{"id":224574,"date":"2025-08-13T12:42:36","date_gmt":"2025-08-13T07:12:36","guid":{"rendered":"https:\/\/www.oliveboard.in\/blog\/?p=224574"},"modified":"2025-08-13T12:42:37","modified_gmt":"2025-08-13T07:12:37","slug":"square-questions","status":"publish","type":"post","link":"https:\/\/www.oliveboard.in\/blog\/square-questions\/","title":{"rendered":"Square Formulas, Concepts, Strategies, Short Tricks, and Tips"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_77 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of content<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.oliveboard.in\/blog\/square-questions\/#What_Is_Square_in_Quantitative_Aptitude\" >What Is Square in Quantitative Aptitude?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.oliveboard.in\/blog\/square-questions\/#Why_Is_Square_Important_in_Competitive_Exams\" >Why Is Square Important in Competitive Exams?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.oliveboard.in\/blog\/square-questions\/#Square_Quantitative_Aptitude_Short_Notes\" >Square Quantitative Aptitude Short Notes<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.oliveboard.in\/blog\/square-questions\/#Formulas_Related_to_Area_and_Perimeter_of_Square\" >Formulas Related to Area and Perimeter of Square<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.oliveboard.in\/blog\/square-questions\/#What_Are_the_Types_of_Square_Questions_in_Quantitative_Aptitude\" >What Are the Types of Square Questions in Quantitative Aptitude?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.oliveboard.in\/blog\/square-questions\/#Square_Formulas_for_Quantitative_Aptitude\" >Square Formulas for Quantitative Aptitude<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.oliveboard.in\/blog\/square-questions\/#Square_Tricks_for_SSC_CGL_and_Other_Exams\" >Square Tricks for SSC CGL and Other Exams<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.oliveboard.in\/blog\/square-questions\/#Solved_Square_Questions_from_2024%E2%80%9325_Exams\" >Solved Square Questions from 2024\u201325 Exams<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.oliveboard.in\/blog\/square-questions\/#Common_Mistakes_to_Avoid_while_Solving_Square_Questions\" >Common Mistakes to Avoid while Solving Square Questions<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.oliveboard.in\/blog\/square-questions\/#FAQs\" >FAQs<\/a><\/li><\/ul><\/nav><\/div>\n\n<p>The square is one of the simplest yet most frequently tested shapes in Quantitative Aptitude. From perimeter and area to diagonal-based calculations, square questions appear across SSC, Banking, and Railway exams. In this we have provided all the details of square from definitions, formulas, shortcuts, solved questions from recent exams, common mistakes, and smart strategies to solve square-related problems quickly.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"What_Is_Square_in_Quantitative_Aptitude\"><\/span>What Is Square in Quantitative Aptitude?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>A square is a <strong>four-sided regular polygon<\/strong> where all sides are equal and all angles are 90\u00b0. It is a special case of a rectangle and rhombus.<\/p>\n\n\n\n<p><strong>Why it appears in exams:<\/strong><br>Squares are easy to test for geometry basics, mensuration, and number-based applications such as tiling, fencing, and area comparison problems.<\/p>\n\n\n\n<p><strong>Skills required to solve square questions:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Formula memorization (area, perimeter, diagonal)<\/li><li>Quick square number calculation<\/li><li>Ability to relate squares to rectangles and other polygons<\/li><\/ul>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link\" href=\"https:\/\/www.oliveboard.in\/ssc-cgl-mock-test\/?ref=contac-acb\" target=\"_blank\" rel=\"noreferrer noopener\">Attempt A Free SSC CGL Mock Test<\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Why_Is_Square_Important_in_Competitive_Exams\"><\/span>Why Is Square Important in Competitive Exams?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Square-based problems are among the <strong>fastest scoring<\/strong> topics in quantitative aptitude.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Exam<\/strong><\/td><td><strong>No. of Questions<\/strong><\/td><td><strong>Difficulty<\/strong><\/td><\/tr><tr><td>SSC CGL \/ CHSL<\/td><td>1\u20132<\/td><td>Easy<\/td><\/tr><tr><td>IBPS PO \/ SBI PO<\/td><td>1<\/td><td>Easy\u2013Moderate<\/td><\/tr><tr><td>RRB NTPC \/ Group D<\/td><td>1<\/td><td>Easy<\/td><\/tr><tr><td>State PSC \/ Police<\/td><td>1\u20132<\/td><td>Moderate<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Square_Quantitative_Aptitude_Short_Notes\"><\/span>Square Quantitative Aptitude Short Notes<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Some of the common terms used to solve questions based on squares are as follows:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Term<\/strong><\/td><td><strong>Details<\/strong><\/td><\/tr><tr><td>Side (a)<\/td><td>Length of one side of the square<\/td><\/tr><tr><td>Perimeter<\/td><td>4 \u00d7 a<\/td><\/tr><tr><td>Area<\/td><td>a\u00b2<\/td><\/tr><tr><td>Diagonal<\/td><td>a\u221a2<\/td><\/tr><tr><td>Area from diagonal<\/td><td>(Diagonal\u00b2) \/ 2<\/td><\/tr><tr><td>Perimeter from diagonal<\/td><td>2\u221a2 \u00d7 Diagonal<\/td><\/tr><tr><td>Special property<\/td><td>Square is both a rectangle and a rhombus<\/td><\/tr><tr><td>Application<\/td><td>Fencing, tiling, flooring, land measurement<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formulas_Related_to_Area_and_Perimeter_of_Square\"><\/span>Formulas Related to Area and Perimeter of Square<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>The basic formulas used to solve questions based on the area and perimeter of squares are as follows:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Concept<\/strong><\/td><td><strong>Details<\/strong><\/td><\/tr><tr><td>Area<\/td><td>a\u00b2<\/td><\/tr><tr><td>Perimeter<\/td><td>4 \u00d7 a<\/td><\/tr><tr><td>Diagonal<\/td><td>a\u221a2<\/td><\/tr><tr><td>Area using diagonal<\/td><td>(d\u00b2) \/ 2<\/td><\/tr><tr><td>Number of tiles in square area<\/td><td>Area \u00f7 area of one tile<\/td><\/tr><tr><td>Square in coordinate geometry<\/td><td>Distance formula to verify equal sides<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"What_Are_the_Types_of_Square_Questions_in_Quantitative_Aptitude\"><\/span>What Are the Types of Square Questions in Quantitative Aptitude?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>The types of questions asked on the topic of squares are as follows:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><strong>Direct:<\/strong> Area, perimeter, diagonal from side length<\/li><li><strong>Application-based:<\/strong> Tiling, fencing, cost calculation<\/li><li><strong>Mixed-concept:<\/strong> Square combined with rectangles, triangles, or circles<\/li><li><strong>Puzzle-based:<\/strong> Square arrangements and grid problems<\/li><\/ul>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link\" href=\"https:\/\/www.oliveboard.in\/sbi-po-mock-test\/?ref=contac-acb\" target=\"_blank\" rel=\"noreferrer noopener\">Attempt A Free SBI PO Mock Test<\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Square_Formulas_for_Quantitative_Aptitude\"><\/span>Square Formulas for Quantitative Aptitude<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Basic formulas related to the topic of squares are as follows:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Formula<\/strong><\/td><td><strong>Details<\/strong><\/td><\/tr><tr><td>Area = a\u00b2<\/td><td>Standard area calculation<\/td><\/tr><tr><td>Perimeter = 4a<\/td><td>Total length around square<\/td><\/tr><tr><td>Diagonal = a\u221a2<\/td><td>Distance between opposite vertices<\/td><\/tr><tr><td>Area from diagonal = (d\u00b2)\/2<\/td><td>When diagonal is known<\/td><\/tr><tr><td>Perimeter from diagonal = 2\u221a2 \u00d7 d<\/td><td>Reverse calculation<\/td><\/tr><tr><td>Number of tiles = (Area of square) \/ (Area of one tile)<\/td><td>Tiling problems<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Square_Tricks_for_SSC_CGL_and_Other_Exams\"><\/span>Square Tricks for SSC CGL and Other Exams<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>The short tricks used to solve questions based on the topic of squares are as follows:<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>Memorize the first 30 square numbers for quick calculation.<\/li><li>Use diagonal formula a\u221a2 to avoid double calculation steps.<\/li><li>For tiling\/fencing problems, convert all units to the same measure before solving.<\/li><li>In cost problems, multiply cost per unit directly with perimeter or area.<\/li><li>Eliminate unrealistic options using magnitude comparison before full calculation.<\/li><\/ol>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Solved_Square_Questions_from_2024%E2%80%9325_Exams\"><\/span>Solved Square Questions from 2024\u201325 Exams<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p><strong>1. SSC CGL 2024 Tier 1 \u2013 Shift 3 \u2013 Memory-Based<\/strong><br><strong>Question:<\/strong> A square field has a side of 50 m. Find its perimeter.<br><strong>Answer:<\/strong> 200 m<br><strong>Explanation:<\/strong> Perimeter = 4 \u00d7 50 = 200<\/p>\n\n\n\n<p><strong>2. IBPS Clerk Prelims 2024<\/strong><br><strong>Question:<\/strong> A square park has an area of 1225 m\u00b2. Find the length of its diagonal.<br><strong>Answer:<\/strong> 70\u221a2 m<br><strong>Explanation:<\/strong> Side = \u221a1225 = 35 \u2192 Diagonal = 35\u221a2<\/p>\n\n\n\n<p><strong>3. RRB Group D 2024 \u2013 Based on Memory<\/strong><br><strong>Question:<\/strong> A square tile of side 20 cm is used to cover a floor of area 8 m\u00b2. How many tiles are needed?<br><strong>Answer:<\/strong> 200 tiles<br><strong>Explanation:<\/strong> Tile area = 0.2\u00b2 = 0.04 m\u00b2 \u2192 No. of tiles = 8 \u00f7 0.04 = 200<\/p>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link\" href=\"https:\/\/www.oliveboard.in\/ibps-po-mock-test\/?ref=contac-acb\" target=\"_blank\" rel=\"noreferrer noopener\">Attempt A Free IBPS PO Mock Test<\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Common_Mistakes_to_Avoid_while_Solving_Square_Questions\"><\/span>Common Mistakes to Avoid while Solving Square Questions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Common mistakes to avoid while solving questions based on the topic of squares are as follows:<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>Forgetting to convert units (m \u2194 cm).<\/li><li>Mixing up diagonal and side length formulas.<\/li><li>Using perimeter formula for area (and vice versa).<\/li><li>Not squaring correctly for large numbers.<\/li><li>Skipping diagram for complex application problems.<\/li><\/ol>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"FAQs\"><\/span>FAQs<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<div class=\"schema-faq wp-block-yoast-faq-block\"><div class=\"schema-faq-section\" id=\"faq-question-1755068771234\"><strong class=\"schema-faq-question\">Q1. Can squares appear in coordinate geometry questions?<\/strong> <p class=\"schema-faq-answer\">Yes, by verifying equal sides and right angles using distance formula.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1755068772101\"><strong class=\"schema-faq-question\">Q2. Can square be a rhombus?<\/strong> <p class=\"schema-faq-answer\">Yes, it\u2019s a special type of rhombus with right angles.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1755068772684\"><strong class=\"schema-faq-question\">Q3. What is the relation between square and rectangle?<\/strong> <p class=\"schema-faq-answer\">Square is a rectangle with all sides equal.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1755068773594\"><strong class=\"schema-faq-question\">Q4. How to solve cost-based square problems?<\/strong> <p class=\"schema-faq-answer\">Multiply perimeter or area by rate given.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1755068774143\"><strong class=\"schema-faq-question\">Q5. How to find the side length from the diagonal?<\/strong> <p class=\"schema-faq-answer\">Divide the diagonal by \u221a2.<\/p> <\/div> <\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n<ul class=\"wp-block-latest-posts__list is-grid columns-3 wp-block-latest-posts\"><li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/floor-based-puzzles\/\">Floor-Based Puzzles Reasoning, FREE PDF &amp; Live Quiz<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/nabard-development-assistant-shift-timings\/\">NABARD DA Mains Shift Timings 2026, Get FREE Study Notes<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/highest-paying-jobs-in-indian-railways\/\">Highest Paying Jobs in Indian Railways, Check Salaries<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/ssc-cgl-preparation-quant-tips\/\">SSC CGL Quant Preparation, Tips and Complete Strategy<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/machine-input-and-output-questions\/\">Machine Input Output Questions with Shortcuts, FREE PDF &amp; Quiz<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/error-spotting-questions\/\">Error Spotting Questions for SSC CGL, Download Free Ebook<\/a><\/li>\n<\/ul>","protected":false},"excerpt":{"rendered":"<p>The square is one of the simplest yet most frequently tested shapes in Quantitative Aptitude. From perimeter and area to<\/p>\n","protected":false},"author":58,"featured_media":224588,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[31,10231],"tags":[],"class_list":["post-224574","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-bank-exams","category-ssc-railways","generate-columns","tablet-grid-50","mobile-grid-100","grid-parent","grid-50"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v26.6 (Yoast SEO v26.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Square Formulas, Concepts, Strategies, Short Tricks, and Tips<\/title>\n<meta name=\"description\" content=\"Check out details of the types of questions based on square, along with formulas, strategies, concepts, &amp; short tricks &amp; tips to solve them.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.oliveboard.in\/blog\/square-questions\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Square Formulas, Concepts, Strategies, Short Tricks, and Tips\" \/>\n<meta property=\"og:description\" content=\"The square is one of the simplest yet most frequently tested shapes in Quantitative Aptitude. 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