{"id":224574,"date":"2026-05-20T09:06:21","date_gmt":"2026-05-20T03:36:21","guid":{"rendered":"https:\/\/www.oliveboard.in\/blog\/?p=224574"},"modified":"2026-05-20T09:06:22","modified_gmt":"2026-05-20T03:36:22","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\/#Square_MCQs_Download_link\" >Square MCQs Download link<\/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\/#Practice_Square_Questions_Live\" >Practice Square Questions (Live)<\/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\/#Sign_Up\" >Sign Up<\/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\/#Login\" >Login<\/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\/#Forgot_Password\" >Forgot Password<\/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\/#i\" >&nbsp;<\/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\/#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-8\" 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-9\" 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-10\" 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-11\" 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-12\" 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-13\" 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-14\" 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-15\" 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\" id=\"h-square-mcqs-download-link\"><span class=\"ez-toc-section\" id=\"Square_MCQs_Download_link\"><\/span><strong>Square MCQs Download link<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Download Square MCQs highly useful for\u00a0<a href=\"https:\/\/www.oliveboard.in\/ssc-exams\/?ref=contmk-blog-sqq\" target=\"_blank\" rel=\"noreferrer noopener\">SSC<\/a>,\u00a0<a href=\"https:\/\/www.oliveboard.in\/railway-exams\/?ref=contmk-blog-sqq\" target=\"_blank\" rel=\"noreferrer noopener\">Railways<\/a> by clicking on the link below :<\/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 wp-element-button\" href=\"https:\/\/www.oliveboard.in\/ssc-cgl-maths-topic-wise-questions-pdf\/?ref=contmk-blog-sqq\" target=\"_blank\" rel=\"noreferrer noopener\">Download PDF<\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-practice-square-questions-live\"><span class=\"ez-toc-section\" id=\"Practice_Square_Questions_Live\"><\/span>Practice Square Questions (Live)<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Below are some geography questions for SSC CGL and\u00a0<a href=\"https:\/\/www.oliveboard.in\/upcoming-government-exams\/?ref=contmk-blog-sqq\" target=\"_blank\" rel=\"noreferrer noopener\">other government exam<\/a> for your practice. Attempt them live and check your score as per the real exam marking scheme. You will get +1 for every correct answer, \u22120.25 for every wrong answer, and 0 for unattempted questions.<\/p>\n\n\n\n<!DOCTYPE html>\n<html lang=\"en\">\n<head>\n<meta charset=\"UTF-8\">\n<link rel=\"stylesheet\" href=\"https:\/\/courses.oliveboard.in\/edge\/css\/login-modal-for-blog.css\">\n\n<style>\n#quiz-1-sticky-header {\n  position: sticky;\n  top: 0;\n  z-index: 100;\n  background: #1565c0;\n  color: #fff;\n  padding: 12px 20px;\n  border-radius: 10px 10px 0 0;\n  display: flex;\n  justify-content: space-between;\n  align-items: center;\n  font-size: 16px;\n  font-weight: bold;\n  box-shadow: 0 2px 8px rgba(0,0,0,0.2);\n  margin: -20px -20px 20px -20px;\n}\n\n#quiz-1-score-badge {\n  background: rgba(255,255,255,0.2);\n  padding: 4px 12px;\n  border-radius: 20px;\n  font-size: 15px;\n  white-space: nowrap;\n}\n#quiz-1 * { box-sizing: border-box; }\n\n#quiz-1 .quiz-container {\n  max-width: 700px;\n  margin: auto;\n  padding: 20px;\n  background: #fff;\n  border-radius: 14px;\n  box-shadow: 0 6px 16px rgba(0,0,0,0.12);\n}\n\n#quiz-1 h2 {\n  text-align: center;\n}\n\n#quiz-1 .question {\n  margin-bottom: 22px;\n}\n\n#quiz-1 .question p {\n  font-weight: bold;\n}\n\n#quiz-1 button {\n  width: 100%;\n  padding: 12px;\n  margin: 6px 0;\n  border: none;\n  border-radius: 6px;\n  background: #e0e0e0;\n  color: #000;\n  font-size: 16px;\n  cursor: pointer;\n}\n\n#quiz-1 button:hover {\n  background: #d5d5d5;\n}\n\n#quiz-1 button.correct {\n  background: #4caf50;\n  color: #000;\n}\n\n#quiz-1 button.wrong {\n  background: #f44336;\n  color: #000;\n}\n\n#quiz-1 button.locked {\n  pointer-events: none;\n}\n\n\/* SUMMARY *\/\n#quiz-1 .final-summary {\n  margin-top: 40px;\n  padding: 20px;\n  border-radius: 14px;\n  background: #fafafa;\n  border: 2px solid #4caf50;\n}\n\n#quiz-1 .final-summary h3 {\n  text-align: center;\n  margin-bottom: 20px;\n}\n\n#quiz-1 .summary-row {\n  display: grid;\n  grid-template-columns: 120px 1fr 40px;\n  gap: 10px;\n  align-items: center;\n  margin-bottom: 12px;\n  font-weight: bold;\n}\n\n#quiz-1 .summary-bar {\n  height: 14px;\n  background: #ddd;\n  border-radius: 10px;\n  overflow: hidden;\n}\n\n#quiz-1 .bar-fill {\n  height: 100%;\n  width: 0%;\n}\n\n#quiz-1 .bar-attempted { background: #2196f3; }\n#quiz-1 .bar-correct { background: #4caf50; }\n#quiz-1 .bar-wrong { background: #f44336; }\n#quiz-1 .bar-unattempted { background: #9e9e9e; width: 100%; }\n\n#quiz-1 .final-score {\n  text-align: center;\n  font-size: 22px;\n  margin-top: 20px;\n}\n\n#quiz-1 .score-value {\n  font-size: 30px;\n  margin-left: 8px;\n}\n<\/style>\n<\/head>\n\n<body>\n<div id=\"quiz-1\">\n  <div class=\"quiz-container\">\n<div id=\"quiz-1-sticky-header\">\n  <span>Practice Square Based Questions Live <\/span>\n  <span id=\"quiz-1-score-badge\">Score: <strong id=\"quiz-1-score-value\">0.00<\/strong><\/span>\n<\/div>\n\n    <!-- QUESTIONS -->\n\n<div class=\"question\" data-answered=\"false\">\n<p>Q.1 A square&#8217;s side is increased by 30%. The area increases by:<\/p>\n<button data-correct=\"false\">A) 30%<\/button>\n<button data-correct=\"false\">B) 60%<\/button>\n<button data-correct=\"true\">C) 69%<\/button>\n<button data-correct=\"false\">D) 56%<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n<p>Q.2 If the diagonal of a square is increased by 40%, its area increases by:<\/p>\n<button data-correct=\"false\">A) 40%<\/button>\n<button data-correct=\"false\">B) 80%<\/button>\n<button data-correct=\"true\">C) 96%<\/button>\n<button data-correct=\"false\">D) 56%<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n<p>Q.3 The ratio of the area of a square to the area of a square drawn on its diagonal is:<\/p>\n<button data-correct=\"true\">A) 1:2<\/button>\n<button data-correct=\"false\">B) 2:1<\/button>\n<button data-correct=\"false\">C) 1:\u221a2<\/button>\n<button data-correct=\"false\">D) \u221a2:1<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n<p>Q.4 A square and an equilateral triangle have equal perimeters. Ratio of their areas is:<\/p>\n<button data-correct=\"false\">A) 4:3<\/button>\n<button data-correct=\"true\">B) 16:9<\/button>\n<button data-correct=\"false\">C) 16:12<\/button>\n<button data-correct=\"false\">D) 9:16<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n<p>Q.5 A square field of area 2 hectares has a path of 2 m wide running inside all around it. Area of the path is:<\/p>\n<button data-correct=\"false\">A) 1536 m\u00b2<\/button>\n<button data-correct=\"true\">B) 784 m\u00b2<\/button>\n<button data-correct=\"false\">C) 1936 m\u00b2<\/button>\n<button data-correct=\"false\">D) 1216 m\u00b2<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n<p>Q.6 The cost of fencing a square at \u20b915\/m is \u20b92400. What is the cost of tiling it at \u20b980\/m\u00b2?<\/p>\n<button data-correct=\"false\">A) \u20b964,000<\/button>\n<button data-correct=\"true\">B) \u20b91,28,000<\/button>\n<button data-correct=\"false\">C) \u20b916,000<\/button>\n<button data-correct=\"false\">D) \u20b932,000<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n<p>Q.7 Three squares have sides in ratio 1:2:3. The ratio of their areas is:<\/p>\n<button data-correct=\"true\">A) 1:4:9<\/button>\n<button data-correct=\"false\">B) 1:2:3<\/button>\n<button data-correct=\"false\">C) 1:8:27<\/button>\n<button data-correct=\"false\">D) 2:4:6<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n<p>Q.8 A square is cut into 4 equal smaller squares. The perimeter of each smaller square compared to the original is:<\/p>\n<button data-correct=\"true\">A) Half<\/button>\n<button data-correct=\"false\">B) One-fourth<\/button>\n<button data-correct=\"false\">C) One-third<\/button>\n<button data-correct=\"false\">D) Same<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n<p>Q.9 If the perimeter of a square equals the circumference of a circle, and the circle has radius 7 m, the area of the square is:<\/p>\n<button data-correct=\"true\">A) 121 m\u00b2<\/button>\n<button data-correct=\"false\">B) 144 m\u00b2<\/button>\n<button data-correct=\"false\">C) 169 m\u00b2<\/button>\n<button data-correct=\"false\">D) 196 m\u00b2<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n<p>Q.10 The areas of two squares are in ratio 9:16. The ratio of their diagonals is:<\/p>\n<button data-correct=\"true\">A) 3:4<\/button>\n<button data-correct=\"false\">B) 9:16<\/button>\n<button data-correct=\"false\">C) 81:256<\/button>\n<button data-correct=\"false\">D) \u221a3:\u221a4<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n<p>Q.11 A square room&#8217;s floor is covered by 400 tiles of 20 cm side. The side of the room is:<\/p>\n<button data-correct=\"false\">A) 40 m<\/button>\n<button data-correct=\"true\">B) 4 m<\/button>\n<button data-correct=\"false\">C) 8 m<\/button>\n<button data-correct=\"false\">D) 400 m<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n<p>Q.12 A man walks along the boundary of a square park at 6 km\/h and completes one round in 20 minutes. Area of the park is:<\/p>\n<button data-correct=\"false\">A) 1 km\u00b2<\/button>\n<button data-correct=\"false\">B) 25 km\u00b2<\/button>\n<button data-correct=\"true\">C) 250000 m\u00b2<\/button>\n<button data-correct=\"false\">D) 2500 m\u00b2<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n<p>Q.13 The diagonal of a square A is double the side of square B. Ratio of area of A to area of B is:<\/p>\n<button data-correct=\"false\">A) 1:1<\/button>\n<button data-correct=\"true\">B) 2:1<\/button>\n<button data-correct=\"false\">C) 1:2<\/button>\n<button data-correct=\"false\">D) 4:1<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n<p>Q.14 Two squares have sides (x + 4) and (2x \u2212 3). If their perimeters are equal, find x.<\/p>\n<button data-correct=\"false\">A) 5<\/button>\n<button data-correct=\"true\">B) 7<\/button>\n<button data-correct=\"false\">C) 3<\/button>\n<button data-correct=\"false\">D) 9<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n<p>Q.15 A square carpet covers 64% of a square room. If the room&#8217;s side is 15 m, find the side of the carpet.<\/p>\n<button data-correct=\"false\">A) 9.6 m<\/button>\n<button data-correct=\"false\">B) 10 m<\/button>\n<button data-correct=\"true\">C) 12 m<\/button>\n<button data-correct=\"false\">D) 8 m<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n<p>Q.16 If each side of a square is increased by &#8216;a&#8217; metres, the area increases by 88 m\u00b2. If the original side is 9 m, find &#8216;a&#8217;.<\/p>\n<button data-correct=\"false\">A) 2 m<\/button>\n<button data-correct=\"false\">B) 3 m<\/button>\n<button data-correct=\"true\">C) 4 m<\/button>\n<button data-correct=\"false\">D) 5 m<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n<p>Q.17 A wire of 120 cm is bent first into a square and then into a circle. Ratio of area of square to circle is:<\/p>\n<button data-correct=\"false\">A) 7:11<\/button>\n<button data-correct=\"false\">B) 14:11<\/button>\n<button data-correct=\"true\">C) 11:14<\/button>\n<button data-correct=\"false\">D) 22:7<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n<p>Q.18 A square plot has a 3 m wide road outside on two adjacent sides. If the plot side is 20 m, area of roads is:<\/p>\n<button data-correct=\"false\">A) 120 m\u00b2<\/button>\n<button data-correct=\"true\">B) 129 m\u00b2<\/button>\n<button data-correct=\"false\">C) 123 m\u00b2<\/button>\n<button data-correct=\"false\">D) 126 m\u00b2<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n<p>Q.19 The side of a square is a rational number. Its diagonal is always:<\/p>\n<button data-correct=\"false\">A) Rational<\/button>\n<button data-correct=\"true\">B) Irrational<\/button>\n<button data-correct=\"false\">C) Integer<\/button>\n<button data-correct=\"false\">D) Prime<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n<p>Q.20 A square of side 8 m and a rectangle of length 16 m have equal areas. What is the perimeter of the rectangle?<\/p>\n<button data-correct=\"true\">A) 40 m<\/button>\n<button data-correct=\"false\">B) 48 m<\/button>\n<button data-correct=\"false\">C) 32 m<\/button>\n<button data-correct=\"false\">D) 56 m<\/button>\n<\/div>\n    <!-- FINAL SUMMARY -->\n    <div class=\"final-summary\">\n      <h3>Quiz Summary <\/h3>\n\n      <div class=\"summary-row\">\n        <span>Attempted<\/span>\n        <div class=\"summary-bar\"><div class=\"bar-fill bar-attempted\" data-summary=\"attempted\"><\/div><\/div>\n        <span data-count=\"attempted\">0<\/span>\n      <\/div>\n\n      <div class=\"summary-row\">\n        <span>Correct<\/span>\n        <div class=\"summary-bar\"><div class=\"bar-fill bar-correct\" data-summary=\"correct\"><\/div><\/div>\n        <span data-count=\"correct\">0<\/span>\n      <\/div>\n\n      <div class=\"summary-row\">\n        <span>Wrong<\/span>\n        <div class=\"summary-bar\"><div class=\"bar-fill bar-wrong\" data-summary=\"wrong\"><\/div><\/div>\n        <span data-count=\"wrong\">0<\/span>\n      <\/div>\n\n      <div class=\"summary-row\">\n        <span>Unattempted<\/span>\n        <div class=\"summary-bar\"><div class=\"bar-fill bar-unattempted\" data-summary=\"unattempted\"><\/div><\/div>\n        <span data-count=\"unattempted\">0<\/span>\n      <\/div>\n\n      <div class=\"final-score\">\n        Final Score: <span class=\"score-value\" data-score>0.0<\/span>\n      <\/div>\n    <\/div>\n\n  <\/div>\n<\/div>\n<div class=\"modal modal-obls\" id=\"modal-signup\">\n        <div class=\"modal-background\"><\/div>\n        <div class=\"modal-content\">\n           <div class=\"obls-group\" id=\"obls-group1\">\n               <div class=\"obls-blk\">\n                   <span class=\"img-box\"><img decoding=\"async\" src=\"\/img\/img-delivery.svg\" alt=\"\"><\/span>\n                   <h2 id=\"display-register-text\"><span class=\"ez-toc-section\" id=\"Sign_Up\"><\/span>Sign Up<span 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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\">\n<li>Formula memorization (area, perimeter, diagonal)<\/li>\n\n\n\n<li>Quick square number calculation<\/li>\n\n\n\n<li>Ability to relate squares to rectangles and other polygons<\/li>\n<\/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 wp-element-button\" href=\"https:\/\/www.oliveboard.in\/ssc-cgl-mock-test\/?ref=contmk-blog-sqq\" 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\" id=\"h-why-is-square-important-in-competitive-exams\"><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\" id=\"h-square-quantitative-aptitude-short-notes\"><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\" id=\"h-formulas-related-to-area-and-perimeter-of-square\"><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\" id=\"h-what-are-the-types-of-square-questions-in-quantitative-aptitude\"><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\">\n<li><strong>Direct:<\/strong> Area, perimeter, diagonal from side length<\/li>\n\n\n\n<li><strong>Application-based:<\/strong> Tiling, fencing, cost calculation<\/li>\n\n\n\n<li><strong>Mixed-concept:<\/strong> Square combined with rectangles, triangles, or circles<\/li>\n\n\n\n<li><strong>Puzzle-based:<\/strong> Square arrangements and grid problems<\/li>\n<\/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 wp-element-button\" href=\"https:\/\/www.oliveboard.in\/sbi-po-mock-test\/?ref=contmk-blog-sqq\" 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\" id=\"h-square-formulas-for-quantitative-aptitude\"><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\" id=\"h-square-tricks-for-ssc-cgl-and-other-exams\"><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\">\n<li>Memorize the first 30 square numbers for quick calculation.<\/li>\n\n\n\n<li>Use diagonal formula a\u221a2 to avoid double calculation steps.<\/li>\n\n\n\n<li>For tiling\/fencing problems, convert all units to the same measure before solving.<\/li>\n\n\n\n<li>In cost problems, multiply cost per unit directly with perimeter or area.<\/li>\n\n\n\n<li>Eliminate unrealistic options using magnitude comparison before full calculation.<\/li>\n\n\n\n<li><\/li>\n<\/ol>\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 wp-element-button\" href=\"https:\/\/www.oliveboard.in\/ibps-po-mock-test\/?ref=contmk-blog-sqq\" 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\" id=\"h-common-mistakes-to-avoid-while-solving-square-questions\"><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\">\n<li>Forgetting to convert units (m \u2194 cm).<\/li>\n\n\n\n<li>Mixing up diagonal and side length formulas.<\/li>\n\n\n\n<li>Using perimeter formula for area (and vice versa).<\/li>\n\n\n\n<li>Not squaring correctly for large numbers.<\/li>\n\n\n\n<li>Skipping diagram for complex application problems.<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-faqs\"><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\/sbi-po-job-profile-and-responsibilities\/\">SBI PO Job Profile, Roles &amp; Career Growth Details<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/sbi-po-work-life-balance\/\">Is the SBI PO Job Hectic? Check job profile and work-life balance<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/sbi-po-quant-important-topics\/\">How to Prepare for SBI PO Quant in 30 Days?<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/ideal-typing-speed-for-sbi-po-mains-descriptive-exam\/\">How to Increase Speed for the SBI PO Descriptive Test? New Pattern<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/sbi-po-descriptive-test-new-pattern-details\/\">SBI PO Descriptive Test New Pattern 2026: Marks, Format &amp; Topics<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/sbi-po-english-preparation\/\">How to Prepare for SBI PO English in 30 Days?<\/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":244267,"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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Can squares appear in coordinate geometry questions?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Yes, by verifying equal sides and right angles using distance formula.","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/www.oliveboard.in\/blog\/square-questions\/#faq-question-1755068772101","position":2,"url":"https:\/\/www.oliveboard.in\/blog\/square-questions\/#faq-question-1755068772101","name":"Q2. Can square be a rhombus?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Yes, it\u2019s a special type of rhombus with right angles.","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/www.oliveboard.in\/blog\/square-questions\/#faq-question-1755068772684","position":3,"url":"https:\/\/www.oliveboard.in\/blog\/square-questions\/#faq-question-1755068772684","name":"Q3. What is the relation between square and rectangle?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Square is a rectangle with all sides equal.","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/www.oliveboard.in\/blog\/square-questions\/#faq-question-1755068773594","position":4,"url":"https:\/\/www.oliveboard.in\/blog\/square-questions\/#faq-question-1755068773594","name":"Q4. How to solve cost-based square problems?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Multiply perimeter or area by rate given.","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/www.oliveboard.in\/blog\/square-questions\/#faq-question-1755068774143","position":5,"url":"https:\/\/www.oliveboard.in\/blog\/square-questions\/#faq-question-1755068774143","name":"Q5. 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