{"id":89791,"date":"2025-06-01T10:12:45","date_gmt":"2025-06-01T10:12:45","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=89791"},"modified":"2025-06-01T10:12:45","modified_gmt":"2025-06-01T10:12:45","slug":"how-many-squares-are-there-in-the-figure-given-below","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/how-many-squares-are-there-in-the-figure-given-below\/","title":{"rendered":"How many squares are there in the figure given below ?"},"content":{"rendered":"<p>How many squares are there in the figure given below ?<\/p>\n<p>[amp_mcq option1=&#8221;24&#8243; option2=&#8221;28&#8243; option3=&#8221;30&#8243; option4=&#8221;32&#8243; correct=&#8221;option3&#8243;]<\/p>\n<div class=\"psc-box-pyq-exam-year-detail\">\n<div class=\"pyq-exam\">\n<div class=\"psc-heading\">This question was previously asked in<\/div>\n<div class=\"psc-title line-ellipsis\">UPSC CAPF &#8211; 2014<\/div>\n<\/div>\n<div class=\"pyq-exam-psc-buttons\"><a href=\"\/pyq\/pyq-upsc-capf-2014.pdf\" target=\"_blank\" class=\"psc-pdf-button\" rel=\"noopener\">Download PDF<\/a><a href=\"\/pyq-upsc-capf-2014\" target=\"_blank\" class=\"psc-attempt-button\" rel=\"noopener\">Attempt Online<\/a><\/div>\n<\/div>\n<section id=\"pyq-correct-answer\">\nThe correct answer is 30.<br \/>\n<\/section>\n<section id=\"pyq-key-points\">\nThe figure provided is a standard 4&#215;4 grid of squares. To find the total number of squares in an N x N grid, we count the number of squares of each possible size (1&#215;1, 2&#215;2, 3&#215;3, &#8230;, NxN) and sum them up.<br \/>\nFor a 4&#215;4 grid (N=4):<br \/>\n&#8211; Number of 1&#215;1 squares = 4 * 4 = 16<br \/>\n&#8211; Number of 2&#215;2 squares = 3 * 3 = 9<br \/>\n&#8211; Number of 3&#215;3 squares = 2 * 2 = 4<br \/>\n&#8211; Number of 4&#215;4 squares = 1 * 1 = 1<br \/>\nTotal number of squares = 16 + 9 + 4 + 1 = 30.<br \/>\n<\/section>\n<section id=\"pyq-additional-information\">\nThe general formula for the total number of squares in an N x N grid is the sum of squares from 1 to N: 1\u00b2 + 2\u00b2 + 3\u00b2 + &#8230; + N\u00b2. For N=4, the sum is 1\u00b2 + 2\u00b2 + 3\u00b2 + 4\u00b2 = 1 + 4 + 9 + 16 = 30.<br \/>\n<\/section>\n","protected":false},"excerpt":{"rendered":"<p>How many squares are there in the figure given below ? [amp_mcq option1=&#8221;24&#8243; option2=&#8221;28&#8243; option3=&#8221;30&#8243; option4=&#8221;32&#8243; correct=&#8221;option3&#8243;] This question was previously asked in UPSC CAPF &#8211; 2014 Download PDFAttempt Online The correct answer is 30. The figure provided is a standard 4&#215;4 grid of squares. To find the total number of squares in an N &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"How many squares are there in the figure given below ?\" class=\"read-more button\" href=\"https:\/\/exam.pscnotes.com\/mcq\/how-many-squares-are-there-in-the-figure-given-below\/#more-89791\">Detailed Solution<span class=\"screen-reader-text\">How many squares are there in the figure given below ?<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1085],"tags":[1468,1102],"class_list":["post-89791","post","type-post","status-publish","format-standard","hentry","category-upsc-capf","tag-1468","tag-quantitative-aptitude-and-reasoning","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>How many squares are there in the figure given below ?<\/title>\n<meta name=\"description\" content=\"The correct answer is 30. The figure provided is a standard 4x4 grid of squares. To find the total number of squares in an N x N grid, we count the number of squares of each possible size (1x1, 2x2, 3x3, ..., NxN) and sum them up. For a 4x4 grid (N=4): - Number of 1x1 squares = 4 * 4 = 16 - Number of 2x2 squares = 3 * 3 = 9 - Number of 3x3 squares = 2 * 2 = 4 - Number of 4x4 squares = 1 * 1 = 1 Total number of squares = 16 + 9 + 4 + 1 = 30.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/how-many-squares-are-there-in-the-figure-given-below\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"How many squares are there in the figure given below ?\" \/>\n<meta property=\"og:description\" content=\"The correct answer is 30. The figure provided is a standard 4x4 grid of squares. To find the total number of squares in an N x N grid, we count the number of squares of each possible size (1x1, 2x2, 3x3, ..., NxN) and sum them up. For a 4x4 grid (N=4): - Number of 1x1 squares = 4 * 4 = 16 - Number of 2x2 squares = 3 * 3 = 9 - Number of 3x3 squares = 2 * 2 = 4 - Number of 4x4 squares = 1 * 1 = 1 Total number of squares = 16 + 9 + 4 + 1 = 30.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/how-many-squares-are-there-in-the-figure-given-below\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T10:12:45+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"How many squares are there in the figure given below ?","description":"The correct answer is 30. The figure provided is a standard 4x4 grid of squares. To find the total number of squares in an N x N grid, we count the number of squares of each possible size (1x1, 2x2, 3x3, ..., NxN) and sum them up. For a 4x4 grid (N=4): - Number of 1x1 squares = 4 * 4 = 16 - Number of 2x2 squares = 3 * 3 = 9 - Number of 3x3 squares = 2 * 2 = 4 - Number of 4x4 squares = 1 * 1 = 1 Total number of squares = 16 + 9 + 4 + 1 = 30.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/how-many-squares-are-there-in-the-figure-given-below\/","og_locale":"en_US","og_type":"article","og_title":"How many squares are there in the figure given below ?","og_description":"The correct answer is 30. The figure provided is a standard 4x4 grid of squares. To find the total number of squares in an N x N grid, we count the number of squares of each possible size (1x1, 2x2, 3x3, ..., NxN) and sum them up. For a 4x4 grid (N=4): - Number of 1x1 squares = 4 * 4 = 16 - Number of 2x2 squares = 3 * 3 = 9 - Number of 3x3 squares = 2 * 2 = 4 - Number of 4x4 squares = 1 * 1 = 1 Total number of squares = 16 + 9 + 4 + 1 = 30.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/how-many-squares-are-there-in-the-figure-given-below\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T10:12:45+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/how-many-squares-are-there-in-the-figure-given-below\/","url":"https:\/\/exam.pscnotes.com\/mcq\/how-many-squares-are-there-in-the-figure-given-below\/","name":"How many squares are there in the figure given below ?","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T10:12:45+00:00","dateModified":"2025-06-01T10:12:45+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The correct answer is 30. The figure provided is a standard 4x4 grid of squares. To find the total number of squares in an N x N grid, we count the number of squares of each possible size (1x1, 2x2, 3x3, ..., NxN) and sum them up. For a 4x4 grid (N=4): - Number of 1x1 squares = 4 * 4 = 16 - Number of 2x2 squares = 3 * 3 = 9 - Number of 3x3 squares = 2 * 2 = 4 - Number of 4x4 squares = 1 * 1 = 1 Total number of squares = 16 + 9 + 4 + 1 = 30.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/how-many-squares-are-there-in-the-figure-given-below\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/how-many-squares-are-there-in-the-figure-given-below\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/how-many-squares-are-there-in-the-figure-given-below\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"UPSC CAPF","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/upsc-capf\/"},{"@type":"ListItem","position":3,"name":"How many squares are there in the figure given below ?"}]},{"@type":"WebSite","@id":"https:\/\/exam.pscnotes.com\/mcq\/#website","url":"https:\/\/exam.pscnotes.com\/mcq\/","name":"MCQ and Quiz for Exams","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/exam.pscnotes.com\/mcq\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209","name":"rawan239","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","caption":"rawan239"},"sameAs":["https:\/\/exam.pscnotes.com"],"url":"https:\/\/exam.pscnotes.com\/mcq\/author\/rawan239\/"}]}},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/89791","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/comments?post=89791"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/89791\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=89791"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=89791"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=89791"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}