot;&gt;1. Let f : &lt;img align=&quot;bottom&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritiOE0.GIF&quot; /&gt; be a real function, then &lt;br /&gt;
(i) If &lt;img align=&quot;bottom&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritiOE1.GIF&quot; /&gt;, then f is said to be increasing in A. &lt;br /&gt;
(ii) If &lt;img align=&quot;bottom&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritiOE2.GIF&quot; /&gt;, then f is said to be decreasing in A. &lt;br /&gt;
(iii) If &lt;img align=&quot;bottom&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritiOE3.GIF&quot; /&gt;, then f is said to be strictly increasing in A. &lt;br /&gt;
(iv) If &lt;img align=&quot;bottom&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritiOE4.GIF&quot; /&gt;, then f is said to be strictly decreasing in A. &lt;br /&gt;
(v) A function  f(x) is said to be monotonic in A if f(x) is either increasing (or) decreasing  in A. &lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;***************&lt;br /&gt;
(i)&lt;/b&gt; If &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;x&lt;/i&gt; &lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/greater_equal.gif&quot; /&gt; 0  &lt;img align=&quot;bottom&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritiOE5.GIF&quot; /&gt; &lt;i&gt;x&lt;/i&gt; &lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/belongs_to.gif&quot; /&gt;  (&lt;i&gt;a&lt;/i&gt;, &lt;i&gt;b&lt;/i&gt;) and points which make &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;x&lt;/i&gt;) equal to zero  (in between (&lt;i&gt;a&lt;/i&gt;, &lt;i&gt;b&lt;/i&gt;)) don&#39;t form an interval, then  &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) would be increasing in [&lt;i&gt;a&lt;/i&gt;, &lt;i&gt;b&lt;/i&gt;] &lt;br /&gt;
&lt;b&gt;(ii)&lt;/b&gt;  If &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;x&lt;/i&gt; &lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/less_equal.gif&quot; /&gt; 0 &lt;img align=&quot;bottom&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritiOE6.GIF&quot; /&gt; &lt;i&gt;x&lt;/i&gt; &lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/belongs_to.gif&quot; /&gt;  (&lt;i&gt;a&lt;/i&gt;, &lt;i&gt;b&lt;/i&gt;) and points which make &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;x&lt;/i&gt;) equal to zero  (in between (&lt;i&gt;a&lt;/i&gt;, &lt;i&gt;b&lt;/i&gt;)) don&#39;t form an interval, &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;)  would be decreasing in [&lt;i&gt;a&lt;/i&gt;, &lt;i&gt;b&lt;/i&gt;] &lt;br /&gt;
&lt;b&gt;(iii)&lt;/b&gt; If &lt;i&gt;f&lt;/i&gt;(0) = 0  and &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;x&lt;/i&gt;) &lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/greater_equal.gif&quot; /&gt; 0  &lt;img align=&quot;bottom&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritiOE7.GIF&quot; /&gt; &lt;i&gt;x&lt;/i&gt; &lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/belongs_to.gif&quot; /&gt; R, then  &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) &lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/less_equal.gif&quot; /&gt;0 &lt;img align=&quot;bottom&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritiOE8.GIF&quot; /&gt; &lt;i&gt;x&lt;/i&gt; &lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/belongs_to.gif&quot; /&gt; ( &lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/infinity.gif&quot; /&gt;, 0) and  &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) &lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/greater_equal.gif&quot; /&gt; 0  &lt;img align=&quot;bottom&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritiOE9.GIF&quot; /&gt; &lt;i&gt;x&lt;/i&gt; &lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/belongs_to.gif&quot; /&gt; (0,  &lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/infinity.gif&quot; /&gt;)  &lt;br /&gt;
&lt;b&gt;(iv)&lt;/b&gt; If &lt;i&gt;f&lt;/i&gt;(0) = 0 and &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;x&lt;/i&gt;) &lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/less_equal.gif&quot; /&gt; 0 &lt;img align=&quot;bottom&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritOE10.GIF&quot; /&gt; &lt;i&gt;x&lt;/i&gt; &lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/belongs_to.gif&quot; /&gt; R, then  &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) &lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/greater_equal.gif&quot; /&gt; 0  &lt;img align=&quot;bottom&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritOE11.GIF&quot; /&gt; &lt;i&gt;x&lt;/i&gt; &lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/belongs_to.gif&quot; /&gt; ( &lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/infinity.gif&quot; /&gt;, 0) and  &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) &lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/less_equal.gif&quot; /&gt; 0 &lt;img align=&quot;bottom&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritOE12.GIF&quot; /&gt; &lt;i&gt;x&lt;/i&gt; &lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/belongs_to.gif&quot; /&gt; (0,  &lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/infinity.gif&quot; /&gt;)  &lt;br /&gt;
&lt;b&gt;(v)&lt;/b&gt; A function is said to be monotonic if it&#39;s either increasing or  decreasing. &lt;br /&gt;
&lt;b&gt;(vi)&lt;/b&gt; The points for which &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;x&lt;/i&gt;)  is equal  to zero or doesn&#39;t exist are called critical points. Here it  should also be  noted that critical points are the interior points of an  interval.  &lt;br /&gt;
&lt;b&gt;(vii)&lt;/b&gt; The stationary points are the points where &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;x&lt;/i&gt;)  = 0 in the domain. &lt;br /&gt;
&lt;b&gt;&amp;nbsp;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&amp;nbsp;Local Maximum and Local Minimum:&lt;/b&gt;&lt;/span&gt;  &lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
Let &lt;i&gt;y&lt;/i&gt; = &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) be a function defined at &lt;i&gt;x&lt;/i&gt; =  &lt;i&gt;a&lt;/i&gt; and also in the vicinity of the point &lt;i&gt;x&lt;/i&gt; = &lt;i&gt;a&lt;/i&gt;. Then  &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) is said to have a &lt;b&gt;local maximum &lt;/b&gt;at &lt;i&gt;x&lt;/i&gt; =  &lt;i&gt;a&lt;/i&gt;, if the value of the function at &lt;i&gt;x&lt;/i&gt; = &lt;i&gt;a&lt;/i&gt; is greater than  the value of the function at the neighbouring points of &lt;i&gt;x&lt;/i&gt; = &lt;i&gt;a&lt;/i&gt;.  Mathematically, &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;a&lt;/i&gt;) &amp;gt; &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;a&lt;/i&gt; &lt;i&gt;h&lt;/i&gt;) and  &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;a&lt;/i&gt;) &amp;gt; &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;a&lt;/i&gt; + &lt;i&gt;h&lt;/i&gt;) where &lt;i&gt;h&lt;/i&gt; &amp;gt; 0  &lt;br /&gt;
Similarly, &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) is said to have a &lt;b&gt;local minimum &lt;/b&gt;at  &lt;i&gt;x&lt;/i&gt; = &lt;i&gt;a&lt;/i&gt;, if the value of the function at &lt;i&gt;x&lt;/i&gt; = &lt;i&gt;a&lt;/i&gt; is less  than the value of the function at the neighbouring points of &lt;i&gt;x&lt;/i&gt; =  &lt;i&gt;a&lt;/i&gt;. &lt;br /&gt;
Mathematically, &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;a&lt;/i&gt;) &amp;lt; &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;a&lt;/i&gt;  &lt;i&gt;h&lt;/i&gt;) and &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;a&lt;/i&gt;) &amp;lt; &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;a&lt;/i&gt; + &lt;i&gt;h&lt;/i&gt;) where  &lt;i&gt;h&lt;/i&gt; &amp;gt; 0 &lt;br /&gt;
A local maximum or a local minimum is also called a local  extremum. &lt;br /&gt;
&lt;img align=&quot;bottom&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritOE13.GIF&quot; /&gt; &lt;img align=&quot;bottom&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritOE14.GIF&quot; /&gt;&lt;/span&gt; &lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
&lt;b&gt;&lt;br /&gt;
Test for Local Maximum / Minimum&lt;/b&gt;&lt;/span&gt; &lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
We have  two cases to consider &lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;Test for Local Maximum / Minimum at &lt;i&gt;x&lt;/i&gt; =  &lt;i&gt;a&lt;/i&gt; if &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) is Differentiable at &lt;i&gt;x&lt;/i&gt; = &lt;i&gt;a&lt;/i&gt;:&lt;/b&gt;&lt;/span&gt;  &lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
If &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) is differentiable at &lt;i&gt;x&lt;/i&gt; = &lt;i&gt;a&lt;/i&gt; and if it is  a critical point of the function (i.e., &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;a&lt;/i&gt;) = 0) then we have  the following three tests to decide whether &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) has a local  maximum or local mininim or neither at &lt;i&gt;x&lt;/i&gt; = &lt;i&gt;a&lt;/i&gt;. &lt;br /&gt;
&lt;br /&gt;
i &lt;b&gt;First  Derivative Test:&lt;/b&gt;&lt;/span&gt; &lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
If &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;a&lt;/i&gt;) = 0 and &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;x&lt;/i&gt;)  changes it&#39;s sign while passing through the point &lt;i&gt;x&lt;/i&gt; = &lt;i&gt;a&lt;/i&gt;, then  &lt;br /&gt;
(a) &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) would have a local maximum at &lt;i&gt;x&lt;/i&gt; = &lt;i&gt;a&lt;/i&gt; if  &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;a&lt;/i&gt; 0) &amp;gt; 0 and &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;a&lt;/i&gt; + 0) &amp;lt; 0. It means that  &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;x&lt;/i&gt;) should change its sign from positive to negative. &lt;br /&gt;
(b)  &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) would have local minimum at &lt;i&gt;x&lt;/i&gt; = &lt;i&gt;a&lt;/i&gt; if &lt;i&gt;f&lt;/i&gt;  &#39;(&lt;i&gt;a&lt;/i&gt; 0) &amp;lt; 0 and &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;a&lt;/i&gt; + 0) &amp;gt; 0. It means that &lt;i&gt;f&lt;/i&gt;  &#39;(&lt;i&gt;x&lt;/i&gt;) should change its sign from negative to positive. &lt;br /&gt;
(c) If  &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) doesn&#39;t change its sign while passing through &lt;i&gt;x&lt;/i&gt; =  &lt;i&gt;a&lt;/i&gt;, then &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) would have neither a maximum nor minimum at  &lt;i&gt;x&lt;/i&gt; = &lt;i&gt;a&lt;/i&gt;&lt;/span&gt; &lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
&lt;br /&gt;
ii. &lt;b&gt;Second Derivative Test:&lt;/b&gt;&lt;/span&gt; &lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
This test is  basically the mathematical representatin of the first derivative test. It simply  says that, &lt;br /&gt;
(a) If &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;a&lt;/i&gt;) = 0 and &lt;i&gt;f&lt;/i&gt; &#39;&#39;(&lt;i&gt;a&lt;/i&gt;) &amp;lt; 0,  then &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) would have a local maximum at &lt;i&gt;x&lt;/i&gt; = &lt;i&gt;a&lt;/i&gt;.  &lt;br /&gt;
(b) If &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;a&lt;/i&gt;) = 0 and &lt;i&gt;f&lt;/i&gt; &#39;&#39;(&lt;i&gt;a&lt;/i&gt;) &amp;gt; 0, then  &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) would have a local minimum at &lt;i&gt;x&lt;/i&gt; = &lt;i&gt;a&lt;/i&gt;. &lt;br /&gt;
(c) If  &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;a&lt;/i&gt;) = 0 and &lt;i&gt;f&lt;/i&gt; &#39;&#39;(&lt;i&gt;a&lt;/i&gt;) = 0, then this test fails and  the existence of a local maximum / minimum at &lt;i&gt;x&lt;/i&gt; = &lt;i&gt;a&lt;/i&gt; is decided on  the basis of the nth derivative test. &lt;br /&gt;
&lt;br /&gt;
iii.&lt;b&gt;  &lt;i&gt;n&lt;/i&gt;&lt;sup&gt;th&lt;/sup&gt;&lt;sub&gt; &lt;/sub&gt;Derivative Test:&lt;/b&gt;&lt;/span&gt; &lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
It is nothing but the  general version of the second derivative test. It says that if, &lt;i&gt;f&lt;/i&gt;  &#39;(&lt;i&gt;a&lt;/i&gt;) = &lt;i&gt;f&lt;/i&gt; &#39;&#39;(&lt;i&gt;a&lt;/i&gt;) = ....... = &lt;i&gt;f &lt;/i&gt;&lt;sup&gt;n&lt;/sup&gt;(&lt;i&gt;a&lt;/i&gt;)  = 0 and &lt;i&gt;f&lt;/i&gt; &lt;sup&gt;n + 1&lt;/sup&gt;(&lt;i&gt;a&lt;/i&gt;) &lt;sup&gt;1&lt;/sup&gt; 0 (all derivatives of  the function up to order `&lt;i&gt;n&lt;/i&gt;&#39; vanishes and (&lt;i&gt;n&lt;/i&gt; + 1)th order  derivative does not vanish at &lt;i&gt;x&lt;/i&gt; = &lt;i&gt;a&lt;/i&gt;, then &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) would  have a local maximum or minimum at &lt;i&gt;x&lt;/i&gt; = &lt;i&gt;a&lt;/i&gt; iff &lt;i&gt;n&lt;/i&gt; is odd  natural number and that &lt;i&gt;x&lt;/i&gt; = &lt;i&gt;a&lt;/i&gt; would be a point of local maxima if  &lt;i&gt;f&lt;/i&gt; &lt;sup&gt;n + 1&lt;/sup&gt; (&lt;i&gt;a&lt;/i&gt;) &amp;lt; 0 and would be a point of local minima  if &lt;i&gt;f&lt;/i&gt; &lt;sup&gt;n + 1&lt;/sup&gt;(&lt;i&gt;a&lt;/i&gt;) &amp;gt; 0. &lt;br /&gt;
It  is clear that the last two  tests are basically the mathematical  representation of the first derivative  test. But that shouldn&#39;t  diminish the importance of these tests. Because at time  it&#39;s becomes  very difficult to decide whether &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;x&lt;/i&gt;) changes it&#39;s  sign or not while passing through point &lt;i&gt;x&lt;/i&gt; = &lt;i&gt;a&lt;/i&gt;, and then remaining  tests may come handy in these type of situations. &lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;Test for Local  Maximum / Minimum at &lt;i&gt;x&lt;/i&gt; = &lt;i&gt;a&lt;/i&gt; if &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) is not  Differentiable at &lt;i&gt;x&lt;/i&gt; = &lt;i&gt;a&lt;/i&gt;: &lt;br /&gt;
Case I.&lt;/b&gt; When &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;)  is continuous at &lt;i&gt;x&lt;/i&gt; = &lt;i&gt;a&lt;/i&gt; and &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;a&lt;/i&gt; &lt;i&gt;h&lt;/i&gt;) and  &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;a&lt;/i&gt; + &lt;i&gt;h&lt;/i&gt;) exist and are non-zero, then &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;)  has a local maximum or minimum at &lt;i&gt;x&lt;/i&gt; = &lt;i&gt;a&lt;/i&gt; if &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;a&lt;/i&gt;  &lt;i&gt;h&lt;/i&gt;) and &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;a&lt;/i&gt; + &lt;i&gt;h&lt;/i&gt;) are of opposite signs. &lt;br /&gt;
If  &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;a&lt;/i&gt; &lt;i&gt;h&lt;/i&gt;) &amp;gt; 0 and &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;a&lt;/i&gt; + &lt;i&gt;h&lt;/i&gt;) &amp;lt; 0  then &lt;i&gt;x&lt;/i&gt; = &lt;i&gt;a&lt;/i&gt; will be a point of local maximum &lt;br /&gt;
If &lt;i&gt;f&lt;/i&gt;  &#39;(&lt;i&gt;a&lt;/i&gt; &lt;i&gt;h&lt;/i&gt;) &amp;lt; 0 and &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;a&lt;/i&gt; + &lt;i&gt;h&lt;/i&gt;) &amp;gt; 0 then  &lt;i&gt;x&lt;/i&gt; = &lt;i&gt;a&lt;/i&gt; will be a point of local minimum &lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;Case II.&lt;/b&gt;  When &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) is continuous and &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;a&lt;/i&gt; &lt;i&gt;h&lt;/i&gt;) and  &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;a&lt;/i&gt; + &lt;i&gt;h&lt;/i&gt;)  exist but one of them is zero, we should infer  the information about  the existence of local maxima / minima from the basic  definition of  local maxima / minima. &lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;Case III.&lt;/b&gt; If  &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) is not continuous at &lt;i&gt;x&lt;/i&gt; = &lt;i&gt;a&lt;/i&gt; and &lt;i&gt;f&lt;/i&gt;  &#39;(&lt;i&gt;a&lt;/i&gt; &lt;i&gt;h&lt;/i&gt;) and / or &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;a&lt;/i&gt; + &lt;i&gt;h&lt;/i&gt;) are not finite,  then compare the values of &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) at the neighbouring point of  &lt;i&gt;x&lt;/i&gt; = &lt;i&gt;a&lt;/i&gt;. &lt;br /&gt;
&lt;b&gt;Remarks:&lt;/b&gt; It is advisable to draw the graph of  the function in the vicinity of the point &lt;i&gt;x&lt;/i&gt; = &lt;i&gt;a&lt;/i&gt; becasue the graph  would give us the clear cicture about the existence of local maxima / minima at  &lt;i&gt;x&lt;/i&gt; = &lt;i&gt;a&lt;/i&gt;. &lt;br /&gt;
&lt;b&gt;Global Maximum/Minimum&lt;/b&gt;&lt;/span&gt; &lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
Let  &lt;i&gt;y&lt;/i&gt; = &lt;i&gt;f&lt;/i&gt; (&lt;i&gt;x&lt;/i&gt;) be a given function with domain D. Let [&lt;i&gt;a,  b&lt;/i&gt;] &lt;img alt=&quot;&quot; height=&quot;11&quot; src=&quot;http://testonline.in//templates/default/images/tests_cloaked/GOIIT/Vriti%20Applications%20of%20Derivatives%20class%2012th_files/igrave.gif&quot; width=&quot;15&quot; /&gt; D.  Global maximum/minimum of &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) in [&lt;i&gt;a&lt;/i&gt;, &lt;i&gt;b&lt;/i&gt;] is  basically the greatest/least value of &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) in [&lt;i&gt;a&lt;/i&gt;,  &lt;i&gt;b&lt;/i&gt;]. &lt;br /&gt;
Global maximum and minimum in [&lt;i&gt;a&lt;/i&gt;, &lt;i&gt;b&lt;/i&gt;] would always  occur at critical points of &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) within [&lt;i&gt;a&lt;/i&gt;, &lt;i&gt;b&lt;/i&gt;] or at  the end points of the interval. &lt;br /&gt;
&lt;b&gt;&amp;nbsp;Global Maximum/Minimum in  [&lt;i&gt;a&lt;/i&gt;, &lt;i&gt;b&lt;/i&gt;]&lt;/b&gt;&lt;/span&gt; &lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
In order to find the global maximum and minimum of  &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) in [&lt;i&gt;a&lt;/i&gt;, &lt;i&gt;b&lt;/i&gt;], find out all the critical points of  &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) in (&lt;i&gt;a&lt;/i&gt;, &lt;i&gt;b&lt;/i&gt;). Let &lt;i&gt;c&lt;/i&gt;&lt;sub&gt;1&lt;/sub&gt;,  &lt;i&gt;c&lt;/i&gt;&lt;sub&gt;2&lt;/sub&gt;, ....... &lt;i&gt;c&lt;/i&gt;&lt;sub&gt;n&lt;/sub&gt; be the different cricitial  points. Find the value of the function at these critical points. Let  &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;c&lt;/i&gt;&lt;sub&gt;1&lt;/sub&gt;), &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;c&lt;/i&gt;&lt;sub&gt;2&lt;/sub&gt;), .......  &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;c&lt;/i&gt;&lt;sub&gt;n&lt;/sub&gt;) be the values of the function at critical points.  &lt;br /&gt;
Say, M&lt;sub&gt;1&lt;/sub&gt; = max{&lt;i&gt;f&lt;/i&gt;(&lt;i&gt;a&lt;/i&gt;), &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;c&lt;/i&gt;&lt;sub&gt;1&lt;/sub&gt;),  &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;c&lt;/i&gt;&lt;sub&gt;2&lt;/sub&gt;), ..........., &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;c&lt;/i&gt;&lt;sub&gt;n&lt;/sub&gt;),  &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;b&lt;/i&gt;)} &lt;br /&gt;
and M&lt;sub&gt;2&lt;/sub&gt; = min{&lt;i&gt;f&lt;/i&gt;(&lt;i&gt;a&lt;/i&gt;),  &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;c&lt;/i&gt;&lt;sub&gt;1&lt;/sub&gt;), &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;c&lt;/i&gt;&lt;sub&gt;2&lt;/sub&gt;), ...........,  &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;c&lt;/i&gt;&lt;sub&gt;n&lt;/sub&gt;), &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;b&lt;/i&gt;)} &lt;br /&gt;
Then M&lt;sub&gt;1&lt;/sub&gt; is  the greatest value of &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) in [&lt;i&gt;a&lt;/i&gt;, &lt;i&gt;b&lt;/i&gt;] and  M&lt;sub&gt;2&lt;/sub&gt; is the least value of &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) in [&lt;i&gt;a&lt;/i&gt;, &lt;i&gt;t&lt;/i&gt;]  &lt;br /&gt;
&lt;b&gt;Global Maximum/Minimum in (&lt;i&gt;a&lt;/i&gt;, &lt;i&gt;b&lt;/i&gt;)&lt;/b&gt;&lt;/span&gt; &lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
Method  for obtaining the greatest and least values of &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) in (&lt;i&gt;a&lt;/i&gt;,  &lt;i&gt;b&lt;/i&gt;) is almost same as the method used for obtaining the greatest and least  values in [&lt;i&gt;a&lt;/i&gt;, &lt;i&gt;b&lt;/i&gt;], however with a caution. &lt;br /&gt;
Let &lt;i&gt;y&lt;/i&gt; =  &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) be a function and &lt;i&gt;c&lt;/i&gt;&lt;sub&gt;1&lt;/sub&gt;, &lt;i&gt;c&lt;/i&gt;&lt;sub&gt;2&lt;/sub&gt;,  ....... &lt;i&gt;c&lt;/i&gt;&lt;sub&gt;n&lt;/sub&gt; be the different critical points of the function in  (&lt;i&gt;a&lt;/i&gt;, &lt;i&gt;b&lt;/i&gt;) &lt;br /&gt;
Let M&lt;sub&gt;1&lt;/sub&gt; = max  {&lt;i&gt;f&lt;/i&gt;(&lt;i&gt;c&lt;/i&gt;&lt;sub&gt;1&lt;/sub&gt;), &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;c&lt;/i&gt;&lt;sub&gt;2&lt;/sub&gt;),  &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;c&lt;/i&gt;&lt;sub&gt;3&lt;/sub&gt;) ........... &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;c&lt;/i&gt;&lt;sub&gt;n&lt;/sub&gt;)}  &lt;br /&gt;
and M&lt;sub&gt;2&lt;/sub&gt; = min {&lt;i&gt;f&lt;/i&gt;(&lt;i&gt;c&lt;/i&gt;&lt;sub&gt;1&lt;/sub&gt;),  &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;c&lt;/i&gt;&lt;sub&gt;2&lt;/sub&gt;), &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;c&lt;/i&gt;&lt;sub&gt;3&lt;/sub&gt;) ...........  &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;c&lt;/i&gt;&lt;sub&gt;n&lt;/sub&gt;)} &lt;br /&gt;
Now if &lt;img align=&quot;absmiddle&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritOE15.GIF&quot; /&gt; would not have global maximum (or global minimum) in (&lt;i&gt;a&lt;/i&gt;,  &lt;i&gt;b&lt;/i&gt;) &lt;br /&gt;
This means that if the limiting values at the end points are  greater than M&lt;sub&gt;1&lt;/sub&gt; or less than M&lt;sub&gt;2&lt;/sub&gt;, then &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;)  would not have global maximum/minimum in (&lt;i&gt;a&lt;/i&gt;, &lt;i&gt;b&lt;/i&gt;). On the other hand  if M&lt;sub&gt;1&lt;/sub&gt; &amp;gt; &lt;img align=&quot;absmiddle&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritOE16.GIF&quot; /&gt;, then M&lt;sub&gt;1&lt;/sub&gt; and M&lt;sub&gt;2&lt;/sub&gt; would respectively be the  global maximum and global minimum of &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) in (&lt;i&gt;a&lt;/i&gt;, &lt;i&gt;b&lt;/i&gt;).  &lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;Rolle&#39;s Theorem&lt;/b&gt;&lt;/span&gt; &lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
It is one of the most fundamental theorem of  differential calculus and has far reaching consequences. It states that if  &lt;i&gt;y&lt;/i&gt; = &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) be a given function and satisfies. &lt;br /&gt;
&lt;b&gt;.&lt;/b&gt;  &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) is continuous in [&lt;i&gt;a&lt;/i&gt;, &lt;i&gt;b&lt;/i&gt;] &lt;br /&gt;
&lt;b&gt;.&lt;/b&gt;  &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) is differentiable in (&lt;i&gt;a&lt;/i&gt;, &lt;i&gt;b&lt;/i&gt;) &lt;br /&gt;
&lt;b&gt;.&lt;/b&gt;  &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;a&lt;/i&gt;) = &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;b&lt;/i&gt;) &lt;br /&gt;
Then &lt;i&gt;f &lt;/i&gt;&#39;(&lt;i&gt;x&lt;/i&gt;) = 0 at  least once for some &lt;i&gt;x&lt;/i&gt; &lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/belongs_to.gif&quot; /&gt;  (&lt;i&gt;a&lt;/i&gt;, &lt;i&gt;b&lt;/i&gt;) &lt;br /&gt;
&lt;img align=&quot;bottom&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritOE17.GIF&quot; /&gt;&lt;/span&gt; &lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
If &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) satisfies the conditions of Rolle&#39;s  theorem in [&lt;i&gt;a&lt;/i&gt;, &lt;i&gt;b&lt;/i&gt;], it&#39;s derivative would vanish at least once in  (&lt;i&gt;a&lt;/i&gt;, &lt;i&gt;b&lt;/i&gt;). &lt;br /&gt;
A &lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/equal_three_lines.gif&quot; /&gt;  (&lt;i&gt;a&lt;/i&gt;, &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;a&lt;/i&gt;)), B &lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/equal_three_lines.gif&quot; /&gt;  (&lt;i&gt;b&lt;/i&gt;, &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;b&lt;/i&gt;)) &lt;br /&gt;
as &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;a&lt;/i&gt;) = &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;b&lt;/i&gt;)  (third condition of Rolle&#39;s theorem) &lt;br /&gt;
&lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/double_arrow.gif&quot; /&gt; Slope  of line AB = 0 &lt;br /&gt;
&lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/double_arrow.gif&quot; /&gt; We  would have at least one point belonging to (&lt;i&gt;a&lt;/i&gt;, &lt;i&gt;b&lt;/i&gt;) so that tangent  drawn to the curve at that point would be parallel to the line AB.  &lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;Illustration:&lt;/b&gt; Let &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) = &lt;i&gt;x&lt;/i&gt;&lt;sup&gt;2&lt;/sup&gt;&lt;sub&gt;  &lt;/sub&gt;3&lt;i&gt;x&lt;/i&gt; + 4. Test for Rolle&#39;s Theorem in [1, 2] &lt;br /&gt;
&lt;b&gt;Sol.&lt;/b&gt; As  &lt;i&gt;f&lt;/i&gt;(1) = &lt;i&gt;f&lt;/i&gt;(2) = 2 &lt;br /&gt;
Now, &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;x&lt;/i&gt;) = 0 &lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/double_arrow.gif&quot; /&gt;2&lt;i&gt;x-&lt;/i&gt;  3 = 0 &lt;br /&gt;
&lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/double_arrow.gif&quot; /&gt;  &lt;i&gt;x&lt;/i&gt; = &lt;img align=&quot;absmiddle&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritOE18.GIF&quot; /&gt; &lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/double_arrow.gif&quot; /&gt;  &lt;i&gt;x&lt;/i&gt; &lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/belongs_to.gif&quot; /&gt; (1, 2)  &lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;Lagrange&#39;s Mean Value Theorem&lt;/b&gt;&lt;/span&gt; &lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
This theorem is in fact the  general version of Rolle&#39;s theorem. It says that if &lt;i&gt;y&lt;/i&gt; =  &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) be a given function which is &lt;br /&gt;
&lt;b&gt;.&lt;/b&gt; Continuous in  [&lt;i&gt;a&lt;/i&gt;, &lt;i&gt;b&lt;/i&gt;] &lt;br /&gt;
&lt;b&gt;.&lt;/b&gt; Differentiable in (&lt;i&gt;a&lt;/i&gt;, &lt;i&gt;b&lt;/i&gt;)  &lt;br /&gt;
Then &lt;br /&gt;
&lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;x&lt;/i&gt;) = &lt;img align=&quot;bottom&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritOE19.GIF&quot; /&gt;, at least once forsome &lt;i&gt;x&lt;/i&gt; &lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/belongs_to.gif&quot; /&gt;  (&lt;i&gt;a&lt;/i&gt;, &lt;i&gt;b&lt;/i&gt;) &lt;br /&gt;
Let A &lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/equal_three_lines.gif&quot; /&gt;  (&lt;i&gt;a&lt;/i&gt;, &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;a&lt;/i&gt;)) and B &lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/equal_three_lines.gif&quot; /&gt;  (&lt;i&gt;b&lt;/i&gt;, &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;a&lt;/i&gt;)) &lt;br /&gt;
Slope of Chord AB = &lt;img align=&quot;bottom&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritOE20.GIF&quot; /&gt;&lt;/span&gt; &lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
&lt;b&gt;Application of Derivative in Determining the Nature of  Roots of Cubic Polynomial&lt;/b&gt;&lt;/span&gt; &lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
Let &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) = &lt;i&gt;x&lt;/i&gt;&lt;sup&gt;3&lt;/sup&gt;  + &lt;i&gt;ax&lt;/i&gt;&lt;sup&gt;2&lt;/sup&gt; + &lt;i&gt;bx&lt;/i&gt; + &lt;i&gt;c&lt;/i&gt; be the given cubic polynomial,  and &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) = 0 be the corresponding cubic equation, where &lt;i&gt;a&lt;/i&gt;,  &lt;i&gt;b&lt;/i&gt;, &lt;i&gt;c&lt;/i&gt; &lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/belongs_to.gif&quot; /&gt; R.  &lt;br /&gt;
Now, &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;x&lt;/i&gt;) = 3&lt;i&gt;x&lt;/i&gt;&lt;sup&gt;2&lt;/sup&gt; + 2&lt;i&gt;ax&lt;/i&gt; + &lt;i&gt;b&lt;/i&gt;&lt;/span&gt;  &lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
Let D = 4&lt;i&gt;a&lt;/i&gt;&lt;sup&gt;2&lt;/sup&gt; 12&lt;i&gt;b&lt;/i&gt; = 4(&lt;i&gt;a&lt;/i&gt;&lt;sup&gt;2&lt;/sup&gt; 3&lt;i&gt;b&lt;/i&gt;)  be the discriminant of the equation &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;x&lt;/i&gt;) = 0 &lt;br /&gt;
(i) If D &amp;lt; 0  &lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/double_arrow.gif&quot; /&gt;  &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;x&lt;/i&gt;) &amp;gt; 0 &lt;img align=&quot;bottom&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritOE21.GIF&quot; /&gt; &lt;i&gt;x&lt;/i&gt; &lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/belongs_to.gif&quot; /&gt; R. That  means &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) would be an increasing function of &lt;i&gt;x&lt;/i&gt;. Also &lt;img align=&quot;bottom&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritOE22.GIF&quot; /&gt;&lt;i&gt;f&lt;/i&gt;(&lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/infinity.gif&quot; /&gt;) = &lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/infinity.gif&quot; /&gt;, thus the  graph of &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) would look like, &lt;br /&gt;
&lt;img align=&quot;bottom&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritOE23.GIF&quot; /&gt;&lt;/span&gt; &lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
It is clear that graph of &lt;i&gt;y&lt;/i&gt; = &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) would  cut the x-axis only once. That means we would have just one real root, (say  &lt;i&gt;x&lt;/i&gt;&lt;sub&gt;0&lt;/sub&gt;). Clearly &lt;i&gt;x&lt;/i&gt;&lt;sub&gt;0&lt;/sub&gt; &amp;gt; 0 if &lt;i&gt;c&lt;/i&gt; &amp;gt; 0.  &lt;br /&gt;
(ii) If D &amp;gt; 0, &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;x&lt;/i&gt;) = 0 would have two real roots (say  &lt;i&gt;x&lt;/i&gt;&lt;sub&gt;1&lt;/sub&gt; and &lt;i&gt;x&lt;/i&gt;&lt;sub&gt;2&lt;/sub&gt;, let &lt;i&gt;x&lt;/i&gt;&lt;sub&gt;1&lt;/sub&gt; &amp;lt;  &lt;i&gt;x&lt;/i&gt;&lt;sub&gt;2&lt;/sub&gt;) &lt;br /&gt;
&lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/double_arrow.gif&quot; /&gt;  &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;x&lt;/i&gt;) = 3 (&lt;i&gt;x&lt;/i&gt; &lt;i&gt;x&lt;/i&gt;&lt;sub&gt;1&lt;/sub&gt;) (&lt;i&gt;x&lt;/i&gt;  &lt;i&gt;x&lt;/i&gt;&lt;sub&gt;2&lt;/sub&gt;) &lt;br /&gt;
Sign of &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;x&lt;/i&gt;) &lt;br /&gt;
&lt;img align=&quot;bottom&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritOE24.GIF&quot; /&gt;&lt;/span&gt; &lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
Clearly, &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;x&lt;/i&gt;) &amp;lt; 0, &lt;i&gt;x&lt;/i&gt; &lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/belongs_to.gif&quot; /&gt;  (&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;1&lt;/sub&gt;, &lt;i&gt;x&lt;/i&gt;&lt;sub&gt;2&lt;/sub&gt;) and &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;x&lt;/i&gt;) &amp;gt; 0,  &lt;i&gt;x&lt;/i&gt; &lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/belongs_to.gif&quot; /&gt; ( &lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/infinity.gif&quot; /&gt;,  &lt;i&gt;x&lt;/i&gt;&lt;sub&gt;1&lt;/sub&gt;) – (&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;2&lt;/sub&gt;, &lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/infinity.gif&quot; /&gt;) &lt;br /&gt;
That  means &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) would increase in ( &lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/infinity.gif&quot; /&gt;,  &lt;i&gt;x&lt;/i&gt;&lt;sub&gt;1&lt;/sub&gt;) and (&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;2&lt;/sub&gt;, &lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/infinity.gif&quot; /&gt;) and  would decrease in (&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;1&lt;/sub&gt;, &lt;i&gt;x&lt;/i&gt;&lt;sub&gt;2&lt;/sub&gt;). Hence &lt;i&gt;x&lt;/i&gt; =  &lt;i&gt;x&lt;/i&gt;&lt;sub&gt;1&lt;/sub&gt; would be a point of local maxima and &lt;i&gt;x&lt;/i&gt; =  &lt;i&gt;x&lt;/i&gt;&lt;sub&gt;2&lt;/sub&gt; would be a point of local minima.  &lt;br /&gt;
&lt;br /&gt;
Thus the graph of &lt;i&gt;y&lt;/i&gt; = &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) could have  these five possibilities: &lt;br /&gt;
(a) &lt;img align=&quot;absmiddle&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritOE25.GIF&quot; /&gt;&lt;/span&gt; &lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
(b) &lt;img align=&quot;absmiddle&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritOE26.GIF&quot; /&gt;&lt;/span&gt; &lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
(c) &lt;img align=&quot;absmiddle&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritOE27.GIF&quot; /&gt;&lt;/span&gt; &lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
(d) &lt;img align=&quot;absmiddle&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritOE28.GIF&quot; /&gt;&lt;/span&gt; &lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
(e) &lt;img align=&quot;absmiddle&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritOE29.GIF&quot; /&gt;&lt;/span&gt; &lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
&lt;br /&gt;
Clearly  in fig. (a) we have three real and distinct  roots. In figure (b) and  (c) we have just one real root and in figures (d) and  (e) we have 3  real roots but one of them would be repeated. &lt;br /&gt;
&lt;b&gt;.&lt;/b&gt; If  &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;1&lt;/sub&gt;) &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;2&lt;/sub&gt;) &amp;gt; 0,  &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) = 0 would have just one real root. &lt;br /&gt;
&lt;b&gt;.&lt;/b&gt; If  &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;1&lt;/sub&gt;) &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;2&lt;/sub&gt;) &amp;lt; 0,  &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) = 0 would have three real and distinct roots. &lt;br /&gt;
&lt;b&gt;.&lt;/b&gt; If  &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;1&lt;/sub&gt;) &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;2&lt;/sub&gt;) = 0,  &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) = 0 would have three real roots but one of the root would be  repeated. &lt;br /&gt;
(iii) If D = 0, &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;x&lt;/i&gt;) = 3 (&lt;i&gt;x&lt;/i&gt;  &lt;i&gt;x&lt;/i&gt;&lt;sub&gt;1&lt;/sub&gt;)&lt;sup&gt;2&lt;/sup&gt; where &lt;i&gt;x&lt;/i&gt;&lt;sub&gt;1&lt;/sub&gt; is the root of  &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;x&lt;/i&gt;) = 0 &lt;br /&gt;
&lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/double_arrow.gif&quot; /&gt;  &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) = (&lt;i&gt;x&lt;/i&gt; &lt;i&gt;x&lt;/i&gt;&lt;sub&gt;1&lt;/sub&gt;)&lt;sup&gt;3&lt;/sup&gt; + &lt;i&gt;k&lt;/i&gt;&lt;/span&gt;  &lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
Now if &lt;i&gt;k&lt;/i&gt; = 0, then &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) = 0 has three equal real roots  and if &lt;i&gt;k&lt;/i&gt;&lt;sup&gt;1&lt;/sup&gt; 0 then &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) = 0 has one real root.  &lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;Illustration&lt;/b&gt;: Find all possible values of the parameter  `&lt;i&gt;a&lt;/i&gt;&#39; so that &lt;i&gt;x&lt;/i&gt;&lt;sup&gt;3&lt;/sup&gt; 3&lt;i&gt;x&lt;/i&gt; + &lt;i&gt;a&lt;/i&gt; = 0 has three real  and distinct roots. &lt;br /&gt;
&lt;b&gt;Sol.&lt;/b&gt; Let &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) =  &lt;i&gt;x&lt;/i&gt;&lt;sup&gt;3&lt;/sup&gt; 3&lt;i&gt;x&lt;/i&gt; + &lt;i&gt;a&lt;/i&gt;&lt;/span&gt; &lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
&lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/double_arrow.gif&quot; /&gt;  &lt;i&gt;f&lt;/i&gt; &#39;(&lt;i&gt;x&lt;/i&gt;) = 3&lt;i&gt;x&lt;/i&gt;&lt;sup&gt;2&lt;/sup&gt; 3 &lt;br /&gt;
= 3(&lt;i&gt;x&lt;/i&gt; 1) (&lt;i&gt;x&lt;/i&gt; +  1) &lt;br /&gt;
Clearly &lt;i&gt;x&lt;/i&gt; = 1 is the point of maxima and &lt;i&gt;x&lt;/i&gt; = 1 is the point  of minima. &lt;br /&gt;
Now, &lt;i&gt;f&lt;/i&gt;(1) = &lt;i&gt;a&lt;/i&gt; 2, &lt;i&gt;f&lt;/i&gt;( 1) = &lt;i&gt;a&lt;/i&gt; + 2  &lt;br /&gt;
&lt;br /&gt;
The roots of &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) = 0 would be real and  distinct if &lt;br /&gt;
&lt;i&gt;f&lt;/i&gt;(1) &lt;i&gt;f&lt;/i&gt;( 1) &amp;lt; 0 &lt;br /&gt;
&lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/double_arrow.gif&quot; /&gt;  (&lt;i&gt;a&lt;/i&gt; 2) (&lt;i&gt;a&lt;/i&gt; + 2) &amp;lt; 0 &lt;br /&gt;
&lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/double_arrow.gif&quot; /&gt; 2  &amp;lt; &lt;i&gt;a&lt;/i&gt; &amp;lt; 2 &lt;br /&gt;
&lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/double_arrow.gif&quot; /&gt; Thus  given equation would have real and distinct roots if &lt;i&gt;a&lt;/i&gt; &lt;img alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/belongs_to.gif&quot; /&gt; ( 2, 2)  &lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;Tangent &amp;amp; Normals &lt;br /&gt;
Let y = f(x) be a continous function  defined over an interval I&lt;/b&gt;&lt;/span&gt; &lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
1. The slope of the tangent to the curve y =  f(x) at the point &lt;img align=&quot;absmiddle&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritOE30.GIF&quot; /&gt;is &lt;img align=&quot;absmiddle&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritOE31.GIF&quot; /&gt;and is denoted by m &lt;br /&gt;
2. The slope of the tangent to the curve  at a point is called the gradient to the curve at that point. &lt;br /&gt;
3. Equation of  the tangent to the curve y = f(x) at &lt;img align=&quot;absmiddle&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritOE32.GIF&quot; /&gt; is y - y&lt;sub&gt;1&lt;/sub&gt; = m (x - x&lt;sub&gt;1&lt;/sub&gt;) &lt;br /&gt;
4. If m = 0  then the tangent at that point is parallel to x -axis. &lt;br /&gt;
5. If m is not  defined then the tangent is perpendicular to x-axis &lt;br /&gt;
6.  A line which is  perpendicular to the tangent of the curve at P and  passes through P is called  the normal to the curve at P. &lt;br /&gt;
7. Equation of the normal to the curve y =  f(x) at &lt;img align=&quot;absmiddle&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritOE33.GIF&quot; /&gt; is x - x&lt;sub&gt;1&lt;/sub&gt;= -m( y - y&lt;sub&gt;1&lt;/sub&gt;) &lt;br /&gt;
&lt;b&gt;&amp;nbsp;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;&amp;nbsp;Angle of intersection of two plane curves: &lt;/b&gt;&lt;br /&gt;
1. The angle between two  curves is defined as the angle between the two tangents at their common point of  intersection. &lt;br /&gt;
2. Let y = f&lt;sub&gt;1&lt;/sub&gt;(x) and y = f&lt;sub&gt;2&lt;/sub&gt;(x) be two  plane curves intersect at P(x&lt;sub&gt;1&lt;/sub&gt; , y&lt;sub&gt;1&lt;/sub&gt;). If m&lt;sub&gt;1&lt;/sub&gt; =  &lt;img align=&quot;bottom&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritOE34.GIF&quot; /&gt; and m&lt;sub&gt;2&lt;/sub&gt; = &lt;img align=&quot;bottom&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritOE35.GIF&quot; /&gt;are the slopes of the tangents at P and &lt;img align=&quot;bottom&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritOE36.GIF&quot; /&gt;be the acute angle between them then tan&lt;img align=&quot;middle&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritOE37.GIF&quot; /&gt; &lt;img align=&quot;absmiddle&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritOE38.GIF&quot; /&gt;&lt;/span&gt; &lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
3. If m&lt;sub&gt;1&lt;/sub&gt;m&lt;sub&gt;2&lt;/sub&gt; = -1 then the two curves  intersect orthogonally at P. &lt;br /&gt;
4. If m&lt;sub&gt;1&lt;/sub&gt; = m&lt;sub&gt;2&lt;/sub&gt; then the  two curves touch each other at P. &lt;br /&gt;
&lt;b&gt;Lengths of the tangent,  normal, sub tangent and subnormal&lt;/b&gt;&lt;/span&gt; &lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
1. Let the tangent at P to the curve  meet x -a xis in T and the normal meet OX in N. Let PQ is drawn perpendicular to  OX ; &lt;br /&gt;
&lt;img align=&quot;bottom&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritOE39.GIF&quot; /&gt;&lt;/span&gt; &lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
&lt;br /&gt;
then &lt;br /&gt;
(i) PT is called the length of the  tangent at P. &lt;br /&gt;
(ii) PN is called the length of the normal at P. &lt;br /&gt;
(iii) QT,  the projection of PT on OX is called sub tangent. &lt;br /&gt;
(iv) QN, the projection of  PN on OX is called sub normal. &lt;br /&gt;
2. Let &lt;img align=&quot;bottom&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritOE40.GIF&quot; /&gt; be a point on the curve y = f(x) and &lt;img align=&quot;bottom&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritOE41.GIF&quot; /&gt;. Then &lt;br /&gt;
(i) Length of the tangent at P = &lt;img align=&quot;absmiddle&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritOE42.GIF&quot; /&gt;&lt;/span&gt; &lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
(ii) Length of the normal at P = &lt;img align=&quot;absmiddle&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritOE43.GIF&quot; /&gt;&lt;/span&gt; &lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
(iii) Length of the sub tangent at P = &lt;img align=&quot;absmiddle&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritOE44.GIF&quot; /&gt;&lt;/span&gt; &lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
(iv) Length of the sub normal at P = &lt;img align=&quot;absmiddle&quot; alt=&quot;&quot; src=&quot;http://testonline.in/templates/default/images/tests_cloaked/GOIIT/ch0033/VritOE45.GIF&quot; /&gt;&lt;/span&gt;&lt;/div&gt;</description><link>http://scraexam.blogspot.com/2011/11/application-of-derivatives.html</link><author>noreply@blogger.com (Unknown)</author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiB8rENeMyimNwk9DqFn3keC6X0E8Lb1-yhg9scUsPI_yHIq-QiBBi83nHKph89B0oZCYY772d1sq6XXWPDTJ-Oc94kL-aG_oENpyabJdpunh97ZnhuaDS-WIX4n-ad_bpgXxAS7cMig0EC/s72-c/Applications_of_Derivatives.gif" height="72" width="72"/><thr:total>0</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6231931743906059601.post-553213664564616287</guid><pubDate>Tue, 08 Nov 2011 19:10:00 +0000</pubDate><atom:updated>2011-11-08T11:54:05.334-08:00</atom:updated><title>How to fill SCRA 2012 online application Form</title><description>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;div style=&quot;color: purple; font-family: Times,&amp;quot;Times New Roman&amp;quot;,serif;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-size: large;&quot;&gt;Q1.Why Application Rejected ,??&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;&lt;div style=&quot;color: purple; font-family: Times,&amp;quot;Times New Roman&amp;quot;,serif;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-size: large;&quot;&gt;due the following reasons.&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;&lt;div style=&quot;color: #0b5394;&quot;&gt;&lt;i&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Ebrima;&quot;&gt;1.bad quality of submitted photograph&lt;/span&gt;&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div style=&quot;color: #0b5394;&quot;&gt;&lt;i&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Ebrima;&quot;&gt;2.bad quality of submitted signature&lt;/span&gt;&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div style=&quot;color: #0b5394;&quot;&gt;&lt;i&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Ebrima;&quot;&gt;3.swapping of photograph with that of signature&lt;/span&gt;&lt;span style=&quot;font-family: Ebrima;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div style=&quot;color: #0b5394;&quot;&gt;&lt;i&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Ebrima;&quot;&gt;4.Application rejected due to submission of photograph only, i.e no signature submitted or photograph submitted at the place of signature as well.&lt;/span&gt;&lt;span style=&quot;font-family: Ebrima;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-family: Ebrima;&quot;&gt; &lt;/span&gt;&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div style=&quot;color: #0b5394;&quot;&gt;&lt;i&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Ebrima;&quot;&gt;&amp;nbsp;5.&lt;/span&gt;&lt;span style=&quot;font-family: Ebrima;&quot;&gt;Application rejected due to submission of signature only, i.e no photograph submitted or signature submitted at the place of photograph as well.&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;i style=&quot;color: #0b5394;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Ebrima;&quot;&gt;6.&lt;/span&gt;&lt;span style=&quot;font-family: Ebrima;&quot;&gt;Only PART-I of the application is submitted to the Commission and thus their application is incomplete because of non-submission of PART-II.&lt;/span&gt;&lt;/span&gt;&lt;/i&gt;&lt;br /&gt;
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&lt;div style=&quot;color: #741b47;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;&lt;i&gt;&lt;b&gt;&lt;br /&gt;
&lt;/b&gt;&lt;/i&gt;&lt;/span&gt;&lt;/div&gt;&lt;span style=&quot;color: #741b47; font-size: large;&quot;&gt;&lt;i&gt;&lt;b&gt;पूरी तरह से सही application  फॉर्म&amp;nbsp; कैसे fill&amp;nbsp; करे कृपया इस लिंक&amp;nbsp; link को देखे&lt;/b&gt;&lt;/i&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: #741b47; font-size: large;&quot;&gt;&lt;i&gt;&lt;b&gt;&amp;nbsp; &lt;/b&gt;&lt;/i&gt;&lt;/span&gt;&lt;i&gt;&lt;span style=&quot;font-size: large;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: Ebrima;&quot;&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;/i&gt;&lt;i&gt;&lt;span style=&quot;font-size: large;&quot;&gt;&lt;b&gt;&lt;a href=&quot;http://upsconline.nic.in/SCRA-2012/application%20complete%20in%20all%20respects%20of%20a%20general%20candidate.pdf&quot;&gt;please click here&lt;/a&gt;&lt;/b&gt;&lt;/span&gt;&lt;/i&gt; &lt;br /&gt;
&lt;div style=&quot;color: #741b47;&quot;&gt;&lt;i&gt;&lt;span style=&quot;font-size: large;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: Ebrima;&quot;&gt;one sample application form, complete in all respects has been provided here, &amp;nbsp;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;/i&gt;&lt;br /&gt;
&lt;i&gt;&lt;span style=&quot;font-size: large;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: Ebrima;&quot;&gt;&lt;a href=&quot;http://upsconline.nic.in/SCRA-2012/application%20complete%20in%20all%20respects%20of%20a%20general%20candidate.pdf&quot;&gt;please click here to download&lt;/a&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div style=&quot;color: #741b47;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div style=&quot;color: #741b47;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div style=&quot;color: #741b47; text-align: center;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: Ebrima;&quot;&gt;How to fill scra 2012 online appliaction???&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;color: #0b5394; font-family: Times,&amp;quot;Times New Roman&amp;quot;,serif; text-align: center;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;&lt;i&gt;&lt;b&gt;1.&lt;/b&gt;go to &lt;a href=&quot;http://www.upsconline.nic.in/&quot;&gt;http://www.upsconline.nic.in/&lt;/a&gt;&lt;/i&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;color: #0b5394; font-family: Times,&amp;quot;Times New Roman&amp;quot;,serif; margin-left: 0.5in; text-align: center; text-indent: -31.5pt;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;&lt;i&gt;2.Click an Online application for various examinations of UPSC&amp;nbsp;&amp;nbsp;&lt;/i&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;color: #0b5394; font-family: Times,&amp;quot;Times New Roman&amp;quot;,serif; margin-left: 0.5in; text-align: center; text-indent: -31.5pt;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;&lt;i&gt;3.Clicking on PART-I Registration against a Exam link would take you to fill your data related to PART-I of your application for that Exam.&lt;/i&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;color: #0b5394; font-family: Times,&amp;quot;Times New Roman&amp;quot;,serif; margin-left: 0.5in; text-align: center; text-indent: -31.5pt;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;color: #0b5394; font-family: Times,&amp;quot;Times New Roman&amp;quot;,serif; margin-left: 0.5in; text-align: center; text-indent: -31.5pt;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;&lt;i&gt;&amp;nbsp;4. Clicking on PART-II Registration would take you to the second part of the online application &lt;/i&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;text-align: center;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;&lt;b style=&quot;color: red;&quot;&gt;&lt;span style=&quot;font-family: Ebrima;&quot;&gt;&amp;nbsp;Fill all above- 2 registration&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;&lt;span style=&quot;font-size: large;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: large;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;br /&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;&lt;span style=&quot;color: red; font-family: Ebrima; font-size: large;&quot;&gt;note that Female, Physically Handicapped, SC and ST,  candidates are not required to pay fee. When the candidates choose ST or SC in Community field OR Female in Gender  field OR YES in Physically Challenged  field ; YES response is indicated in the fee remission claimed  field by default which they are not required to change. These candidates will not be taken through  the fee payment details page where the candidates are supposed to fill in the Payment Details while  filling up Part-II of the Online Application.&lt;/span&gt;&lt;span style=&quot;color: red; font-size: large;&quot;&gt;&lt;span style=&quot;font-family: Ebrima;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;text-align: center;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;text-align: center;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;text-align: center;&quot;&gt;&lt;span style=&quot;color: red; font-family: Ebrima; font-size: large;&quot;&gt;The candidates are advised to check the filled in details and satisfy themselves that all information is correctly filled up. No change in information filled in by the candidates would be allowed at any subsequent stage of the examination process.&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;text-align: center;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin-left: 0.5in; text-align: center; text-indent: -31.5pt;&quot;&gt;&lt;span style=&quot;color: red; font-family: Ebrima; font-size: large;&quot;&gt;CANDIDATES ARE ADVISED TO TAKE A PRINT OF THIS PAGE BY CLICKING ON THE Print OPTION , THEY WILL BE REQUIRED TO INPUT THEIR REGISTRATION ID and DOB at subsequent stages.&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin-left: 0.5in; text-align: center; text-indent: -31.5pt;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin-left: 0.5in; text-align: center; text-indent: -31.5pt;&quot;&gt;&lt;span style=&quot;color: black; font-family: Ebrima; font-size: large;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;span style=&quot;color: red; font-family: Ebrima; font-size: large;&quot;&gt;CANDIDATES OPTING TO DEPOSIT FEE IN CASH ARE ADVISED TO TAKE PRINT OF PAY-IN SLIP BY USING THE OPTION &lt;/span&gt;&lt;span style=&quot;color: #c00000; font-family: Ebrima; font-size: large;&quot;&gt;Print Bank Pay-in-Slip.&lt;/span&gt;&lt;span style=&quot;color: red; font-family: Ebrima; font-size: large;&quot;&gt; Using this pay-in slip, they can deposit the fee in cash at any branch of STATE BANK OF INDIA. The Bank will not accept any other pay-in slip or challan than the one printed through the Print Bank Pay-in-Slip OPTION of this Online Application. After receipt of cash, the Bank would stamp the pay-in-slip and also provide a &lt;/span&gt;&lt;span style=&quot;color: #c00000; font-family: Ebrima; font-size: large;&quot;&gt;TRANSACTION ID&lt;/span&gt;&lt;span style=&quot;color: red; font-family: Ebrima; font-size: large;&quot;&gt;. The candidate would have to log in again and proceed with PART-II Registration process.&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin-left: 0.5in; text-align: center; text-indent: -31.5pt;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;text-align: center;&quot;&gt;&lt;span style=&quot;color: black; font-family: Ebrima; font-size: large;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: black; font-family: Ebrima; font-size: large;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;color: red; font-family: Ebrima; font-size: large;&quot;&gt;FEE EXEMPTED CATEGORY CANDIDATES;&lt;/span&gt;&lt;span style=&quot;color: black; font-family: Ebrima; font-size: large;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;color: red; font-size: large;&quot;&gt;&lt;span style=&quot;color: red; font-family: Ebrima;&quot;&gt;CANDIDATES OPTING TO DEPOSIT FEE THROUGH CREDIT/DEBIT CARD OR BY USING INTERNET BANKING FACILITY OF STATE BANK OF INDIA CAN STRAIGHTAWAY PROCEED TO COMPLETE PART-II REGISTRATION&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;color: #0b5394; margin-left: 0.5in; text-align: left; text-indent: 0.5in;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;color: #0b5394; margin-left: 0.5in; text-align: left; text-indent: 0.5in;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;&lt;span style=&quot;font-family: Ebrima;&quot;&gt;*&lt;/span&gt;&lt;span style=&quot;font-family: Ebrima;&quot;&gt; RID is Registration ID, which is generated by the system when the application completes PART-I registration of his application.&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;color: #0b5394; margin-left: 0.5in; text-align: left; text-indent: 0.5in;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;&lt;span style=&quot;font-family: Ebrima;&quot;&gt;**&lt;/span&gt;&lt;span style=&quot;font-family: Ebrima;&quot;&gt; TID is Transaction ID, which is given by Bank official when the applications deposits his/her fee through &lt;/span&gt;&lt;span style=&quot;font-family: Ebrima;&quot;&gt;cash mode and it is automatically generated when Internet Banking or credit/debit card mode is used for making the fee payment.&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;color: #0b5394; margin-left: 0.5in; text-align: left; text-indent: 0.5in;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;&lt;span style=&quot;font-family: Ebrima;&quot;&gt;***&lt;/span&gt;&lt;span style=&quot;font-family: Ebrima;&quot;&gt;Fictitious payment cases are those cases for which the Commission does not receive any information from the bank authorities to which the applicant has claimed to have deposited his/her fees.&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;color: #0b5394; margin-left: 0.5in; text-align: left; text-indent: 0.5in;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;&lt;span style=&quot;color: red; font-family: Ebrima;&quot;&gt;Applicants are requested to note that before filling the online application they may have a careful look on the common reasons where an applicants online application is rejected by the Commission. Applicants are therefore advised to be careful enough so that chances of their applications being rejected by the Commission are minimized to the best possible extent and their effort is not lost due to the reasons which can be avoided by them if they remain slightly more careful while submitting their application to the Commission.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;color: #0b5394; margin-left: 0.5in; text-align: left; text-indent: 0.5in;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;color: #0b5394; margin-left: 0.5in; text-align: left; text-indent: 0.5in;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;color: #0b5394; margin-left: 0.5in; text-align: left; text-indent: 0.5in;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;Appliacants कृपया ऑनलाइन फॉर्म भरने से पहले terms पढ़ ले &lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: large;&quot;&gt;धयान से सब कुछ देखे जिस वजह से upsc  द्वारा appliaction  reject कर दी जाती है &lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: large;&quot;&gt;For  complete and full  Information&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;color: #0b5394; margin-left: 0.5in; text-align: left; text-indent: 0.5in;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;view  &lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: large;&quot;&gt;&lt;a href=&quot;http://upsconline.nic.in/SCRA-2012/SCRA-2012.htm&quot;&gt;http://upsconline.nic.in/SCRA-2012/SCRA-2012.htm&lt;/a&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: large;&quot;&gt;कृपया upsc  website  prefer  करे &lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: large;&quot;&gt;&lt;a href=&quot;http://upsconline.nic.in/SCRA-2012/SCRA-2012.htm&quot;&gt;http://upsconline.nic.in/SCRA-2012/SCRA-2012.htm&lt;/a&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&amp;nbsp; &lt;/span&gt;&lt;i&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Ebrima;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div style=&quot;text-align: left;&quot;&gt;&lt;b style=&quot;color: red;&quot;&gt;&lt;i style=&quot;color: purple;&quot;&gt;&lt;span style=&quot;font-family: Ebrima;&quot;&gt;Courtsey-upsconline &lt;/span&gt;&lt;/i&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Ebrima;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;i&gt;&lt;span style=&quot;color: green; font-family: Ebrima; font-size: 14pt;&quot;&gt; &lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;/div&gt;</description><link>http://scraexam.blogspot.com/2011/11/how-to-fill-scra-2012-online.html</link><author>noreply@blogger.com (Unknown)</author><thr:total>0</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6231931743906059601.post-7367762890617349691</guid><pubDate>Thu, 03 Nov 2011 17:03:00 +0000</pubDate><atom:updated>2011-11-03T10:03:36.954-07:00</atom:updated><title>Work Power Energy | SCRA</title><description>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; color: orange; text-align: left;&quot;&gt;&lt;i&gt;&lt;b&gt;Q1.&lt;/b&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; color: orange; text-align: left;&quot;&gt;&lt;i&gt;&lt;b&gt;&amp;nbsp;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhfDpZtx_PWgQJHDYAldPRdFHhhY3JevzfNDWA20NvmQoYmRNoXPdcCVOOY9qWxmpdZiaRl_o9ZKyH8SLDn-DWhyyrvv89RrajK9zQK64jj1bwdcG7QKrZADKCUGuPGxPy3_KdBZCvsQWhz/s1600/2.JPG&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/AVvXsEhfDpZtx_PWgQJHDYAldPRdFHhhY3JevzfNDWA20NvmQoYmRNoXPdcCVOOY9qWxmpdZiaRl_o9ZKyH8SLDn-DWhyyrvv89RrajK9zQK64jj1bwdcG7QKrZADKCUGuPGxPy3_KdBZCvsQWhz/s1600/2.JPG&quot; style=&quot;cursor: move;&quot; /&gt;&lt;/a&gt;&lt;/b&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; color: orange; text-align: left;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; color: orange; text-align: left;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; color: orange; text-align: left;&quot;&gt;&lt;i&gt;&lt;b&gt;Q2.&lt;/b&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; color: orange; text-align: left;&quot;&gt;&lt;i&gt;&lt;b&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgy7ekhx0lOtozdcw3aZYPm2jCyb_LrezuEWXAtGRYYo5qUxvszP78n7u2WF1FFH77Xq-1wIyvjZkdc7OrxxykT6Iyr9b4L82stO5foE-KiFxEOEIWpVM-yQoWQRTaZw-n-A3jKr-eJd3RD/s1600/3.JPG&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/AVvXsEgy7ekhx0lOtozdcw3aZYPm2jCyb_LrezuEWXAtGRYYo5qUxvszP78n7u2WF1FFH77Xq-1wIyvjZkdc7OrxxykT6Iyr9b4L82stO5foE-KiFxEOEIWpVM-yQoWQRTaZw-n-A3jKr-eJd3RD/s1600/3.JPG&quot; /&gt;&lt;/a&gt;&lt;/b&gt;&lt;/i&gt;&lt;/div&gt;&lt;div style=&quot;color: orange; text-align: left;&quot;&gt;&lt;i&gt;&lt;b&gt;&amp;nbsp;Q3.&lt;/b&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; color: orange; text-align: left;&quot;&gt;&lt;i&gt;&lt;b&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEglhR8t8H-j0jsokjY-nQjEgvwSTce5Y8zz6qjW3Y_SsGRxbjydSwELoUfHPjUX5m5G7vwBiGVRAKXu9R45qc3Uxkg_0Z3m9y1IuIbNE-jz3GaBNesesq28zYw9hpOiyVzS7ElGonO1bZsT/s1600/4.JPG&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/AVvXsEglhR8t8H-j0jsokjY-nQjEgvwSTce5Y8zz6qjW3Y_SsGRxbjydSwELoUfHPjUX5m5G7vwBiGVRAKXu9R45qc3Uxkg_0Z3m9y1IuIbNE-jz3GaBNesesq28zYw9hpOiyVzS7ElGonO1bZsT/s1600/4.JPG&quot; /&gt;&lt;/a&gt;&lt;/b&gt;&lt;/i&gt;&lt;/div&gt;&lt;div style=&quot;color: orange; text-align: left;&quot;&gt;&lt;i&gt;&lt;b&gt;Q 4.&lt;/b&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: left;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEggU5wtSwwolDPNwXAIlsKQgMQ_f3GkFZCGyUFP3BpdQulYaNRbWWv7b1Dvvk4tTkYGG8IHSwHajR-ORbGjwZASWKgfrA5LUhb2LrKXGEAyK0ssregK_cgGb9XpYpxq5IyXNqqmSXDNMjIJ/s1600/scra+work+1.JPG&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/AVvXsEggU5wtSwwolDPNwXAIlsKQgMQ_f3GkFZCGyUFP3BpdQulYaNRbWWv7b1Dvvk4tTkYGG8IHSwHajR-ORbGjwZASWKgfrA5LUhb2LrKXGEAyK0ssregK_cgGb9XpYpxq5IyXNqqmSXDNMjIJ/s1600/scra+work+1.JPG&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;
&lt;/div&gt;</description><link>http://scraexam.blogspot.com/2011/11/work-power-energy-scra.html</link><author>noreply@blogger.com (Unknown)</author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhfDpZtx_PWgQJHDYAldPRdFHhhY3JevzfNDWA20NvmQoYmRNoXPdcCVOOY9qWxmpdZiaRl_o9ZKyH8SLDn-DWhyyrvv89RrajK9zQK64jj1bwdcG7QKrZADKCUGuPGxPy3_KdBZCvsQWhz/s72-c/2.JPG" height="72" width="72"/><thr:total>1</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6231931743906059601.post-3028606725138331160</guid><pubDate>Sat, 15 Oct 2011 14:20:00 +0000</pubDate><atom:updated>2011-10-15T07:20:55.116-07:00</atom:updated><title>SCRA 2010 Marksheet</title><description>&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-family: Arial; font-size: medium;&quot;&gt;&lt;span style=&quot;color: red;&quot;&gt;1.Not Qualified in Written&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-family: Arial; font-size: medium;&quot;&gt;&lt;span style=&quot;color: red;&quot;&gt;&lt;a href=&quot;http://upsc.gov.in/Query/scra/scra_wf_marks_query.htm&quot;&gt;click here&lt;/a&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-family: Arial; font-size: medium;&quot;&gt;&lt;span style=&quot;color: red;&quot;&gt;2. &lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;b&gt;&lt;span style=&quot;font-family: Arial; font-size: medium;&quot;&gt;&lt;span style=&quot;color: red;&quot;&gt;Final Marks Query&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-family: Arial; font-size: medium;&quot;&gt;&lt;span style=&quot;color: red;&quot;&gt;&lt;a href=&quot;http://upsc.gov.in/Query/scra/scra_wq_marks_query.htm&quot;&gt;click here &lt;/a&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;</description><link>http://scraexam.blogspot.com/2011/10/scra-2010-marksheet.html</link><author>noreply@blogger.com (Unknown)</author><thr:total>1</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6231931743906059601.post-2884935988518387077</guid><pubDate>Fri, 14 Oct 2011 11:08:00 +0000</pubDate><atom:updated>2011-10-14T04:08:12.049-07:00</atom:updated><title>About Special class Railway apprentice Exam</title><description>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;The Government of India may at their discretion alter or modify the periods and&lt;br /&gt;
courses of training.&lt;br /&gt;
2. The practical and theoretical training referred to above will be given in a Railway&lt;br /&gt;
Workshop for four years of their apprenticeship. Special Class Railway Apprentice&lt;br /&gt;
must pass within this period the Bachelor of Engineering in Mechanical Engineering&lt;br /&gt;
from from Birla Institute of Technology, Mesra (Ranchi). The apprentices will be granted&lt;br /&gt;
a stipend of Rs. 9100/- per month during the 1st and 2nd years and Rs. 9400/- per&lt;br /&gt;
month during the 3rd year and first six months of 4th year and Rs 9700 for last six&lt;br /&gt;
months of 4th year. During the apprenticeship, the candidates will be required to&lt;br /&gt;
undergo both theoretical and practical training. There will be in all Eight Semester&lt;br /&gt;
Examinations passing each of which is compulsory. If unsuccessful at any of these&lt;br /&gt;
examination, they will be depending on their performance, be asked to sit for and pass&lt;br /&gt;
in supplementary examination or reverted to the next lower batch or removed from&lt;br /&gt;
apprenticeship.&lt;br /&gt;
Note : Except as provided for in paragraph 4 below or in cases of discharge or dismissal&lt;br /&gt;
due to insubordination, intemperance or other misconduct or breach of agreement a&lt;br /&gt;
week’s notice of discharge from apprenticeship will be given.&lt;br /&gt;
3. After the completion of 4th year of training referred to in paragraph 2 above, the&lt;br /&gt;
apprentices will be listed in order of merit on the results of the examination held and the&lt;br /&gt;
reports of the apprentices received during the period of apprenticeship. Successful&lt;br /&gt;
apprentices will be appointed on probation for 18 months in the Indian Railway Service&lt;br /&gt;
of Mechanical Engineers.&lt;br /&gt;
Note : An apprentice will be considered to have obtained the qualifying standard if he/&lt;br /&gt;
she obtains a minimum of 40 per cent marks in the aggregate in all the examinations&lt;br /&gt;
held during the Eight Semester Examination of his/her training and 60 percent marks&lt;br /&gt;
in the reports of the Director Indian Railways Institute of Mechanical and Electrical&lt;br /&gt;
Engineers, Jamalpur and of the Chief Works Manager, Jamalpur Workshop provided&lt;br /&gt;
that in each of the Eight Semester Examination he/she has obtained a minimum of 40&lt;br /&gt;
percent marks in the aggregate and minimum of 40 percent marks in all the subjects.&lt;br /&gt;
4. Unsuccessful apprentices will be discharged from their apprenticeship, one month’s&lt;br /&gt;
notice of discharge being given along with the intimation that the apprentice has been&lt;br /&gt;
unsuccessful.&lt;br /&gt;
5. After successful completion of 4 years apprenticeship, the apprentices will be&lt;br /&gt;
appointed as probationers in the Indian Railway Service of Mechanical Engineers&lt;br /&gt;
subject to the proviso given below in Para 6. Particulars as to pay and general conditions&lt;br /&gt;
of service of officers of Indian Railway Service of Mechanical Engineers have been&lt;br /&gt;
given in Appendix-IV of the Rules published in Gazette of India.&lt;br /&gt;
6. The period of probation will be 18 months. The appointment and pay as probationers&lt;br /&gt;
will commence from (a) the date of completion of 4 years of the apprenticeship or (b)&lt;br /&gt;
the actual date of completion of training whichever is later :&lt;br /&gt;
Provided however, that those Special Class Apprentices who could not pass Bachelor&lt;br /&gt;
of Engineering from Birla Institute of Technology, Mesra (Ranchi) within 4 years of their&lt;br /&gt;
apprenticeship will be deemed to have been appointed as probationers only from the&lt;br /&gt;
date when they pass in full in all the Eight Semester.&lt;br /&gt;
Note : (i) The retention in service of probationers and their grant of annual increments&lt;br /&gt;
are subject to satisfactory reports on their work being received at the end of each year&lt;br /&gt;
of probation.&lt;br /&gt;
(ii) The services of probationer may be terminated on three months notice on either&lt;br /&gt;
side.&lt;br /&gt;
&lt;i style=&quot;color: red;&quot;&gt;Courtsey-upsc &lt;/i&gt;&lt;/div&gt;</description><link>http://scraexam.blogspot.com/2011/10/about-special-class-railway-apprentice.html</link><author>noreply@blogger.com (Unknown)</author><thr:total>0</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6231931743906059601.post-1117251092953512172</guid><pubDate>Fri, 14 Oct 2011 11:02:00 +0000</pubDate><atom:updated>2011-10-14T04:02:28.476-07:00</atom:updated><title>SCRA Age Relaxation Code</title><description>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;i style=&quot;color: orange;&quot;&gt;Age Relaxation Code-2011&lt;/i&gt;&lt;br /&gt;
If claiming age relaxation, choose the appropriate category code from the table given&lt;br /&gt;
below and darken the appropriate circles applicable in your case.&lt;i style=&quot;color: red;&quot;&gt;Code&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Category&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Extent of Age&lt;br /&gt;
&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; No. Relaxation&lt;br /&gt;
&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Permissible&lt;/i&gt;&lt;br /&gt;
01 SC and ST 5 years&lt;br /&gt;
02 OBC 3 years&lt;br /&gt;
03 Blind, deaf-mute and Orthopaedically Handicapped persons. 10 years&lt;br /&gt;
04 Blind, deaf-mute and Orthopaedically Handicapped&lt;br /&gt;
persons+ SC/ST 15 years&lt;br /&gt;
05 Blind, deaf-mute and Orthopaedically Handicapped&lt;br /&gt;
persons+ OBC 13 years&lt;br /&gt;
06 Defence Services Personnel disabled in operations during 3 years&lt;br /&gt;
hostilities with any foreign country or in a disturbed area&lt;br /&gt;
and released as a consequence thereof.&lt;br /&gt;
07 Defence Services Personnel 8 years&lt;br /&gt;
(as against Code No. 06) + SC/ST&lt;br /&gt;
08 Defence Services Personnel 6 years&lt;br /&gt;
(as against Code No. 06) + OBC&lt;br /&gt;
09 Ex-Servicemen including Commissioned Officers and 5 years&lt;br /&gt;
ECOs/ SSCOs who have rendered at least five years&lt;br /&gt;
Military Service as on 1st August, 2011 and have&lt;br /&gt;
been released (i) on completion of assignment&lt;br /&gt;
(including those whose assignment is due to be&lt;br /&gt;
completed within one year from 1st August, 2011)&lt;br /&gt;
otherwise than by way of dismissal or discharge on&lt;br /&gt;
account of misconduct or inefficiency; or (ii) on account&lt;br /&gt;
of physical disability attributable to Military Service; or&lt;br /&gt;
(iii) on invalidment.&lt;br /&gt;
10 Ex-Servicemen including Commissioned Officers and 10 years&lt;br /&gt;
ECOs/SSCOs(as against Code No. 09) + SC/ST&lt;br /&gt;
11 Ex-Servicemen including Commissioned Officers and 8 years&lt;br /&gt;
ECOs/SSCOs(as against Code No. 09) + OBC&lt;br /&gt;
12 ECOs/SSCOs who have completed an initial period of 5 years&lt;br /&gt;
assignment of five years of Military Service as on&lt;br /&gt;
1st August, 2011 and whose assignment has been extended&lt;br /&gt;
beyond five years and in whose case the Ministry of Defence&lt;br /&gt;
issues a certificate that they can apply for civil employment&lt;br /&gt;
and that they will be released on three months notice on&lt;br /&gt;
selection from the date of receipt of offer of appointment.&lt;br /&gt;
13 ECOs/SSCOs (as against Code No. 12) + SC/ST 10 years&lt;br /&gt;
14 ECOs/SSCOs (as against Code No. 12) + OBC 8 years&lt;br /&gt;
15 Candidates who had ordinarily been domiciled in the State 5 years&lt;br /&gt;
of Jammu &amp;amp; Kashmir during the period from&lt;br /&gt;
1st January, 1980 to 31st December, 1989.&lt;br /&gt;
16 Candidates who had ordinarily been domiciled in the State 10 years&lt;br /&gt;
of J &amp;amp; K (as against Code No. 15) + SC/ST&lt;br /&gt;
17 Candidates who had ordinarily been domiciled in the State 8 years&lt;br /&gt;
of J &amp;amp; K (as against Code No. 15) + OBC&lt;br /&gt;
&lt;br /&gt;
&lt;i style=&quot;color: orange;&quot;&gt;note-above code is only for scra 2011&lt;/i&gt;&lt;/div&gt;</description><link>http://scraexam.blogspot.com/2011/10/scra-age-relaxation-code.html</link><author>noreply@blogger.com (Unknown)</author><thr:total>2</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6231931743906059601.post-3745068745221607067</guid><pubDate>Fri, 14 Oct 2011 10:57:00 +0000</pubDate><atom:updated>2011-10-14T03:57:32.721-07:00</atom:updated><title>About SCRA</title><description>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;The &lt;strong&gt;Special Class Railway Apprentice (SCRA)&lt;/strong&gt; scheme was  started in 1927 by the British, to select a handful of most intelligent  Indians to assist them in their Railway Operations, after training at  their Railway&#39;s largest workshop, i.e. Jamalpur Workshop, and for one  year in United Kingdom. The selected candidates were required to appear  in the Mechanical Engineering Degree Exmination held by Engineering  Council (London).&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Since then, the few &lt;strong&gt;SCRA admission seats&lt;/strong&gt;  for one of the country&#39;s first engineering college have always been  hotly contested, with as many as 1 to 1.5 lakh candidates taking the  entrance examination, now Special Class Railway Apprentice (SCRA)  conducted by &lt;strong&gt;Union Public Service Commission&lt;/strong&gt; (&lt;strong&gt;UPSC) &lt;/strong&gt;board, for about 10 seats.That translates into an astonishing ratio of 1 selection per 10,000 applicants . The &lt;strong&gt;SCRA entrance&lt;/strong&gt;  scheme has continued to draw the country&#39;s best talent after  independence and has provided Indian Railways with its top-ranking  officers in all walks. Many of the Institute&#39;s alumni have won  international accolade for having acheived excellence in their chosen  careers, which include inventors, academicians, entrepreneurs, and  high-ranking officers in other nations.&lt;br /&gt;
&lt;i style=&quot;color: orange;&quot;&gt;Courtsey&amp;nbsp; -goiit&lt;/i&gt;&lt;/div&gt;</description><link>http://scraexam.blogspot.com/2011/10/about-scra.html</link><author>noreply@blogger.com (Unknown)</author><thr:total>0</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6231931743906059601.post-7135642706217910040</guid><pubDate>Fri, 14 Oct 2011 10:55:00 +0000</pubDate><atom:updated>2011-10-14T03:55:24.548-07:00</atom:updated><title>SCRA EXAM CENTRES</title><description>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;Examination Centre Codes&lt;br /&gt;
Choose the Correct Examination Centre code from the list given below where you&lt;br /&gt;
wish to appear in &lt;i style=&quot;color: orange;&quot;&gt;Special Class Railway Apprentices&#39; Examination, 2011.&lt;/i&gt; And then&lt;br /&gt;
darken the appropriate circles.&lt;br /&gt;
&lt;i style=&quot;color: orange;&quot;&gt;List of Centres for Special Class Railway Apprentices&#39; Examination, 2011 and their&lt;br /&gt;
codes&lt;/i&gt;&lt;br /&gt;
&lt;br /&gt;
AGARTALA 45 GANGTOK 42 PANAJI (GOA) 36&lt;br /&gt;
AHMEDABAD 01 HYDERABAD 10 PATNA 15&lt;br /&gt;
AIZAWL 47 IMPHAL 44 PORT BLAIR 37&lt;br /&gt;
ALLAHABAD 02 ITANAGAR 48 RAIPUR 49&lt;br /&gt;
BANGALORE 03 JAIPUR 11 RANCHI 41&lt;br /&gt;
BAREILLY 54 JAMMU 34 SAMBALPUR 53&lt;br /&gt;
BHOPAL 04 JORHAT 46 SHILLONG 16&lt;br /&gt;
CHANDIGARH 35 KOCHI 24 SHIMLA 17&lt;br /&gt;
CHENNAI 12 KOHIMA 43 SRINAGAR 18&lt;br /&gt;
CUTTACK 07 KOLKATA 06 THIRUVANANTHAPURAM 19&lt;br /&gt;
DEHRADUN 14 LUCKNOW 26 TIRUPATI 50&lt;br /&gt;
DELHI 08 MADURAI 40 UDAIPUR 52&lt;br /&gt;
DHARWAD 39 MUMBAI 05 VISHAKHAPATNAM 51&lt;br /&gt;
DISPUR 09 NAGPUR 13&lt;/div&gt;</description><link>http://scraexam.blogspot.com/2011/10/scra-exam-centres.html</link><author>noreply@blogger.com (Unknown)</author><thr:total>0</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6231931743906059601.post-4203793034122727836</guid><pubDate>Fri, 14 Oct 2011 10:54:00 +0000</pubDate><atom:updated>2011-10-14T03:54:09.575-07:00</atom:updated><title>SCRA Minimum Educational Qualification</title><description>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;br /&gt;
&lt;strong&gt;Minimum Educational Qualification:&lt;/strong&gt;&lt;br /&gt;
&lt;br /&gt;
For admission to the examination a candidate-&lt;br /&gt;
&lt;br /&gt;
&lt;strong&gt;(a.)&lt;/strong&gt;  Must have passed in the first or second division, the Intermediate or  an equivalent Examination of a University or Board approved by the  Government of India with Mathematics and at least one of the subjects  Physics and Chemistry as subjects of the examination.&lt;br /&gt;
&lt;br /&gt;
Graduates with &lt;a href=&quot;http://www.goiit.com/posts/show/814459/-special-class-railway-apprentice-scra-maths-syllabus-804678.htm&quot; title=&quot;SCRA Maths Syllabus Details&quot;&gt;Mathematics&lt;/a&gt; and at least one of the subjects Physics and Chemistry as their degree subjects may also apply, &lt;br /&gt;
&lt;br /&gt;
or&lt;br /&gt;
&lt;br /&gt;
&lt;strong&gt;(b.)&lt;/strong&gt;  must have passed in the first or second division, the Higher Secondary  (12 years) Examination under 10 plus 2 pattern of School Education with  Mathematics and at least one of the subjects Physics and Chemistry as  subjects of the examination.&lt;/div&gt;</description><link>http://scraexam.blogspot.com/2011/10/scra-minimum-educational-qualification.html</link><author>noreply@blogger.com (Unknown)</author><thr:total>0</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6231931743906059601.post-6518719431735472938</guid><pubDate>Fri, 14 Oct 2011 10:46:00 +0000</pubDate><atom:updated>2011-10-14T03:46:03.610-07:00</atom:updated><title>SCHEME OF SCRA  EXAMINATION</title><description>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;The examination shall be conducted according&lt;br /&gt;
to the following plan.&lt;br /&gt;
Part I Written examination carrying a&lt;br /&gt;
maximum of 600 marks in the&lt;br /&gt;
subjects as shown below.&lt;br /&gt;
Part II Personality Test carrying a&lt;br /&gt;
maximum of 200 marks in respect&lt;br /&gt;
of only those candidates&lt;br /&gt;
who are declared qualified on the&lt;br /&gt;
results of written examination.&lt;br /&gt;
2. The subjects of the written examination&lt;br /&gt;
under Part I, the time allowed&lt;br /&gt;
and the maximum marks allotted to&lt;br /&gt;
each subject/paper shall be as follows&lt;br /&gt;
:&lt;br /&gt;
Subjects Code Time Maxi-&lt;br /&gt;
No. Allow- mum&lt;br /&gt;
ed Marks&lt;br /&gt;
Paper-I General 01 2 Hours 200&lt;br /&gt;
Ability&lt;br /&gt;
Test&lt;br /&gt;
(English,&lt;br /&gt;
General&lt;br /&gt;
Knowledge&lt;br /&gt;
and&lt;br /&gt;
Psychological&lt;br /&gt;
Test)&lt;br /&gt;
Paper-II Physical 02 2 Hours 200&lt;br /&gt;
Sciences&lt;br /&gt;
(Physics&lt;br /&gt;
and&lt;br /&gt;
Chemistry)&lt;br /&gt;
Paper-III Mathematics 03 2 Hours 200&lt;br /&gt;
Total Marks 600&lt;br /&gt;
3. The papers in all the subjects will&lt;br /&gt;
consist of Objective (multiple&lt;br /&gt;
choice answer) Type questions&lt;br /&gt;
only. The Question Papers (Test&lt;br /&gt;
Booklets) will be set in English only.&lt;br /&gt;
4. In the question papers, wherever required,&lt;br /&gt;
SI units will be used.&lt;br /&gt;
5. Question Papers will be approximately&lt;br /&gt;
of the Intermediate standard.&lt;br /&gt;
6. Candidates must write the answers&lt;br /&gt;
in their own hand. In no circumstances,&lt;br /&gt;
will they be allowed the help&lt;br /&gt;
of a scribe to write the answers for&lt;br /&gt;
them.&lt;br /&gt;
7. The Commission have discretion to&lt;br /&gt;
fix qualifying marks in any or all the&lt;br /&gt;
subjects of the examination.&lt;br /&gt;
8. Candidates are not permitted to use&lt;br /&gt;
calculators for answering objective&lt;br /&gt;
type papers (Test Booklets). They&lt;br /&gt;
should not, therefore, bring the&lt;br /&gt;
same inside the Examination Hall.&lt;br /&gt;
&lt;div style=&quot;color: orange;&quot;&gt;&lt;i&gt;&lt;br /&gt;
&lt;/i&gt;&lt;/div&gt;&lt;div style=&quot;color: orange;&quot;&gt;&lt;i&gt;courtsey-upsc website&lt;/i&gt;&lt;/div&gt;&lt;i style=&quot;color: orange;&quot;&gt;for more info visit upsc&lt;/i&gt;&lt;/div&gt;</description><link>http://scraexam.blogspot.com/2011/10/scheme-of-scra-examination.html</link><author>noreply@blogger.com (Unknown)</author><thr:total>0</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6231931743906059601.post-4798011822570021898</guid><pubDate>Sun, 09 Oct 2011 19:53:00 +0000</pubDate><atom:updated>2011-10-09T12:54:51.417-07:00</atom:updated><title>Scra Free Notes</title><description>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;Special Class Railway Apprentice Preperation Notes here&lt;br /&gt;
&lt;i&gt;Coming soon&lt;/i&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;/div&gt;</description><link>http://scraexam.blogspot.com/2011/10/scra-free-notes.html</link><author>noreply@blogger.com (Unknown)</author><thr:total>1</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6231931743906059601.post-2811203328932031465</guid><pubDate>Sun, 09 Oct 2011 19:52:00 +0000</pubDate><atom:updated>2011-10-09T12:52:48.119-07:00</atom:updated><title>SCRA Study materail</title><description>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;Freee Study materail&lt;br /&gt;
&lt;i&gt;Coming soon&lt;/i&gt;&lt;/div&gt;</description><link>http://scraexam.blogspot.com/2011/10/scra-study-materail.html</link><author>noreply@blogger.com (Unknown)</author><thr:total>0</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6231931743906059601.post-6785845766291225313</guid><pubDate>Sun, 09 Oct 2011 19:51:00 +0000</pubDate><atom:updated>2011-10-09T12:51:12.161-07:00</atom:updated><title>SCRA Preparation</title><description>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;i style=&quot;color: orange;&quot;&gt;FREE ONLINE SELF PREPARATION&lt;/i&gt;&lt;/div&gt;</description><link>http://scraexam.blogspot.com/2011/10/scra-preparation.html</link><author>noreply@blogger.com (Unknown)</author><thr:total>0</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6231931743906059601.post-5902139286060959861</guid><pubDate>Sun, 09 Oct 2011 19:24:00 +0000</pubDate><atom:updated>2011-10-09T12:29:40.664-07:00</atom:updated><title>SCRA Results to be Announced</title><description>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;div style=&quot;color: orange;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-size: large;&quot;&gt;&lt;i&gt;Written Exam Date&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Exam &amp;nbsp;&lt;/i&gt;&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;span style=&quot;color: black;&quot;&gt;31/07/2011&lt;/span&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;span style=&quot;color: black;&quot;&gt;Special Class Railway Apprentice (SCRA) 2011&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;i&gt;&lt;u&gt;&amp;nbsp;Comment&lt;/u&gt;&lt;/i&gt;-not yet now ,Check Upsc Official website&lt;br /&gt;
&lt;a href=&quot;http://www.upsc.gov.in/exams/exams.htm#Written%20Results&quot;&gt; Click Here To Check&lt;/a&gt;&lt;br /&gt;
&lt;a href=&quot;http://www.freejobalert.com/exam-results-to-be-announced-2/22025/#ixzz1aJWmYSTn&quot; style=&quot;color: #003399;&quot;&gt;&lt;/a&gt;&lt;/div&gt;</description><link>http://scraexam.blogspot.com/2011/10/scra-results-to-be-announced.html</link><author>noreply@blogger.com (Unknown)</author><thr:total>0</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6231931743906059601.post-778137483877966461</guid><pubDate>Sun, 09 Oct 2011 15:59:00 +0000</pubDate><atom:updated>2011-10-09T09:24:15.905-07:00</atom:updated><title>SCRA Toppers View</title><description>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;&amp;nbsp;&lt;i&gt;&lt;span style=&quot;color: red;&quot;&gt;&amp;nbsp;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; Akhil jain&amp;nbsp; RANK – 1&lt;/span&gt;&lt;br style=&quot;color: red;&quot; /&gt;&lt;span style=&quot;color: red;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; in&lt;/span&gt;&lt;/i&gt;&lt;/span&gt;&lt;br /&gt;
&lt;i&gt;SPECIAL CLASS RAILWAY APPRENTICES’&lt;br /&gt;
EXAMINATION (SCRA)- 2010, conducted by UPSC&lt;/i&gt;&lt;br /&gt;
&lt;i style=&quot;color: orange;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;1.AKHIL JAIN&lt;/span&gt;&lt;/i&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/AVvXsEjfXLkREswSXjs-TpmIGoavI_fL1yaMXQgFiYZtwfC6u0r5ljV4Bjbfqnhi4oIT1HgDsMU3w8AcrGJVa6uKMR3_r5ewoXcdychu-uUA3Gf4DohfFyxUMi0sBOO5m03dNzyF4XS7yVlxeQ2F/s1600/scra2010.pdf+-+Adobe+Reader.bmp&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; height=&quot;200&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjfXLkREswSXjs-TpmIGoavI_fL1yaMXQgFiYZtwfC6u0r5ljV4Bjbfqnhi4oIT1HgDsMU3w8AcrGJVa6uKMR3_r5ewoXcdychu-uUA3Gf4DohfFyxUMi0sBOO5m03dNzyF4XS7yVlxeQ2F/s200/scra2010.pdf+-+Adobe+Reader.bmp&quot; width=&quot;178&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;
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&lt;br /&gt;
&lt;br /&gt;
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&lt;br /&gt;
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&lt;span style=&quot;font-family: Georgia,Times New Roman,Times,serif; font-size: x-small;&quot;&gt;&lt;i style=&quot;color: orange;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;2. NEELESH KUMAR&lt;/span&gt;&lt;/i&gt;&lt;br /&gt;
ALL INDIA RANK - 7&lt;br /&gt;
CIVIL SERVICES EXAMINATION 1996.&lt;br /&gt;
Service : Indian Police Service&lt;br /&gt;
Cadre : Not yet allotted&lt;br /&gt;
MY TRYST WITH THE CIVIL SERVICES&lt;br /&gt;
Educational Background :&lt;br /&gt;
Till XII, Kendriya Vidyalaya at Rae Bareli, Srinagar (J&amp;amp;K), Bangalore and&lt;br /&gt;
Allahabad.&lt;br /&gt;
Passed out from XII in 1990. Jointed SCRA, Jamalpur in 1991, did Mach. Engg.&lt;br /&gt;
and passed out in 1995.&lt;br /&gt;
Work Experience :&lt;br /&gt;
Trained for 1 1/2 years in various railway units and workshops and took up&lt;br /&gt;
assignment as Assistant Mechanical Engineer in Diesel Locomotive Shed,&lt;br /&gt;
Bangalore.&lt;br /&gt;
Regarding Civil Service :&lt;br /&gt;
Subjects : Maths &amp;amp; Anthropology&lt;br /&gt;
Attempts : 3&lt;br /&gt;
Mode of Preparation : Prelims subject was Maths, didnot require much&lt;br /&gt;
preparation same with General Studies continued preparation for mains subjects.&lt;br /&gt;
Mains : Prepared maths question were 70 in paper 1 and 7 in Paper II.&lt;br /&gt;
Anthropology : Did coaching at Vaid&#39;s and practised by writing sample answers.&lt;br /&gt;
General Studies : Had gone thru notes of Vajiram and Rao and used standard&lt;br /&gt;
books.&lt;br /&gt;
Interview : did coaching at Vajiram and Rao&#39;s&lt;br /&gt;
Message : Work Hard&lt;br /&gt;
&lt;/span&gt;&lt;/div&gt;</description><link>http://scraexam.blogspot.com/2011/10/toppers-view.html</link><author>noreply@blogger.com (Unknown)</author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjfXLkREswSXjs-TpmIGoavI_fL1yaMXQgFiYZtwfC6u0r5ljV4Bjbfqnhi4oIT1HgDsMU3w8AcrGJVa6uKMR3_r5ewoXcdychu-uUA3Gf4DohfFyxUMi0sBOO5m03dNzyF4XS7yVlxeQ2F/s72-c/scra2010.pdf+-+Adobe+Reader.bmp" height="72" width="72"/><thr:total>1</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6231931743906059601.post-7363171078985026387</guid><pubDate>Sun, 28 Aug 2011 02:53:00 +0000</pubDate><atom:updated>2011-11-03T10:19:14.961-07:00</atom:updated><category domain="http://www.blogger.com/atom/ns#">SCRA</category><title>FORUM | SCRA</title><description>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;div style=&quot;color: #990000;&quot;&gt;&lt;span class=&quot;table_black_text&quot;&gt;&lt;span style=&quot;font-size: 12pt;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: Times New Roman;&quot;&gt;1.How to prepare for scra?&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;span id=&quot;dlAirList_ctl00_lblexpertviews&quot; style=&quot;font-family: Arial; font-size: 10pt;&quot;&gt;&amp;nbsp;Scra Preperation is not any different from any other competative exams like IIT or AIEEE&lt;/span&gt;&lt;span class=&quot;table_black_text&quot;&gt;&lt;span style=&quot;font-size: 12pt;&quot;&gt;&lt;b&gt;&lt;span style=&quot;color: #006699;&quot;&gt;&lt;span style=&quot;font-family: Times New Roman;&quot;&gt; &lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span id=&quot;dlAirList_ctl00_lblexpertviews&quot; style=&quot;font-family: Arial; font-size: 10pt;&quot;&gt;&amp;nbsp;only difference is ,&lt;/span&gt;&lt;span id=&quot;dlAirList_ctl00_lblexpertviews&quot; style=&quot;font-family: Arial; font-size: 10pt;&quot;&gt;english and general knowledge are also there &lt;/span&gt;&lt;span id=&quot;dlAirList_ctl00_lblexpertviews&quot; style=&quot;font-family: Arial; font-size: 10pt;&quot;&gt;which is of quite easy level.&lt;/span&gt;&lt;br /&gt;
&lt;span id=&quot;dlAirList_ctl00_lblexpertviews&quot; style=&quot;font-family: Arial; font-size: 10pt;&quot;&gt;&amp;nbsp;go through last years papers and solve any good books .&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;div style=&quot;color: #660000;&quot;&gt;&lt;span class=&quot;table_black_text&quot;&gt;&lt;span style=&quot;font-size: 12pt;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: Times New Roman;&quot;&gt; &lt;span style=&quot;color: #990000;&quot;&gt;2. Why scra?&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;span class=&quot;table_black_text&quot;&gt;&lt;span style=&quot;font-size: 12pt;&quot;&gt;&lt;b&gt;&lt;span style=&quot;color: #006699;&quot;&gt;&lt;span style=&quot;font-family: Times New Roman;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;span id=&quot;dlAirList_ctl00_lblexpertviews&quot; style=&quot;font-family: Arial; font-size: 10pt;&quot;&gt;more reputation &amp;amp; job security&lt;/span&gt;&lt;br /&gt;
&lt;b&gt;&lt;span id=&quot;dlAirList_ctl00_lblexpertviews&quot; style=&quot;font-family: Arial; font-size: 10pt;&quot;&gt;&amp;nbsp;&lt;/span&gt;&amp;nbsp;&lt;/b&gt;&lt;br /&gt;
&lt;div style=&quot;color: #990000;&quot;&gt;&lt;b&gt;3.Is SCRA a very tough exam?&lt;/b&gt;&lt;/div&gt;SCRA and IIT-JEE are two different exams. The standard&amp;nbsp; depends on your level of preparation. But yes SCRA is not easy to Qualify, needs a Lot of preparation. The syllabus for SCRA Contains physics, chemistry and maths (12-cbse Equivalent), general knowledge,general science and english.&lt;br /&gt;
SCRA a exam nothing is tough all you need is to do hard work with  regular studies,however this exam really have a good level as compare to  others&lt;br /&gt;
&lt;br /&gt;
&lt;div style=&quot;color: #990000;&quot;&gt;&lt;b&gt;4.SCRA Entrance Pattern?&lt;/b&gt;&lt;/div&gt;&lt;br /&gt;
&lt;div style=&quot;background-color: transparent; border: medium none; color: black; overflow: hidden; text-align: left; text-decoration: none;&quot;&gt;&lt;/div&gt;&lt;div style=&quot;background-color: transparent; border: medium none; color: black; overflow: hidden; text-align: left; text-decoration: none;&quot;&gt;&lt;/div&gt;The SCRA entrance pattern in entrance examination comprises written test in &lt;br /&gt;
Mathematics, Physics, Chemistry, English Language, General Knowledge, and &lt;br /&gt;
Psychological Test (Mental Ability). The selected candidates are called for an interview, &lt;br /&gt;
which is followed by a medical examination. The standard of syllabus is that of Class XII &lt;br /&gt;
(CBSE equivalent)&lt;br /&gt;
&lt;br /&gt;
&lt;div style=&quot;color: #990000;&quot;&gt;&lt;b&gt;5.What After successful completion of four years of training?&lt;/b&gt;&lt;/div&gt;After successful completion of four years of training, the candidates join as Indian &lt;br /&gt;
Railway Services of Mechanical Engineers (IRSME) Officers in Indian Railways to face a &lt;br /&gt;
challanging and satisfying career&lt;br /&gt;
Degree Awarded: SCRAs get a Bachelor of Engineering degree in Mechanical Engineering &lt;br /&gt;
after successful completion of four years of training. This degree is recognised by the All &lt;br /&gt;
Council for Technical Education.&lt;br /&gt;
&amp;nbsp; &lt;br /&gt;
&lt;i&gt;The selected candidates undergo a four-year rigorous training  programme in Mechanical Engineering, for which the Institute has a  Memorandum of Understanding with BIT, Mesra, Ranchi. The semester system  of BIT, Mesra is followed, with workshop training sessions during the  holidays at BIT, Mesra.&lt;/i&gt;&lt;br /&gt;
&lt;i&gt;The apprentices get a stipend in the scale of Rs. 4000-4400 with  Dearness Allowance,making the final emoluments upto Rs. 7400, apart from  medical benefits, privelege passes and PTOs.&lt;/i&gt;&lt;br /&gt;
&lt;div style=&quot;color: #990000;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div style=&quot;color: #990000;&quot;&gt;&lt;b&gt;&lt;span class=&quot;st&quot;&gt;&lt;i&gt;6.Biggest drawback ?&lt;/i&gt;&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;&lt;span class=&quot;st&quot;&gt;&lt;i&gt;&amp;nbsp;&lt;/i&gt;&lt;/span&gt;&lt;span class=&quot;st&quot;&gt;&lt;i&gt;The biggest drawback of SCRA Exams&lt;/i&gt; is the limited number of seats. But it prepares students for something which no other exam can compete with.&lt;/span&gt;&lt;br /&gt;
&lt;h3 class=&quot;r&quot; style=&quot;color: #990000; font-weight: normal;&quot;&gt;&lt;i&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;b&gt;7.What is the &lt;em&gt;cut off&lt;/em&gt; of &lt;em&gt;SCRA&lt;/em&gt; exam?&lt;/b&gt;&lt;/span&gt;&lt;/i&gt;&lt;/h3&gt;THERE IS NO DEFINETE CUT OFF&lt;br /&gt;
Approx cut off&amp;nbsp;&amp;nbsp; - 72%&lt;br /&gt;
&amp;nbsp;&amp;amp;&lt;br /&gt;
50 to 60 percent of the total marks&lt;br /&gt;
&lt;div style=&quot;background-color: transparent; border: medium none; color: black; overflow: hidden; text-align: left; text-decoration: none;&quot;&gt;&lt;b&gt;&lt;br /&gt;
&lt;/b&gt;&lt;/div&gt;&lt;div style=&quot;color: #990000;&quot;&gt;&lt;b&gt;&lt;i&gt;&lt;span class=&quot;st&quot;&gt;8.Difference between SCRA and IES?&lt;/span&gt;&lt;/i&gt;&lt;/b&gt;&lt;/div&gt;There is no difference between SCRA and IES in terms of promotions and salaries, both are one and same- But in SCRA you get free engineering and stipend and a life of freedom while you are graduating itself- The difference is same as NDA and CDS - In government sector as you know promotions are time based - the more service you have to serve the more chances are that you go to the stop - so either it is SCRA or IES - it depends on the age you entering service? for SCRA service counts after four years you join i.e after completion of engineering&lt;br /&gt;
Courtsey -&lt;i&gt;Alumni &lt;/i&gt;&lt;/div&gt;</description><link>http://scraexam.blogspot.com/2011/08/forum.html</link><author>noreply@blogger.com (Unknown)</author><thr:total>2</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6231931743906059601.post-6469254270642317229</guid><pubDate>Sat, 27 Aug 2011 16:16:00 +0000</pubDate><atom:updated>2011-08-27T10:51:22.327-07:00</atom:updated><title>What&#39;s New</title><description>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;/div&gt;&lt;br /&gt;
&lt;/div&gt;</description><link>http://scraexam.blogspot.com/2011/08/whats-new.html</link><author>noreply@blogger.com (Unknown)</author><thr:total>0</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6231931743906059601.post-5860297071458589809</guid><pubDate>Sat, 27 Aug 2011 13:22:00 +0000</pubDate><atom:updated>2011-08-27T06:24:47.390-07:00</atom:updated><title>General Ability Test</title><description>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&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/AVvXsEiQNbGU6WLT5waRt3vrwiSNgh1I9VZatoX59EmEPUQKd53MMxgQRUHqo3Z1T9-OyTqyf4l7151k5iQdwGvyvagdg8stj4gACLGfTOLdQvizQz5so5lS5HQHsQRQ9PgtslQFVe8h_F4Nn3Uh/s1600/indiamap.gif&quot; imageanchor=&quot;1&quot; style=&quot;clear: left; float: left; margin-bottom: 1em; margin-left: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;400&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiQNbGU6WLT5waRt3vrwiSNgh1I9VZatoX59EmEPUQKd53MMxgQRUHqo3Z1T9-OyTqyf4l7151k5iQdwGvyvagdg8stj4gACLGfTOLdQvizQz5so5lS5HQHsQRQ9PgtslQFVe8h_F4Nn3Uh/s400/indiamap.gif&quot; width=&quot;314&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;/div&gt;</description><link>http://scraexam.blogspot.com/2011/08/general-ability-test.html</link><author>noreply@blogger.com (Unknown)</author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiQNbGU6WLT5waRt3vrwiSNgh1I9VZatoX59EmEPUQKd53MMxgQRUHqo3Z1T9-OyTqyf4l7151k5iQdwGvyvagdg8stj4gACLGfTOLdQvizQz5so5lS5HQHsQRQ9PgtslQFVe8h_F4Nn3Uh/s72-c/indiamap.gif" height="72" width="72"/><thr:total>0</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6231931743906059601.post-7640619780862523853</guid><pubDate>Fri, 26 Aug 2011 18:13:00 +0000</pubDate><atom:updated>2011-08-27T20:45:08.264-07:00</atom:updated><title>About Special Class Railway Apprentice examination</title><description>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;i style=&quot;color: #990000;&quot;&gt;The Union Public Service Commission conducts the Special Class Railway Apprentice examination (SCRA) to select candidates for the Mechanical Department of the Indian Railways. This is a class-I service and these officials constitute the top rung cadre of the mechanical wing of the Indian Railways.&lt;/i&gt;&lt;/div&gt;</description><link>http://scraexam.blogspot.com/2011/08/about-special-class-railway-apprentice.html</link><author>noreply@blogger.com (Unknown)</author><thr:total>0</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6231931743906059601.post-5533089074984098987</guid><pubDate>Fri, 26 Aug 2011 04:55:00 +0000</pubDate><atom:updated>2011-08-25T21:55:11.599-07:00</atom:updated><title>Tips to Crack SCRA Exam</title><description>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;span style=&quot;color: red;&quot;&gt;Tips to Crack SCRA Exam&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;
•&amp;nbsp;&amp;nbsp; &amp;nbsp;You need to attain minimum qualifying scores in subject. Thus, focusing on one subject and ignoring the other may land you in a hot soup. So, divide your time among the subjects more equitably. &lt;br /&gt;
&amp;nbsp; -&amp;nbsp; Try conventional methods first. &lt;br /&gt;
-&amp;nbsp;&amp;nbsp; If they don’t work out, try to understand the problem again and find clues that can lead you to solution. &lt;br /&gt;
&amp;nbsp;-&amp;nbsp; Go through the concepts related to the problem once again and see how they can be applied to the problem in hand. &lt;br /&gt;
-&amp;nbsp; Try to relate the problem to real-life situations. It will help you to analyze it better. &lt;br /&gt;
&amp;nbsp;&amp;nbsp; Consult the solution, only when you have exhausted your limits. See, what you had missed earlier. &lt;br /&gt;
-&amp;nbsp;&amp;nbsp;&amp;nbsp; Practice similar problems. &lt;br /&gt;
-&amp;nbsp;&amp;nbsp;&amp;nbsp; Devise your own shortcuts and ways to tackle particular kind of problems. &lt;br /&gt;
&lt;br /&gt;
•&amp;nbsp;&amp;nbsp; &amp;nbsp;In SCRA EXAM, both speed and strike rate matter. You need to be quick and accurate to achieve high scores. High speed with less accuracy can actually ruin your results. &lt;br /&gt;
&lt;br /&gt;
•&amp;nbsp;&amp;nbsp; &amp;nbsp;. Being adept in mental calculations can actually increase your speed to a great extent. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
•&amp;nbsp;&amp;nbsp; &amp;nbsp;Once you are done with the questions you know well, apply the method of intelligent guessing and elimination for questions you are not sure about. &lt;br /&gt;
Since you only need to choose one of the four given options, your chances of choosing a correct answer is 25%. &lt;br /&gt;
&lt;br /&gt;
•&amp;nbsp;&amp;nbsp; &amp;nbsp;If you eliminate one incorrect answer, your chances improve to 33%. If you are able to strike out one more option, your chances of choosing the correct answer will be as high as 50%.&lt;br /&gt;
&lt;br /&gt;
•&amp;nbsp;&amp;nbsp; &amp;nbsp;do not resort to wild guesswork. It is better to leave the question you have no idea about, as you do not lose marks on questions you do not attempt.&lt;br /&gt;
&lt;br /&gt;
First is: BUILDING THE CONCEPTS,&lt;br /&gt;
&lt;br /&gt;
Second is: PROPER APPLICATIONS OF CONCEPTS&lt;br /&gt;
&lt;br /&gt;
Third is: PRACTICE.&lt;br /&gt;
&lt;br /&gt;
Ultimately for preparation of any exam, remember some points:&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
1) Always start from BASICS because &quot;without base, there will be no altitude&quot; and &quot;journey of a thousand miles begin with single step&quot;.&lt;br /&gt;
&lt;br /&gt;
2) Always BUILD UP RIGHT &amp;amp; APPROPRIATE BASICS because &quot;once the track of train is being changed, it will go on only that track&quot;. So always select the right track.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
3) Never prefer solutions of questions before doing SELF-ATTEMPT at least five times till you get the right answer because &quot;without fall you cannot stand at once&quot;.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
4) Never leave the question in between. And I saw a lot of students practicing this question without attempting it whole, and it&#39;s a very big fault for students and even it becomes their negative point sometimes. So please ignore this thing. Because &quot;many of life&#39;s failure are people who did not realize how close they were to success when they gave up&quot;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
5) Always try a question with CONCEPTUAL APPROACH, not just read the question then start doing without getting the point that what question is saying.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
6) Your study schedule should be such that you will even easily get the time for a little enjoyment daily.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
7) Most important thing is that you should be having a time schedule as well as REGULARITY in study.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
8) Also you will have to take appropriate sleep or rest of at least 6 hours a day if you are preparing for SCRA ,IIT-JEE Aieee&amp;nbsp; otherwise your mind set-up for next day will not be in place.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
9) Never cram the things, always TRY TO UNDERSTAND the problem or theory.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
10) And BE CONFIDENT while you are preparing. NEVER LOSE CONFIDENCE.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
11) Always keep contact with intelligent students of your class or at coaching centre.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
12) Think positive&lt;br /&gt;
13) Always be AHEAD in exams like-OLYMPIAD, UNIFIED COUNCIL etc. Etc. (for more information-contact me)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
14) Always keep the copy of latest syllabus for particular exam. Always check the syllabus before starting a new topic.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
15) NEVER GET DEMORALIZED BY SOMEBODY but yes ALWAYS GET INSPIRED FROM SOMEBODY WHO IS YOUR SENIOR. (If you want, contact me)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
16) I have a positive point i.e. once I set a goal, then I don&#39;t look at anything else, I just KEEP DETERMINATION in me until or unless I ACHIEVE THAT GOAL.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
17) Whenever you complete any chapter or particular topic, first of all, go through that topic from NCERT. (It&#39;s very important).&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
18) There is one more thing, whenever you are studying just be CONCENTRATE on that thing so badly, so that you even don&#39;t know what is happening your nearby. Because studying 2 hours with DAMN GOOD CONCENTRATION is equals to studying 5-12 hours without any concentration.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
19) Always study anything with GREAT INTEREST otherwise it will be of NO USE.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
20) Even there are some students who think that they can nod prepare for IIT-JEE like EXAMS. So if they think so, then they are wrong. Because &quot;ATTITUDE, NOT APTITUDE DETERMINES ALTITUDE&quot;.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;/div&gt;</description><link>http://scraexam.blogspot.com/2011/08/tips-to-crack-scra-exam.html</link><author>noreply@blogger.com (Unknown)</author><thr:total>4</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6231931743906059601.post-4671343448855933989</guid><pubDate>Sun, 21 Aug 2011 18:55:00 +0000</pubDate><atom:updated>2011-08-21T11:55:34.440-07:00</atom:updated><title>Discussion</title><description>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&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/AVvXsEhioWNa8t2skM6s3VivOZdPc55TTrvffy7YSZ9wicfxSWnttVA0X3YwY9vfhS9BQd7S83UuNJqjM_lrgeP9qWUdkBs_6RrQl7OXorGx1oW481k4ZfO5Lkvez_Cbe38atTGm8hpN2IClfDd8/s1600/Best+Wallpapers+2008+%2528Fun12.com%2529+28.jpg&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;480&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhioWNa8t2skM6s3VivOZdPc55TTrvffy7YSZ9wicfxSWnttVA0X3YwY9vfhS9BQd7S83UuNJqjM_lrgeP9qWUdkBs_6RrQl7OXorGx1oW481k4ZfO5Lkvez_Cbe38atTGm8hpN2IClfDd8/s640/Best+Wallpapers+2008+%2528Fun12.com%2529+28.jpg&quot; width=&quot;640&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;
&lt;/div&gt;</description><link>http://scraexam.blogspot.com/2011/08/discussion.html</link><author>noreply@blogger.com (Unknown)</author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhioWNa8t2skM6s3VivOZdPc55TTrvffy7YSZ9wicfxSWnttVA0X3YwY9vfhS9BQd7S83UuNJqjM_lrgeP9qWUdkBs_6RrQl7OXorGx1oW481k4ZfO5Lkvez_Cbe38atTGm8hpN2IClfDd8/s72-c/Best+Wallpapers+2008+%2528Fun12.com%2529+28.jpg" height="72" width="72"/><thr:total>0</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6231931743906059601.post-7260672654090257189</guid><pubDate>Thu, 11 Aug 2011 14:37:00 +0000</pubDate><atom:updated>2011-08-21T11:42:51.035-07:00</atom:updated><title>SCRA Syllabus Descriptions</title><description>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;div style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;m:smallfrac m:val=&quot;off&quot;&gt;    &lt;m:dispdef&gt;    &lt;m:lmargin m:val=&quot;0&quot;&gt;    &lt;m:rmargin m:val=&quot;0&quot;&gt;    &lt;m:defjc m:val=&quot;centerGroup&quot;&gt;    &lt;m:wrapindent m:val=&quot;1440&quot;&gt;    &lt;m:intlim m:val=&quot;subSup&quot;&gt;    &lt;m:narylim m:val=&quot;undOvr&quot;&gt;   &lt;/m:narylim&gt;&lt;/m:intlim&gt; &lt;/m:wrapindent&gt;  &lt;/m:defjc&gt;&lt;/m:rmargin&gt;&lt;/m:lmargin&gt;&lt;/m:dispdef&gt;&lt;/m:smallfrac&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 16pt; line-height: 115%;&quot;&gt;GENERAL ABILITY TEST&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 9pt; line-height: 115%;&quot;&gt;1.Ordering sentences&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 9pt; line-height: 115%;&quot;&gt;2.ordering of words in a sentences&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 9pt; line-height: 115%;&quot;&gt;3.spotting errors&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 9pt; line-height: 115%;&quot;&gt;4.Comprehensions&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 9pt; line-height: 115%;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp; Passages&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 9pt; line-height: 115%;&quot;&gt;5.Antonyms&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 9pt; line-height: 115%;&quot;&gt;6.synonyms&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 20pt; line-height: 115%;&quot;&gt;Physical sciences&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 9pt; line-height: 115%;&quot;&gt;1.physics&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 9pt; line-height: 115%;&quot;&gt;2.chemistry&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 9pt; line-height: 115%;&quot;&gt;3.Mathematics&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot;&gt;&amp;nbsp;IMPORTANT TIPS&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 8pt; line-height: 115%;&quot;&gt;*Command these&lt;/span&gt;&lt;span lang=&quot;EN-IN&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/i&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 9pt; line-height: 115%;&quot;&gt;**** spotting errors ,Vocabulary , sentences improvement, selecting words ****&lt;/span&gt;&lt;span lang=&quot;EN-IN&quot;&gt;&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 18pt; line-height: 115%;&quot;&gt;OBJECTIVE GENERAL ENGLISH&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 9pt; line-height: 115%;&quot;&gt;1.comprehensions&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 9pt; line-height: 115%;&quot;&gt;2.Vocabulary test&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 9pt; line-height: 115%;&quot;&gt;3.English usage&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 9pt; line-height: 115%;&quot;&gt;4.English structure&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 9pt; line-height: 115%;&quot;&gt;***Use of preposition ,writing ability.&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 9pt; line-height: 115%;&quot;&gt;5.Word Usage&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 9pt; line-height: 115%;&quot;&gt;***one word substitution, antoyms ,sentences completion ,synonyms , &lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 9pt; line-height: 115%;&quot;&gt;6.Sequences of sentences and words&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 9pt; line-height: 115%;&quot;&gt;7.Closet Set&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 9pt; line-height: 115%;&quot;&gt;8.synonyms in operation&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 18pt; line-height: 115%;&quot;&gt;GENERAL KNOWLEDGE&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 9pt; line-height: 115%;&quot;&gt;1.History and culture&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 9pt; line-height: 115%;&quot;&gt;2.indian polity and constitution&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 9pt; line-height: 115%;&quot;&gt;3.Indian National Moments&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 18pt; line-height: 115%;&quot;&gt;GEOGRAPHY&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 9pt; line-height: 115%;&quot;&gt;1.Geography of india&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 9pt; line-height: 115%;&quot;&gt;2.World geography&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 9pt; line-height: 115%;&quot;&gt;3.Indian economy&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 9pt; line-height: 115%;&quot;&gt;4.International organisations&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 9pt; line-height: 115%;&quot;&gt;5.books and authors&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 9pt; line-height: 115%;&quot;&gt;6.Awards&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 9pt; line-height: 115%;&quot;&gt;7.Sports&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 9pt; line-height: 115%;&quot;&gt;8.Census of india &lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 18pt; line-height: 115%;&quot;&gt;***GENERAL SCIENCES &lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 18pt; line-height: 115%;&quot;&gt;***PCM (&lt;/span&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;Physics,chemistry and mathematics&lt;/span&gt;&lt;/i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 18pt; line-height: 115%;&quot;&gt;)&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 18pt; line-height: 115%;&quot;&gt;INTELLIGENCE TEST&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 9pt; line-height: 115%;&quot;&gt;GENERAL INSTRUCTIONS&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 9pt; line-height: 115%;&quot;&gt;1.Numbers series problems&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 9pt; line-height: 115%;&quot;&gt;2.Reasoning problems&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 9pt; line-height: 115%;&quot;&gt;3.spotting the odd&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 9pt; line-height: 115%;&quot;&gt;4.Letter and numbers series&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 9pt; line-height: 115%;&quot;&gt;5.Same and opposite&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;i&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 9pt; line-height: 115%;&quot;&gt;6.Analogies&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;/div&gt;</description><link>http://scraexam.blogspot.com/2011/08/scra-syllabus-descriptions.html</link><author>noreply@blogger.com (Unknown)</author><thr:total>0</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6231931743906059601.post-4834128351747919158</guid><pubDate>Wed, 10 Aug 2011 07:18:00 +0000</pubDate><atom:updated>2011-08-10T00:18:08.444-07:00</atom:updated><title></title><description>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;span lang=&quot;EN-IN&quot;&gt;PHYSICS- is a science (science is related to machines,telephones,computers,satellite)&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;span lang=&quot;EN-IN&quot;&gt;1.What is physics?&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class=&quot;separator&quot; closure_uid_76rbrp=&quot;126&quot; style=&quot;border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhXW21YFfimHsHYQ7FrLIOBX_SsslIGyeRWPShljRrXsdQde0YyFTosEdLRyeTtHw2VWw6MLvBti_2pVnfy__ku5Rjql_Z-F7CkLhJsgtTGlQHoIbVnB48x9-nBZ1B-gA376y0uWA8CczVS/s1600/Capture.JPG&quot; imageanchor=&quot;1&quot; style=&quot;clear: left; cssfloat: left; float: left; margin-bottom: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;226&quot; naa=&quot;true&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhXW21YFfimHsHYQ7FrLIOBX_SsslIGyeRWPShljRrXsdQde0YyFTosEdLRyeTtHw2VWw6MLvBti_2pVnfy__ku5Rjql_Z-F7CkLhJsgtTGlQHoIbVnB48x9-nBZ1B-gA376y0uWA8CczVS/s320/Capture.JPG&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; closure_uid_76rbrp=&quot;118&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;span lang=&quot;EN-IN&quot;&gt;&amp;nbsp; &lt;stroke joinstyle=&quot;miter&quot;&gt;&lt;/stroke&gt;&lt;formulas&gt;&lt;f eqn=&quot;if lineDrawn pixelLineWidth 0&quot;&gt;&lt;/f&gt;&lt;f eqn=&quot;sum @0 1 0&quot;&gt;&lt;/f&gt;&lt;f eqn=&quot;sum 0 0 @1&quot;&gt;&lt;/f&gt;&lt;f eqn=&quot;prod @2 1 2&quot;&gt;&lt;/f&gt;&lt;f eqn=&quot;prod @3 21600 pixelWidth&quot;&gt;&lt;/f&gt;&lt;f eqn=&quot;prod @3 21600 pixelHeight&quot;&gt;&lt;/f&gt;&lt;f eqn=&quot;sum @0 0 1&quot;&gt;&lt;/f&gt;&lt;f eqn=&quot;prod @6 1 2&quot;&gt;&lt;/f&gt;&lt;f eqn=&quot;prod @7 21600 pixelWidth&quot;&gt;&lt;/f&gt;&lt;f eqn=&quot;sum @8 21600 0&quot;&gt;&lt;/f&gt;&lt;f eqn=&quot;prod @7 21600 pixelHeight&quot;&gt;&lt;/f&gt;&lt;f eqn=&quot;sum @10 21600 0&quot;&gt;&lt;/f&gt;&lt;/formulas&gt;&lt;path gradientshapeok=&quot;t&quot; o:connecttype=&quot;rect&quot; o:extrusionok=&quot;f&quot;&gt;&lt;/path&gt;&lt;lock aspectratio=&quot;t&quot; v:ext=&quot;edit&quot;&gt;&lt;/lock&gt;&lt;shape id=&quot;_x0000_s1026&quot; style=&quot;height: 170.55pt; margin-left: 82.5pt; margin-top: 141.75pt; position: absolute; width: 243pt; z-index: 251658240;&quot; type=&quot;#_x0000_t75&quot;&gt;&lt;imagedata o:title=&quot;galaxy&quot; src=&quot;file:///C:\Users\Adwait\AppData\Local\Temp\msohtmlclip1\01\clip_image001.png&quot;&gt;&lt;/imagedata&gt;&lt;wrap type=&quot;square&quot;&gt;&lt;/wrap&gt;&lt;/shape&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;shapetype coordsize=&quot;21600,21600&quot; filled=&quot;f&quot; id=&quot;_x0000_t75&quot; o:preferrelative=&quot;t&quot; o:spt=&quot;75&quot; path=&quot;m@4@5l@4@11@9@11@9@5xe&quot; stroked=&quot;f&quot;&gt;&lt;stroke joinstyle=&quot;miter&quot;&gt;&lt;/stroke&gt;&lt;formulas&gt;&lt;f eqn=&quot;if lineDrawn pixelLineWidth 0&quot;&gt;&lt;/f&gt;&lt;f eqn=&quot;sum @0 1 0&quot;&gt;&lt;/f&gt;&lt;f eqn=&quot;sum 0 0 @1&quot;&gt;&lt;/f&gt;&lt;f eqn=&quot;prod @2 1 2&quot;&gt;&lt;/f&gt;&lt;f eqn=&quot;prod @3 21600 pixelWidth&quot;&gt;&lt;/f&gt;&lt;f eqn=&quot;prod @3 21600 pixelHeight&quot;&gt;&lt;/f&gt;&lt;f eqn=&quot;sum @0 0 1&quot;&gt;&lt;/f&gt;&lt;f eqn=&quot;prod @6 1 2&quot;&gt;&lt;/f&gt;&lt;f eqn=&quot;prod @7 21600 pixelWidth&quot;&gt;&lt;/f&gt;&lt;f eqn=&quot;sum @8 21600 0&quot;&gt;&lt;/f&gt;&lt;f eqn=&quot;prod @7 21600 pixelHeight&quot;&gt;&lt;/f&gt;&lt;f eqn=&quot;sum @10 21600 0&quot;&gt;&lt;/f&gt;&lt;/formulas&gt;&lt;path gradientshapeok=&quot;t&quot; o:connecttype=&quot;rect&quot; o:extrusionok=&quot;f&quot;&gt;&lt;/path&gt;&lt;lock aspectratio=&quot;t&quot; v:ext=&quot;edit&quot;&gt;&lt;/lock&gt;&lt;/shapetype&gt;&lt;shape id=&quot;_x0000_s1026&quot; style=&quot;height: 170.55pt; margin-left: 0px; margin-top: 12pt; position: absolute; width: 243pt; z-index: 251657216;&quot; type=&quot;#_x0000_t75&quot;&gt;&lt;imagedata o:title=&quot;galaxy&quot; src=&quot;file:///C:\Users\Adwait\AppData\Local\Temp\msohtmlclip1\01\clip_image001.png&quot;&gt;&lt;/imagedata&gt;&lt;wrap type=&quot;square&quot;&gt;&lt;/wrap&gt;&lt;/shape&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;color: red;&quot;&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;color: red;&quot;&gt;From the very large &lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;span lang=&quot;EN-IN&quot;&gt;Sun-(heat and radiations)&lt;span style=&quot;color: red;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;span lang=&quot;EN-IN&quot;&gt;*How heat transferred from sun to earth?&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; closure_uid_76rbrp=&quot;93&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;shape id=&quot;_x0000_s1027&quot; style=&quot;height: 163.85pt; margin-left: 0px; margin-top: 0px; position: absolute; width: 234pt; z-index: 251658240;&quot; type=&quot;#_x0000_t75&quot;&gt;&lt;imagedata o:title=&quot;Capture&quot; src=&quot;file:///C:\Users\Adwait\AppData\Local\Temp\msohtmlclip1\01\clip_image003.jpg&quot;&gt;&lt;/imagedata&gt;&lt;wrap type=&quot;square&quot;&gt;&lt;/wrap&gt;&lt;/shape&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;color: red;&quot;&gt;To the very small&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;span lang=&quot;EN-IN&quot;&gt;All the things in the world consist of atom.&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;span lang=&quot;EN-IN&quot;&gt;Atom has Nucleus at centre, Electron revoles around nucleus, Nucleus has neutron and proton in it,ands neutron and proton have Quartz.&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;color: red;&quot;&gt;Atom&lt;/span&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;color: red; font-family: Wingdings; mso-ascii-font-family: &amp;quot;Times New Roman&amp;quot;; mso-char-type: symbol; mso-hansi-font-family: &amp;quot;Times New Roman&amp;quot;; mso-symbol-font-family: Wingdings;&quot;&gt;&lt;span style=&quot;mso-char-type: symbol; mso-symbol-font-family: Wingdings;&quot;&gt;à&lt;/span&gt;&lt;/span&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;color: red;&quot;&gt;electron and nucleus&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;color: red;&quot;&gt;Nucleus&lt;/span&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;color: red; font-family: Wingdings; mso-ascii-font-family: &amp;quot;Times New Roman&amp;quot;; mso-char-type: symbol; mso-hansi-font-family: &amp;quot;Times New Roman&amp;quot;; mso-symbol-font-family: Wingdings;&quot;&gt;&lt;span style=&quot;mso-char-type: symbol; mso-symbol-font-family: Wingdings;&quot;&gt;à&lt;/span&gt;&lt;/span&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;color: red;&quot;&gt;proton and neutron&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;color: red;&quot;&gt;Proton and neutron&lt;/span&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;color: red; font-family: Wingdings; mso-ascii-font-family: &amp;quot;Times New Roman&amp;quot;; mso-char-type: symbol; mso-hansi-font-family: &amp;quot;Times New Roman&amp;quot;; mso-symbol-font-family: Wingdings;&quot;&gt;&lt;span style=&quot;mso-char-type: symbol; mso-symbol-font-family: Wingdings;&quot;&gt;à&lt;/span&gt;&lt;/span&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;color: red;&quot;&gt;Quartz&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;color: red;&quot;&gt;And everything in between&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;span lang=&quot;EN-IN&quot;&gt;Solid&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;span lang=&quot;EN-IN&quot;&gt;Liquid&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;span lang=&quot;EN-IN&quot;&gt;Gas&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;b style=&quot;mso-bidi-font-weight: normal;&quot;&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;color: #3366ff;&quot;&gt;MAIN AREA IN PHYSICS&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;color: red;&quot;&gt;1.Classical mechanics&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;span lang=&quot;EN-IN&quot;&gt;(Related to momentum,force,energy and Credit goes to newton)&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;color: red;&quot;&gt;2.Electricty and magnetism&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;span lang=&quot;EN-IN&quot;&gt;(credit goes to james Clarke maxwell)&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;color: red;&quot;&gt;3.Thermal Physics&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;span lang=&quot;EN-IN&quot;&gt;(heat and radiation,related to temperature,entropy)&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;color: red;&quot;&gt;4.Quantum mechanics&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;span lang=&quot;EN-IN&quot;&gt;(Related to atom and atom surface)&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;</description><link>http://scraexam.blogspot.com/2011/08/physics-is-science-science-is-related.html</link><author>noreply@blogger.com (Unknown)</author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhXW21YFfimHsHYQ7FrLIOBX_SsslIGyeRWPShljRrXsdQde0YyFTosEdLRyeTtHw2VWw6MLvBti_2pVnfy__ku5Rjql_Z-F7CkLhJsgtTGlQHoIbVnB48x9-nBZ1B-gA376y0uWA8CczVS/s72-c/Capture.JPG" height="72" width="72"/><thr:total>0</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6231931743906059601.post-6387624299748107106</guid><pubDate>Wed, 10 Aug 2011 07:15:00 +0000</pubDate><atom:updated>2011-08-10T00:15:02.140-07:00</atom:updated><title>MEASUREMENT AND KINEMATICS</title><description>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;div class=&quot;MsoNormal&quot; closure_uid_gukvg7=&quot;103&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;span closure_uid_gukvg7=&quot;104&quot; lang=&quot;EN-IN&quot; style=&quot;font-family: &amp;quot;Arial Black&amp;quot;, &amp;quot;sans-serif&amp;quot;; font-size: 18pt;&quot;&gt;&lt;span closure_uid_gukvg7=&quot;110&quot; style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp; &lt;/span&gt;MEASUREMENT AND KINEMATICS&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; closure_uid_gukvg7=&quot;111&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 11pt;&quot;&gt;Physical Quantity = (numerical value)*(Units)&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 11pt;&quot;&gt;TYPES OF UNIT&lt;br /&gt;
FUNDAMENTAL UNIT- independent of any other units&lt;br /&gt;
Example-length (metre) &lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 11pt;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;Mass(kilogram)&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 11pt;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;Time(second)&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 11pt;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;Temperature(Kelvin)&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 11pt;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;Current(Ampere) etc.&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 11pt;&quot;&gt;DERIVED UNIT –Depend on any other units&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 11pt;&quot;&gt;Example-speed&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 11pt;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;Energy&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 11pt;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;Acceleration&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 11pt;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 11pt;&quot;&gt;*1kg=1000 cm&lt;sup&gt;3&lt;/sup&gt; &lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;span lang=&quot;EN-IN&quot; style=&quot;font-size: 11pt;&quot;&gt;Radian = 360&lt;sup&gt;0&lt;/sup&gt;/2ӆ&lt;sup&gt;&lt;/sup&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin: 0in 0in 0pt;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;/div&gt;</description><link>http://scraexam.blogspot.com/2011/08/measurement-and-kinematics.html</link><author>noreply@blogger.com (Unknown)</author><thr:total>0</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6231931743906059601.post-2958791513522299287</guid><pubDate>Mon, 11 Jul 2011 03:56:00 +0000</pubDate><atom:updated>2011-07-10T20:56:14.813-07:00</atom:updated><title>Crops</title><description>&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/AVvXsEhKJcy4CecKSZYUkV1bLFUOnXF21x8C0Tb_W6XTZNiT5SkqXc9Oj_Ob4UKUBdjxCn0H1xQTj6sS_pzjhqPVWVW85Avh6rmebyKexEX6cvJHQcJZTgAWP24IKEvXMrsO9it-88pqC_oT2_C5/s1600/Crops.jpg&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; height=&quot;240&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhKJcy4CecKSZYUkV1bLFUOnXF21x8C0Tb_W6XTZNiT5SkqXc9Oj_Ob4UKUBdjxCn0H1xQTj6sS_pzjhqPVWVW85Avh6rmebyKexEX6cvJHQcJZTgAWP24IKEvXMrsO9it-88pqC_oT2_C5/s320/Crops.jpg&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Bajra (millets): &lt;/span&gt;&lt;span style=&quot;font-style: italic;&quot;&gt;Maharashtra, &lt;/span&gt;Tamil Nadu, Punjab, Andhra Pradesh and Rajasthan.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Barley: &lt;/span&gt;&lt;span style=&quot;font-style: italic;&quot;&gt;U.P.,&lt;/span&gt; Bihar, Haryana. Its cultivation requires cool climate.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Cardamom: &lt;/span&gt;Karnataka.&lt;span style=&quot;font-style: italic;&quot;&gt; India is the largest producer of cardamom in the world&lt;/span&gt;.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Cashewnut: &lt;/span&gt;Kerala.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Cinchona:&lt;/span&gt; &lt;span style=&quot;font-style: italic;&quot;&gt;Tamil Nadu&lt;/span&gt; (Nilgiri Hills); West Bengal (Darjeeling).&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Coconut:&lt;/span&gt; Kerala is the leading producer of coconut in India. A coconut tree normally yield 60-70 nuts in a year.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Coffee:&lt;/span&gt; &lt;span style=&quot;font-style: italic;&quot;&gt;Karnataka,&lt;/span&gt; Tamil Nadu (Nilgiri Hills) and Kerala. &lt;span style=&quot;font-style: italic;&quot;&gt;It is a tropical shrub.&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Cotton:&lt;/span&gt; &lt;span style=&quot;font-weight: bold;&quot;&gt;Gujarat,&lt;/span&gt; Madhya Pradesh, Tamil Nadu, Punjab and Maharashtra.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Cotton Seeds: &lt;/span&gt;&lt;span style=&quot;font-style: italic;&quot;&gt;Maharashtra&lt;/span&gt;, Punjab, Madhya Pradesh, Andhra Pradesh and Tamil Nadu.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Gram and Pulses: &lt;/span&gt;&lt;span style=&quot;font-style: italic;&quot;&gt;U.P.,&lt;/span&gt; Madhya Pradesh, Haryana, Punjab, Maharashtra and Karnataka.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Groundnut: &lt;/span&gt;&lt;span style=&quot;font-style: italic;&quot;&gt;Gujarat, &lt;/span&gt;Madhya Pradesh and Andhra Pradesh.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Hemp:&lt;/span&gt; &lt;span style=&quot;font-style: italic;&quot;&gt;Maharashtra,&lt;/span&gt; Madhya Pradesh and U.P.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Jute: &lt;/span&gt;&lt;span style=&quot;font-style: italic;&quot;&gt;Assam,&lt;/span&gt; West Bengal, Bihar and Orissa.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Linseed: &lt;/span&gt;&lt;span style=&quot;font-style: italic;&quot;&gt;Madhya Pradesh, &lt;/span&gt;Bihar, Orissa, U.P.,&amp;nbsp; Maharashtra and West Bengal.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Maize: &lt;/span&gt;&lt;span style=&quot;font-style: italic;&quot;&gt;U.P.,&lt;/span&gt; Bihar and the Punjab.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Mustard and Rape-seed (Sarson): &lt;/span&gt;&lt;span style=&quot;font-style: italic;&quot;&gt;U.P., &lt;/span&gt;West Bengal, Punjab, Bihar and Orissa.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Poppy (opium plant): &lt;/span&gt;&lt;span style=&quot;font-style: italic;&quot;&gt;U.P.,&lt;/span&gt; Madhya Pradesh, Punjab, Himachal Pradesh, Jammu and Kashmir.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Rice: &lt;/span&gt;&lt;span style=&quot;font-style: italic;&quot;&gt;Andhra Pradesh, &lt;/span&gt;West Bengal, Madhya Pradesh, Bihar, Tamil Nadu and Orissa. &lt;span style=&quot;font-style: italic;&quot;&gt;Rice is sown on the largest acreage in India.&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Rubber: &lt;/span&gt;&lt;span style=&quot;font-style: italic;&quot;&gt;Kerala, &lt;/span&gt;Tamil Nadu, Karnataka.&lt;br /&gt;
&lt;span style=&quot;font-style: italic;&quot;&gt;Saffron: &lt;/span&gt;Jammu and Kashmir. &lt;span style=&quot;font-style: italic;&quot;&gt;It is obtained from the stigma of the saffron plant.&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Silk:&lt;/span&gt; &lt;span style=&quot;font-weight: bold;&quot;&gt;Karnataka,&lt;/span&gt; Jammu &amp;amp; Kashmir, West Bengal and Assam.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Spices: &lt;span style=&quot;font-style: italic;&quot;&gt;Pepper&lt;/span&gt;&lt;/span&gt; in &lt;span style=&quot;font-style: italic;&quot;&gt;Kerala &lt;/span&gt;and West Bengal; &lt;span style=&quot;font-style: italic; font-weight: bold;&quot;&gt;Chillies&lt;/span&gt; in &lt;span style=&quot;font-style: italic;&quot;&gt;West Bengal&lt;/span&gt;, Tamil Nadu and Maharashtra; &lt;span style=&quot;font-style: italic; font-weight: bold;&quot;&gt;Cardamom&lt;/span&gt; in &lt;span style=&quot;font-style: italic;&quot;&gt;Karnataka &lt;/span&gt;and Tamil Nadu; &lt;span style=&quot;font-style: italic; font-weight: bold;&quot;&gt;Betelnuts&lt;/span&gt; in &lt;span style=&quot;font-style: italic;&quot;&gt;West Bengal&lt;/span&gt; and South India.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Sugarcane:&lt;/span&gt; &lt;span style=&quot;font-style: italic;&quot;&gt;U.P., &lt;/span&gt;Bihar, West Bengal, Punjab and Maharashtra.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Tea: &lt;/span&gt;&lt;span style=&quot;font-style: italic;&quot;&gt;Assam, &lt;/span&gt;West Bengal, Kerala and Tamil Nadu (Nilgiri Hills), Uttarkhand (Dehradun)&amp;nbsp; and Himachal Pradesh (Kangra Hills).&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Tobacco: &lt;/span&gt;&lt;span style=&quot;font-style: italic;&quot;&gt;Andhra Pradesh&lt;/span&gt;, Bihar, U.P., West Bengal, Maharashtra, Tamil Nadu and Karnataka.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Wheat: &lt;/span&gt;&lt;span style=&quot;font-style: italic;&quot;&gt;U.P.,&lt;/span&gt; Punjab, Haryana and Madhya Pradesh. To some extent in Bihar, Rajasthan and Maharashtra. &lt;span style=&quot;font-style: italic;&quot;&gt;It is sown in October-November and reaped in &lt;/span&gt;&lt;span style=&quot;font-style: italic;&quot;&gt;April.&lt;/span&gt;&lt;br /&gt;
&lt;br style=&quot;color: #674ea7;&quot; /&gt;        &lt;span style=&quot;color: #674ea7; font-weight: bold;&quot;&gt;Kharif and Rabi Crops&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Kharif Crops:&amp;nbsp;&lt;/span&gt; raised in autumn in June-July. These are cotton, rice, maize and millets.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Rabi Crops: &lt;/span&gt;are winter crops in October and November and reaped in April. These are wheat, gram, linseed and mustard.&lt;br /&gt;
&lt;br style=&quot;color: #674ea7;&quot; /&gt;        &lt;span style=&quot;color: #674ea7; font-weight: bold;&quot;&gt;Favourable climate and soil conditions &lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Wheat:&lt;/span&gt; Its plant requires a cool climate in the beginning, warm and dry weather at the time of harvesting and rainfall at intervals—between 20’’ to 30’’. A clayey soil is very favourable.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Barley: &lt;/span&gt;cool climate and a soil poorer than that required for wheat.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Rice: &lt;/span&gt;hot and moist climate with rainfall from 40’’ to 80’’ or over and rich soil. The plant is required to remain under water for several days in the beginning. A marshy soil is very suitable.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Sugarcane: &lt;/span&gt;an evenly high temperature with sufficient rainfall—about 40’’. It needs a fertile soil, having lime and salt in it.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Tobacco: &lt;/span&gt;hot and moist climate; rich soil.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Spices: &lt;/span&gt;&lt;span style=&quot;font-style: italic;&quot;&gt;(pepper, cinnamon, cardamom, cloves, nutmegs)&lt;/span&gt; hot, moist and even climate.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Opium: &lt;/span&gt;It requires hot and moist climate with a rich soil.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Maize:&lt;/span&gt; warm and moist (but not very moist) climate.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Cotton:&lt;/span&gt; It requires warm, moist and even climate where summer is long and where the soil contains salt. Sea-breeze is beneficial for quality of the fibre. The ideal situation for plantation is lowlands near the sea coast or on islands in semi-tropical latitudes.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Jute: &lt;/span&gt;It requires a high temperature with a minimum of about 80°F during the period of growth. It also needs rich sandy soil, sufficient rainfall well distributed over the period of growth, ample supply of water for soaking of plants and for washing the stripped fibre. It also needs suitable and sufficient labour to handle the crop at the proper time.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Rubber:&lt;/span&gt; The plantation of rubber trees is better adapted to areas where the climate is warm and humid.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Tea:&lt;/span&gt; &lt;span style=&quot;font-style: italic;&quot;&gt;(Tea is dried leaves of an evergreen shrub).&lt;/span&gt; It requires warm and moist climate. It is grown on mountain slopes. At least 60’’ annual rainfall in showers is needed for the new leaves to sprout. If water is allowed to stay, the roots are destroyed. So mountain slopes on which water does not accumulate are necessary. Soil containing iron is an additional advantage.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Coffee: &lt;/span&gt;requires warm and moist climate and a height between 457 metres and 762 metres—rainfall above 60’’. The plant cannot stand extreme cold. When young, the plant is required to be protected from strong sunshine.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Millets:&lt;/span&gt; &lt;span style=&quot;font-style: italic;&quot;&gt;(Jawar and Bajra)&lt;/span&gt; require a hot and sufficiently dry climate and poor soil.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Groundnuts: &lt;/span&gt;require a hot climate and moderate rainfall 29’’ to 40’’. Soil should be light and sandy.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Oilseeds:&lt;/span&gt; require hot and moist climate and a rich soil.&lt;br /&gt;
&lt;br /&gt;
&lt;span style=&quot;color: #674ea7; font-weight: bold;&quot;&gt;Diseases of Crops&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Black heart:&lt;/span&gt; Potatoes&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Kernel bunt: &lt;/span&gt;Wheat&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Powdery Mildew: &lt;/span&gt;Peas&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Red Rot: &lt;/span&gt;Sugarcane&lt;br /&gt;
&lt;br /&gt;
&lt;span style=&quot;color: #674ea7; font-weight: bold;&quot;&gt;Fertilizers&lt;/span&gt;&lt;br /&gt;
Fertilizers normally contain three main ingredients namely nitrogen, phosphorus and potassium.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Nitrogen:&lt;/span&gt; imports a healthy green colour to the leaves.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Phosphorus: &lt;/span&gt;hastens leaf development and promotes root growth.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Potassium: &lt;/span&gt;plays an essential part in the formation of starch.&lt;br /&gt;
&lt;br style=&quot;color: #674ea7;&quot; /&gt;        &lt;span style=&quot;color: #674ea7; font-weight: bold;&quot;&gt;Mineral Resources of India&lt;/span&gt;&lt;br /&gt;
India possesses huge mineral wealth but it is not much exploited. Coal, gold, mica, building materials, salt, petroleum, manganese ore, iron ore, copper ore and ilmenite are produced in quantities to be of real importance to industry and other sectors of economy. Out of these, mica, manganese ore and ilmenite are largely exported. India has, however, adequate resources of industrial clay, steatite, bauxite, chromite, titanium ore etc.&lt;br /&gt;
&lt;br /&gt;
&lt;span style=&quot;color: #674ea7; font-weight: bold;&quot;&gt;Minerals—Where Found&lt;/span&gt;&lt;span style=&quot;color: #674ea7;&quot;&gt; (First)&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-style: italic;&quot;&gt;&lt;/span&gt;&lt;span style=&quot;font-weight: bold;&quot;&gt;Aluminium: &lt;/span&gt;Kerala. It is extracted from Bauxite.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Antimony:&lt;/span&gt; Antimony deposits are found in the &lt;span style=&quot;font-style: italic;&quot;&gt;Punjab&lt;/span&gt; and Karnataka.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Asbestos: &lt;/span&gt;&lt;span style=&quot;font-style: italic;&quot;&gt;Karnataka&lt;/span&gt; and Rajasthan.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Barytes: &lt;/span&gt;(Barium Sulphate) &lt;span style=&quot;font-style: italic;&quot;&gt;Tamil Nadu,&lt;/span&gt; Andhra Pradesh, Manbhum and Singhbhum districts of Jharkhand.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Bantonite:&lt;/span&gt; &lt;span style=&quot;font-style: italic;&quot;&gt;Rajasthan&lt;/span&gt; and Jammu and Kashmir.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Bauxite: &lt;/span&gt;Ranchi and Palamau districts of &lt;span style=&quot;font-style: italic;&quot;&gt;Jharkhand&lt;/span&gt;, Belgaum, Kharia and Thana districts of Maharashtra; Balaghat, Jabalpur, Mandia and Bilaspur districts of Madhya Pradesh.&lt;span style=&quot;font-style: italic;&quot;&gt; It is an ore of aluminium.&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Beryllium Sands: &lt;/span&gt;R&lt;span style=&quot;font-style: italic;&quot;&gt;ajasthan, &lt;/span&gt;Tamil Nadu, Kashmir and Bihar.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Cement:&lt;/span&gt; Katni in &lt;span style=&quot;font-style: italic;&quot;&gt;M.P., &lt;/span&gt;Lakheri in Rajasthan, Jabalpur (M.P.), Guntur (Andhra Pradesh), Jhinkapani (Singhbhum district of Jharkhand), Surajpur (Haryana).&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;China Clay: &lt;/span&gt;Rajmahal Hills, Singhbhum district of &lt;span style=&quot;font-style: italic;&quot;&gt;Bihar,&lt;/span&gt; Kerala.&lt;br /&gt;
&lt;span style=&quot;font-style: italic;&quot;&gt;Chromite: &lt;/span&gt;Singhbhum and Bhagalpur &lt;span style=&quot;font-style: italic;&quot;&gt;(Jharkhand)&lt;/span&gt;; Ratnagiri, Salem (Tamil Nadu); Karnataka; Keonjhar (Orissa); Ladakh (Kashmir).&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Coal: &lt;/span&gt;Raniganj &lt;span style=&quot;font-weight: bold;&quot;&gt;(West Bengal);&lt;/span&gt; Jharia, Giridih, Karanpur (Bihar); Bokaro, (Jharkhand) Panch Valley and Chanda (M.P.); Singareni (Andhra Pradesh) and Mukum (Assam).&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Cobalt: &lt;/span&gt;R&lt;span style=&quot;font-style: italic;&quot;&gt;ajasthan &lt;/span&gt;and Kerala.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Copper: &lt;/span&gt;J&lt;span style=&quot;font-style: italic;&quot;&gt;harkhand&lt;/span&gt; (Singhbhum and Barajamda); Rajasthan (Khetri).&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Corborundum:&lt;/span&gt; Khasi Hills&lt;span style=&quot;font-style: italic;&quot;&gt; (Assam);&lt;/span&gt; Rewa (M.P.); Salem (Tamil Nadu); Karnataka and Jammu &amp;amp; Kashmir.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Diamond: &lt;/span&gt;Diamond mines are found in Panna district of &lt;span style=&quot;font-style: italic;&quot;&gt;Madhya Pradesh&lt;/span&gt;.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Feldspar:&lt;/span&gt; Burdwan &lt;span style=&quot;font-style: italic;&quot;&gt;(West Bengal); &lt;/span&gt;Rewa (M.P.); Tiruchirapalli (Tamil Nadu); Alwar and Ajmer (Rajasthan).&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Fuller’s Earth: &lt;/span&gt;(soft clay used in soap-making) is found in &lt;span style=&quot;font-style: italic;&quot;&gt;Rajasthan,&lt;/span&gt; M.P. and Karnataka.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Gold:&lt;/span&gt; Kolar gold-fields &lt;span style=&quot;font-style: italic;&quot;&gt;(Karnataka).&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Graphite: Rajasthan, &lt;/span&gt;Andhra Pradesh, Madhya Pradesh, Tamil Nadu, Karnataka, Orissa and Kerala.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Gypsum:&lt;/span&gt; Bikaner and Jodhpur &lt;span style=&quot;font-style: italic;&quot;&gt;(Rajasthan)&lt;/span&gt;, Tiruchirapalli (Tamil Nadu), Gujarat and Himachal Pradesh.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Heavy Water:&lt;/span&gt; Talchar in &lt;span style=&quot;font-style: italic;&quot;&gt;Orissa;&lt;/span&gt; Kota in Rajasthan; Baroda in Gujarat; Tuticorin in Tamil Nadu; Nangal in Punjab.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Ilmenite: &lt;/span&gt;Kerala. Occurs in the “Bank Sands” of the beaches near Quilon.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Iron Ore: &lt;/span&gt;Singhbhum &lt;span style=&quot;font-style: italic;&quot;&gt;(Jharkhand)&lt;/span&gt;, Keonjhar and&amp;nbsp; Mayurbhanj (Orissa).&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Kaynite: &lt;/span&gt;largest deposits occur at Kharswan near Jamshedpur, Singhbhum &lt;span style=&quot;font-style: italic;&quot;&gt;(Bihar).&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Lac: &lt;/span&gt;W. Bengal.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Lead: &lt;/span&gt;Zawar in Udaipur and at the Banjavi mines in Jaipur (Rajasthan).&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Lignite:&lt;/span&gt; Neyveli in South Arcot district (Tamil Nadu).&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Limestone: &lt;/span&gt;Singareni and Singhbhum &lt;span style=&quot;font-style: italic;&quot;&gt;(Jharkhand), &lt;/span&gt;Panchmahal (Gujarat), Balaghat, Bhandara, Chhindwara, Nagpur, Indore, Vishakhapatnam, Sandur (Tamil Nadu).&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Manganese:&lt;/span&gt; Madhya Pradesh.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Marble: &lt;/span&gt;Jaipur (Rajasthan).&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Mica: &lt;/span&gt;Koderma in Hazaribagh district, Monghyr &lt;span style=&quot;font-style: italic;&quot;&gt;(Bihar)&lt;/span&gt;, Nellore in Andhra Pradesh.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Monazite Sands: &lt;/span&gt;are found in abundance in Travancore coast (Kerala State). Thorium is processed from Monazite sands.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Nitre: &lt;/span&gt;&lt;span style=&quot;font-style: italic;&quot;&gt;Bihar,&lt;/span&gt; U.P., Tamil Nadu and Punjab.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Petroleum: &lt;/span&gt;Digboi, Badarpur, Musimpur and Patharia fields of &lt;span style=&quot;font-style: italic;&quot;&gt;Assam,&lt;/span&gt; Cambay basin near Baroda where oilfields have been discovered and production has started. Large-scale drilling for oil is in progress in India in Bombay and Gujarat.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Pitchblende:&lt;/span&gt; Gaya (Bihar).&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Red Stone: &lt;/span&gt;Jodhpur (Rajasthan).&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Salt: &lt;/span&gt;Sambhar Lake (Rajasthan), and is also obtained from ocean water of Ranns of Kutch, on the north-western and south-eastern littoral (sea-shore) of India.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Saltpetre:&lt;/span&gt; &lt;span style=&quot;font-style: italic;&quot;&gt;Punjab, &lt;/span&gt;U.P. and Bihar.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Silmanite:&lt;/span&gt; Khasi Hills &lt;span style=&quot;font-style: italic;&quot;&gt;(Assam);&lt;/span&gt; Rewa (&lt;span id=&quot;divctl00$ContentPlaceHolder1$sdes&quot;&gt;&lt;/span&gt;M.P.). &lt;span style=&quot;font-style: italic;&quot;&gt;Silmanite is used in the manufacture of furnace-lining in iron and steel industry. It is also used in glass and ceramic industry.&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Silver:&lt;/span&gt; &lt;span style=&quot;font-style: italic;&quot;&gt;Karnataka;&lt;/span&gt; Singhbhum and Manbhum (Jharkhand); Tamil Nadu and Rajasthan.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Steatite: &lt;/span&gt;Guntur &lt;span style=&quot;font-style: italic;&quot;&gt;(Andhra Pradesh),&lt;/span&gt; Bihar, Madhya Pradesh, U.P., Karnataka and Rajasthan.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Tin: &lt;/span&gt;(Bihar) Hazaribagh district.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Thorium:&lt;/span&gt; (Processed from monazite sand) Travancore (Kerala).&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Tungsten:&lt;/span&gt; &lt;span style=&quot;font-style: italic;&quot;&gt;Bihar,&lt;/span&gt; Nagpur (Maharashtra) and Marwar.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Uranium:&lt;/span&gt; Bihar.&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Zinc: &lt;/span&gt;from Zawar mines in Udaipur (Rajasthan).&lt;br /&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Zircon:&lt;/span&gt; occurs in the beach sands of Kerala and Cape Comorin.&lt;br /&gt;
&lt;br /&gt;
&lt;span style=&quot;font-style: italic;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;</description><link>http://scraexam.blogspot.com/2011/07/crops.html</link><author>noreply@blogger.com (Unknown)</author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhKJcy4CecKSZYUkV1bLFUOnXF21x8C0Tb_W6XTZNiT5SkqXc9Oj_Ob4UKUBdjxCn0H1xQTj6sS_pzjhqPVWVW85Avh6rmebyKexEX6cvJHQcJZTgAWP24IKEvXMrsO9it-88pqC_oT2_C5/s72-c/Crops.jpg" height="72" width="72"/><thr:total>0</thr:total></item></channel></rss>