<?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>2026-07-11T03:13:34.569+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="Surface area and Volume"/><category term="linear Inequation"/><category term="Co-ordinate Geomatry"/><category term="Complex Number"/><category term="Percentage"/><category term="Equation of Line"/><category term="FORCE"/><category term="Inverse Trigonometry"/><category term="Midpoint Theorem"/><category term="Application of derivative"/><category term="Mensuration"/><category term="blog"/><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="GST"/><category term="Height ans Distance"/><category term="Sound"/><category term="Binomial"/><category term="Continuity and Differentiability"/><category term="Expansion"/><category term="Probability"/><category term="Projectile Motion"/><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="Area and Perimeter of Plane Figures"/><category term="Banking"/><category term="Differential Equation"/><category term="NLM"/><category term="Android Tips And Tricks"/><category term="Capacitance"/><category term="Chemistry"/><category term="Machine"/><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="Resistance"/><category term="SHM"/><category term="Statistics"/><category term="Auto transformer"/><category term="Battery"/><category term="COM"/><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>1584</openSearch:totalResults><openSearch:startIndex>1</openSearch:startIndex><openSearch:itemsPerPage>25</openSearch:itemsPerPage><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? 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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;!-- Main Portal (shown initially) --&gt;
    &lt;div id=&quot;mainPortal&quot; class=&quot;container&quot;&gt;
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            &lt;!-- Replaced &lt;i&gt; with actual image logo --&gt;
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            &lt;h1&gt;Exam Access Portal&lt;/h1&gt;
            &lt;p&gt;Enter access code to proceed to exam&lt;/p&gt;
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                Enter Access Code
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                &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.
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                &lt;a class=&quot;toggle-link&quot; id=&quot;showPaymentLink&quot;&gt;
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        &lt;div class=&quot;footer&quot;&gt;
            &lt;p&gt;© 2023 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;
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                &lt;h2&gt;ANS Mathematics &amp; Physics&lt;/h2&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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style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjdBPQLVa9zlbTE234wTQBa9uCBUDjAxgzKWaSWdOESm79U6nUaJJ5z2AaZ3TPiiM1w5Dws2nxGZL8oJWhgkQKCwK_SCOwYo8-oTyzQAFSjxadJPEUfOhX0-QjfQa9A6RJOWH358qDnzjMU4W3o7Vwn3xpo-VUEBzGsh5KCKYJBxATNThve-9yuobQ43bk/s1380/class%208%20playing%20with%20number.jpeg&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;For 3 digit number abc, cab and bca, show that abc+cab+bca is divisible by 37 | Class 8 | Playing with number&quot; border=&quot;0&quot; data-original-height=&quot;1106&quot; data-original-width=&quot;1380&quot; height=&quot;512&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjdBPQLVa9zlbTE234wTQBa9uCBUDjAxgzKWaSWdOESm79U6nUaJJ5z2AaZ3TPiiM1w5Dws2nxGZL8oJWhgkQKCwK_SCOwYo8-oTyzQAFSjxadJPEUfOhX0-QjfQa9A6RJOWH358qDnzjMU4W3o7Vwn3xpo-VUEBzGsh5KCKYJBxATNThve-9yuobQ43bk/w640-h512/class%208%20playing%20with%20number.jpeg&quot; title=&quot;For 3 digit number abc, cab and bca, show that abc+cab+bca is divisible by 37 | Class 8 | Playing with number&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/5693404272596744865/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://www.updateans.com/2026/05/for-3-digit-number-abc-cab-and-bca-show.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/5693404272596744865'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/5693404272596744865'/><link rel='alternate' type='text/html' href='http://www.updateans.com/2026/05/for-3-digit-number-abc-cab-and-bca-show.html' title='For 3 digit number abc, cab and bca, show that abc+cab+bca is divisible by 37 | Class 8 | Playing with 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/AVvXsEjdBPQLVa9zlbTE234wTQBa9uCBUDjAxgzKWaSWdOESm79U6nUaJJ5z2AaZ3TPiiM1w5Dws2nxGZL8oJWhgkQKCwK_SCOwYo8-oTyzQAFSjxadJPEUfOhX0-QjfQa9A6RJOWH358qDnzjMU4W3o7Vwn3xpo-VUEBzGsh5KCKYJBxATNThve-9yuobQ43bk/s72-w640-h512-c/class%208%20playing%20with%20number.jpeg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3172376283061609300.post-7179942298366131961</id><published>2026-05-09T16:25:00.002+05:30</published><updated>2026-05-09T16:25:19.713+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 Question</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/AVvXsEhvitSHooJre9kAEKg-JHORoIXRB7ikq_FvRg-mjx6OLkkB4rEDtPOzJDkftiQoTpb7WbaoIVZmSTRbDiPLJ_UKFVdrcMz0YAgvOky1-K9jIphLHa4qhOd0Nl0oQBr-CS0DktNXu_Q1VD4Uxo0Z4ZhuiUroUfjrqYo8VPMcogxVL4ygCr7qjr4AdRc4_uo/s1463/class%208%20expo.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;1463&quot; data-original-width=&quot;1413&quot; height=&quot;640&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhvitSHooJre9kAEKg-JHORoIXRB7ikq_FvRg-mjx6OLkkB4rEDtPOzJDkftiQoTpb7WbaoIVZmSTRbDiPLJ_UKFVdrcMz0YAgvOky1-K9jIphLHa4qhOd0Nl0oQBr-CS0DktNXu_Q1VD4Uxo0Z4ZhuiUroUfjrqYo8VPMcogxVL4ygCr7qjr4AdRc4_uo/w618-h640/class%208%20expo.jpeg&quot; width=&quot;618&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/7179942298366131961/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://www.updateans.com/2026/05/class-8-exponent-question.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/7179942298366131961'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/7179942298366131961'/><link rel='alternate' type='text/html' href='http://www.updateans.com/2026/05/class-8-exponent-question.html' title='Class 8 Exponent Question'/><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/AVvXsEhvitSHooJre9kAEKg-JHORoIXRB7ikq_FvRg-mjx6OLkkB4rEDtPOzJDkftiQoTpb7WbaoIVZmSTRbDiPLJ_UKFVdrcMz0YAgvOky1-K9jIphLHa4qhOd0Nl0oQBr-CS0DktNXu_Q1VD4Uxo0Z4ZhuiUroUfjrqYo8VPMcogxVL4ygCr7qjr4AdRc4_uo/s72-w618-h640-c/class%208%20expo.jpeg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3172376283061609300.post-5742529114600599083</id><published>2026-05-08T20:33:00.004+05:30</published><updated>2026-05-08T20:33:33.836+05:30</updated><category scheme="http://www.blogger.com/atom/ns#" term="Class 10"/><category scheme="http://www.blogger.com/atom/ns#" term="Quadratic Equation"/><title type='text'>In order to fill an empty swimming pool completely, a pipe of larger diameter alone takes 10 hours less than the time taken by the pipe of smaller diameter alone. if the pipe of larger diameter is used for 4 hours and the pipe of smaller diameter is used for 9 hours, half of the pool is filled. in how many hours will the pipe of larger diameter alone fill the pool.</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/AVvXsEgHEip-xthzWwBjelHrzOF6Jlj_QQ4S9i4FbVaRSi0E3M2-9_QKz4KUfOrV5_Tb6AS26mpAHXYnvlqgHW15pZQTajuDsPu7A8XQvLuKy20kTLDhz0jdFPVv_sRH1OIUQn9Toun2_Ub5WMsRaY8boAoAXxP6ohXXElCqmfvYZyJiDvGJ20zSwSM-WPldpNE/s1600/class%2010.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;1600&quot; data-original-width=&quot;957&quot; height=&quot;640&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgHEip-xthzWwBjelHrzOF6Jlj_QQ4S9i4FbVaRSi0E3M2-9_QKz4KUfOrV5_Tb6AS26mpAHXYnvlqgHW15pZQTajuDsPu7A8XQvLuKy20kTLDhz0jdFPVv_sRH1OIUQn9Toun2_Ub5WMsRaY8boAoAXxP6ohXXElCqmfvYZyJiDvGJ20zSwSM-WPldpNE/w382-h640/class%2010.jpeg&quot; width=&quot;382&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;h3 style=&quot;clear: both; text-align: center;&quot;&gt;Answer-&amp;nbsp; 20 hr&lt;/h3&gt;&lt;p&gt;&lt;/p&gt;</content><link rel='replies' type='application/atom+xml' href='http://www.updateans.com/feeds/5742529114600599083/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://www.updateans.com/2026/05/in-order-to-fill-empty-swimming-pool.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/5742529114600599083'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/5742529114600599083'/><link rel='alternate' type='text/html' href='http://www.updateans.com/2026/05/in-order-to-fill-empty-swimming-pool.html' title='In order to fill an empty swimming pool completely, a pipe of larger diameter alone takes 10 hours less than the time taken by the pipe of smaller diameter alone. if the pipe of larger diameter is used for 4 hours and the pipe of smaller diameter is used for 9 hours, half of the pool is filled. in how many hours will the pipe of larger diameter alone fill the pool.'/><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/AVvXsEgHEip-xthzWwBjelHrzOF6Jlj_QQ4S9i4FbVaRSi0E3M2-9_QKz4KUfOrV5_Tb6AS26mpAHXYnvlqgHW15pZQTajuDsPu7A8XQvLuKy20kTLDhz0jdFPVv_sRH1OIUQn9Toun2_Ub5WMsRaY8boAoAXxP6ohXXElCqmfvYZyJiDvGJ20zSwSM-WPldpNE/s72-w382-h640-c/class%2010.jpeg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3172376283061609300.post-3982527101015550182</id><published>2026-05-02T17:21:00.006+05:30</published><updated>2026-05-02T17:21:56.262+05:30</updated><category scheme="http://www.blogger.com/atom/ns#" term="Class 9"/><category scheme="http://www.blogger.com/atom/ns#" term="Physics Question"/><title type='text'>Class 9 Gravity MCQ FM 30</title><content type='html'>&lt;!DOCTYPE html&gt;
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        &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;!-- Replaced &lt;i&gt; with actual image logo --&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;
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                    &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;© 2023 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;!-- Full Page Form (opens automatically after correct code entry) --&gt;
    &lt;div class=&quot;full-page-form hidden&quot; id=&quot;fullPageForm&quot;&gt;
        &lt;div class=&quot;form-header&quot;&gt;
            &lt;div class=&quot;form-header-content&quot;&gt;
                &lt;i class=&quot;fas fa-file-alt&quot; style=&quot;font-size: 1.5rem;&quot;&gt;&lt;/i&gt;
                &lt;h2&gt;ANS Mathematics &amp; Physics&lt;/h2&gt;
            &lt;/div&gt;
        &lt;/div&gt;
        
        &lt;div class=&quot;form-container&quot;&gt;
            &lt;iframe 
                src=&quot;https://docs.google.com/forms/d/e/1FAIpQLSd9YNQQ7r7gSMdO7by8Mji7crxvC_nCVK4I-f2gKbbJJ0sW1Q/viewform?embedded=true&quot; 
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                title=&quot;Exam Form&quot;
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                id=&quot;examFormFrame&quot;&gt;
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            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.`;
            
            // 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`;
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                    setTimeout(() =&gt; {
                        const iframe = document.getElementById(&#39;examFormFrame&#39;);
                        iframe.contentWindow.focus();
                    }, 500);
                }, 1500);
            }
            
            // Function to validate and process access code
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                // Hide error message
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                // Validate code
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                    // Auto-open exam form after verification
                    openExamForm();
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                    // Show error
                    errorMessage.style.display = &#39;block&#39;;
                    errorMessage.innerHTML = &#39;&lt;i class=&quot;fas fa-exclamation-circle&quot;&gt;&lt;/i&gt; Invalid access code. Please check and try again.&#39;;
                    
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                    accessCodeInput.value = &#39;&#39;;
                    accessCodeInput.focus();
                }
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            // Submit code button click handler
            submitCodeBtn.addEventListener(&#39;click&#39;, processAccessCode);
            
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                    processAccessCode();
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            // Show payment section
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                accessSection.classList.add(&#39;hidden&#39;);
                paymentSection.classList.remove(&#39;hidden&#39;);
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                setTimeout(() =&gt; {
                    if (document.hasFocus()) {
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                        alert(`Please open your UPI app manually and send ${PAYMENT_AMOUNT} to:\n\nUPI ID: ${UPI_ID}\n\nNote: ${PAYMENT_NOTE}`);
                    }
                }, 500);
            });
            
            // Mark as Paid button click handler
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                window.open(whatsappUrl, &#39;_blank&#39;);
                
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                setTimeout(() =&gt; {
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                    errorMessage.classList.remove(&#39;error&#39;);
                    errorMessage.classList.add(&#39;success&#39;);
                    errorMessage.innerHTML = `&lt;i class=&quot;fas fa-check-circle&quot;&gt;&lt;/i&gt; Payment successful! Your access code will be sent via WhatsApp shortly.`;
                    
                    // Clear any existing code and focus on input field
                    accessCodeInput.value = &#39;&#39;;
                    setTimeout(() =&gt; {
                        accessCodeInput.focus();
                    }, 300);
                }, 1500);
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            // Auto-focus on code input
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            // Initialize payment options
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                    // If we&#39;re on the payment section and UPI button is visible, trigger it
                    if (!paymentSection.classList.contains(&#39;hidden&#39;) &amp;&amp; 
                        payViaUpiBtn.style.display !== &#39;none&#39; &amp;&amp;
                        document.activeElement !== accessCodeInput) {
                        payViaUpiBtn.click();
                    }
                }
            });
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&lt;/html&gt;</content><link rel='replies' type='application/atom+xml' href='http://www.updateans.com/feeds/3982527101015550182/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://www.updateans.com/2026/05/class-9-gravity-mcq-fm-30.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/3982527101015550182'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/3982527101015550182'/><link rel='alternate' type='text/html' href='http://www.updateans.com/2026/05/class-9-gravity-mcq-fm-30.html' title='Class 9 Gravity MCQ 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/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-1911441392844661871</id><published>2026-04-26T13:20:00.002+05:30</published><updated>2026-05-02T17:22:10.958+05:30</updated><category scheme="http://www.blogger.com/atom/ns#" term="Class 9"/><category scheme="http://www.blogger.com/atom/ns#" term="NLM"/><category scheme="http://www.blogger.com/atom/ns#" term="Physics Question"/><title type='text'>Class 9 Newton Laws of Motion Test FM 25</title><content type='html'>&lt;!DOCTYPE html&gt;
&lt;html lang=&quot;en&quot;&gt;
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    &lt;title&gt;Exam Access Portal&lt;/title&gt;
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            color: white;
        }
        
        .btn-secondary:hover {
            background: #475569;
        }
        
        .btn-success {
            background: #22c55e;
            color: white;
        }
        
        .btn-success:hover {
            background: #16a34a;
        }
        
        .message {
            padding: 12px 16px;
            border-radius: 8px;
            margin-top: 15px;
            display: none;
            font-size: 0.95rem;
        }
        
        .error {
            background: #fee2e2;
            color: #dc2626;
            border: 1px solid #fecaca;
        }
        
        .success {
            background: #dcfce7;
            color: #16a34a;
            border: 1px solid #bbf7d0;
        }
        
        .info-box {
            background: #dbeafe;
            border-radius: 8px;
            padding: 16px;
            margin: 20px 0;
            font-size: 0.9rem;
            color: #1e40af;
        }
        
        .info-box i {
            margin-right: 8px;
        }
        
        .hidden {
            display: none !important;
        }
        
        .payment-details {
            background: #f8fafc;
            border-radius: 10px;
            padding: 20px;
            margin: 20px 0;
            border: 1px solid #e2e8f0;
        }
        
        .amount {
            font-size: 2rem;
            color: #3b82f6;
            font-weight: 700;
            text-align: center;
            margin: 15px 0;
        }
        
        .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;
            margin: 15px 0;
            border: 1px solid #cbd5e1;
            text-align: center;
            font-size: 1.1rem;
        }
        
        .footer {
            text-align: center;
            color: #94a3b8;
            font-size: 0.85rem;
            margin-top: 25px;
            padding-top: 20px;
            border-top: 1px solid #e2e8f0;
        }
        
        .payment-options {
            display: flex;
            flex-direction: column;
            gap: 15px;
            margin: 25px 0;
        }
        
        .payment-option {
            display: flex;
            align-items: center;
            gap: 15px;
            padding: 15px;
            background: white;
            border-radius: 10px;
            border: 2px solid #e2e8f0;
            transition: all 0.3s;
            cursor: pointer;
        }
        
        .payment-option:hover {
            border-color: #3b82f6;
            box-shadow: 0 5px 15px rgba(59, 130, 246, 0.1);
        }
        
        .payment-option.selected {
            border-color: #3b82f6;
            background: #f0f7ff;
        }
        
        .payment-icon {
            width: 50px;
            height: 50px;
            background: #3b82f6;
            border-radius: 10px;
            display: flex;
            align-items: center;
            justify-content: center;
            color: white;
            font-size: 1.5rem;
        }
        
        .payment-info {
            flex: 1;
        }
        
        .payment-title {
            font-weight: 600;
            color: #1e293b;
            margin-bottom: 5px;
        }
        
        .payment-desc {
            color: #64748b;
            font-size: 0.9rem;
        }
        
        /* FULL PAGE FORM STYLES - NO CLOSE BUTTON */
        .full-page-form {
            width: 100vw;
            height: 100vh;
            position: fixed;
            top: 0;
            left: 0;
            background: white;
            z-index: 1000;
            overflow-y: auto;
        }
        
        .form-header {
            background: #1e293b;
            color: white;
            padding: 20px;
            display: flex;
            justify-content: center;
            align-items: center;
            position: sticky;
            top: 0;
            z-index: 1001;
            box-shadow: 0 2px 10px rgba(0, 0, 0, 0.1);
        }
        
        .form-header-content {
            display: flex;
            align-items: center;
            gap: 15px;
        }
        
        .form-header h2 {
            font-size: 1.5rem;
            font-weight: 600;
            margin: 0;
        }
        
        .form-container {
            padding: 0;
            height: calc(100vh - 80px);
            width: 100%;
        }
        
        .form-frame {
            width: 100%;
            height: 100%;
            border: none;
            display: block;
        }
        
        .loading-overlay {
            position: fixed;
            top: 0;
            left: 0;
            width: 100vw;
            height: 100vh;
            background: #3b82f6;
            display: flex;
            flex-direction: column;
            justify-content: center;
            align-items: center;
            z-index: 2000;
            color: white;
        }
        
        .loading-spinner {
            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;
            }
            
            .form-header {
                padding: 15px;
            }
            
            .form-header h2 {
                font-size: 1.2rem;
            }
            
            .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 --&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;!-- Replaced &lt;i&gt; with actual image logo --&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;© 2023 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;!-- Full Page Form (opens automatically after correct code entry) --&gt;
    &lt;div class=&quot;full-page-form hidden&quot; id=&quot;fullPageForm&quot;&gt;
        &lt;div class=&quot;form-header&quot;&gt;
            &lt;div class=&quot;form-header-content&quot;&gt;
                &lt;i class=&quot;fas fa-file-alt&quot; style=&quot;font-size: 1.5rem;&quot;&gt;&lt;/i&gt;
                &lt;h2&gt;ANS Mathematics &amp; Physics&lt;/h2&gt;
            &lt;/div&gt;
        &lt;/div&gt;
        
        &lt;div class=&quot;form-container&quot;&gt;
            &lt;iframe 
                src=&quot;https://docs.google.com/forms/d/e/1FAIpQLSfr-erdszcO2e6T39L8W8voKEOWlfJ-S513KWgQ3j6Yja1iPw/viewform?embedded=true&quot; 
                class=&quot;form-frame&quot; 
                title=&quot;Exam Form&quot;
                loading=&quot;eager&quot;
                id=&quot;examFormFrame&quot;&gt;
            &lt;/iframe&gt;
        &lt;/div&gt;
    &lt;/div&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 fullPageForm = document.getElementById(&#39;fullPageForm&#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.`;
            
            // 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 open exam form
            function openExamForm() {
                // Show loading overlay
                loadingOverlay.classList.remove(&#39;hidden&#39;);
                
                // Hide main portal
                mainPortal.classList.add(&#39;hidden&#39;);
                
                // Wait for loading animation
                setTimeout(() =&gt; {
                    // Hide loading overlay
                    loadingOverlay.classList.add(&#39;hidden&#39;);
                    
                    // Show full page exam form
                    fullPageForm.classList.remove(&#39;hidden&#39;);
                    
                    // Focus on the form iframe
                    setTimeout(() =&gt; {
                        const iframe = document.getElementById(&#39;examFormFrame&#39;);
                        iframe.contentWindow.focus();
                    }, 500);
                }, 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()) {
                    // Show loading state on button
                    submitCodeBtn.innerHTML = &#39;&lt;i class=&quot;fas fa-spinner fa-spin&quot;&gt;&lt;/i&gt; Verifying...&#39;;
                    submitCodeBtn.disabled = true;
                    
                    // Auto-open exam form after verification
                    openExamForm();
                } else {
                    // Show error
                    errorMessage.style.display = &#39;block&#39;;
                    errorMessage.innerHTML = &#39;&lt;i class=&quot;fas fa-exclamation-circle&quot;&gt;&lt;/i&gt; Invalid access code. Please check and try again.&#39;;
                    
                    // Clear input and focus
                    accessCodeInput.value = &#39;&#39;;
                    accessCodeInput.focus();
                }
            }
            
            // Submit code button click handler
            submitCodeBtn.addEventListener(&#39;click&#39;, processAccessCode);
            
            // Enter key press handler
            accessCodeInput.addEventListener(&#39;keyup&#39;, function(e) {
                if (e.key === &#39;Enter&#39;) {
                    e.preventDefault();
                    processAccessCode();
                }
            });
            
            // Show payment section
            showPaymentLink.addEventListener(&#39;click&#39;, function() {
                // Hide access section, show payment section
                accessSection.classList.add(&#39;hidden&#39;);
                paymentSection.classList.remove(&#39;hidden&#39;);
                selectPaymentOption(&#39;upi&#39;); // Default to UPI option
            });
            
            // Back to access section
            backToAccessBtn.addEventListener(&#39;click&#39;, function() {
                // Hide payment section, show access section
                paymentSection.classList.add(&#39;hidden&#39;);
                accessSection.classList.remove(&#39;hidden&#39;);
                
                // Focus on code input
                setTimeout(() =&gt; {
                    accessCodeInput.focus();
                }, 300);
            });
            
            // Payment option selection
            function selectPaymentOption(option) {
                // Reset all options
                upiOption.classList.remove(&#39;selected&#39;);
                qrOption.classList.remove(&#39;selected&#39;);
                
                // Show/hide sections
                if (option === &#39;upi&#39;) {
                    upiOption.classList.add(&#39;selected&#39;);
                    qrSection.classList.add(&#39;hidden&#39;);
                    payViaUpiBtn.style.display = &#39;block&#39;;
                } else if (option === &#39;qr&#39;) {
                    qrOption.classList.add(&#39;selected&#39;);
                    qrSection.classList.remove(&#39;hidden&#39;);
                    payViaUpiBtn.style.display = &#39;none&#39;;
                }
            }
            
            // UPI option click
            upiOption.addEventListener(&#39;click&#39;, function() {
                selectPaymentOption(&#39;upi&#39;);
            });
            
            // QR option click
            qrOption.addEventListener(&#39;click&#39;, function() {
                selectPaymentOption(&#39;qr&#39;);
            });
            
            // Pay via UPI button click
            payViaUpiBtn.addEventListener(&#39;click&#39;, function() {
                const upiUrl = generateUpiUrl();
                
                // Try to open UPI app
                window.location.href = upiUrl;
                
                // Fallback: If UPI app doesn&#39;t open, show instructions
                setTimeout(() =&gt; {
                    if (document.hasFocus()) {
                        // UPI app didn&#39;t open, show manual instructions
                        alert(`Please open your UPI app manually and send ${PAYMENT_AMOUNT} to:\n\nUPI ID: ${UPI_ID}\n\nNote: ${PAYMENT_NOTE}`);
                    }
                }, 500);
            });
            
            // Mark as Paid button click handler
            markPaidBtn.addEventListener(&#39;click&#39;, function() {
                // Send WhatsApp message
                const whatsappUrl = `https://wa.me/${WHATSAPP_NUMBER}?text=${encodeURIComponent(WHATSAPP_MESSAGE)}`;
                
                // Open WhatsApp in new tab
                window.open(whatsappUrl, &#39;_blank&#39;);
                
                // Show loading state
                markPaidBtn.innerHTML = &#39;&lt;i class=&quot;fas fa-spinner fa-spin&quot;&gt;&lt;/i&gt; Processing...&#39;;
                markPaidBtn.disabled = true;
                
                // Simulate processing
                setTimeout(() =&gt; {
                    // Go back to access section
                    paymentSection.classList.add(&#39;hidden&#39;);
                    accessSection.classList.remove(&#39;hidden&#39;);
                    
                    // Reset button
                    markPaidBtn.innerHTML = &#39;&lt;i class=&quot;fas fa-check-circle&quot;&gt;&lt;/i&gt; I\&#39;ve Completed Payment&#39;;
                    markPaidBtn.disabled = false;
                    
                    // Show success message
                    errorMessage.style.display = &#39;block&#39;;
                    errorMessage.classList.remove(&#39;error&#39;);
                    errorMessage.classList.add(&#39;success&#39;);
                    errorMessage.innerHTML = `&lt;i class=&quot;fas fa-check-circle&quot;&gt;&lt;/i&gt; Payment successful! Your access code will be sent via WhatsApp shortly.`;
                    
                    // Clear any existing code and focus on input field
                    accessCodeInput.value = &#39;&#39;;
                    setTimeout(() =&gt; {
                        accessCodeInput.focus();
                    }, 300);
                }, 1500);
            });
            
            // Auto-focus on code input
            accessCodeInput.focus();
            
            // Initialize payment options
            selectPaymentOption(&#39;upi&#39;);
            
            // Additional: Press Enter in any input field to submit
            document.addEventListener(&#39;keydown&#39;, function(e) {
                if (e.key === &#39;Enter&#39;) {
                    // If we&#39;re on the payment section and UPI button is visible, trigger it
                    if (!paymentSection.classList.contains(&#39;hidden&#39;) &amp;&amp; 
                        payViaUpiBtn.style.display !== &#39;none&#39; &amp;&amp;
                        document.activeElement !== accessCodeInput) {
                        payViaUpiBtn.click();
                    }
                }
            });
        });
    &lt;/script&gt;
&lt;/body&gt;
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&lt;div class=&quot;solution&quot;&gt;
  Ans:- solution set = {-1, 3}
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  &lt;div class=&quot;description&quot;&gt;
    &lt;h1&gt;📐 Learn Simultaneous Linear Equations (Step-by-Step)&lt;/h1&gt;
    &lt;p&gt;In this video, you&#39;ll learn how to solve two linear equations using &lt;strong&gt;Substitution Method&lt;/strong&gt;, &lt;strong&gt;Elimination Method&lt;/strong&gt;, &lt;strong&gt;Cross Multiplication Method&lt;/strong&gt;, and &lt;strong&gt;Graphical Method&lt;/strong&gt;. Perfect for &lt;strong&gt;Class 8, 9, 10&lt;/strong&gt; students and beginners preparing for exams.&lt;/p&gt;
    
    &lt;div class=&quot;topics&quot;&gt;
      &lt;h2&gt;📘 Topics Covered&lt;/h2&gt;
      &lt;ul&gt;
        &lt;li&gt;What are Simultaneous Linear Equations?&lt;/li&gt;
        &lt;li&gt;Substitution Method (step-by-step)&lt;/li&gt;
        &lt;li&gt;Elimination Method (step-by-step)&lt;/li&gt;
        &lt;li&gt;Cross Multiplication Method trick&lt;/li&gt;
        &lt;li&gt;Graphical Method explanation&lt;/li&gt;
        &lt;li&gt;Solved examples&lt;/li&gt;
        &lt;li&gt;Exam-based questions&lt;/li&gt;
        &lt;li&gt;Quick tips to solve faster&lt;/li&gt;
      &lt;/ul&gt;
    &lt;/div&gt;
    
    &lt;p&gt;&lt;span class=&quot;highlight&quot;&gt;✅ This video will help you&lt;/span&gt; understand concepts clearly and solve questions quickly in exams — whether you&#39;re studying for CBSE, ICSE, State Boards, or any competitive foundation exam.&lt;/p&gt;
    
    &lt;div class=&quot;footer-note&quot;&gt;
      🧠 Master all methods in one place | Watch till the end for exam tricks
    &lt;/div&gt;
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  &lt;title&gt;Arithmetic Means - Problem &amp; Solution&lt;/title&gt;
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    body {
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&lt;div class=&quot;container&quot;&gt;
  &lt;!-- Problem Image (original from Blogger) --&gt;
  &lt;div class=&quot;problem-image&quot;&gt;
    &lt;img 
      src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi3oEaAL-slKhrh_HGDeq1DNGZdr-hdOxx-xa-6Wm0MZZGojfvrFHsdVq1rF2gn1tMf1CaqLWPgKKcq-aBLbGPkOhMm_BI3MNbCe0sXCbfZOOOZRO7kMaE_ilsnHIEWZRSAKcUa6Xkh7gmdxugPO5uNHMMajlklXo75-IVRf3grN9cLWPQCXR_MV-mSE_U/s1600/ans%2012.jpeg&quot;
      alt=&quot;The sum of two numbers is 13/6. An even number of Arithmetic Means are being inserted between them and their sum exceeds their number by 1. Find the number of means inserted.&quot;
      title=&quot;Arithmetic Means Problem&quot;
      width=&quot;640&quot;
      height=&quot;auto&quot;
      loading=&quot;lazy&quot;
    &gt;
  &lt;/div&gt;

  &lt;!-- Answer Section --&gt;
  &lt;div class=&quot;answer-box&quot;&gt;
    &lt;div class=&quot;answer-label&quot;&gt;✔️ Number of Arithmetic Means Inserted&lt;/div&gt;
    &lt;div class=&quot;answer-value&quot;&gt;12&lt;/div&gt;
  &lt;/div&gt;

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      src=&quot;https://www.youtube-nocookie.com/embed/TOl6OmqUzd8&quot; 
      title=&quot;YouTube video player - Arithmetic Means Explanation&quot;&gt;
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  &lt;/div&gt;
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&lt;/body&gt;
&lt;/html&gt;</content><link rel='replies' type='application/atom+xml' href='http://www.updateans.com/feeds/9064562848288330611/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://www.updateans.com/2026/04/the-sum-of-two-numbers-is-136-even.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/9064562848288330611'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/9064562848288330611'/><link rel='alternate' type='text/html' href='http://www.updateans.com/2026/04/the-sum-of-two-numbers-is-136-even.html' title='The sum of two numbers is 13/6. An even number of Airthmetic Means are being inserted between them and their sum exceeds their number by 1. Find the number of mean inserted.'/><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/AVvXsEi3oEaAL-slKhrh_HGDeq1DNGZdr-hdOxx-xa-6Wm0MZZGojfvrFHsdVq1rF2gn1tMf1CaqLWPgKKcq-aBLbGPkOhMm_BI3MNbCe0sXCbfZOOOZRO7kMaE_ilsnHIEWZRSAKcUa6Xkh7gmdxugPO5uNHMMajlklXo75-IVRf3grN9cLWPQCXR_MV-mSE_U/s72-c/ans%2012.jpeg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3172376283061609300.post-6744706892731510262</id><published>2026-04-06T23:34:00.004+05:30</published><updated>2026-04-26T11:28:42.422+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'>Class 10 Airthmatic Pogression (AP) important Questions</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, user-scalable=yes&quot;&gt;
  &lt;title&gt;Arithmetic Progression - Practice Questions&lt;/title&gt;
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    * {
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      font-family: system-ui, -apple-system, &#39;Segoe UI&#39;, Roboto, &#39;Helvetica Neue&#39;, Arial, sans-serif;
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    }

    /* Responsive video (16:9) */
    .video-wrapper {
      position: relative;
      width: 100%;
      padding-bottom: 56.25%;
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    /* Questions section */
    .questions-section {
      display: flex;
      flex-direction: column;
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&lt;div class=&quot;container&quot;&gt;
  &lt;!-- Responsive YouTube embed (privacy enhanced, no tracking params) --&gt;
  &lt;div class=&quot;video-wrapper&quot;&gt;
    &lt;iframe 
      allow=&quot;accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share&quot; 
      allowfullscreen 
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      src=&quot;https://www.youtube-nocookie.com/embed/cmvO58Q08xU&quot; 
      title=&quot;YouTube video player - Arithmetic Progression Problems&quot;&gt;
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  &lt;div class=&quot;questions-section&quot;&gt;
    &lt;!-- Q1 --&gt;
    &lt;div class=&quot;question-card&quot;&gt;
      &lt;div class=&quot;question-text&quot;&gt;
        &lt;span class=&quot;badge&quot;&gt;📘 Q1&lt;/span&gt; 
        The sum of three numbers in Arithmetic Progression (A.P.) is 15 and the sum of the squares of the extreme terms is 58. Find the numbers.
      &lt;/div&gt;
      &lt;div class=&quot;answer&quot;&gt;
        ✅ &lt;strong&gt;Answer:&lt;/strong&gt; 3, 5, 7
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      &lt;div class=&quot;question-text&quot;&gt;
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        Find four numbers in A.P. whose sum is 20 and the sum of whose squares is 120.
      &lt;/div&gt;
      &lt;div class=&quot;answer&quot;&gt;
        ✅ &lt;strong&gt;Answer:&lt;/strong&gt; 2, 4, 6, 8
      &lt;/div&gt;
    &lt;/div&gt;
  &lt;/div&gt;
&lt;/div&gt;
&lt;/body&gt;
&lt;/html&gt;</content><link rel='replies' type='application/atom+xml' href='http://www.updateans.com/feeds/6744706892731510262/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://www.updateans.com/2026/04/class-10-airthmatic-pogression-ap.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/6744706892731510262'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/6744706892731510262'/><link rel='alternate' type='text/html' href='http://www.updateans.com/2026/04/class-10-airthmatic-pogression-ap.html' title='Class 10 Airthmatic Pogression (AP) important Questions'/><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-3073564398453375696</id><published>2026-04-06T15:34:00.002+05:30</published><updated>2026-04-06T15:34:12.244+05:30</updated><category scheme="http://www.blogger.com/atom/ns#" term="class 8"/><category scheme="http://www.blogger.com/atom/ns#" term="Surface area and Volume"/><title type='text'>Find Volume of a cubical box whose Surface area is 486 cm².  Class 8</title><content type='html'>&lt;iframe 
  width=&quot;315&quot; 
  height=&quot;560&quot; 
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  allow=&quot;accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share&quot; 
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&lt;/iframe&gt;</content><link rel='replies' type='application/atom+xml' href='http://www.updateans.com/feeds/3073564398453375696/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://www.updateans.com/2026/04/find-volume-of-cubical-box-whose.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/3073564398453375696'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/3073564398453375696'/><link rel='alternate' type='text/html' href='http://www.updateans.com/2026/04/find-volume-of-cubical-box-whose.html' title='Find Volume of a cubical box whose Surface area is 486 cm².  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://img.youtube.com/vi/BQhK3UP5GDU/default.jpg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3172376283061609300.post-7989298240743865880</id><published>2026-04-06T15:19:00.005+05:30</published><updated>2026-04-26T11:33:20.296+05:30</updated><category scheme="http://www.blogger.com/atom/ns#" term="class 8"/><category scheme="http://www.blogger.com/atom/ns#" term="Pythagoras Theorem"/><title type='text'> Pythagoras Tripet Generator with Example Class 8</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, user-scalable=yes&quot;&gt;
  &lt;title&gt;Pythagorean Triplets (Less than 30)&lt;/title&gt;
  &lt;style&gt;
    * {
      margin: 0;
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    body {
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      line-height: 1.5;
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    .container {
      max-width: 800px;
      margin: 0 auto;
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      border-radius: 28px;
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      padding: 1.5rem;
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    /* Question / Title section */
    .question {
      background: #fefce8;
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    .question p {
      font-size: 1.2rem;
      font-weight: 600;
      color: #854d0e;
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      width: auto;
      padding: 0.3rem 1rem;
      border-radius: 40px;
    }

    /* Responsive video container (16:9) */
    .video-wrapper {
      position: relative;
      width: 100%;
      padding-bottom: 56.25%;
      height: 0;
      overflow: hidden;
      border-radius: 20px;
      background: #000;
      margin-top: 0.5rem;
      box-shadow: 0 4px 12px rgba(0, 0, 0, 0.1);
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    .video-wrapper iframe {
      position: absolute;
      top: 0;
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    hr {
      margin: 1rem 0;
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&lt;/head&gt;
&lt;body&gt;
&lt;div class=&quot;container&quot;&gt;
  &lt;!-- Question Statement --&gt;
  &lt;div class=&quot;question&quot;&gt;
    &lt;p&gt;📐 Write three sets of Pythagorean triplets such that each set has numbers less than 30&lt;/p&gt;
  &lt;/div&gt;

  &lt;!-- Triplets Display --&gt;
  &lt;div class=&quot;triplets&quot;&gt;
    &lt;div class=&quot;triplet-list&quot;&gt;
      &lt;div class=&quot;triplet-card&quot;&gt;&lt;span&gt;❶&lt;/span&gt; 3, 4, 5&lt;/div&gt;
      &lt;div class=&quot;triplet-card&quot;&gt;&lt;span&gt;❷&lt;/span&gt; 6, 8, 10&lt;/div&gt;
      &lt;div class=&quot;triplet-card&quot;&gt;&lt;span&gt;❸&lt;/span&gt; 5, 12, 13&lt;/div&gt;
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      ✅ All numbers are &amp;lt; 30 and satisfy a² + b² = c²
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&lt;/html&gt;</content><link rel='replies' type='application/atom+xml' href='http://www.updateans.com/feeds/7989298240743865880/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://www.updateans.com/2026/04/pythagoras-tripet-generator-with.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/7989298240743865880'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/7989298240743865880'/><link rel='alternate' type='text/html' href='http://www.updateans.com/2026/04/pythagoras-tripet-generator-with.html' title=' Pythagoras Tripet Generator with Example 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><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3172376283061609300.post-8485563509964087405</id><published>2026-04-04T22:42:00.005+05:30</published><updated>2026-04-26T11:35:13.175+05:30</updated><category scheme="http://www.blogger.com/atom/ns#" term="AP"/><category scheme="http://www.blogger.com/atom/ns#" term="Class 10"/><category scheme="http://www.blogger.com/atom/ns#" term="Class 11"/><title type='text'>If pth term of an A. P. s is q and it&#39;s qth term is p. Show that it&#39;s (p+q) th term is zero</title><content type='html'>&lt;!-- Option 1: Responsive 16:9 (Standard Landscape) - Best for most videos --&gt;
&lt;style&gt;
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  .video-container iframe {
    position: absolute;
    top: 0;
    left: 0;
    width: 100%;
    height: 100%;
    border: 0;
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&lt;/style&gt;

&lt;div class=&quot;video-container&quot;&gt;
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    src=&quot;https://www.youtube-nocookie.com/embed/E6CxfVkFxnk&quot; 
    title=&quot;YouTube video player&quot; 
    allow=&quot;accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share&quot; 
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&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://www.updateans.com/feeds/8485563509964087405/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://www.updateans.com/2026/04/if-pth-term-of-a-p-s-is-q-and-its-qth.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/8485563509964087405'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/8485563509964087405'/><link rel='alternate' type='text/html' href='http://www.updateans.com/2026/04/if-pth-term-of-a-p-s-is-q-and-its-qth.html' title='If pth term of an A. P. s is q and it&#39;s qth term is p. Show that it&#39;s (p+q) th term is zero'/><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-4750566992944330197</id><published>2026-04-04T22:20:00.002+05:30</published><updated>2026-04-04T22:20:32.378+05:30</updated><title type='text'>Two A. P. s have the same common difference. If the difference between their 25th terms is 8. The difference between their 50 th term </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/AVvXsEhEgKE01YZID5uak64cqgJF6NYol7yeaWjV_1KPopbgEDUdJP9iqw-4RGUmy_v85AFcJK7Fs8skyVlsv5gE_fBZYjte2Z7i1oO7jg7jMf3ojBaqj2GHdFLvAh30l59HyYXY3yXnP5vI_CE1IAFydhBeVUbQvqs-EmZCvRrRN4GojlzFfGZ_7WyRgiIXcIc/s1920/Quick%20Note%207%2061%2020260404221734.png&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;1920&quot; data-original-width=&quot;1200&quot; height=&quot;640&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhEgKE01YZID5uak64cqgJF6NYol7yeaWjV_1KPopbgEDUdJP9iqw-4RGUmy_v85AFcJK7Fs8skyVlsv5gE_fBZYjte2Z7i1oO7jg7jMf3ojBaqj2GHdFLvAh30l59HyYXY3yXnP5vI_CE1IAFydhBeVUbQvqs-EmZCvRrRN4GojlzFfGZ_7WyRgiIXcIc/w400-h640/Quick%20Note%207%2061%2020260404221734.png&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/4750566992944330197/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://www.updateans.com/2026/04/two-p-s-have-same-common-difference-if.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/4750566992944330197'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/4750566992944330197'/><link rel='alternate' type='text/html' href='http://www.updateans.com/2026/04/two-p-s-have-same-common-difference-if.html' title='Two A. P. s have the same common difference. If the difference between their 25th terms is 8. The difference between their 50 th term '/><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/AVvXsEhEgKE01YZID5uak64cqgJF6NYol7yeaWjV_1KPopbgEDUdJP9iqw-4RGUmy_v85AFcJK7Fs8skyVlsv5gE_fBZYjte2Z7i1oO7jg7jMf3ojBaqj2GHdFLvAh30l59HyYXY3yXnP5vI_CE1IAFydhBeVUbQvqs-EmZCvRrRN4GojlzFfGZ_7WyRgiIXcIc/s72-w400-h640-c/Quick%20Note%207%2061%2020260404221734.png" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3172376283061609300.post-5786635489338684208</id><published>2026-04-03T23:09:00.009+05:30</published><updated>2026-04-26T12:09:54.590+05:30</updated><category scheme="http://www.blogger.com/atom/ns#" term="Class 11"/><category scheme="http://www.blogger.com/atom/ns#" term="IITJEE"/><title type='text'>JEE MAINS 2024 (27 JAN) LIMIT QUESTION FIND ab³</title><content type='html'>&lt;div style=&quot;position: relative; padding-bottom: 56.25%; height: 0; overflow: hidden; max-width: 100%; background: #000;&quot;&gt;
  &lt;iframe 
    style=&quot;position: absolute; top: 0; left: 0; width: 100%; height: 100%;&quot; 
    src=&quot;https://www.youtube.com/embed/rJr0sUMMThM?si=k89nzghU97A2yOGr&amp;modestbranding=1&amp;rel=0&quot; 
    title=&quot;YouTube video player&quot; 
    frameborder=&quot;0&quot; 
    allow=&quot;accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share&quot; 
    referrerpolicy=&quot;strict-origin-when-cross-origin&quot; 
    allowfullscreen&gt;
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&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://www.updateans.com/feeds/5786635489338684208/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://www.updateans.com/2026/04/jee-mains-2024-27-jan-limit-question.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/5786635489338684208'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/5786635489338684208'/><link rel='alternate' type='text/html' href='http://www.updateans.com/2026/04/jee-mains-2024-27-jan-limit-question.html' title='JEE MAINS 2024 (27 JAN) LIMIT QUESTION FIND ab³'/><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://img.youtube.com/vi/rJr0sUMMThM/default.jpg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3172376283061609300.post-3605429659282026834</id><published>2026-03-22T11:44:00.002+05:30</published><updated>2026-03-31T12:02:36.862+05:30</updated><category scheme="http://www.blogger.com/atom/ns#" term="class 8"/><category scheme="http://www.blogger.com/atom/ns#" term="Physics Question"/><title type='text'>Class 8 Physics Matter MCQ FM 25</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;
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            &lt;!-- Replaced &lt;i&gt; with actual image logo --&gt;
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                 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;
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                &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;
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                &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;
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                &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.
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                &lt;p class=&quot;toggle-text&quot; style=&quot;margin-top: 20px;&quot;&gt;Need to make payment first?&lt;/p&gt;
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        &lt;!-- Payment Card --&gt;
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            &lt;div class=&quot;payment-details&quot;&gt;
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                        &lt;i class=&quot;fas fa-check-circle&quot; style=&quot;color: #22c55e; font-size: 1.2rem;&quot;&gt;&lt;/i&gt;
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                &lt;div id=&quot;qrSection&quot; class=&quot;hidden&quot;&gt;
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                    &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;
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            &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
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            &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.
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        &lt;/div&gt;
        
        &lt;div class=&quot;footer&quot;&gt;
            &lt;p&gt;© 2023 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;
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    &lt;!-- Full Page Form (opens automatically after correct code entry) --&gt;
    &lt;div class=&quot;full-page-form hidden&quot; id=&quot;fullPageForm&quot;&gt;
        &lt;div class=&quot;form-header&quot;&gt;
            &lt;div class=&quot;form-header-content&quot;&gt;
                &lt;i class=&quot;fas fa-file-alt&quot; style=&quot;font-size: 1.5rem;&quot;&gt;&lt;/i&gt;
                &lt;h2&gt;ANS Mathematics &amp; Physics&lt;/h2&gt;
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        &lt;/div&gt;
        
        &lt;div class=&quot;form-container&quot;&gt;
            &lt;iframe 
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                title=&quot;Exam Form&quot;
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            // Submit code button click handler
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&lt;/html&gt;</content><link rel='replies' type='application/atom+xml' href='http://www.updateans.com/feeds/3605429659282026834/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://www.updateans.com/2026/03/class-8-physics-matter-mcq-fm-25.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/3605429659282026834'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3172376283061609300/posts/default/3605429659282026834'/><link rel='alternate' type='text/html' href='http://www.updateans.com/2026/03/class-8-physics-matter-mcq-fm-25.html' title='Class 8 Physics Matter MCQ FM 25'/><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></feed>