{"id":4144,"date":"2025-06-07T13:28:24","date_gmt":"2025-06-07T13:28:24","guid":{"rendered":"https:\/\/diznr.com\/?p=4144"},"modified":"2025-06-07T13:28:24","modified_gmt":"2025-06-07T13:28:24","slug":"non-verbal-reasoning-by-dr-r-s-aggarwal-analytical-reasoning-short-trick-to-finding-no-triangle-of","status":"publish","type":"post","link":"https:\/\/www.reilsolar.com\/pdf\/non-verbal-reasoning-by-dr-r-s-aggarwal-analytical-reasoning-short-trick-to-finding-no-triangle-of\/","title":{"rendered":"Non-Verbal Reasoning by Dr. R S Aggarwal-Analytical Reasoning- Short Trick to Finding no of triangle."},"content":{"rendered":"<p>Non-Verbal Reasoning by Dr. R S Aggarwal-Analytical Reasoning- Short Trick to Finding no of triangle.<\/p>\n<p>[fvplayer id=&#8221;626&#8243;]<\/p>\n<p class=\"\" data-start=\"0\" data-end=\"216\">Here&#8217;s a <strong data-start=\"9\" data-end=\"38\">short and effective trick<\/strong> to <strong data-start=\"42\" data-end=\"74\">find the number of triangles<\/strong> in Non-Verbal Reasoning problems \u2014 especially from books like <strong data-start=\"137\" data-end=\"215\">\u201cNon-Verbal Reasoning\u201d by Dr. R.S. Aggarwal (Analytical Reasoning section)<\/strong>.<\/p>\n<hr class=\"\" data-start=\"218\" data-end=\"221\" \/>\n<h2 class=\"\" data-start=\"223\" data-end=\"273\">\ud83d\udd3a <strong data-start=\"229\" data-end=\"273\">Short Trick to Count Number of Triangles<\/strong><\/h2>\n<h3 class=\"\" data-start=\"275\" data-end=\"346\">\u2705 <strong data-start=\"281\" data-end=\"346\">1. Use the Triangle Counting Formula (Straight Line Division)<\/strong><\/h3>\n<p class=\"\" data-start=\"348\" data-end=\"396\">For a triangle divided by lines from one vertex:<\/p>\n<blockquote data-start=\"398\" data-end=\"433\">\n<p class=\"\" data-start=\"400\" data-end=\"433\"><strong data-start=\"400\" data-end=\"433\">No. of triangles = n(n + 1)\/2<\/strong><\/p>\n<\/blockquote>\n<p class=\"\" data-start=\"435\" data-end=\"494\">Where <strong data-start=\"441\" data-end=\"446\">n<\/strong> is the number of divisions inside the triangle.<\/p>\n<p class=\"\" data-start=\"496\" data-end=\"597\"><strong data-start=\"496\" data-end=\"508\">Example:<\/strong><br \/>\nIf a triangle is divided into 4 parts from one vertex:<br data-start=\"563\" data-end=\"566\" \/>= 4(4 + 1)\/2 = <strong data-start=\"581\" data-end=\"597\">10 triangles<\/strong><\/p>\n<hr class=\"\" data-start=\"599\" data-end=\"602\" \/>\n<h3 class=\"\" data-start=\"604\" data-end=\"667\">\u2705 <strong data-start=\"610\" data-end=\"667\">2. Use Layer-Based Count (for Grid\/Stacked Triangles)<\/strong><\/h3>\n<p class=\"\" data-start=\"669\" data-end=\"705\">In stacked or step-triangle figures:<\/p>\n<blockquote data-start=\"707\" data-end=\"831\">\n<p class=\"\" data-start=\"709\" data-end=\"831\"><strong data-start=\"709\" data-end=\"775\">Total triangles = 1 + 3 + 5 + &#8230; (odd numbers for each layer)<\/strong><br data-start=\"775\" data-end=\"778\" \/>or<br data-start=\"780\" data-end=\"783\" \/>Use formula: <strong data-start=\"798\" data-end=\"804\">n\u00b2<\/strong> (where n = number of rows)<\/p>\n<\/blockquote>\n<p class=\"\" data-start=\"833\" data-end=\"922\"><strong data-start=\"833\" data-end=\"845\">Example:<\/strong><br data-start=\"845\" data-end=\"848\" \/>If there are 4 layers (rows of triangles):<br data-start=\"890\" data-end=\"893\" \/>Total = 4\u00b2 = <strong data-start=\"906\" data-end=\"922\">16 triangles<\/strong><\/p>\n<hr class=\"\" data-start=\"924\" data-end=\"927\" \/>\n<h3 class=\"\" data-start=\"929\" data-end=\"979\">\u2705 <strong data-start=\"935\" data-end=\"979\">3. For Complex Figures \u2013 Use Zone Method<\/strong><\/h3>\n<ul data-start=\"981\" data-end=\"1132\">\n<li class=\"\" data-start=\"981\" data-end=\"1028\">\n<p class=\"\" data-start=\"983\" data-end=\"1028\">Break the figure into <strong data-start=\"1005\" data-end=\"1014\">zones<\/strong> or <strong data-start=\"1018\" data-end=\"1028\">blocks<\/strong><\/p>\n<\/li>\n<li class=\"\" data-start=\"1029\" data-end=\"1070\">\n<p class=\"\" data-start=\"1031\" data-end=\"1070\">Count triangles in each zone separately<\/p>\n<\/li>\n<li class=\"\" data-start=\"1071\" data-end=\"1132\">\n<p class=\"\" data-start=\"1073\" data-end=\"1132\">Add all, including <strong data-start=\"1092\" data-end=\"1132\">big triangles formed by combinations<\/strong><\/p>\n<\/li>\n<\/ul>\n<p class=\"\" data-start=\"1134\" data-end=\"1200\"><strong data-start=\"1134\" data-end=\"1142\">Tip:<\/strong><br data-start=\"1142\" data-end=\"1145\" \/>Mark each triangle while counting to avoid duplication.<\/p>\n<hr class=\"\" data-start=\"1202\" data-end=\"1205\" \/>\n<h3 class=\"\" data-start=\"1207\" data-end=\"1254\">\u2705 <strong data-start=\"1213\" data-end=\"1254\">4. For Overlapping Squares or Figures<\/strong><\/h3>\n<ul data-start=\"1256\" data-end=\"1437\">\n<li class=\"\" data-start=\"1256\" data-end=\"1324\">\n<p class=\"\" data-start=\"1258\" data-end=\"1324\">Check how many <strong data-start=\"1273\" data-end=\"1294\">smaller triangles<\/strong> are formed inside each square<\/p>\n<\/li>\n<li class=\"\" data-start=\"1325\" data-end=\"1370\">\n<p class=\"\" data-start=\"1327\" data-end=\"1370\">Count the <strong data-start=\"1337\" data-end=\"1370\">overlapping\/intersecting ones<\/strong><\/p>\n<\/li>\n<li class=\"\" data-start=\"1371\" data-end=\"1437\">\n<p class=\"\" data-start=\"1373\" data-end=\"1437\">Count <strong data-start=\"1379\" data-end=\"1399\">bigger triangles<\/strong> formed by combination of smaller ones<\/p>\n<\/li>\n<\/ul>\n<hr class=\"\" data-start=\"1439\" data-end=\"1442\" \/>\n<h3 class=\"\" data-start=\"1444\" data-end=\"1503\">\ud83e\udde0 <strong data-start=\"1451\" data-end=\"1503\">Smart Tip: Use Colors or Labels While Practicing<\/strong><\/h3>\n<ul data-start=\"1505\" data-end=\"1606\">\n<li class=\"\" data-start=\"1505\" data-end=\"1553\">\n<p class=\"\" data-start=\"1507\" data-end=\"1553\">Use alphabets like A, B, C&#8230; to label corners<\/p>\n<\/li>\n<li class=\"\" data-start=\"1554\" data-end=\"1606\">\n<p class=\"\" data-start=\"1556\" data-end=\"1606\">Count small triangles first, then medium, then big<\/p>\n<\/li>\n<\/ul>\n<hr class=\"\" data-start=\"1608\" data-end=\"1611\" \/>\n<h2 class=\"\" data-start=\"1613\" data-end=\"1667\">\ud83d\udcdd <strong data-start=\"1619\" data-end=\"1667\">Example from Dr. R.S. Aggarwal (Common Type)<\/strong><\/h2>\n<p class=\"\" data-start=\"1669\" data-end=\"1838\">A triangle is divided into 3 parts by drawing 2 lines from the top vertex to the base.<br data-start=\"1755\" data-end=\"1758\" \/>\u2714 Count each triangle (3 small + 2 medium overlapping + 1 big) = <strong data-start=\"1823\" data-end=\"1838\">6 triangles<\/strong><\/p>\n<hr class=\"\" data-start=\"1840\" data-end=\"1843\" \/>\n<h2 class=\"\" data-start=\"1845\" data-end=\"1880\">\ud83d\udcda <strong data-start=\"1851\" data-end=\"1880\">Practice Examples to Try:<\/strong><\/h2>\n<ul data-start=\"1881\" data-end=\"2016\">\n<li class=\"\" data-start=\"1881\" data-end=\"1920\">\n<p class=\"\" data-start=\"1883\" data-end=\"1920\">A star shape (intersecting triangles)<\/p>\n<\/li>\n<li class=\"\" data-start=\"1921\" data-end=\"1943\">\n<p class=\"\" data-start=\"1923\" data-end=\"1943\">Pyramid of triangles<\/p>\n<\/li>\n<li class=\"\" data-start=\"1944\" data-end=\"1972\">\n<p class=\"\" data-start=\"1946\" data-end=\"1972\">A triangle inside a square<\/p>\n<\/li>\n<li class=\"\" data-start=\"1973\" data-end=\"2016\">\n<p class=\"\" data-start=\"1975\" data-end=\"2016\">A figure formed by intersecting diagonals<\/p>\n<\/li>\n<\/ul>\n<hr class=\"\" data-start=\"2018\" data-end=\"2021\" \/>\n<p class=\"\" data-start=\"2023\" data-end=\"2038\">Would you like:<\/p>\n<ul data-start=\"2039\" data-end=\"2220\">\n<li class=\"\" data-start=\"2039\" data-end=\"2103\">\n<p class=\"\" data-start=\"2041\" data-end=\"2103\">\u2705 A PDF sheet with <strong data-start=\"2060\" data-end=\"2102\">25 triangle-counting practice problems<\/strong>?<\/p>\n<\/li>\n<li class=\"\" data-start=\"2104\" data-end=\"2160\">\n<p class=\"\" data-start=\"2106\" data-end=\"2160\">\u2705 Video explanation of the <strong data-start=\"2133\" data-end=\"2159\">top 5 triangle puzzles<\/strong>?<\/p>\n<\/li>\n<li class=\"\" data-start=\"2161\" data-end=\"2220\">\n<p class=\"\" data-start=\"2163\" data-end=\"2220\">\u2705 A printable <strong data-start=\"2177\" data-end=\"2194\">formula chart<\/strong> for non-verbal reasoning?<\/p>\n<\/li>\n<\/ul>\n<p class=\"\" data-start=\"2222\" data-end=\"2263\">Let me know and I\u2019ll generate it for you.<\/p>\n<h3 data-start=\"2222\" data-end=\"2263\"><a href=\"https:\/\/www.lpude.in\/SLMs\/Master%20of%20Computer%20Applications\/Sem_1\/DEPEA515_ANALYTICAL_SKILLS-I.pdf\" target=\"_blank\" rel=\"noopener\">Non-Verbal Reasoning by Dr. R S Aggarwal-Analytical Reasoning- Short Trick to Finding no of triangle.<\/a><\/h3>\n<h3 class=\"LC20lb MBeuO DKV0Md\"><a href=\"https:\/\/cdn.bookey.app\/files\/pdf\/book\/en\/a-modern-approach-to-verbal---non-verbal-reasoning.pdf\" target=\"_blank\" rel=\"noopener\">A Modern Approach To Verbal &amp; Non Verbal Reasoning PDF<\/a><\/h3>\n<h3 class=\"LC20lb MBeuO DKV0Md\"><a href=\"http:\/\/103.203.175.90:81\/fdScript\/RootOfEBooks\/E%20Book%20collection%20-%202025\/UPSC\/rs_aggarwal_reasoning.pdf\" target=\"_blank\" rel=\"noopener\">A Modern App.To Verbal x26 Non Verbal Reasoning<\/a><\/h3>\n","protected":false},"excerpt":{"rendered":"<p>Non-Verbal Reasoning by Dr. R S Aggarwal-Analytical Reasoning- Short Trick to Finding no of triangle. [fvplayer id=&#8221;626&#8243;] Here&#8217;s a short and effective trick to find the number of triangles in Non-Verbal Reasoning problems \u2014 especially from books like \u201cNon-Verbal Reasoning\u201d by Dr. R.S. Aggarwal (Analytical Reasoning section). \ud83d\udd3a Short Trick to Count Number of Triangles [&hellip;]<\/p>\n","protected":false},"author":64,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[74],"tags":[],"class_list":["post-4144","post","type-post","status-publish","format-standard","hentry","category-non-verbal-reasoning"],"_links":{"self":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/4144","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/users\/64"}],"replies":[{"embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/comments?post=4144"}],"version-history":[{"count":0,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/4144\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/media?parent=4144"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/categories?post=4144"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/tags?post=4144"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}