<?xml version='1.0' encoding='UTF-8'?><?xml-stylesheet href="http://www.blogger.com/styles/atom.css" type="text/css"?><feed xmlns='http://www.w3.org/2005/Atom' xmlns:openSearch='http://a9.com/-/spec/opensearchrss/1.0/' xmlns:blogger='http://schemas.google.com/blogger/2008' xmlns:georss='http://www.georss.org/georss' xmlns:gd="http://schemas.google.com/g/2005" xmlns:thr='http://purl.org/syndication/thread/1.0'><id>tag:blogger.com,1999:blog-3172376283061609300</id><updated>2026-11-13T01:53:27.035+05:30</updated><category term="Math Questions"/><category term="Class 10"/><category term="Class 9"/><category term="Class 11"/><category term="Physics Question"/><category term="Class 12"/><category term="class 8"/><category term="IITJEE"/><category term="Trigonometry"/><category term="Class 7"/><category term="Quadratic Equation"/><category term="Circle"/><category term="Ratio and Proportion"/><category term="linear equation"/><category term="Triangle"/><category term="class 6"/><category term="Electrical Engineering"/><category term="Electricity"/><category term="Integral_Calculus"/><category term="Exponent"/><category term="Physics"/><category term="Mathematics"/><category term="Compound Interest"/><category term="AP"/><category term="Limit"/><category term="Derivative"/><category term="class 5"/><category term="Area Theorems"/><category term="Logarithms"/><category term="Shares"/><category term="Similarity"/><category term="Math Tricks"/><category term="Pythagoras Theorem"/><category term="Factorisation"/><category term="Light"/><category term="Math Theorems"/><category term="Percentage"/><category term="Surface area and Volume"/><category term="linear Inequation"/><category term="Co-ordinate Geomatry"/><category term="Complex Number"/><category term="Equation of Line"/><category term="FORCE"/><category term="Inverse Trigonometry"/><category term="Midpoint Theorem"/><category term="blog"/><category term="Application of derivative"/><category term="Mensuration"/><category term="Electric_Potential_Capacitance"/><category term="Profit &amp; Loss"/><category term="vector"/><category term="work-energy-power"/><category term="Inequalities"/><category term="Matrix"/><category term="Area and Perimeter of Plane Figures"/><category term="GST"/><category term="Height ans Distance"/><category term="Projectile Motion"/><category term="Sound"/><category term="Binomial"/><category term="Continuity and Differentiability"/><category term="Expansion"/><category term="Probability"/><category term="Section and Midpoint"/><category term="3D"/><category term="Calorimetry"/><category term="Electric_charge_Field"/><category term="Parabola"/><category term="Special type of Quadrilateral"/><category term="Tangent"/><category term="Banking"/><category term="Differential Equation"/><category term="Machine"/><category term="NLM"/><category term="Android Tips And Tricks"/><category term="Capacitance"/><category term="Chemistry"/><category term="Moving_charge_Magnetism"/><category term="Rational Irrational Number"/><category term="Ray Optics"/><category term="Rectilinear Figures"/><category term="Relation Function"/><category term="Rolle&#39;s Theorem"/><category term="Series"/><category term="Android app"/><category term="Circular_Motion"/><category term="GP"/><category term="Remainder_Factor"/><category term="Rotational-motion"/><category term="Transformer"/><category term="Board Question"/><category term="Gas Law"/><category term="Information"/><category term="KTG"/><category term="Math HISTORY"/><category term="Thermodynamics"/><category term="Application of Integral"/><category term="Binary_Operation"/><category term="Computer Science"/><category term="Determinant"/><category term="Engineering Mathematics"/><category term="Hyperbola"/><category term="Induction"/><category term="NUMBER SYSTEM"/><category term="Polygon"/><category term="Resistance"/><category term="SHM"/><category term="Statistics"/><category term="Auto transformer"/><category term="Battery"/><category term="COM"/><category term="EMW"/><category term="Lightning"/><category term="Quiz"/><category term="ellipse"/><title type='text'>Update ANS</title><subtitle type='html'>In this blog you will find class 6 to 12, IIT, NEET MATH &amp;amp; PHYSICS question and answer and also some articles about Science Engineering and Technology </subtitle><link rel='http://schemas.google.com/g/2005#feed' type='application/atom+xml' href='http://www.updateans.com/feeds/posts/default'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default?redirect=false'/><link rel='alternate' type='text/html' href='http://www.updateans.com/'/><link rel='hub' href='http://pubsubhubbub.appspot.com/'/><link rel='next' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default?start-index=26&amp;max-results=25&amp;redirect=false'/><author><name>ANS</name><uri>http://www.blogger.com/profile/01097653302417848438</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='24' height='32' src='//blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgO9frEzsqifivIEIigaZPjivXEGfEkLLnsAcfEVVAbQ-uZIWWcJZVg6w-SlaWP6MDF8Ab5kkLXg-niEy3gl1JfedAw12mmDlfTw10CgLAxwm_MRWJqND_mGLKoGPRsAw/s113/IMG_20200225_071338.jpg'/></author><generator version='7.00' uri='http://www.blogger.com'>Blogger</generator><openSearch:totalResults>1602</openSearch:totalResults><openSearch:startIndex>1</openSearch:startIndex><openSearch:itemsPerPage>25</openSearch:itemsPerPage><entry><id>tag:blogger.com,1999:blog-3172376283061609300.post-8174686703254095501</id><published>2026-11-13T01:53:27.032+05:30</published><updated>2026-11-13T01:53:27.035+05:30</updated><title type='text'>A path of uniform width, 3 m, runs around the outside of a square field of side 21 m. Find the area of the path.</title><content type='html'>&lt;p&gt;&amp;nbsp;&lt;/p&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/AVvXsEj4oNVcxyHDHp33Sp7ALLKFY45sgZIfY81G086DDZwZmPNjOBBmkjpw0ChwG5_IZIVocwqg6gzetQ18-uK3dEuu3w7hvfNs7yEnUcRVxi6mFo3Sz8RFFntcrbDLT3pMP9C-XO0m38jZ2f2YiF9zco7ASs-p-Vf5hJ1gW7HC-LvyLhYySpyAviML3YpUchc/s2163/IMG_20261113_015238.jpg&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; data-original-height=&quot;1825&quot; data-original-width=&quot;2163&quot; height=&quot;540&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj4oNVcxyHDHp33Sp7ALLKFY45sgZIfY81G086DDZwZmPNjOBBmkjpw0ChwG5_IZIVocwqg6gzetQ18-uK3dEuu3w7hvfNs7yEnUcRVxi6mFo3Sz8RFFntcrbDLT3pMP9C-XO0m38jZ2f2YiF9zco7ASs-p-Vf5hJ1gW7HC-LvyLhYySpyAviML3YpUchc/w640-h540/IMG_20261113_015238.jpg&quot; width=&quot;640&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&lt;p&gt;&lt;/p&gt;</content><link rel='replies' type='application/atom+xml' href='http://www.updateans.com/feeds/8174686703254095501/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://www.updateans.com/2026/11/a-path-of-uniform-width-3-m-runs-around.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/8174686703254095501'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/8174686703254095501'/><link rel='alternate' type='text/html' href='http://www.updateans.com/2026/11/a-path-of-uniform-width-3-m-runs-around.html' title='A path of uniform width, 3 m, runs around the outside of a square field of side 21 m. Find the area of the path.'/><author><name>ANS</name><uri>http://www.blogger.com/profile/01097653302417848438</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='24' height='32' src='//blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgO9frEzsqifivIEIigaZPjivXEGfEkLLnsAcfEVVAbQ-uZIWWcJZVg6w-SlaWP6MDF8Ab5kkLXg-niEy3gl1JfedAw12mmDlfTw10CgLAxwm_MRWJqND_mGLKoGPRsAw/s113/IMG_20200225_071338.jpg'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj4oNVcxyHDHp33Sp7ALLKFY45sgZIfY81G086DDZwZmPNjOBBmkjpw0ChwG5_IZIVocwqg6gzetQ18-uK3dEuu3w7hvfNs7yEnUcRVxi6mFo3Sz8RFFntcrbDLT3pMP9C-XO0m38jZ2f2YiF9zco7ASs-p-Vf5hJ1gW7HC-LvyLhYySpyAviML3YpUchc/s72-w640-h540-c/IMG_20261113_015238.jpg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3172376283061609300.post-8527696850192692719</id><published>2026-11-13T01:47:45.369+05:30</published><updated>2026-11-13T01:47:45.369+05:30</updated><title type='text'>The digit of two digit number differ by 3 if the digit are interchange in the resulting number is added to the original number the result is 143 find the original number</title><content type='html'>&lt;p&gt;&amp;nbsp;&lt;/p&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/AVvXsEhxnzTNzNM6jw__XwHxDQtEvPTHD3_qhC3-9tohprLd6fx7KVYzM70bNvmC6JtYigGnp4H49S0MUtY0ah61s4BrcshYU8w0sFeCd9Xdbt29VQFckAergiw0102fvun5ydWsHZ9FTtmYXaDSY-QdDVV0izhcpugHIHEujvIV8j8sNcvLMpunYIlfRwaft6w/s3605/IMG_20261113_014651.jpg&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; data-original-height=&quot;3605&quot; data-original-width=&quot;2660&quot; height=&quot;640&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhxnzTNzNM6jw__XwHxDQtEvPTHD3_qhC3-9tohprLd6fx7KVYzM70bNvmC6JtYigGnp4H49S0MUtY0ah61s4BrcshYU8w0sFeCd9Xdbt29VQFckAergiw0102fvun5ydWsHZ9FTtmYXaDSY-QdDVV0izhcpugHIHEujvIV8j8sNcvLMpunYIlfRwaft6w/w472-h640/IMG_20261113_014651.jpg&quot; width=&quot;472&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&lt;p&gt;&lt;/p&gt;</content><link rel='replies' type='application/atom+xml' href='http://www.updateans.com/feeds/8527696850192692719/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://www.updateans.com/2026/11/the-digit-of-two-digit-number-differ-by.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/8527696850192692719'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/8527696850192692719'/><link rel='alternate' type='text/html' href='http://www.updateans.com/2026/11/the-digit-of-two-digit-number-differ-by.html' title='The digit of two digit number differ by 3 if the digit are interchange in the resulting number is added to the original number the result is 143 find the original number'/><author><name>ANS</name><uri>http://www.blogger.com/profile/01097653302417848438</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='24' height='32' src='//blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgO9frEzsqifivIEIigaZPjivXEGfEkLLnsAcfEVVAbQ-uZIWWcJZVg6w-SlaWP6MDF8Ab5kkLXg-niEy3gl1JfedAw12mmDlfTw10CgLAxwm_MRWJqND_mGLKoGPRsAw/s113/IMG_20200225_071338.jpg'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhxnzTNzNM6jw__XwHxDQtEvPTHD3_qhC3-9tohprLd6fx7KVYzM70bNvmC6JtYigGnp4H49S0MUtY0ah61s4BrcshYU8w0sFeCd9Xdbt29VQFckAergiw0102fvun5ydWsHZ9FTtmYXaDSY-QdDVV0izhcpugHIHEujvIV8j8sNcvLMpunYIlfRwaft6w/s72-w472-h640-c/IMG_20261113_014651.jpg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3172376283061609300.post-4880395836826453160</id><published>2026-11-11T16:12:17.891+05:30</published><updated>2026-11-11T16:12:17.891+05:30</updated><category scheme="http://www.blogger.com/atom/ns#" term="Area and Perimeter of Plane Figures"/><category scheme="http://www.blogger.com/atom/ns#" term="Class 7"/><title type='text'>From Each corner of a rectangular paper (30 cm x 20 cm) a quadrant of a circle of radius 7 cm is cut. Find the area of the remaining paper i.e. the shaded portion. class 7 </title><content type='html'>&lt;p&gt;&amp;nbsp;&lt;/p&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/AVvXsEgpegWXseS4dhHQVJjB2bFdjVFbFYsp4cXm2b8gxWy0zi4-EKX5j8J3tZ-YQGJ35_Qk5yfKNW9iYTp1LSj5I5ISOAyBFetKzw_XRA4Eir5g4EjT2LxEDQZwlgIG4kEuMpVOZc2BODdqv_H_KQxylmcN03SLI5uEQTwcd9Eu3oJLNMPMCZ27nuaWFRuVvAA/s1280/class%207%20sayantika.jpeg&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;From Each corner of a rectangular paper (30 cm x 20 cm) a quadrant of a circle of radius 7 cm is cut. Find the area of the remaining paper i.e. the shaded portion. class 7&quot; border=&quot;0&quot; data-original-height=&quot;1280&quot; data-original-width=&quot;1232&quot; height=&quot;640&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgpegWXseS4dhHQVJjB2bFdjVFbFYsp4cXm2b8gxWy0zi4-EKX5j8J3tZ-YQGJ35_Qk5yfKNW9iYTp1LSj5I5ISOAyBFetKzw_XRA4Eir5g4EjT2LxEDQZwlgIG4kEuMpVOZc2BODdqv_H_KQxylmcN03SLI5uEQTwcd9Eu3oJLNMPMCZ27nuaWFRuVvAA/w616-h640/class%207%20sayantika.jpeg&quot; title=&quot;From Each corner of a rectangular paper (30 cm x 20 cm) a quadrant of a circle of radius 7 cm is cut. Find the area of the remaining paper i.e. the shaded portion. class 7&quot; width=&quot;616&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&lt;p&gt;&lt;/p&gt;</content><link rel='replies' type='application/atom+xml' href='http://www.updateans.com/feeds/4880395836826453160/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://www.updateans.com/2026/11/from-each-corner-of-rectangular-paper.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/4880395836826453160'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/4880395836826453160'/><link rel='alternate' type='text/html' href='http://www.updateans.com/2026/11/from-each-corner-of-rectangular-paper.html' title='From Each corner of a rectangular paper (30 cm x 20 cm) a quadrant of a circle of radius 7 cm is cut. Find the area of the remaining paper i.e. the shaded portion. class 7 '/><author><name>ANS</name><uri>http://www.blogger.com/profile/01097653302417848438</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='24' height='32' src='//blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgO9frEzsqifivIEIigaZPjivXEGfEkLLnsAcfEVVAbQ-uZIWWcJZVg6w-SlaWP6MDF8Ab5kkLXg-niEy3gl1JfedAw12mmDlfTw10CgLAxwm_MRWJqND_mGLKoGPRsAw/s113/IMG_20200225_071338.jpg'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgpegWXseS4dhHQVJjB2bFdjVFbFYsp4cXm2b8gxWy0zi4-EKX5j8J3tZ-YQGJ35_Qk5yfKNW9iYTp1LSj5I5ISOAyBFetKzw_XRA4Eir5g4EjT2LxEDQZwlgIG4kEuMpVOZc2BODdqv_H_KQxylmcN03SLI5uEQTwcd9Eu3oJLNMPMCZ27nuaWFRuVvAA/s72-w616-h640-c/class%207%20sayantika.jpeg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3172376283061609300.post-6857481199962456266</id><published>2026-11-10T10:19:34.871+05:30</published><updated>2026-11-10T10:57:10.666+05:30</updated><category scheme="http://www.blogger.com/atom/ns#" term="class 8"/><category scheme="http://www.blogger.com/atom/ns#" term="Class 9"/><category scheme="http://www.blogger.com/atom/ns#" term="Polygon"/><title type='text'>The ratio between the number of sides of two regular polygons is 3:4 and the ratio between the sum of their interior angle is 2:3. Find the number of side in each polygon.</title><content type='html'>&lt;p&gt;&amp;nbsp;&lt;/p&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/AVvXsEga8yomiu1bJJMEgvG9avSuTTBIYnaXNIZ7UpSVSysoG_b7hHsgyUKPz60ZZpwQYNLt8N2E4xZDXV9KIuS6tTxiaQ3TQHe8_KEtFGZ8soCpXxN_hihiMMyXSTafFprxsPrYf6IOa0XvQsbwvTiYtlIENXSj9PVlZ44_Lsxajkvw3syfvbhJGBKdUoar_2g/s2864/IMG_20261110_101644.jpg&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;The ratio between the number of sides of two regular polygons is 3:4 and the ratio between the sum of their interior angle is 2:3. Find the number of side in each polygon.&quot; border=&quot;0&quot; data-original-height=&quot;2864&quot; data-original-width=&quot;2315&quot; height=&quot;640&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEga8yomiu1bJJMEgvG9avSuTTBIYnaXNIZ7UpSVSysoG_b7hHsgyUKPz60ZZpwQYNLt8N2E4xZDXV9KIuS6tTxiaQ3TQHe8_KEtFGZ8soCpXxN_hihiMMyXSTafFprxsPrYf6IOa0XvQsbwvTiYtlIENXSj9PVlZ44_Lsxajkvw3syfvbhJGBKdUoar_2g/w518-h640/IMG_20261110_101644.jpg&quot; title=&quot;The ratio between the number of sides of two regular polygons is 3:4 and the ratio between the sum of their interior angle is 2:3. Find the number of side in each polygon.&quot; width=&quot;518&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&lt;p&gt;&lt;/p&gt;</content><link rel='replies' type='application/atom+xml' href='http://www.updateans.com/feeds/6857481199962456266/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://www.updateans.com/2026/11/the-ratio-between-number-of-sides-of.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/6857481199962456266'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/6857481199962456266'/><link rel='alternate' type='text/html' href='http://www.updateans.com/2026/11/the-ratio-between-number-of-sides-of.html' title='The ratio between the number of sides of two regular polygons is 3:4 and the ratio between the sum of their interior angle is 2:3. Find the number of side in each polygon.'/><author><name>ANS</name><uri>http://www.blogger.com/profile/01097653302417848438</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='24' height='32' src='//blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgO9frEzsqifivIEIigaZPjivXEGfEkLLnsAcfEVVAbQ-uZIWWcJZVg6w-SlaWP6MDF8Ab5kkLXg-niEy3gl1JfedAw12mmDlfTw10CgLAxwm_MRWJqND_mGLKoGPRsAw/s113/IMG_20200225_071338.jpg'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEga8yomiu1bJJMEgvG9avSuTTBIYnaXNIZ7UpSVSysoG_b7hHsgyUKPz60ZZpwQYNLt8N2E4xZDXV9KIuS6tTxiaQ3TQHe8_KEtFGZ8soCpXxN_hihiMMyXSTafFprxsPrYf6IOa0XvQsbwvTiYtlIENXSj9PVlZ44_Lsxajkvw3syfvbhJGBKdUoar_2g/s72-w518-h640-c/IMG_20261110_101644.jpg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3172376283061609300.post-58143266771710120</id><published>2026-11-10T10:07:25.612+05:30</published><updated>2026-11-10T10:56:32.840+05:30</updated><category scheme="http://www.blogger.com/atom/ns#" term="Class 7"/><category scheme="http://www.blogger.com/atom/ns#" term="Machine"/><title type='text'>In a lever, fulcrum is at one end at a distance of 30cm from the load and effort is at the other end at a distance of 90cm from the load. Find: a) the length of load arm  b) the length of effort arm and  C) the mechanical advantage of the lever</title><content type='html'>&lt;p&gt;&amp;nbsp;&lt;/p&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/AVvXsEgvFjBti65bnL92u4Y0M7A48xnF24XF7uySEdJO3Eu8q53qmqgtnGFyS30C1Ct4adL1RpjOiZREt6V1a_-yXyaa0MfGFVXachWuw7HsmP5tfVGIM0PEngLl_VQMhuRIvKr_U_96tfChQJ3_ChHqz3wraeqGGpVkXAD3KSI40qZv5JPartsqeuF8W7dS9N0/s3126/IMG_20261110_100615.jpg&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;In a lever, fulcrum is at one end at a distance of 30cm from the load and effort is at the other end at a distance of 90cm from the load. Find: a) the length of load arm  b) the length of effort arm and  C) the mechanical advantage of the lever&quot; border=&quot;0&quot; data-original-height=&quot;3126&quot; data-original-width=&quot;2360&quot; height=&quot;640&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgvFjBti65bnL92u4Y0M7A48xnF24XF7uySEdJO3Eu8q53qmqgtnGFyS30C1Ct4adL1RpjOiZREt6V1a_-yXyaa0MfGFVXachWuw7HsmP5tfVGIM0PEngLl_VQMhuRIvKr_U_96tfChQJ3_ChHqz3wraeqGGpVkXAD3KSI40qZv5JPartsqeuF8W7dS9N0/w484-h640/IMG_20261110_100615.jpg&quot; title=&quot;In a lever, fulcrum is at one end at a distance of 30cm from the load and effort is at the other end at a distance of 90cm from the load. Find: a) the length of load arm  b) the length of effort arm and  C) the mechanical advantage of the lever&quot; width=&quot;484&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&lt;p&gt;&lt;/p&gt;</content><link rel='replies' type='application/atom+xml' href='http://www.updateans.com/feeds/58143266771710120/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://www.updateans.com/2026/11/in-lever-fulcrum-is-at-one-end-at.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/58143266771710120'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/58143266771710120'/><link rel='alternate' type='text/html' href='http://www.updateans.com/2026/11/in-lever-fulcrum-is-at-one-end-at.html' title='In a lever, fulcrum is at one end at a distance of 30cm from the load and effort is at the other end at a distance of 90cm from the load. Find: a) the length of load arm  b) the length of effort arm and  C) the mechanical advantage of the lever'/><author><name>ANS</name><uri>http://www.blogger.com/profile/01097653302417848438</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='24' height='32' src='//blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgO9frEzsqifivIEIigaZPjivXEGfEkLLnsAcfEVVAbQ-uZIWWcJZVg6w-SlaWP6MDF8Ab5kkLXg-niEy3gl1JfedAw12mmDlfTw10CgLAxwm_MRWJqND_mGLKoGPRsAw/s113/IMG_20200225_071338.jpg'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgvFjBti65bnL92u4Y0M7A48xnF24XF7uySEdJO3Eu8q53qmqgtnGFyS30C1Ct4adL1RpjOiZREt6V1a_-yXyaa0MfGFVXachWuw7HsmP5tfVGIM0PEngLl_VQMhuRIvKr_U_96tfChQJ3_ChHqz3wraeqGGpVkXAD3KSI40qZv5JPartsqeuF8W7dS9N0/s72-w484-h640-c/IMG_20261110_100615.jpg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3172376283061609300.post-995995415258790304</id><published>2026-11-09T22:29:44.333+05:30</published><updated>2026-11-10T10:55:25.641+05:30</updated><category scheme="http://www.blogger.com/atom/ns#" term="class 8"/><category scheme="http://www.blogger.com/atom/ns#" term="Class 9"/><category scheme="http://www.blogger.com/atom/ns#" term="Polygon"/><title type='text'>Two angles of a polygon are right angles and remaining are 120 degree each. Find the number of side in it.</title><content type='html'>&lt;p&gt;&lt;/p&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/AVvXsEjn-3-0QMDDbiY-KcuiQNh3p9usFNxPgmpYg2c3QrfFle9NtYFVi60LC6WyMDTXivKsYn1OWX2uhpf6sWBJgLCR0ag9tagm_l3dQi4RwWTcgdvW3C09NqsFKphgYvD0exEjVUXnM-KzvKbwL0_hsY-bNArzFZj9YLgslZMnaV190jTYcg9V8PPBPQ-eP0g/s3033/IMG_20261109_222707.jpg&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;Two angles of a polygon are right angles and remaining are 120 degree each. Find the number of side in it.&quot; border=&quot;0&quot; data-original-height=&quot;3033&quot; data-original-width=&quot;2829&quot; height=&quot;640&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjn-3-0QMDDbiY-KcuiQNh3p9usFNxPgmpYg2c3QrfFle9NtYFVi60LC6WyMDTXivKsYn1OWX2uhpf6sWBJgLCR0ag9tagm_l3dQi4RwWTcgdvW3C09NqsFKphgYvD0exEjVUXnM-KzvKbwL0_hsY-bNArzFZj9YLgslZMnaV190jTYcg9V8PPBPQ-eP0g/w596-h640/IMG_20261109_222707.jpg&quot; title=&quot;Two angles of a polygon are right angles and remaining are 120 degree each. Find the number of side in it.&quot; width=&quot;596&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&amp;nbsp;&lt;p&gt;&lt;/p&gt;</content><link rel='replies' type='application/atom+xml' href='http://www.updateans.com/feeds/995995415258790304/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://www.updateans.com/2026/11/two-angles-of-polygon-are-right-angles.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/995995415258790304'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/995995415258790304'/><link rel='alternate' type='text/html' href='http://www.updateans.com/2026/11/two-angles-of-polygon-are-right-angles.html' title='Two angles of a polygon are right angles and remaining are 120 degree each. Find the number of side in it.'/><author><name>ANS</name><uri>http://www.blogger.com/profile/01097653302417848438</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='24' height='32' src='//blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgO9frEzsqifivIEIigaZPjivXEGfEkLLnsAcfEVVAbQ-uZIWWcJZVg6w-SlaWP6MDF8Ab5kkLXg-niEy3gl1JfedAw12mmDlfTw10CgLAxwm_MRWJqND_mGLKoGPRsAw/s113/IMG_20200225_071338.jpg'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjn-3-0QMDDbiY-KcuiQNh3p9usFNxPgmpYg2c3QrfFle9NtYFVi60LC6WyMDTXivKsYn1OWX2uhpf6sWBJgLCR0ag9tagm_l3dQi4RwWTcgdvW3C09NqsFKphgYvD0exEjVUXnM-KzvKbwL0_hsY-bNArzFZj9YLgslZMnaV190jTYcg9V8PPBPQ-eP0g/s72-w596-h640-c/IMG_20261109_222707.jpg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3172376283061609300.post-1129740941024671087</id><published>2026-11-09T19:00:08.313+05:30</published><updated>2026-11-09T19:00:08.314+05:30</updated><category scheme="http://www.blogger.com/atom/ns#" term="Area and Perimeter of Plane Figures"/><category scheme="http://www.blogger.com/atom/ns#" term="class 8"/><title type='text'>A field is in the shape of a quadrilateral ABCD in which side AB = 18m side AD = 24m side BC = 40m DC = 50m and angle A = 90 deg Find the area of the field.</title><content type='html'>&lt;p&gt;&amp;nbsp;&lt;/p&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/AVvXsEiVEnHUBa3UXCTpsPMcxHDf6ZsIpTCqATx97Jr_JXSDPmtBj1FPLIviUJK2NkgKMQYWiMldSk3f1H8afYl1U9InsvemuAQh3U461LGZ5tdxxSPaeG1D7DBuy8dzETzgYyTSy_g7y_nXD08tYAUwfski4i4xdVH-tA7m4906oeyNl4_3LkkHVN7u7d5qTOM/s1280/class%208a.jpeg&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;A field is in the shape of a quadrilateral ABCD in which side AB = 18m side AD = 24m side BC = 40m DC = 50m and angle A = 90 deg Find the area of the field.&quot; border=&quot;0&quot; data-original-height=&quot;1280&quot; data-original-width=&quot;1072&quot; height=&quot;640&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiVEnHUBa3UXCTpsPMcxHDf6ZsIpTCqATx97Jr_JXSDPmtBj1FPLIviUJK2NkgKMQYWiMldSk3f1H8afYl1U9InsvemuAQh3U461LGZ5tdxxSPaeG1D7DBuy8dzETzgYyTSy_g7y_nXD08tYAUwfski4i4xdVH-tA7m4906oeyNl4_3LkkHVN7u7d5qTOM/w536-h640/class%208a.jpeg&quot; title=&quot;A field is in the shape of a quadrilateral ABCD in which side AB = 18m side AD = 24m side BC = 40m DC = 50m and angle A = 90 deg Find the area of the field.&quot; width=&quot;536&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&lt;p&gt;&lt;/p&gt;</content><link rel='replies' type='application/atom+xml' href='http://www.updateans.com/feeds/1129740941024671087/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://www.updateans.com/2026/11/a-field-is-in-shape-of-quadrilateral.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/1129740941024671087'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/1129740941024671087'/><link rel='alternate' type='text/html' href='http://www.updateans.com/2026/11/a-field-is-in-shape-of-quadrilateral.html' title='A field is in the shape of a quadrilateral ABCD in which side AB = 18m side AD = 24m side BC = 40m DC = 50m and angle A = 90 deg Find the area of the field.'/><author><name>ANS</name><uri>http://www.blogger.com/profile/01097653302417848438</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='24' height='32' src='//blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgO9frEzsqifivIEIigaZPjivXEGfEkLLnsAcfEVVAbQ-uZIWWcJZVg6w-SlaWP6MDF8Ab5kkLXg-niEy3gl1JfedAw12mmDlfTw10CgLAxwm_MRWJqND_mGLKoGPRsAw/s113/IMG_20200225_071338.jpg'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiVEnHUBa3UXCTpsPMcxHDf6ZsIpTCqATx97Jr_JXSDPmtBj1FPLIviUJK2NkgKMQYWiMldSk3f1H8afYl1U9InsvemuAQh3U461LGZ5tdxxSPaeG1D7DBuy8dzETzgYyTSy_g7y_nXD08tYAUwfski4i4xdVH-tA7m4906oeyNl4_3LkkHVN7u7d5qTOM/s72-w536-h640-c/class%208a.jpeg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3172376283061609300.post-4439242420444752762</id><published>2026-11-09T16:38:39.859+05:30</published><updated>2026-11-09T19:01:37.128+05:30</updated><category scheme="http://www.blogger.com/atom/ns#" term="Area and Perimeter of Plane Figures"/><category scheme="http://www.blogger.com/atom/ns#" term="class 8"/><title type='text'>The area of an equilateral triangle is numerically equal to its perimeter. Find its perimeter correct to 2 decimal places. </title><content type='html'>&lt;p&gt;&amp;nbsp;&lt;/p&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/AVvXsEh9Ua6tw50aEY3a3R63dsxiWwMhZJV2aK_x-t9zD1FfNcw051Eci9jS2fXN0lI68AarkTG1iFYYvlHs8ocIT6ezk85R0y4rEso28CsQPuuceWZqbZ31HS27pWTFLCbS1TleMPsMA_AvRMpny7YnoZ5hINwDc-gpRSHO0IzSdq4xrPmNaYTAfiOiWU_UfWk/s1280/IMG-20261109-WA0005.jpg&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;The area of an equilateral triangle is numerically equal to its perimeter. Find its perimeter correct to 2 decimal places.&quot; border=&quot;0&quot; data-original-height=&quot;1280&quot; data-original-width=&quot;968&quot; height=&quot;640&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh9Ua6tw50aEY3a3R63dsxiWwMhZJV2aK_x-t9zD1FfNcw051Eci9jS2fXN0lI68AarkTG1iFYYvlHs8ocIT6ezk85R0y4rEso28CsQPuuceWZqbZ31HS27pWTFLCbS1TleMPsMA_AvRMpny7YnoZ5hINwDc-gpRSHO0IzSdq4xrPmNaYTAfiOiWU_UfWk/w484-h640/IMG-20261109-WA0005.jpg&quot; title=&quot;The area of an equilateral triangle is numerically equal to its perimeter. Find its perimeter correct to 2 decimal places.&quot; width=&quot;484&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&lt;p&gt;&lt;/p&gt;</content><link rel='replies' type='application/atom+xml' href='http://www.updateans.com/feeds/4439242420444752762/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://www.updateans.com/2026/11/the-area-of-equilateral-triangle-is.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/4439242420444752762'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/4439242420444752762'/><link rel='alternate' type='text/html' href='http://www.updateans.com/2026/11/the-area-of-equilateral-triangle-is.html' title='The area of an equilateral triangle is numerically equal to its perimeter. Find its perimeter correct to 2 decimal places. '/><author><name>ANS</name><uri>http://www.blogger.com/profile/01097653302417848438</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='24' height='32' src='//blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgO9frEzsqifivIEIigaZPjivXEGfEkLLnsAcfEVVAbQ-uZIWWcJZVg6w-SlaWP6MDF8Ab5kkLXg-niEy3gl1JfedAw12mmDlfTw10CgLAxwm_MRWJqND_mGLKoGPRsAw/s113/IMG_20200225_071338.jpg'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh9Ua6tw50aEY3a3R63dsxiWwMhZJV2aK_x-t9zD1FfNcw051Eci9jS2fXN0lI68AarkTG1iFYYvlHs8ocIT6ezk85R0y4rEso28CsQPuuceWZqbZ31HS27pWTFLCbS1TleMPsMA_AvRMpny7YnoZ5hINwDc-gpRSHO0IzSdq4xrPmNaYTAfiOiWU_UfWk/s72-w484-h640-c/IMG-20261109-WA0005.jpg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3172376283061609300.post-2743193602788089095</id><published>2026-11-08T10:13:21.073+05:30</published><updated>2026-11-09T19:02:04.546+05:30</updated><category scheme="http://www.blogger.com/atom/ns#" term="class 8"/><category scheme="http://www.blogger.com/atom/ns#" term="Percentage"/><title type='text'>In a room of 100 people, 99% are left handed . How many left handed people have to leave the room to bring that percentage down to 98%</title><content type='html'>&lt;p&gt;&amp;nbsp;&lt;/p&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/AVvXsEjC0wXuGH-rLKLOYFxfgHCJVR7dx0G1gahcmQvMdI-WEnzigwDHqq6sVJFfWWJXdNp7TmPEqIDSexAZOKtTG_5ETQNyw3qlYhtpeZkDiTFwv0Vx8Mhyphenhyphent_Uaap5Y6Zb0AC2bPRM6ifrxduBjGb52j-EOfKGSjn6vLwU40Tq6SFGoOklIenJUJlupZ8lUgKc/s1280/IMG-20261108-WA0000.jpg&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;In a room of 100 people, 99% are left handed . How many left handed people have to leave the room to bring that percentage down to 98%&quot; border=&quot;0&quot; data-original-height=&quot;1280&quot; data-original-width=&quot;983&quot; height=&quot;640&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjC0wXuGH-rLKLOYFxfgHCJVR7dx0G1gahcmQvMdI-WEnzigwDHqq6sVJFfWWJXdNp7TmPEqIDSexAZOKtTG_5ETQNyw3qlYhtpeZkDiTFwv0Vx8Mhyphenhyphent_Uaap5Y6Zb0AC2bPRM6ifrxduBjGb52j-EOfKGSjn6vLwU40Tq6SFGoOklIenJUJlupZ8lUgKc/w492-h640/IMG-20261108-WA0000.jpg&quot; title=&quot;In a room of 100 people, 99% are left handed . How many left handed people have to leave the room to bring that percentage down to 98%&quot; width=&quot;492&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&lt;p&gt;&lt;/p&gt;</content><link rel='replies' type='application/atom+xml' href='http://www.updateans.com/feeds/2743193602788089095/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://www.updateans.com/2026/11/in-room-of-100-people-99-are-left.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/2743193602788089095'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/2743193602788089095'/><link rel='alternate' type='text/html' href='http://www.updateans.com/2026/11/in-room-of-100-people-99-are-left.html' title='In a room of 100 people, 99% are left handed . How many left handed people have to leave the room to bring that percentage down to 98%'/><author><name>ANS</name><uri>http://www.blogger.com/profile/01097653302417848438</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='24' height='32' src='//blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgO9frEzsqifivIEIigaZPjivXEGfEkLLnsAcfEVVAbQ-uZIWWcJZVg6w-SlaWP6MDF8Ab5kkLXg-niEy3gl1JfedAw12mmDlfTw10CgLAxwm_MRWJqND_mGLKoGPRsAw/s113/IMG_20200225_071338.jpg'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjC0wXuGH-rLKLOYFxfgHCJVR7dx0G1gahcmQvMdI-WEnzigwDHqq6sVJFfWWJXdNp7TmPEqIDSexAZOKtTG_5ETQNyw3qlYhtpeZkDiTFwv0Vx8Mhyphenhyphent_Uaap5Y6Zb0AC2bPRM6ifrxduBjGb52j-EOfKGSjn6vLwU40Tq6SFGoOklIenJUJlupZ8lUgKc/s72-w492-h640-c/IMG-20261108-WA0000.jpg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3172376283061609300.post-8676402331098606818</id><published>2026-10-30T16:32:38.096+05:30</published><updated>2026-11-04T15:57:28.993+05:30</updated><category scheme="http://www.blogger.com/atom/ns#" term="Class 7"/><category scheme="http://www.blogger.com/atom/ns#" term="Compound Interest"/><category scheme="http://www.blogger.com/atom/ns#" term="Math Questions"/><title type='text'>Class 7 Simple Interest MCQ Test  FM 20</title><content type='html'>&lt;!DOCTYPE html&gt;
&lt;html lang=&quot;en&quot;&gt;
&lt;head&gt;
    &lt;meta charset=&quot;UTF-8&quot;&gt;
    &lt;meta name=&quot;viewport&quot; content=&quot;width=device-width, initial-scale=1.0&quot;&gt;
    &lt;title&gt;Exam Access Portal&lt;/title&gt;
    &lt;link rel=&quot;stylesheet&quot; href=&quot;https://cdnjs.cloudflare.com/ajax/libs/font-awesome/6.4.0/css/all.min.css&quot;&gt;
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            color: #334155;
            min-height: 100vh;
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        .container {
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            max-width: 1200px;
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        .header {
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        /* Logo image styling — replaces the &lt;i&gt; tag */
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            height: 90px;
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            object-fit: cover;
            margin-bottom: 10px;
            border: 3px solid #3b82f6;
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            background: white;
            box-shadow: 0 4px 12px rgba(59,130,246,0.2);
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        .header h1 {
            font-size: 1.8rem;
            color: #1e293b;
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        .header p {
            color: #64748b;
            font-size: 1rem;
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        .card {
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            padding: 30px;
            box-shadow: 0 4px 20px rgba(0, 0, 0, 0.05);
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        .section-title {
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        .toggle-section {
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        .toggle-text {
            color: #475569;
            margin-bottom: 15px;
            font-size: 0.95rem;
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        .toggle-link {
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            transition: all 0.2s;
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        .btn-primary {
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            background: #fee2e2;
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        .info-box {
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            font-size: 0.9rem;
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        .info-box i {
            margin-right: 8px;
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        .hidden {
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        .payment-details {
            background: #f8fafc;
            border-radius: 10px;
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        .amount {
            font-size: 2rem;
            color: #3b82f6;
            font-weight: 700;
            text-align: center;
            margin: 15px 0;
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        .qr-container {
            width: 180px;
            height: 180px;
            margin: 20px auto;
            background: white;
            padding: 10px;
            border-radius: 8px;
            border: 1px solid #e2e8f0;
        }
        
        .qr-container img {
            width: 100%;
            height: 100%;
            object-fit: contain;
        }
        
        .upi-id {
            background: white;
            padding: 12px;
            border-radius: 8px;
            font-family: &#39;Courier New&#39;, monospace;
            font-weight: 600;
            color: #1e293b;
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        .footer {
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        .payment-options {
            display: flex;
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            gap: 15px;
            margin: 25px 0;
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        .payment-option {
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            gap: 15px;
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            box-shadow: 0 5px 15px rgba(59, 130, 246, 0.1);
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        .payment-icon {
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            background: #3b82f6;
            border-radius: 10px;
            display: flex;
            align-items: center;
            justify-content: center;
            color: white;
            font-size: 1.5rem;
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        .payment-info {
            flex: 1;
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        .payment-title {
            font-weight: 600;
            color: #1e293b;
            margin-bottom: 5px;
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        .payment-desc {
            color: #64748b;
            font-size: 0.9rem;
        }
        
        /* Loading overlay (still used before redirect) */
        .loading-overlay {
            position: fixed;
            top: 0;
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            width: 100vw;
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            z-index: 2000;
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            width: 60px;
            height: 60px;
            border: 5px solid rgba(255, 255, 255, 0.3);
            border-radius: 50%;
            border-top-color: white;
            animation: spin 1s linear infinite;
            margin-bottom: 20px;
        }
        
        @keyframes spin {
            to { transform: rotate(360deg); }
        }
        
        .loading-text {
            font-size: 1.2rem;
            font-weight: 500;
        }
        
        @media (max-width: 768px) {
            .container {
                padding: 15px;
            }
            
            .card {
                padding: 20px;
            }
            
            .header h1 {
                font-size: 1.5rem;
            }
            
            .logo-image {
                width: 70px;
                height: 70px;
            }
            
            .qr-container {
                width: 160px;
                height: 160px;
            }
            
            .payment-option {
                padding: 12px;
            }
            
            .payment-icon {
                width: 40px;
                height: 40px;
                font-size: 1.2rem;
            }
        }
    &lt;/style&gt;
&lt;/head&gt;
&lt;body&gt;
    &lt;!-- Loading Overlay (shown before redirect) --&gt;
    &lt;div class=&quot;loading-overlay hidden&quot; id=&quot;loadingOverlay&quot;&gt;
        &lt;div class=&quot;loading-spinner&quot;&gt;&lt;/div&gt;
        &lt;div class=&quot;loading-text&quot;&gt;Loading Exam Form...&lt;/div&gt;
    &lt;/div&gt;
    
    &lt;!-- Main Portal (shown initially) --&gt;
    &lt;div id=&quot;mainPortal&quot; class=&quot;container&quot;&gt;
        &lt;div class=&quot;header&quot;&gt;
            &lt;img src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgsXtsXezkpm9Fvj5ZDCXaEd45hx87O-j6KgvxxL89uq8eLakhCZOO1xSExx521v4d_eD6uMbWIl1TcAKIKcmbudeDGF0TB2kxPkcX7rfDjodR2sZbLK_is_NdvZgy535O5tt0oGhTiPt0fivRd-DCU9wv6z6RdN5M8CeBHpP2fXYgRPmHBb4B_fL94eHo/s1536/logo.jpeg&quot; 
                 alt=&quot;Exam Portal Logo&quot; 
                 class=&quot;logo-image&quot;
                 onerror=&quot;this.onerror=null; this.src=&#39;https://via.placeholder.com/90x90?text=Logo&#39;;&quot;&gt;
            &lt;h1&gt;Exam Access Portal&lt;/h1&gt;
            &lt;p&gt;Enter access code to proceed to exam&lt;/p&gt;
        &lt;/div&gt;
        
        &lt;!-- Access Code Card --&gt;
        &lt;div class=&quot;card&quot; id=&quot;accessSection&quot;&gt;
            &lt;h2 class=&quot;section-title&quot;&gt;
                &lt;i class=&quot;fas fa-key&quot;&gt;&lt;/i&gt;
                Enter Access Code
            &lt;/h2&gt;
            
            &lt;div class=&quot;toggle-section&quot;&gt;
                &lt;p class=&quot;toggle-text&quot;&gt;Already have an access code?&lt;/p&gt;
                &lt;div class=&quot;input-group&quot;&gt;
                    &lt;input type=&quot;text&quot; class=&quot;input-field&quot; id=&quot;accessCode&quot; placeholder=&quot;Enter your access code&quot; autocomplete=&quot;off&quot; autofocus&gt;
                &lt;/div&gt;
                &lt;button class=&quot;btn btn-primary&quot; id=&quot;submitCodeBtn&quot;&gt;
                    &lt;i class=&quot;fas fa-arrow-right&quot;&gt;&lt;/i&gt; Proceed to Exam
                &lt;/button&gt;
                
                &lt;div id=&quot;errorMessage&quot; class=&quot;message error&quot;&gt;
                    &lt;i class=&quot;fas fa-exclamation-circle&quot;&gt;&lt;/i&gt; Invalid access code. Please check and try again.
                &lt;/div&gt;
                
                &lt;p class=&quot;toggle-text&quot; style=&quot;margin-top: 20px;&quot;&gt;Need to make payment first?&lt;/p&gt;
                &lt;a class=&quot;toggle-link&quot; id=&quot;showPaymentLink&quot;&gt;
                    &lt;i class=&quot;fas fa-credit-card&quot;&gt;&lt;/i&gt; Go to Payment Section
                &lt;/a&gt;
            &lt;/div&gt;
            
            &lt;div class=&quot;info-box&quot;&gt;
                &lt;i class=&quot;fas fa-info-circle&quot;&gt;&lt;/i&gt;
                Access codes are provided after successful payment of ₹20.
            &lt;/div&gt;
        &lt;/div&gt;
        
        &lt;!-- Payment Card --&gt;
        &lt;div class=&quot;card hidden&quot; id=&quot;paymentSection&quot;&gt;
            &lt;h2 class=&quot;section-title&quot;&gt;
                &lt;i class=&quot;fas fa-credit-card&quot;&gt;&lt;/i&gt;
                Complete Payment
            &lt;/h2&gt;
            
            &lt;div class=&quot;payment-details&quot;&gt;
                &lt;p style=&quot;text-align: center; color: #64748b;&quot;&gt;Exam access fee&lt;/p&gt;
                &lt;div class=&quot;amount&quot;&gt;₹20&lt;/div&gt;
                
                &lt;div class=&quot;payment-options&quot;&gt;
                    &lt;div class=&quot;payment-option selected&quot; id=&quot;upiOption&quot;&gt;
                        &lt;div class=&quot;payment-icon&quot;&gt;
                            &lt;i class=&quot;fas fa-mobile-alt&quot;&gt;&lt;/i&gt;
                        &lt;/div&gt;
                        &lt;div class=&quot;payment-info&quot;&gt;
                            &lt;div class=&quot;payment-title&quot;&gt;Pay via UPI&lt;/div&gt;
                            &lt;div class=&quot;payment-desc&quot;&gt;Open UPI app with ₹20 pre-filled&lt;/div&gt;
                        &lt;/div&gt;
                        &lt;i class=&quot;fas fa-check-circle&quot; style=&quot;color: #22c55e; font-size: 1.2rem;&quot;&gt;&lt;/i&gt;
                    &lt;/div&gt;
                    
                    &lt;div class=&quot;payment-option&quot; id=&quot;qrOption&quot;&gt;
                        &lt;div class=&quot;payment-icon&quot;&gt;
                            &lt;i class=&quot;fas fa-qrcode&quot;&gt;&lt;/i&gt;
                        &lt;/div&gt;
                        &lt;div class=&quot;payment-info&quot;&gt;
                            &lt;div class=&quot;payment-title&quot;&gt;Scan QR Code&lt;/div&gt;
                            &lt;div class=&quot;payment-desc&quot;&gt;Scan QR code to pay ₹20&lt;/div&gt;
                        &lt;/div&gt;
                    &lt;/div&gt;
                &lt;/div&gt;
                
                &lt;div id=&quot;qrSection&quot; class=&quot;hidden&quot;&gt;
                    &lt;div class=&quot;qr-container&quot;&gt;
                        &lt;img src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh-J5w_32VXSiG0iQXhYsxycERYLZ2iNLUlmyBLZ_-ce4HxstbCjiOqrYqW7NJUqORgYaDb7QBSjI0F1HDfarQWl0LUT4ccr4GKcU6J7AXsIzOPdAQyG5t7tYfJgbhYuBX86f35Qwb1ZXq_8cWY4J6V585A6JlxqzYhPWZqWxtidgBSI4Qs328JwYA-EBk/s320/qr.png&quot; alt=&quot;Scan QR Code to Pay ₹20&quot;&gt;
                    &lt;/div&gt;
                    
                    &lt;p style=&quot;text-align: center; color: #64748b; margin: 15px 0 10px;&quot;&gt;Scan QR code or send payment to:&lt;/p&gt;
                    &lt;div class=&quot;upi-id&quot;&gt;anssir@upi&lt;/div&gt;
                &lt;/div&gt;
            &lt;/div&gt;
            
            &lt;button class=&quot;btn btn-success&quot; id=&quot;payViaUpiBtn&quot;&gt;
                &lt;i class=&quot;fas fa-external-link-alt&quot;&gt;&lt;/i&gt; Open UPI App to Pay ₹20
            &lt;/button&gt;
            
            &lt;button class=&quot;btn btn-primary&quot; id=&quot;markPaidBtn&quot; style=&quot;margin-top: 10px;&quot;&gt;
                &lt;i class=&quot;fas fa-check-circle&quot;&gt;&lt;/i&gt; I&#39;ve Completed Payment
            &lt;/button&gt;
            
            &lt;button class=&quot;btn btn-secondary&quot; id=&quot;backToAccessBtn&quot; style=&quot;margin-top: 10px;&quot;&gt;
                &lt;i class=&quot;fas fa-arrow-left&quot;&gt;&lt;/i&gt; Back to Access Code
            &lt;/button&gt;
            
            &lt;div class=&quot;info-box&quot;&gt;
                &lt;i class=&quot;fas fa-info-circle&quot;&gt;&lt;/i&gt;
                After payment, click &quot;I&#39;ve Completed Payment&quot;. Your access code will be provided via WhatsApp.
            &lt;/div&gt;
        &lt;/div&gt;
        
        &lt;div class=&quot;footer&quot;&gt;
            &lt;p&gt; 2026 Exam Access Portal | Secure &amp; Confidential&lt;/p&gt;
            &lt;p style=&quot;margin-top: 5px; font-size: 0.8rem;&quot;&gt;For assistance, contact: ankit.sarawgi1@gmail.com&lt;/p&gt;
        &lt;/div&gt;
    &lt;/div&gt;
    
    &lt;!-- The full-page form iframe has been removed. 
         The exam form now opens directly in the browser. --&gt;

    &lt;script&gt;
        document.addEventListener(&#39;DOMContentLoaded&#39;, function() {
            // Elements
            const mainPortal = document.getElementById(&#39;mainPortal&#39;);
            const accessSection = document.getElementById(&#39;accessSection&#39;);
            const paymentSection = document.getElementById(&#39;paymentSection&#39;);
            const loadingOverlay = document.getElementById(&#39;loadingOverlay&#39;);
            const submitCodeBtn = document.getElementById(&#39;submitCodeBtn&#39;);
            const accessCodeInput = document.getElementById(&#39;accessCode&#39;);
            const showPaymentLink = document.getElementById(&#39;showPaymentLink&#39;);
            const markPaidBtn = document.getElementById(&#39;markPaidBtn&#39;);
            const backToAccessBtn = document.getElementById(&#39;backToAccessBtn&#39;);
            const payViaUpiBtn = document.getElementById(&#39;payViaUpiBtn&#39;);
            const upiOption = document.getElementById(&#39;upiOption&#39;);
            const qrOption = document.getElementById(&#39;qrOption&#39;);
            const qrSection = document.getElementById(&#39;qrSection&#39;);
            const errorMessage = document.getElementById(&#39;errorMessage&#39;);
            
            // Payment details
            const UPI_ID = &quot;anssir@upi&quot;;
            const PAYMENT_AMOUNT = &quot;20&quot;;
            const PAYMENT_NOTE = &quot;Exam Access Fee&quot;;
            
            // Correct access code
            const CORRECT_CODE = &#39;ANS49&#39;;
            
            // WhatsApp details
            const WHATSAPP_NUMBER = &#39;919007782949&#39;;
            const WHATSAPP_MESSAGE = `Hello, I have made the payment of Rs ${PAYMENT_AMOUNT} for exam access form. Please provide my access code.`;
            
            // Direct link to the Google Form (no iframe, no embedded parameter)
            const EXAM_FORM_URL = &quot;https://docs.google.com/forms/d/e/1FAIpQLSe2IM5VqZEIho6RlvJWMngbWzbme9xkRlntN48S-FwSZTl38Q/viewform&quot;;
            
            // Function to generate UPI payment URL
            function generateUpiUrl() {
                // Format: upi://pay?pa=UPI_ID&amp;am=AMOUNT&amp;tn=NOTE&amp;cu=INR
                return `upi://pay?pa=${UPI_ID}&amp;am=${PAYMENT_AMOUNT}&amp;tn=${encodeURIComponent(PAYMENT_NOTE)}&amp;cu=INR`;
            }
            
            // Function to show loading and redirect to the exam form
            function openExamForm() {
                // Show loading overlay
                loadingOverlay.classList.remove(&#39;hidden&#39;);
                
                // Hide main portal
                mainPortal.classList.add(&#39;hidden&#39;);
                
                // After a short delay, redirect to the Google Form
                setTimeout(() =&gt; {
                    window.location.href = EXAM_FORM_URL;
                }, 1500);
            }
            
            // Function to validate and process access code
            function processAccessCode() {
                const enteredCode = accessCodeInput.value.trim();
                
                // Hide error message
                errorMessage.style.display = &#39;none&#39;;
                
                // Validate code
                if (enteredCode.toUpperCase() === CORRECT_CODE.toUpperCase()) {
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style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgG61MaeDwlJBURWWOCX7694gkrM8sqatq-Nd_aa9qey2ChwlUV49VaOTXIwlbm-ILqmEFDXDkKDecD8lBov_hJEmhpOe793J1Sq0nJy-KJ160n3wWh2ghkFNCTMCqcThKUCI_1MI5ivxZLvfNVczyI6QgCCaHytDWe87gJONApPaGtXzqljvdA68bnRyE/s1600/class%2012%20EMW.jpeg&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;An electromagnetic wave of frequency 100MHzpropagate through a medium of conductivity 10 mho/m. the ratio of maximum conduction current density to maximum displacement current density. class 12 | EMW | JEE 2026 Jan&quot; border=&quot;0&quot; data-original-height=&quot;1600&quot; data-original-width=&quot;1075&quot; height=&quot;640&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgG61MaeDwlJBURWWOCX7694gkrM8sqatq-Nd_aa9qey2ChwlUV49VaOTXIwlbm-ILqmEFDXDkKDecD8lBov_hJEmhpOe793J1Sq0nJy-KJ160n3wWh2ghkFNCTMCqcThKUCI_1MI5ivxZLvfNVczyI6QgCCaHytDWe87gJONApPaGtXzqljvdA68bnRyE/w430-h640/class%2012%20EMW.jpeg&quot; title=&quot;An electromagnetic wave of frequency 100MHzpropagate through a medium of conductivity 10 mho/m. the ratio of maximum conduction current density to maximum displacement current density. class 12 | EMW | JEE 2026 Jan&quot; width=&quot;430&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;br /&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-size: large;&quot;&gt;ANSWER:-&amp;nbsp; 1800:1&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;&lt;br /&gt;&amp;nbsp;&lt;p&gt;&lt;/p&gt;</content><link rel='replies' type='application/atom+xml' href='http://www.updateans.com/feeds/889758905091634823/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://www.updateans.com/2026/10/an-electromagnetic-wave-of-frequency.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/889758905091634823'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/889758905091634823'/><link rel='alternate' type='text/html' href='http://www.updateans.com/2026/10/an-electromagnetic-wave-of-frequency.html' title='An electromagnetic wave of frequency 100MHzpropagate through a medium of conductivity 10 mho/m. the ratio of maximum conduction current density to maximum displacement current density. class 12 | EMW | JEE 2026 Jan'/><author><name>ANS</name><uri>http://www.blogger.com/profile/01097653302417848438</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='24' height='32' src='//blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgO9frEzsqifivIEIigaZPjivXEGfEkLLnsAcfEVVAbQ-uZIWWcJZVg6w-SlaWP6MDF8Ab5kkLXg-niEy3gl1JfedAw12mmDlfTw10CgLAxwm_MRWJqND_mGLKoGPRsAw/s113/IMG_20200225_071338.jpg'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgG61MaeDwlJBURWWOCX7694gkrM8sqatq-Nd_aa9qey2ChwlUV49VaOTXIwlbm-ILqmEFDXDkKDecD8lBov_hJEmhpOe793J1Sq0nJy-KJ160n3wWh2ghkFNCTMCqcThKUCI_1MI5ivxZLvfNVczyI6QgCCaHytDWe87gJONApPaGtXzqljvdA68bnRyE/s72-w430-h640-c/class%2012%20EMW.jpeg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3172376283061609300.post-7277779932749458116</id><published>2026-09-20T16:13:41.395+05:30</published><updated>2026-09-20T16:13:44.623+05:30</updated><category scheme="http://www.blogger.com/atom/ns#" term="Class 11"/><category scheme="http://www.blogger.com/atom/ns#" term="IITJEE"/><category scheme="http://www.blogger.com/atom/ns#" term="Projectile Motion"/><title type='text'>Projectile Motion Formulas Ground to ground </title><content type='html'>&lt;p&gt;&lt;/p&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/AVvXsEhlSf0TjhCvonw8s2G4YdgCnMYgu8SAhgBHOBQ08-Lk5U9dUQtn7OtCfxb9wgoXVcxfFIob1IVrxCc6BY_Lgshq3VpNLxxga15wMIl_dLMw_QaFgGtyphCcBMvbZm0jgLAtAklaLydlQZpu0F6Uuj9Uyht-MT8b5hgNtNUqErPIqwWSWE53ikrS62xW2Q8/s625/projectile.jpeg&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;Projectile Motion Formulas Ground to ground&quot; border=&quot;0&quot; data-original-height=&quot;404&quot; data-original-width=&quot;625&quot; height=&quot;414&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhlSf0TjhCvonw8s2G4YdgCnMYgu8SAhgBHOBQ08-Lk5U9dUQtn7OtCfxb9wgoXVcxfFIob1IVrxCc6BY_Lgshq3VpNLxxga15wMIl_dLMw_QaFgGtyphCcBMvbZm0jgLAtAklaLydlQZpu0F6Uuj9Uyht-MT8b5hgNtNUqErPIqwWSWE53ikrS62xW2Q8/w640-h414/projectile.jpeg&quot; title=&quot;Projectile Motion Formulas Ground to ground&quot; width=&quot;640&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&amp;nbsp;&lt;p&gt;&lt;/p&gt;</content><link rel='replies' type='application/atom+xml' href='http://www.updateans.com/feeds/7277779932749458116/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://www.updateans.com/2026/09/projectile-motion-formulas-ground-to.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/7277779932749458116'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/7277779932749458116'/><link rel='alternate' type='text/html' href='http://www.updateans.com/2026/09/projectile-motion-formulas-ground-to.html' title='Projectile Motion Formulas Ground to ground '/><author><name>ANS</name><uri>http://www.blogger.com/profile/01097653302417848438</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='24' height='32' src='//blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgO9frEzsqifivIEIigaZPjivXEGfEkLLnsAcfEVVAbQ-uZIWWcJZVg6w-SlaWP6MDF8Ab5kkLXg-niEy3gl1JfedAw12mmDlfTw10CgLAxwm_MRWJqND_mGLKoGPRsAw/s113/IMG_20200225_071338.jpg'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhlSf0TjhCvonw8s2G4YdgCnMYgu8SAhgBHOBQ08-Lk5U9dUQtn7OtCfxb9wgoXVcxfFIob1IVrxCc6BY_Lgshq3VpNLxxga15wMIl_dLMw_QaFgGtyphCcBMvbZm0jgLAtAklaLydlQZpu0F6Uuj9Uyht-MT8b5hgNtNUqErPIqwWSWE53ikrS62xW2Q8/s72-w640-h414-c/projectile.jpeg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3172376283061609300.post-8501231515390004978</id><published>2026-09-11T00:34:41.666+05:30</published><updated>2026-09-11T16:36:36.655+05:30</updated><category scheme="http://www.blogger.com/atom/ns#" term="AP"/><category scheme="http://www.blogger.com/atom/ns#" term="Class 10"/><title type='text'>Determine k so that k+2, 4k-6 and 3k-2 are three consecutive terms of an AP | Class 10 | Arithmetic Progression </title><content type='html'>&lt;p&gt;&amp;nbsp;&lt;/p&gt;&lt;div class=&quot;separator&quot; 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width=&quot;640&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&lt;p&gt;&lt;/p&gt;</content><link rel='replies' type='application/atom+xml' href='http://www.updateans.com/feeds/8501231515390004978/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://www.updateans.com/2026/09/determine-k-so-that-k2-4k-6-and-3k-2.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/8501231515390004978'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/8501231515390004978'/><link rel='alternate' type='text/html' href='http://www.updateans.com/2026/09/determine-k-so-that-k2-4k-6-and-3k-2.html' title='Determine k so that k+2, 4k-6 and 3k-2 are three consecutive terms of an AP | Class 10 | Arithmetic Progression '/><author><name>ANS</name><uri>http://www.blogger.com/profile/01097653302417848438</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='24' height='32' src='//blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgO9frEzsqifivIEIigaZPjivXEGfEkLLnsAcfEVVAbQ-uZIWWcJZVg6w-SlaWP6MDF8Ab5kkLXg-niEy3gl1JfedAw12mmDlfTw10CgLAxwm_MRWJqND_mGLKoGPRsAw/s113/IMG_20200225_071338.jpg'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEirp2fdhbfRvc19dHZvMHK1UGj28szNPqZxfYuk2hf3YAG4tlCaxf1od_Lp4P5-cG26xVhxqiA_FrofRg4cXA20KH587LHx23T2mLmmEclAEPDVRN_XBPh3ybP880U0vFFK7S9d681vgmqjIVv01Nf7Ut7OddF0wPjLAX4WqEEwwre1RDeNYIRIqKS7Ujk/s72-w640-h400-c/Quick%20Note%201%2011%2020260911003230.png" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3172376283061609300.post-492172587891355115</id><published>2026-09-04T20:12:29.247+05:30</published><updated>2026-09-04T20:13:56.166+05:30</updated><category scheme="http://www.blogger.com/atom/ns#" term="blog"/><title type='text'>Happy Teachers&#39; Day</title><content type='html'>&lt;p&gt;&amp;nbsp;&lt;/p&gt;&lt;h2 style=&quot;text-align: center;&quot;&gt;🌸 गुरु ब्रह्मा गुरु विष्णु गुरु देवो महेश्वरः 🌸&lt;/h2&gt;&lt;h3 style=&quot;text-align: center;&quot;&gt;गुरु साक्षात् परब्रह्म तस्मै श्री गुरवे नमः॥&lt;/h3&gt;&lt;p&gt;&lt;/p&gt;&lt;div style=&quot;text-align: center;&quot;&gt;&lt;strong&gt;जो अज्ञान के अंधकार में ज्ञान का दीप जलाए,&lt;/strong&gt;&lt;/div&gt;&lt;strong&gt;&lt;div style=&quot;text-align: center;&quot;&gt;&lt;strong&gt;जो गिरने पर संभाले और आगे बढ़ना सिखाए,&lt;/strong&gt;&lt;/div&gt;&lt;div style=&quot;text-align: center;&quot;&gt;&lt;strong&gt;वही सच्चा गुरु कहलाए।&lt;/strong&gt;&lt;/div&gt;&lt;/strong&gt;&lt;p&gt;&lt;/p&gt;&lt;h1&gt;🎓 Teachers’ Day: The Quiet Heroes Who Shape Our Tomorrow&lt;/h1&gt;&lt;p&gt;Every year on &lt;strong&gt;5th September&lt;/strong&gt;, India celebrates &lt;strong&gt;Teachers’ Day&lt;/strong&gt; — a special occasion dedicated to the people who guide us, inspire us, correct us, and help shape our future.&lt;/p&gt;&lt;p&gt;But Teachers’ Day is not just about flowers, greeting cards, gifts, speeches, or social media posts. It is about something much deeper.&lt;/p&gt;&lt;p&gt;It is about the invisible connection between a teacher’s belief in a student and the moment when that student finally begins to believe in themselves.&lt;/p&gt;&lt;p&gt;A teacher does not simply teach lessons from a textbook. A true teacher gives direction to life, lights a lamp in moments of darkness, and helps students become not only successful individuals but also better human beings.&lt;/p&gt;&lt;p style=&quot;text-align: center;&quot;&gt;&lt;strong&gt;Happy Teachers’ Day! 🌹&lt;/strong&gt;&lt;/p&gt;&lt;hr /&gt;&lt;h2&gt;🌟 The Meaning of a Teacher&lt;/h2&gt;&lt;p&gt;Think about your life for a moment.&lt;/p&gt;&lt;p&gt;Somewhere along the journey, there may have been a teacher who saw potential in you before you could see it yourself.&lt;/p&gt;&lt;p&gt;Maybe it was the teacher who stayed after class to explain a difficult topic one more time.&lt;/p&gt;&lt;p&gt;Maybe it was someone who noticed that you were struggling and simply asked:&lt;/p&gt;&lt;p&gt;&lt;strong&gt;“Is everything okay?”&lt;/strong&gt;&lt;/p&gt;&lt;p&gt;Or perhaps it was the teacher who looked at you after a poor result and said:&lt;/p&gt;&lt;p&gt;&lt;strong&gt;“You can do better. I believe in you.”&lt;/strong&gt;&lt;/p&gt;&lt;p&gt;Sometimes, just a few words from a teacher can completely change the direction of a student&#39;s life.&lt;/p&gt;&lt;p&gt;That is the real power of a teacher.&lt;/p&gt;&lt;h3&gt;**गुरु वो नहीं जो सिर्फ किताबों का ज्ञान दे,&lt;/h3&gt;&lt;p&gt;गुरु वो है जो जीवन को सही पहचान दे।&lt;br /&gt;मुश्किलों में हौसला और सपनों को उड़ान दे,&lt;br /&gt;अंधेरी राहों में भी जो उम्मीद की पहचान दे।**&lt;/p&gt;&lt;hr /&gt;&lt;h1&gt;🇮🇳 Why Do We Celebrate Teachers’ Day on 5th September?&lt;/h1&gt;&lt;p&gt;In India, Teachers’ Day is celebrated every year on &lt;strong&gt;5th September&lt;/strong&gt;, the birth anniversary of &lt;strong&gt;Dr. Sarvepalli Radhakrishnan&lt;/strong&gt; — a respected teacher, philosopher, scholar, and the second President of India.&lt;/p&gt;&lt;p&gt;He believed deeply in the importance of education and teachers in building a strong society.&lt;/p&gt;&lt;p&gt;His life reminds us that education is not just about gaining knowledge or passing examinations. Education is also about developing character, values, wisdom, and the ability to think.&lt;/p&gt;&lt;p&gt;Teachers play a major role in this journey.&lt;/p&gt;&lt;p&gt;They help transform curious children into confident individuals and guide students toward becoming responsible citizens.&lt;/p&gt;&lt;hr /&gt;&lt;h1&gt;📚 Teachers Do More Than Teach Subjects&lt;/h1&gt;&lt;p&gt;A teacher standing in front of a classroom is doing much more than explaining chapters and preparing students for examinations.&lt;/p&gt;&lt;p&gt;Teachers teach us:&lt;/p&gt;&lt;ul&gt;&lt;li&gt;&lt;p&gt;The difference between right and wrong.&lt;/p&gt;&lt;/li&gt;&lt;li&gt;&lt;p&gt;How to remain strong after failure.&lt;/p&gt;&lt;/li&gt;&lt;li&gt;&lt;p&gt;How to speak with confidence.&lt;/p&gt;&lt;/li&gt;&lt;li&gt;&lt;p&gt;How to work with discipline.&lt;/p&gt;&lt;/li&gt;&lt;li&gt;&lt;p&gt;How to believe in ourselves.&lt;/p&gt;&lt;/li&gt;&lt;li&gt;&lt;p&gt;How to keep trying when things become difficult.&lt;/p&gt;&lt;/li&gt;&lt;li&gt;&lt;p&gt;How to dream bigger and work harder.&lt;/p&gt;&lt;/li&gt;&lt;/ul&gt;&lt;p&gt;And perhaps the most important lesson of all:&lt;/p&gt;&lt;p&gt;&lt;strong&gt;They teach us how to become better human beings.&lt;/strong&gt;&lt;/p&gt;&lt;p&gt;A mathematics teacher may teach us how to solve equations.&lt;/p&gt;&lt;p&gt;A science teacher may explain the laws of nature.&lt;/p&gt;&lt;p&gt;An English teacher may teach us how to express our thoughts.&lt;/p&gt;&lt;p&gt;But every good teacher also teaches something beyond the syllabus.&lt;/p&gt;&lt;p&gt;They teach patience.&lt;/p&gt;&lt;p&gt;They teach courage.&lt;/p&gt;&lt;p&gt;They teach discipline.&lt;/p&gt;&lt;p&gt;They teach responsibility.&lt;/p&gt;&lt;p&gt;And sometimes, without even realizing it, they teach lessons that stay with us for the rest of our lives.&lt;/p&gt;&lt;hr /&gt;&lt;h2&gt;✨ **“किताबों से तो हर कोई ज्ञान पा लेता है,&lt;/h2&gt;&lt;p&gt;पर जीवन जीना एक अच्छा शिक्षक सिखाता है।&lt;br /&gt;राहें चाहे कितनी भी कठिन क्यों न हों,&lt;br /&gt;गुरु का मार्गदर्शन मंज़िल तक पहुँचाता है।”**&lt;/p&gt;&lt;hr /&gt;&lt;h1&gt;💪 Teachers Help Us Believe in Ourselves&lt;/h1&gt;&lt;p&gt;One of the greatest gifts a teacher can give a student is &lt;strong&gt;confidence&lt;/strong&gt;.&lt;/p&gt;&lt;p&gt;There are moments when students doubt themselves.&lt;/p&gt;&lt;p&gt;They may think:&lt;/p&gt;&lt;p&gt;&lt;em&gt;“I am not good enough.”&lt;/em&gt;&lt;/p&gt;&lt;p&gt;&lt;em&gt;“I cannot understand this.”&lt;/em&gt;&lt;/p&gt;&lt;p&gt;&lt;em&gt;“I will never succeed.”&lt;/em&gt;&lt;/p&gt;&lt;p&gt;But sometimes, a teacher sees something that the student cannot yet see.&lt;/p&gt;&lt;p&gt;They see potential.&lt;/p&gt;&lt;p&gt;They see talent.&lt;/p&gt;&lt;p&gt;They see possibility.&lt;/p&gt;&lt;p&gt;A simple sentence such as &lt;strong&gt;“You can do it”&lt;/strong&gt; can become the motivation that a student carries for years.&lt;/p&gt;&lt;p&gt;Great teachers plant seeds of confidence that may take years to grow.&lt;/p&gt;&lt;p&gt;And even if teachers never get to see the full result of their efforts, those seeds eventually grow into strong, kind, successful, and capable individuals.&lt;/p&gt;&lt;p&gt;That is why teaching is one of the most powerful professions in the world.&lt;/p&gt;&lt;hr /&gt;&lt;h1&gt;🌱 Teachers Are the Quiet Heroes of Society&lt;/h1&gt;&lt;p&gt;Teachers often work silently.&lt;/p&gt;&lt;p&gt;They prepare lessons.&lt;/p&gt;&lt;p&gt;They check notebooks.&lt;/p&gt;&lt;p&gt;They answer questions.&lt;/p&gt;&lt;p&gt;They repeat the same explanation again and again.&lt;/p&gt;&lt;p&gt;They correct mistakes.&lt;/p&gt;&lt;p&gt;Sometimes they are strict.&lt;/p&gt;&lt;p&gt;Sometimes students may even feel that their teachers are giving them too much homework or too many assignments.&lt;/p&gt;&lt;p&gt;But behind that effort is usually one simple purpose:&lt;/p&gt;&lt;p&gt;&lt;strong&gt;To help students become better than they were yesterday.&lt;/strong&gt;&lt;/p&gt;&lt;p&gt;Your teacher is not the person standing between you and freedom.&lt;/p&gt;&lt;p&gt;Your teacher is the person trying to prepare you for a world that will not always be easy, kind, patient, or fair.&lt;/p&gt;&lt;p&gt;Every correction, every piece of advice, and every difficult assignment can become part of the preparation for your future.&lt;/p&gt;&lt;p&gt;Of course, respect does not mean blind obedience.&lt;/p&gt;&lt;p&gt;Respect means:&lt;/p&gt;&lt;ul&gt;&lt;li&gt;&lt;p&gt;Listening carefully.&lt;/p&gt;&lt;/li&gt;&lt;li&gt;&lt;p&gt;Speaking politely.&lt;/p&gt;&lt;/li&gt;&lt;li&gt;&lt;p&gt;Asking questions respectfully.&lt;/p&gt;&lt;/li&gt;&lt;li&gt;&lt;p&gt;Trying honestly.&lt;/p&gt;&lt;/li&gt;&lt;li&gt;&lt;p&gt;Accepting correction.&lt;/p&gt;&lt;/li&gt;&lt;li&gt;&lt;p&gt;Showing gratitude to those who invest their time in our growth.&lt;/p&gt;&lt;/li&gt;&lt;/ul&gt;&lt;p&gt;A simple &lt;strong&gt;“Thank you, Sir”&lt;/strong&gt; or &lt;strong&gt;“Thank you, Ma’am”&lt;/strong&gt; may seem small, but it can mean more than we realise.&lt;/p&gt;&lt;hr /&gt;&lt;h3&gt;🌼 **शिक्षक वो दीपक हैं जो खुद जलते रहते हैं,&lt;/h3&gt;&lt;p&gt;और दूसरों की ज़िंदगी में रोशनी भरते रहते हैं।&lt;br /&gt;उनकी मेहनत का कोई हिसाब नहीं होता,&lt;br /&gt;वो हर दिन हमें बेहतर बनाने में लगे रहते हैं।**&lt;/p&gt;&lt;hr /&gt;&lt;h1&gt;❤️ Why Is Respecting Teachers So Important?&lt;/h1&gt;&lt;p&gt;Today, we live in a fast-moving digital world.&lt;/p&gt;&lt;p&gt;Students have access to smartphones, artificial intelligence, videos, online courses, and unlimited information.&lt;/p&gt;&lt;p&gt;But information and wisdom are not the same thing.&lt;/p&gt;&lt;p&gt;A search engine can provide an answer.&lt;/p&gt;&lt;p&gt;A teacher can help you understand &lt;strong&gt;why that answer matters&lt;/strong&gt;.&lt;/p&gt;&lt;p&gt;Technology can provide information.&lt;/p&gt;&lt;p&gt;But a teacher can provide guidance.&lt;/p&gt;&lt;p&gt;A screen can show you a lesson.&lt;/p&gt;&lt;p&gt;But a teacher can understand your confusion, encourage you when you fail, and guide you according to your strengths and weaknesses.&lt;/p&gt;&lt;p&gt;That human connection is something truly special.&lt;/p&gt;&lt;p&gt;A good teacher does not just create good students.&lt;/p&gt;&lt;p&gt;&lt;strong&gt;A good teacher helps create good citizens and better human beings.&lt;/strong&gt;&lt;/p&gt;&lt;hr /&gt;&lt;h1&gt;🎯 A Message to Every Student&lt;/h1&gt;&lt;p&gt;If you are a student reading this, remember one important thing:&lt;/p&gt;&lt;p&gt;Your teacher may not always be perfect.&lt;/p&gt;&lt;p&gt;Sometimes they may be strict.&lt;/p&gt;&lt;p&gt;Sometimes you may disagree with them.&lt;/p&gt;&lt;p&gt;Sometimes you may not understand why they are correcting you.&lt;/p&gt;&lt;p&gt;But learning to respect the people who guide us is an important part of growing up.&lt;/p&gt;&lt;p&gt;The students who succeed in life are not necessarily those who never make mistakes.&lt;/p&gt;&lt;p&gt;They are often the ones who learn from their mistakes, accept guidance, and continue moving forward.&lt;/p&gt;&lt;p&gt;So the next time your teacher explains something for the second, third, or even fourth time, remember that someone is giving their time and energy to help you understand.&lt;/p&gt;&lt;p&gt;That is something worth appreciating.&lt;/p&gt;&lt;hr /&gt;&lt;h2&gt;🌹 **गुरु की डांट में भी प्यार छुपा होता है,&lt;/h2&gt;&lt;p&gt;हर सीख में जीवन का सार छुपा होता है।&lt;br /&gt;जो समझ ले शिक्षक की मेहनत को,&lt;br /&gt;उसके भविष्य में सफलता का संसार छुपा होता है।**&lt;/p&gt;&lt;hr /&gt;&lt;h1&gt;🌟 This Teachers’ Day, Do Something Different&lt;/h1&gt;&lt;p&gt;This year, instead of only posting a &lt;strong&gt;“Happy Teachers’ Day”&lt;/strong&gt; status, try doing something meaningful.&lt;/p&gt;&lt;h3&gt;You can:&lt;/h3&gt;&lt;p&gt;&lt;strong&gt;✍️ Write a short message&lt;/strong&gt; to a teacher who made a difference in your life.&lt;/p&gt;&lt;p&gt;&lt;strong&gt;📞 Call an old teacher&lt;/strong&gt; and simply say thank you.&lt;/p&gt;&lt;p&gt;&lt;strong&gt;👩‍🏫 Pay full attention in class&lt;/strong&gt;, not because you are forced to, but because someone is sharing their knowledge with you.&lt;/p&gt;&lt;p&gt;&lt;strong&gt;🤝 Help a classmate&lt;/strong&gt; who is struggling with a subject.&lt;/p&gt;&lt;p&gt;Helping someone learn is one of the most beautiful ways to honour a teacher.&lt;/p&gt;&lt;p&gt;&lt;strong&gt;🙏 Show gratitude&lt;/strong&gt; for the people who believed in you when you were still trying to find confidence in yourself.&lt;/p&gt;&lt;p&gt;Sometimes the smallest gesture can create the biggest smile.&lt;/p&gt;&lt;p&gt;A simple message saying:&lt;/p&gt;&lt;p&gt;&lt;strong&gt;“Thank you, Sir/Ma’am. Your guidance has helped me a lot.”&lt;/strong&gt;&lt;/p&gt;&lt;p&gt;can become one of the most meaningful gifts a teacher receives.&lt;/p&gt;&lt;hr /&gt;&lt;h1&gt;🌍 The Impact of a Great Teacher&lt;/h1&gt;&lt;p&gt;The influence of a teacher does not end when the school bell rings.&lt;/p&gt;&lt;p&gt;It continues.&lt;/p&gt;&lt;p&gt;A lesson learned in a classroom may help someone years later.&lt;/p&gt;&lt;p&gt;A word of encouragement may give someone the courage to follow their dreams.&lt;/p&gt;&lt;p&gt;A teacher&#39;s belief may help a student overcome self-doubt.&lt;/p&gt;&lt;p&gt;A piece of advice may prevent someone from making a serious mistake.&lt;/p&gt;&lt;p&gt;Teachers may forget some of the lessons they taught.&lt;/p&gt;&lt;p&gt;But students often remember the teachers who changed the way they felt about themselves.&lt;/p&gt;&lt;p&gt;Years later, students may forget formulas, dates, and definitions.&lt;/p&gt;&lt;p&gt;But they rarely forget the teacher who made them feel capable.&lt;/p&gt;&lt;p&gt;That is the true legacy of a great teacher.&lt;/p&gt;&lt;hr /&gt;&lt;h2&gt;💐 **शिक्षक खुद छाया में खड़े रहते हैं,&lt;/h2&gt;&lt;p&gt;और हमें धूप में चमकना सिखाते हैं।&lt;br /&gt;अपनी मेहनत से हमारे सपनों को सजाते हैं,&lt;br /&gt;और हमें हमारी मंज़िल तक पहुँचाते हैं।**&lt;/p&gt;&lt;hr /&gt;&lt;h1&gt;🙏 A Special Message to Every Teacher&lt;/h1&gt;&lt;p&gt;To every teacher reading this:&lt;/p&gt;&lt;p&gt;&lt;strong&gt;Thank you.&lt;/strong&gt;&lt;/p&gt;&lt;p&gt;Thank you for explaining the same lesson again when we did not understand.&lt;/p&gt;&lt;p&gt;Thank you for correcting us when we made mistakes.&lt;/p&gt;&lt;p&gt;Thank you for believing in us, even on the days when we made it difficult.&lt;/p&gt;&lt;p&gt;Thank you for your patience.&lt;/p&gt;&lt;p&gt;Thank you for your guidance.&lt;/p&gt;&lt;p&gt;Thank you for your dedication.&lt;/p&gt;&lt;p&gt;And most importantly:&lt;/p&gt;&lt;p&gt;&lt;strong&gt;Thank you for helping us become who we are today.&lt;/strong&gt;&lt;/p&gt;&lt;p&gt;Teachers may not always receive the recognition they deserve.&lt;/p&gt;&lt;p&gt;But behind almost every successful person, there is usually someone who taught them, guided them, encouraged them, or simply believed in them.&lt;/p&gt;&lt;hr /&gt;&lt;h1&gt;🌸 Final Thoughts&lt;/h1&gt;&lt;p&gt;A teacher is like a lamp that lights the path for others.&lt;/p&gt;&lt;p&gt;A teacher may stand quietly in the background while their students move forward and shine.&lt;/p&gt;&lt;p&gt;That is the beauty of teaching.&lt;/p&gt;&lt;p&gt;Teachers do not always ask for recognition.&lt;/p&gt;&lt;p&gt;Their greatest happiness is often seeing their students succeed.&lt;/p&gt;&lt;p&gt;So, on this Teachers’ Day, let us not limit our appreciation to one day, one greeting card, or one social media post.&lt;/p&gt;&lt;p&gt;Let us show respect throughout the year.&lt;/p&gt;&lt;p&gt;Let us remember the teachers who shaped our thoughts, strengthened our confidence, and guided us toward a better future.&lt;/p&gt;&lt;p&gt;Because teachers do not simply prepare students for examinations.&lt;/p&gt;&lt;h2&gt;&lt;strong&gt;They prepare them for life.&lt;/strong&gt;&lt;/h2&gt;&lt;h3&gt;🌺 **गुरु का सम्मान शब्दों से नहीं,&lt;/h3&gt;&lt;p&gt;उनकी सीख को जीवन में अपनाने से होता है।&lt;br /&gt;सबसे बड़ा धन्यवाद वही होता है,&lt;br /&gt;जब एक शिष्य अपने जीवन में सफल होता है।**&lt;/p&gt;&lt;hr /&gt;&lt;h1&gt;🌹 Happy Teachers’ Day! 🌹&lt;/h1&gt;&lt;p&gt;&lt;strong&gt;To every teacher who teaches, guides, inspires, corrects, motivates, and believes — thank you.&lt;/strong&gt;&lt;/p&gt;&lt;p&gt;&lt;strong&gt;Your contribution is priceless.&lt;br /&gt;Your guidance is unforgettable.&lt;br /&gt;Your impact lasts a lifetime.&lt;/strong&gt;&lt;/p&gt;&lt;h3&gt;&lt;strong&gt;The greatest gift a student can give a teacher is not just saying “Thank You” — it is rising higher because of the lessons they received.&lt;/strong&gt;&lt;/h3&gt;&lt;p&gt;&lt;strong&gt;Happy Teachers’ Day to all the wonderful teachers!&lt;/strong&gt;&lt;/p&gt;&lt;h3&gt;🙏 Thank you for your guidance, patience, dedication, and love.&lt;/h3&gt;&lt;h2&gt;🇮🇳 जय हिंद! 🇮🇳&lt;/h2&gt;</content><link rel='replies' type='application/atom+xml' href='http://www.updateans.com/feeds/492172587891355115/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://www.updateans.com/2026/09/teachers-day-quiet-heroes-who-shape-our.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/492172587891355115'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/492172587891355115'/><link rel='alternate' type='text/html' href='http://www.updateans.com/2026/09/teachers-day-quiet-heroes-who-shape-our.html' title='Happy Teachers&#39; Day'/><author><name>ANS</name><uri>http://www.blogger.com/profile/01097653302417848438</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='24' height='32' src='//blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgO9frEzsqifivIEIigaZPjivXEGfEkLLnsAcfEVVAbQ-uZIWWcJZVg6w-SlaWP6MDF8Ab5kkLXg-niEy3gl1JfedAw12mmDlfTw10CgLAxwm_MRWJqND_mGLKoGPRsAw/s113/IMG_20200225_071338.jpg'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3172376283061609300.post-7453262420251754889</id><published>2026-08-27T15:57:41.302+05:30</published><updated>2026-08-27T16:01:22.556+05:30</updated><category scheme="http://www.blogger.com/atom/ns#" term="blog"/><title type='text'>Half Yearly Exam End - Next What? How to Study after Half Yearly Exam</title><content type='html'>&lt;p dir=&quot;auto&quot; style=&quot;white-space: pre-wrap;&quot;&gt;&lt;strong&gt;After Half-Yearlies: This Is Where Champions Are Made&lt;/strong&gt;&lt;/p&gt;&lt;p dir=&quot;auto&quot; style=&quot;white-space: pre-wrap;&quot;&gt;The half-yearly exams are over.&lt;br /&gt;
The marks are out.&lt;br /&gt;
Some of you are smiling. Some of you are disappointed. Most of you are somewhere in between.&lt;/p&gt;&lt;p dir=&quot;auto&quot; style=&quot;white-space: pre-wrap;&quot;&gt;Here’s the truth nobody tells you loudly enough:&lt;/p&gt;&lt;p dir=&quot;auto&quot; style=&quot;white-space: pre-wrap;&quot;&gt;&lt;strong&gt;The second half of the year is where the real ranking is decided.&lt;/strong&gt;&lt;/p&gt;&lt;p dir=&quot;auto&quot; style=&quot;white-space: pre-wrap;&quot;&gt;Half-yearlies were just the warm-up. What you do from this moment until the final exams will separate the average from the exceptional — especially in Math and Physics, the two subjects that punish half-hearted effort and reward ruthless consistency.&lt;/p&gt;&lt;p dir=&quot;auto&quot; style=&quot;white-space: pre-wrap;&quot;&gt;This is not another soft “study tips” article.&lt;br /&gt;
This is a battle plan.&lt;/p&gt;&lt;h3 dir=&quot;auto&quot;&gt;Step 1: Face the Mirror (Do This Today)&lt;/h3&gt;&lt;p dir=&quot;auto&quot; style=&quot;white-space: pre-wrap;&quot;&gt;Open your half-yearly papers right now.&lt;br /&gt;
Not tomorrow. Today.&lt;/p&gt;&lt;p dir=&quot;auto&quot; style=&quot;white-space: pre-wrap;&quot;&gt;Mark every single place you lost marks. Then divide them into three ruthless categories:&lt;/p&gt;&lt;ul dir=&quot;auto&quot;&gt;
&lt;li&gt;I didn’t understand the concept&lt;/li&gt;
&lt;li&gt;I understood it but made calculation or silly mistakes&lt;/li&gt;
&lt;li&gt;I ran out of time or left questions incomplete&lt;/li&gt;
&lt;/ul&gt;&lt;p dir=&quot;auto&quot; style=&quot;white-space: pre-wrap;&quot;&gt;Write them down. These are not failures — these are your exact targets.&lt;br /&gt;
Most students keep repeating the same mistakes year after year because they never do this simple, uncomfortable step.&lt;/p&gt;&lt;p dir=&quot;auto&quot; style=&quot;white-space: pre-wrap;&quot;&gt;Do it. Own it.&lt;/p&gt;&lt;h3 dir=&quot;auto&quot;&gt;Step 2: Rebuild the Foundation Like Your Career Depends on It&lt;/h3&gt;&lt;p dir=&quot;auto&quot; style=&quot;white-space: pre-wrap;&quot;&gt;Math and Physics are not subjects you can “cover.” They are structures. If the base is weak, the entire building collapses under exam pressure.&lt;/p&gt;&lt;p dir=&quot;auto&quot; style=&quot;white-space: pre-wrap;&quot;&gt;&lt;strong&gt;For Math:&lt;/strong&gt;&lt;br /&gt;
Go back to the chapters that feed everything else. Algebra, trigonometry, basic calculus foundations, coordinate geometry. Rewrite every important formula and derivation with your own hand. Then attack 15 mixed problems a day from your weak areas before you touch anything new. No shortcuts. No “I’ll revise later.”&lt;/p&gt;&lt;p dir=&quot;auto&quot; style=&quot;white-space: pre-wrap;&quot;&gt;&lt;strong&gt;For Physics:&lt;/strong&gt;&lt;br /&gt;
Stop treating formulas like magic spells. For every major equation write four things:&lt;/p&gt;&lt;ol dir=&quot;auto&quot;&gt;
&lt;li&gt;The exact statement&lt;/li&gt;
&lt;li&gt;The conditions under which it is valid&lt;/li&gt;
&lt;li&gt;Two real applications&lt;/li&gt;
&lt;li&gt;The most common mistakes students make&lt;/li&gt;
&lt;/ol&gt;&lt;p dir=&quot;auto&quot; style=&quot;white-space: pre-wrap;&quot;&gt;Then solve numericals the professional way: list knowns, unknowns, and the correct principle before you touch the calculator. Train this until it becomes automatic.&lt;/p&gt;&lt;h3 dir=&quot;auto&quot;&gt;Step 3: Install a Weekly System That Actually Wins&lt;/h3&gt;&lt;p dir=&quot;auto&quot; style=&quot;white-space: pre-wrap;&quot;&gt;Motivation is temporary. Systems are permanent.&lt;/p&gt;&lt;p dir=&quot;auto&quot; style=&quot;white-space: pre-wrap;&quot;&gt;Build this simple but powerful weekly rhythm:&lt;/p&gt;&lt;ul dir=&quot;auto&quot;&gt;
&lt;li&gt;4–5 days → Current syllabus + new concepts&lt;/li&gt;
&lt;li&gt;2 days → Ruthless revision of half-yearly weak areas&lt;/li&gt;
&lt;li&gt;Every single day → 30–40 minutes of pure formula &amp;amp; concept recall (Math identities + Physics equations + units)&lt;/li&gt;
&lt;/ul&gt;&lt;p dir=&quot;auto&quot; style=&quot;white-space: pre-wrap;&quot;&gt;Use the &lt;strong&gt;3-Layer Attack&lt;/strong&gt; on every topic:&lt;/p&gt;&lt;ol dir=&quot;auto&quot;&gt;
&lt;li&gt;Understand it deeply&lt;/li&gt;
&lt;li&gt;Solve standard problems without looking&lt;/li&gt;
&lt;li&gt;Crush mixed and previous-year questions under strict time&lt;/li&gt;
&lt;/ol&gt;&lt;p dir=&quot;auto&quot; style=&quot;white-space: pre-wrap;&quot;&gt;Most students stop at Layer 1 or 2. The ones who dominate exams live in Layer 3.&lt;/p&gt;&lt;h3 dir=&quot;auto&quot;&gt;Math – Turn It Into a Weapon&lt;/h3&gt;&lt;ul dir=&quot;auto&quot;&gt;
&lt;li&gt;Keep an Error Log. Every wrong question goes in with the correct method and the exact reason you failed. Review it every weekend.&lt;/li&gt;
&lt;li&gt;Practice in focused sets, then immediately mix the types. Exam questions never come chapter-wise.&lt;/li&gt;
&lt;li&gt;Rewrite proofs and derivations from memory the next day. Active recall is non-negotiable.&lt;/li&gt;
&lt;li&gt;Do one timed mini-mock every week. Speed + accuracy is a skill, and skills are trained.&lt;/li&gt;
&lt;/ul&gt;&lt;h3 dir=&quot;auto&quot;&gt;Physics – Master the Thinking, Not Just the Formulas&lt;/h3&gt;&lt;ul dir=&quot;auto&quot;&gt;
&lt;li&gt;Separate pure concept days from numerical days. Many students drown in numericals and stay weak on theory and derivations.&lt;/li&gt;
&lt;li&gt;Draw free-body diagrams, ray diagrams, and circuit diagrams even when the question doesn’t ask. Clarity is power.&lt;/li&gt;
&lt;li&gt;Treat units and dimensional analysis as free marks and error detectors. Use them every time.&lt;/li&gt;
&lt;li&gt;Connect chapters aggressively. The best questions live at the intersection of topics.&lt;/li&gt;
&lt;/ul&gt;&lt;h3 dir=&quot;auto&quot;&gt;The Non-Negotiables&lt;/h3&gt;&lt;p dir=&quot;auto&quot; style=&quot;white-space: pre-wrap;&quot;&gt;One strong textbook + one reliable reference book. That’s it.&lt;br /&gt;
Teach the concept out loud as if explaining to a junior. If you can’t teach it, you don’t own it.&lt;br /&gt;
Sleep is not optional. A tired brain is a slow brain — and slow brains lose marks in Physics numericals and lengthy Math problems.&lt;/p&gt;&lt;h3 dir=&quot;auto&quot;&gt;Final Truth&lt;/h3&gt;&lt;p dir=&quot;auto&quot; style=&quot;white-space: pre-wrap;&quot;&gt;Your half-yearly result is not your destiny.&lt;br /&gt;
It is data.&lt;/p&gt;&lt;p dir=&quot;auto&quot; style=&quot;white-space: pre-wrap;&quot;&gt;Students who scored average in half-yearlies and then executed a sharp, consistent plan in the second half regularly finish in the top ranks. The ones who keep studying the same old way stay exactly where they are.&lt;/p&gt;&lt;p dir=&quot;auto&quot; style=&quot;white-space: pre-wrap;&quot;&gt;From this day, study like someone who has decided to win.&lt;/p&gt;&lt;p dir=&quot;auto&quot; style=&quot;white-space: pre-wrap;&quot;&gt;Analyse. Rebuild. Attack with a system.&lt;br /&gt;
Track progress weekly. Improve daily.&lt;/p&gt;&lt;p dir=&quot;auto&quot; style=&quot;white-space: pre-wrap;&quot;&gt;The final exams are not going to wait for you to “feel motivated.”&lt;br /&gt;
They reward those who start today and refuse to stop.&lt;/p&gt;&lt;p&gt;




































&lt;/p&gt;&lt;p dir=&quot;auto&quot; style=&quot;white-space: pre-wrap;&quot;&gt;This is your moment.&lt;br /&gt;
Make it count.&lt;/p&gt;</content><link rel='replies' type='application/atom+xml' href='http://www.updateans.com/feeds/7453262420251754889/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://www.updateans.com/2026/08/half-yearly-exam-end-next-what.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/7453262420251754889'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/7453262420251754889'/><link rel='alternate' type='text/html' href='http://www.updateans.com/2026/08/half-yearly-exam-end-next-what.html' title='Half Yearly Exam End - Next What? How to Study after Half Yearly Exam'/><author><name>ANS</name><uri>http://www.blogger.com/profile/01097653302417848438</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='24' height='32' src='//blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgO9frEzsqifivIEIigaZPjivXEGfEkLLnsAcfEVVAbQ-uZIWWcJZVg6w-SlaWP6MDF8Ab5kkLXg-niEy3gl1JfedAw12mmDlfTw10CgLAxwm_MRWJqND_mGLKoGPRsAw/s113/IMG_20200225_071338.jpg'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3172376283061609300.post-6895772861954324457</id><published>2026-08-20T18:24:17.062+05:30</published><updated>2026-08-20T18:24:17.063+05:30</updated><category scheme="http://www.blogger.com/atom/ns#" term="class 8"/><title type='text'>Two pipes P and Q would fill an empty cistern in 24 minutes and 32 minutes respectively. Both pipes open together, find when first pipes must be turned off so that empty cistern may be just filled in 16 minutes. Class 8 </title><content type='html'>&lt;p&gt;&amp;nbsp;&lt;/p&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/AVvXsEgSWmUZG-aanwci9d_cyU2U2Ie6_CGnoItmz3uobFNYFGSbjU0TzsgnIgUJw-ieCQNOXGCbnXeJr9jqO4b4mIzRo1nqnT8EYDSlE5RzEzoq2kvam5w8YUrf-cEYhSIe9g-JIvuhd5vhH9TBeX9ibwTP-fMQccZ9OvQd02pSyNAuBv0AuC9PkMN0KuGk0Ig/s1280/class%208%20pipe%20math.jpeg&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;Two pipes P and Q would fill an empty cistern in 24 minutes and 32 minutes respectively. Both pipes open together, find when first pipes must be turned off so that empty cistern may be just filled in 16 minutes. Class 8&quot; border=&quot;0&quot; data-original-height=&quot;1280&quot; data-original-width=&quot;1076&quot; height=&quot;640&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgSWmUZG-aanwci9d_cyU2U2Ie6_CGnoItmz3uobFNYFGSbjU0TzsgnIgUJw-ieCQNOXGCbnXeJr9jqO4b4mIzRo1nqnT8EYDSlE5RzEzoq2kvam5w8YUrf-cEYhSIe9g-JIvuhd5vhH9TBeX9ibwTP-fMQccZ9OvQd02pSyNAuBv0AuC9PkMN0KuGk0Ig/w538-h640/class%208%20pipe%20math.jpeg&quot; title=&quot;Two pipes P and Q would fill an empty cistern in 24 minutes and 32 minutes respectively. Both pipes open together, find when first pipes must be turned off so that empty cistern may be just filled in 16 minutes. Class 8&quot; width=&quot;538&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;br /&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;ANSWER- Turn off after 12 Minutes&lt;/div&gt;&lt;br /&gt;&lt;p&gt;&lt;/p&gt;</content><link rel='replies' type='application/atom+xml' href='http://www.updateans.com/feeds/6895772861954324457/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://www.updateans.com/2026/08/two-pipes-p-and-q-would-fill-empty.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/6895772861954324457'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/6895772861954324457'/><link rel='alternate' type='text/html' href='http://www.updateans.com/2026/08/two-pipes-p-and-q-would-fill-empty.html' title='Two pipes P and Q would fill an empty cistern in 24 minutes and 32 minutes respectively. Both pipes open together, find when first pipes must be turned off so that empty cistern may be just filled in 16 minutes. Class 8 '/><author><name>ANS</name><uri>http://www.blogger.com/profile/01097653302417848438</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='24' height='32' src='//blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgO9frEzsqifivIEIigaZPjivXEGfEkLLnsAcfEVVAbQ-uZIWWcJZVg6w-SlaWP6MDF8Ab5kkLXg-niEy3gl1JfedAw12mmDlfTw10CgLAxwm_MRWJqND_mGLKoGPRsAw/s113/IMG_20200225_071338.jpg'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgSWmUZG-aanwci9d_cyU2U2Ie6_CGnoItmz3uobFNYFGSbjU0TzsgnIgUJw-ieCQNOXGCbnXeJr9jqO4b4mIzRo1nqnT8EYDSlE5RzEzoq2kvam5w8YUrf-cEYhSIe9g-JIvuhd5vhH9TBeX9ibwTP-fMQccZ9OvQd02pSyNAuBv0AuC9PkMN0KuGk0Ig/s72-w538-h640-c/class%208%20pipe%20math.jpeg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3172376283061609300.post-2813702135095738471</id><published>2026-08-09T16:17:31.704+05:30</published><updated>2026-08-09T16:17:31.704+05:30</updated><category scheme="http://www.blogger.com/atom/ns#" term="Class 10"/><category scheme="http://www.blogger.com/atom/ns#" term="Math Questions"/><title type='text'>ICSE Class 10 Math Test Chapter- 4 to 10 FM 30</title><content type='html'>&lt;p&gt;&lt;/p&gt;&lt;div class=&quot;separator&quot; 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/&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&amp;nbsp;&lt;p&gt;&lt;/p&gt;</content><link rel='replies' type='application/atom+xml' href='http://www.updateans.com/feeds/2813702135095738471/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://www.updateans.com/2026/08/icse-class-10-math-test-chapter-4-to-10.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/2813702135095738471'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/2813702135095738471'/><link rel='alternate' type='text/html' href='http://www.updateans.com/2026/08/icse-class-10-math-test-chapter-4-to-10.html' title='ICSE Class 10 Math Test Chapter- 4 to 10 FM 30'/><author><name>ANS</name><uri>http://www.blogger.com/profile/01097653302417848438</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='24' height='32' src='//blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgO9frEzsqifivIEIigaZPjivXEGfEkLLnsAcfEVVAbQ-uZIWWcJZVg6w-SlaWP6MDF8Ab5kkLXg-niEy3gl1JfedAw12mmDlfTw10CgLAxwm_MRWJqND_mGLKoGPRsAw/s113/IMG_20200225_071338.jpg'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjgTPR0KxrDWTLFMeR4yUKrZIrpMAVVc8L0O9RltU3Y2v_hk2N2YClt0vLjJptgZXlnj8uLnvOvD7IEfxl1rLiaiz6zILHmW9z_I5JAk_blp6pCLPaJytGeQac3fJkTUC9K87Jvyfd49TgaDcLzTupcyxTNEEa8BqduZRcoCJa05abK-m26LAM836zGtUw/s72-w452-h640-c/class%2010%20paper.jpeg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3172376283061609300.post-1888205919208572712</id><published>2026-08-05T17:29:56.067+05:30</published><updated>2026-08-05T17:29:59.267+05:30</updated><category scheme="http://www.blogger.com/atom/ns#" term="Class 10"/><category scheme="http://www.blogger.com/atom/ns#" term="Math Questions"/><title type='text'>ICSE Class 10 Math Test Ch - 1,2,15,17,25 FM 30</title><content type='html'>&lt;p&gt;&lt;/p&gt;&lt;div class=&quot;separator&quot; 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/&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&amp;nbsp;&lt;p&gt;&lt;/p&gt;</content><link rel='replies' type='application/atom+xml' href='http://www.updateans.com/feeds/1888205919208572712/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://www.updateans.com/2026/08/icse-class-10-math-test-ch-12151725-fm.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/1888205919208572712'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/1888205919208572712'/><link rel='alternate' type='text/html' href='http://www.updateans.com/2026/08/icse-class-10-math-test-ch-12151725-fm.html' title='ICSE Class 10 Math Test Ch - 1,2,15,17,25 FM 30'/><author><name>ANS</name><uri>http://www.blogger.com/profile/01097653302417848438</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='24' height='32' src='//blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgO9frEzsqifivIEIigaZPjivXEGfEkLLnsAcfEVVAbQ-uZIWWcJZVg6w-SlaWP6MDF8Ab5kkLXg-niEy3gl1JfedAw12mmDlfTw10CgLAxwm_MRWJqND_mGLKoGPRsAw/s113/IMG_20200225_071338.jpg'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjM6TngAMogkB9S_zhTUm2XHMzEVOBN2YgGtQ9ObCjqbWniKdN5wB36ipisX-6D8MQFLhIaGPB1SzBZ9PL6mht5eeVjKdoIuvwHr2A5OpqD-EZagYK33ntMjrJU0hDU5TAH80vy9aXmhf91C1LQT0pcTjMEEkzwfQiMua9ybu4CmYxHgsyzkW16D5KDWYc/s72-w450-h640-c/Class%2010%20.jpeg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3172376283061609300.post-4106425648155041242</id><published>2026-06-19T12:47:40.093+05:30</published><updated>2026-06-19T15:20:28.362+05:30</updated><category scheme="http://www.blogger.com/atom/ns#" term="Class 7"/><category scheme="http://www.blogger.com/atom/ns#" term="Percentage"/><title type='text'>If x is 20% less than y, find x/y | Class 7 Percentage</title><content type='html'>&lt;p&gt;&amp;nbsp;&lt;/p&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/AVvXsEhPo3sxNhPxeo1-F8DFTkk9p8ASV02iMIJYS_EH6iX7T3eaotnaxBL5THGK5feJnEsY45MoON9j5YX7UfiJ-3C4LR-7naFWl0tr82rLErr1A7pZccnSs5qiStdnNeHz4NZzZfo_BJkUZ-21JD6kWdf-DmC178Zy7dx4RBZPk7M7sZOhI9gsjzGjC5eTTAU/s1920/Quick%20Note%2068%2020260619124610.png&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;If x is 20% less than y, find x/y | Class 7 Percentage&quot; border=&quot;0&quot; data-original-height=&quot;1920&quot; data-original-width=&quot;1200&quot; height=&quot;640&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhPo3sxNhPxeo1-F8DFTkk9p8ASV02iMIJYS_EH6iX7T3eaotnaxBL5THGK5feJnEsY45MoON9j5YX7UfiJ-3C4LR-7naFWl0tr82rLErr1A7pZccnSs5qiStdnNeHz4NZzZfo_BJkUZ-21JD6kWdf-DmC178Zy7dx4RBZPk7M7sZOhI9gsjzGjC5eTTAU/w400-h640/Quick%20Note%2068%2020260619124610.png&quot; title=&quot;If x is 20% less than y, find x/y | Class 7 Percentage&quot; width=&quot;400&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&lt;p&gt;&lt;/p&gt;</content><link rel='replies' type='application/atom+xml' href='http://www.updateans.com/feeds/4106425648155041242/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://www.updateans.com/2026/06/if-x-is-20-less-than-y-find.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/4106425648155041242'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/4106425648155041242'/><link rel='alternate' type='text/html' href='http://www.updateans.com/2026/06/if-x-is-20-less-than-y-find.html' title='If x is 20% less than y, find x/y | Class 7 Percentage'/><author><name>ANS</name><uri>http://www.blogger.com/profile/01097653302417848438</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='24' height='32' src='//blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgO9frEzsqifivIEIigaZPjivXEGfEkLLnsAcfEVVAbQ-uZIWWcJZVg6w-SlaWP6MDF8Ab5kkLXg-niEy3gl1JfedAw12mmDlfTw10CgLAxwm_MRWJqND_mGLKoGPRsAw/s113/IMG_20200225_071338.jpg'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhPo3sxNhPxeo1-F8DFTkk9p8ASV02iMIJYS_EH6iX7T3eaotnaxBL5THGK5feJnEsY45MoON9j5YX7UfiJ-3C4LR-7naFWl0tr82rLErr1A7pZccnSs5qiStdnNeHz4NZzZfo_BJkUZ-21JD6kWdf-DmC178Zy7dx4RBZPk7M7sZOhI9gsjzGjC5eTTAU/s72-w400-h640-c/Quick%20Note%2068%2020260619124610.png" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3172376283061609300.post-6339983551578161113</id><published>2026-06-16T12:26:34.280+05:30</published><updated>2026-06-16T12:26:40.916+05:30</updated><category scheme="http://www.blogger.com/atom/ns#" term="Class 11"/><category scheme="http://www.blogger.com/atom/ns#" term="Trigonometry"/><title type='text'>If cos A + cos B = m and sin A + sin B = n , when m,n not equal to 0, then what is cos (A+B) equal to? Class 11 Trigonometry </title><content type='html'>&lt;p&gt;&lt;/p&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/AVvXsEioWe7Z5PI7MTzTOQUstMfXLjvVkBLmRVntq0Yg1r7mYspXaTQSOFrB1xQO1UA4xg990DIOcKx7MYxUH7NWJYVB-nlDYFv6N92I1gOaaTnE8-Orzi1h4ohu9S2NpwBHnUqjYXnoCJztZiDecLVEbkLAUSBwSOhwI271vI6CXuAF2QICZiroz3tkGknmX1Y/s1280/class%2011%20sus.jpeg&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; data-original-height=&quot;1280&quot; data-original-width=&quot;731&quot; height=&quot;640&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEioWe7Z5PI7MTzTOQUstMfXLjvVkBLmRVntq0Yg1r7mYspXaTQSOFrB1xQO1UA4xg990DIOcKx7MYxUH7NWJYVB-nlDYFv6N92I1gOaaTnE8-Orzi1h4ohu9S2NpwBHnUqjYXnoCJztZiDecLVEbkLAUSBwSOhwI271vI6CXuAF2QICZiroz3tkGknmX1Y/w366-h640/class%2011%20sus.jpeg&quot; width=&quot;366&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&amp;nbsp;&lt;p&gt;&lt;/p&gt;</content><link rel='replies' type='application/atom+xml' href='http://www.updateans.com/feeds/6339983551578161113/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://www.updateans.com/2026/06/if-cos-cos-b-m-and-sin-sin-b-n-when-mn.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/6339983551578161113'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/6339983551578161113'/><link rel='alternate' type='text/html' href='http://www.updateans.com/2026/06/if-cos-cos-b-m-and-sin-sin-b-n-when-mn.html' title='If cos A + cos B = m and sin A + sin B = n , when m,n not equal to 0, then what is cos (A+B) equal to? Class 11 Trigonometry '/><author><name>ANS</name><uri>http://www.blogger.com/profile/01097653302417848438</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='24' height='32' src='//blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgO9frEzsqifivIEIigaZPjivXEGfEkLLnsAcfEVVAbQ-uZIWWcJZVg6w-SlaWP6MDF8Ab5kkLXg-niEy3gl1JfedAw12mmDlfTw10CgLAxwm_MRWJqND_mGLKoGPRsAw/s113/IMG_20200225_071338.jpg'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEioWe7Z5PI7MTzTOQUstMfXLjvVkBLmRVntq0Yg1r7mYspXaTQSOFrB1xQO1UA4xg990DIOcKx7MYxUH7NWJYVB-nlDYFv6N92I1gOaaTnE8-Orzi1h4ohu9S2NpwBHnUqjYXnoCJztZiDecLVEbkLAUSBwSOhwI271vI6CXuAF2QICZiroz3tkGknmX1Y/s72-w366-h640-c/class%2011%20sus.jpeg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3172376283061609300.post-3608965228971902872</id><published>2026-05-30T19:37:48.421+05:30</published><updated>2026-05-30T19:37:48.421+05:30</updated><category scheme="http://www.blogger.com/atom/ns#" term="class 5"/><category scheme="http://www.blogger.com/atom/ns#" term="Math Questions"/><title type='text'>Class 5 Negative Number MCQ Test FM 10</title><content type='html'>&lt;!DOCTYPE html&gt;
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    &lt;title&gt;Exam Access Portal&lt;/title&gt;
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            &lt;p&gt;© 2023 Exam Access Portal | Secure &amp; Confidential&lt;/p&gt;
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&lt;/html&gt;</content><link rel='replies' type='application/atom+xml' href='http://www.updateans.com/feeds/3608965228971902872/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://www.updateans.com/2026/05/class-5-negative-number-mcq-test-fm-10.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/3608965228971902872'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/3608965228971902872'/><link rel='alternate' type='text/html' href='http://www.updateans.com/2026/05/class-5-negative-number-mcq-test-fm-10.html' title='Class 5 Negative Number MCQ Test FM 10'/><author><name>ANS</name><uri>http://www.blogger.com/profile/01097653302417848438</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='24' height='32' src='//blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgO9frEzsqifivIEIigaZPjivXEGfEkLLnsAcfEVVAbQ-uZIWWcJZVg6w-SlaWP6MDF8Ab5kkLXg-niEy3gl1JfedAw12mmDlfTw10CgLAxwm_MRWJqND_mGLKoGPRsAw/s113/IMG_20200225_071338.jpg'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgsXtsXezkpm9Fvj5ZDCXaEd45hx87O-j6KgvxxL89uq8eLakhCZOO1xSExx521v4d_eD6uMbWIl1TcAKIKcmbudeDGF0TB2kxPkcX7rfDjodR2sZbLK_is_NdvZgy535O5tt0oGhTiPt0fivRd-DCU9wv6z6RdN5M8CeBHpP2fXYgRPmHBb4B_fL94eHo/s72-c/logo.jpeg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3172376283061609300.post-1648192075314448767</id><published>2026-05-19T16:41:52.081+05:30</published><updated>2026-05-19T16:41:52.081+05:30</updated><category scheme="http://www.blogger.com/atom/ns#" term="blog"/><title type='text'>How Students Can Manage Time Effectively</title><content type='html'>&lt;p style=&quot;text-align: center;&quot;&gt;&amp;nbsp;वक़्त की कीमत समझो दोस्तों,&lt;/p&gt;&lt;div style=&quot;text-align: center;&quot;&gt;हर पल ये खास होता है।&lt;/div&gt;&lt;div style=&quot;text-align: center;&quot;&gt;जो समय का मान करे,&lt;/div&gt;&lt;div style=&quot;text-align: center;&quot;&gt;उसी का भविष्य उज्ज्वल होता है।&lt;/div&gt;&lt;div style=&quot;text-align: center;&quot;&gt;&lt;br /&gt;&lt;/div&gt;&lt;div style=&quot;text-align: left;&quot;&gt;&lt;p data-end=&quot;177&quot; data-start=&quot;45&quot;&gt;Managing time well helps students study better, reduce stress, and still enjoy hobbies and rest. Here are simple and practical tips:&lt;/p&gt;
&lt;h3 data-end=&quot;206&quot; data-section-id=&quot;1bj98kd&quot; data-start=&quot;179&quot;&gt;1. Make a Daily Routine&lt;/h3&gt;
&lt;p data-end=&quot;236&quot; data-start=&quot;207&quot;&gt;Create a fixed timetable for:&lt;/p&gt;
&lt;ul data-end=&quot;295&quot; data-start=&quot;237&quot;&gt;
&lt;li data-end=&quot;245&quot; data-section-id=&quot;6au0ws&quot; data-start=&quot;237&quot;&gt;
School
&lt;/li&gt;
&lt;li data-end=&quot;256&quot; data-section-id=&quot;19bagjq&quot; data-start=&quot;246&quot;&gt;
Homework
&lt;/li&gt;
&lt;li data-end=&quot;267&quot; data-section-id=&quot;clvz2z&quot; data-start=&quot;257&quot;&gt;
Revision
&lt;/li&gt;
&lt;li data-end=&quot;287&quot; data-section-id=&quot;vkkkoh&quot; data-start=&quot;268&quot;&gt;
Play and exercise
&lt;/li&gt;
&lt;li data-end=&quot;295&quot; data-section-id=&quot;178nu13&quot; data-start=&quot;288&quot;&gt;
Sleep
&lt;/li&gt;
&lt;/ul&gt;
&lt;p data-end=&quot;356&quot; data-start=&quot;297&quot;&gt;Following a routine daily builds discipline and saves time.&lt;/p&gt;
&lt;h3 data-end=&quot;379&quot; data-section-id=&quot;1r51c0c&quot; data-start=&quot;358&quot;&gt;2. Set Priorities&lt;/h3&gt;
&lt;p data-end=&quot;422&quot; data-start=&quot;380&quot;&gt;Do the most important work first.&lt;br /&gt;
Example:&lt;/p&gt;
&lt;ol data-end=&quot;493&quot; data-start=&quot;423&quot;&gt;
&lt;li data-end=&quot;449&quot; data-section-id=&quot;t5lcbl&quot; data-start=&quot;423&quot;&gt;
Homework due tomorrow
&lt;/li&gt;
&lt;li data-end=&quot;471&quot; data-section-id=&quot;dg822e&quot; data-start=&quot;450&quot;&gt;
Test preparation
&lt;/li&gt;
&lt;li data-end=&quot;493&quot; data-section-id=&quot;nghf1l&quot; data-start=&quot;472&quot;&gt;
Extra activities
&lt;/li&gt;
&lt;/ol&gt;
&lt;p data-end=&quot;547&quot; data-start=&quot;495&quot;&gt;Complete difficult subjects when your mind is fresh.&lt;/p&gt;
&lt;h3 data-end=&quot;574&quot; data-section-id=&quot;1gv3hp7&quot; data-start=&quot;549&quot;&gt;3. Avoid Distractions&lt;/h3&gt;
&lt;p data-end=&quot;590&quot; data-start=&quot;575&quot;&gt;While studying:&lt;/p&gt;
&lt;ul data-end=&quot;672&quot; data-start=&quot;591&quot;&gt;
&lt;li data-end=&quot;616&quot; data-section-id=&quot;6lj6vm&quot; data-start=&quot;591&quot;&gt;
Keep mobile phones away
&lt;/li&gt;
&lt;li data-end=&quot;647&quot; data-section-id=&quot;1o143p0&quot; data-start=&quot;617&quot;&gt;
Avoid social media and games
&lt;/li&gt;
&lt;li data-end=&quot;672&quot; data-section-id=&quot;1imhd46&quot; data-start=&quot;648&quot;&gt;
Study in a quiet place
&lt;/li&gt;
&lt;/ul&gt;
&lt;p data-end=&quot;718&quot; data-start=&quot;674&quot;&gt;Even small distractions waste a lot of time.&lt;/p&gt;
&lt;h3 data-end=&quot;751&quot; data-section-id=&quot;1dfzt9r&quot; data-start=&quot;720&quot;&gt;4. Use Short Study Sessions&lt;/h3&gt;
&lt;p data-end=&quot;858&quot; data-start=&quot;752&quot;&gt;Study for 30–45 minutes, then take a 5–10 minute break.&lt;br /&gt;
This improves concentration and reduces tiredness.&lt;/p&gt;
&lt;h3 data-end=&quot;884&quot; data-section-id=&quot;17rduqp&quot; data-start=&quot;860&quot;&gt;5. Make a To-Do List&lt;/h3&gt;
&lt;p data-end=&quot;914&quot; data-start=&quot;885&quot;&gt;Write down tasks for the day:&lt;/p&gt;
&lt;ul data-end=&quot;954&quot; data-start=&quot;915&quot;&gt;
&lt;li data-end=&quot;925&quot; data-section-id=&quot;19bagjq&quot; data-start=&quot;915&quot;&gt;
Homework
&lt;/li&gt;
&lt;li data-end=&quot;943&quot; data-section-id=&quot;gkjug9&quot; data-start=&quot;926&quot;&gt;
Revision topics
&lt;/li&gt;
&lt;li data-end=&quot;954&quot; data-section-id=&quot;1fg3pla&quot; data-start=&quot;944&quot;&gt;
Projects
&lt;/li&gt;
&lt;/ul&gt;
&lt;p data-end=&quot;1022&quot; data-start=&quot;956&quot;&gt;Tick completed tasks. It gives motivation and keeps you organized.&lt;/p&gt;
&lt;h3 data-end=&quot;1050&quot; data-section-id=&quot;8gnpi3&quot; data-start=&quot;1024&quot;&gt;6. Don’t Postpone Work&lt;/h3&gt;
&lt;p data-end=&quot;1138&quot; data-start=&quot;1051&quot;&gt;Finish homework and assignments on time.&lt;br /&gt;
Procrastination increases stress before exams.&lt;/p&gt;
&lt;h3 data-end=&quot;1161&quot; data-section-id=&quot;15uq1db&quot; data-start=&quot;1140&quot;&gt;7. Sleep Properly&lt;/h3&gt;
&lt;p data-end=&quot;1244&quot; data-start=&quot;1162&quot;&gt;Students should sleep about 7–8 hours daily.&lt;br /&gt;
Good sleep improves memory and focus.&lt;/p&gt;
&lt;h3 data-end=&quot;1265&quot; data-section-id=&quot;lzdh3&quot; data-start=&quot;1246&quot;&gt;8. Revise Daily&lt;/h3&gt;
&lt;p data-end=&quot;1370&quot; data-start=&quot;1266&quot;&gt;Instead of studying everything before exams, revise a little every day.&lt;br /&gt;
Daily revision saves time later.&lt;/p&gt;
&lt;h3 data-end=&quot;1407&quot; data-section-id=&quot;3ysvou&quot; data-start=&quot;1372&quot;&gt;9. Keep Time for Health and Fun&lt;/h3&gt;
&lt;p data-end=&quot;1488&quot; data-start=&quot;1408&quot;&gt;Play sports, exercise, and spend time with family.&lt;br /&gt;
A healthy mind learns faster.&lt;/p&gt;
&lt;h3 data-end=&quot;1516&quot; data-section-id=&quot;da68sc&quot; data-start=&quot;1490&quot;&gt;10. Believe in Balance&lt;/h3&gt;
&lt;p data-end=&quot;1589&quot; data-start=&quot;1517&quot;&gt;Time management does not mean studying all the time.&lt;br /&gt;
It means balancing:&lt;/p&gt;
&lt;ul data-end=&quot;1619&quot; data-start=&quot;1590&quot;&gt;
&lt;li data-end=&quot;1597&quot; data-section-id=&quot;178i1nr&quot; data-start=&quot;1590&quot;&gt;
Study
&lt;/li&gt;
&lt;li data-end=&quot;1604&quot; data-section-id=&quot;1j4ehmg&quot; data-start=&quot;1598&quot;&gt;
Rest
&lt;/li&gt;
&lt;li data-end=&quot;1610&quot; data-section-id=&quot;1o4j11&quot; data-start=&quot;1605&quot;&gt;
Fun
&lt;/li&gt;
&lt;li data-end=&quot;1619&quot; data-section-id=&quot;1mrfyus&quot; data-start=&quot;1611&quot;&gt;
Health
&lt;/li&gt;
&lt;/ul&gt;
&lt;h2 data-end=&quot;1634&quot; data-section-id=&quot;8dtpi&quot; data-start=&quot;1621&quot;&gt;Conclusion&lt;/h2&gt;
&lt;p data-end=&quot;1839&quot; data-is-last-node=&quot;&quot; data-is-only-node=&quot;&quot; data-start=&quot;1635&quot;&gt;Good time management makes students more confident, disciplined, and successful. By planning the day properly and avoiding wasting time, students can achieve their goals easily while enjoying school life.&lt;/p&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://www.updateans.com/feeds/1648192075314448767/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://www.updateans.com/2026/05/how-students-can-manage-time-effectively.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/1648192075314448767'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/1648192075314448767'/><link rel='alternate' type='text/html' href='http://www.updateans.com/2026/05/how-students-can-manage-time-effectively.html' title='How Students Can Manage Time Effectively'/><author><name>ANS</name><uri>http://www.blogger.com/profile/01097653302417848438</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='24' height='32' src='//blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgO9frEzsqifivIEIigaZPjivXEGfEkLLnsAcfEVVAbQ-uZIWWcJZVg6w-SlaWP6MDF8Ab5kkLXg-niEy3gl1JfedAw12mmDlfTw10CgLAxwm_MRWJqND_mGLKoGPRsAw/s113/IMG_20200225_071338.jpg'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3172376283061609300.post-2429869223086288970</id><published>2026-05-09T17:01:00.000+05:30</published><updated>2026-05-09T17:01:07.770+05:30</updated><category scheme="http://www.blogger.com/atom/ns#" term="class 8"/><category scheme="http://www.blogger.com/atom/ns#" term="Exponent"/><title type='text'>Class 8 Exponent Important Question 2 </title><content type='html'>&lt;p&gt;&lt;/p&gt;&lt;div class=&quot;separator&quot; 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