{"id":89215,"date":"2025-06-01T09:59:10","date_gmt":"2025-06-01T09:59:10","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=89215"},"modified":"2025-06-01T09:59:10","modified_gmt":"2025-06-01T09:59:10","slug":"the-following-blocks-are-of-the-same-material-which-is-the-heaviest-o","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-following-blocks-are-of-the-same-material-which-is-the-heaviest-o\/","title":{"rendered":"The following blocks are of the same material. Which is the heaviest o"},"content":{"rendered":"<p>The following blocks are of the same material. Which is the heaviest one ?<\/p>\n<p>[amp_mcq option1=&#8221;A&#8221; option2=&#8221;B&#8221; option3=&#8221;C&#8221; option4=&#8221;All equal&#8221; 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; 2009<\/div>\n<\/div>\n<div class=\"pyq-exam-psc-buttons\"><a href=\"\/pyq\/pyq-upsc-capf-2009.pdf\" target=\"_blank\" class=\"psc-pdf-button\" rel=\"noopener\">Download PDF<\/a><a href=\"\/pyq-upsc-capf-2009\" target=\"_blank\" class=\"psc-attempt-button\" rel=\"noopener\">Attempt Online<\/a><\/div>\n<\/div>\n<section id=\"pyq-correct-answer\">\nThe correct option is C.<br \/>\n<\/section>\n<section id=\"pyq-key-points\">\nThe blocks are of the same material, so their weight is directly proportional to their volume. The heaviest block is the one with the largest volume. We assume the blocks are made up of unit cubes based on the visible grid lines.<br \/>\nBlock A: Appears to be a $2 \\times 1 \\times 1$ block. Volume $V_A = 2 \\times 1 \\times 1 = 2$ cubic units. (Composed of 2 unit cubes).<br \/>\nBlock B: Appears to have a $2 \\times 2$ base (4 unit cubes) and a $1 \\times 1$ block (1 unit cube) stacked on top. Total volume $V_B = (2 \\times 2 \\times 1) + (1 \\times 1 \\times 1) = 4 + 1 = 5$ cubic units. (Composed of 5 unit cubes).<br \/>\nBlock C: Appears to have an L-shaped base and a height of 2 units. The L-shaped base is a $2 \\times 2$ square with a $1 \\times 1$ corner removed, so the area of the base is $2 \\times 2 &#8211; 1 \\times 1 = 4 &#8211; 1 = 3$ square units. The height is 2 units. Total volume $V_C = \\text{Area of base} \\times \\text{Height} = 3 \\times 2 = 6$ cubic units. (Composed of 6 unit cubes).<\/p>\n<p>Comparing the volumes: $V_A = 2$, $V_B = 5$, $V_C = 6$.<br \/>\nBlock C has the largest volume (6 cubic units) and is therefore the heaviest.<br \/>\n<\/section>\n<section id=\"pyq-additional-information\">\nVisualizing the blocks as being made up of unit cubes helps in calculating their volumes by counting or by using geometric formulas based on the apparent dimensions. Assuming uniformity of material implies constant density, so weight is proportional to volume.<br \/>\n<\/section>\n","protected":false},"excerpt":{"rendered":"<p>The following blocks are of the same material. Which is the heaviest one ? [amp_mcq option1=&#8221;A&#8221; option2=&#8221;B&#8221; option3=&#8221;C&#8221; option4=&#8221;All equal&#8221; correct=&#8221;option3&#8243;] This question was previously asked in UPSC CAPF &#8211; 2009 Download PDFAttempt Online The correct option is C. The blocks are of the same material, so their weight is directly proportional to their volume. &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"The following blocks are of the same material. Which is the heaviest o\" class=\"read-more button\" href=\"https:\/\/exam.pscnotes.com\/mcq\/the-following-blocks-are-of-the-same-material-which-is-the-heaviest-o\/#more-89215\">Detailed Solution<span class=\"screen-reader-text\">The following blocks are of the same material. Which is the heaviest o<\/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":[1462,1102],"class_list":["post-89215","post","type-post","status-publish","format-standard","hentry","category-upsc-capf","tag-1462","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>The following blocks are of the same material. Which is the heaviest o<\/title>\n<meta name=\"description\" content=\"The correct option is C. The blocks are of the same material, so their weight is directly proportional to their volume. The heaviest block is the one with the largest volume. We assume the blocks are made up of unit cubes based on the visible grid lines. Block A: Appears to be a $2 times 1 times 1$ block. Volume $V_A = 2 times 1 times 1 = 2$ cubic units. (Composed of 2 unit cubes). Block B: Appears to have a $2 times 2$ base (4 unit cubes) and a $1 times 1$ block (1 unit cube) stacked on top. Total volume $V_B = (2 times 2 times 1) + (1 times 1 times 1) = 4 + 1 = 5$ cubic units. (Composed of 5 unit cubes). Block C: Appears to have an L-shaped base and a height of 2 units. The L-shaped base is a $2 times 2$ square with a $1 times 1$ corner removed, so the area of the base is $2 times 2 - 1 times 1 = 4 - 1 = 3$ square units. The height is 2 units. Total volume $V_C = text{Area of base} times text{Height} = 3 times 2 = 6$ cubic units. (Composed of 6 unit cubes). Comparing the volumes: $V_A = 2$, $V_B = 5$, $V_C = 6$. Block C has the largest volume (6 cubic units) and is therefore the heaviest.\" \/>\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\/the-following-blocks-are-of-the-same-material-which-is-the-heaviest-o\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The following blocks are of the same material. Which is the heaviest o\" \/>\n<meta property=\"og:description\" content=\"The correct option is C. The blocks are of the same material, so their weight is directly proportional to their volume. The heaviest block is the one with the largest volume. We assume the blocks are made up of unit cubes based on the visible grid lines. Block A: Appears to be a $2 times 1 times 1$ block. Volume $V_A = 2 times 1 times 1 = 2$ cubic units. (Composed of 2 unit cubes). Block B: Appears to have a $2 times 2$ base (4 unit cubes) and a $1 times 1$ block (1 unit cube) stacked on top. Total volume $V_B = (2 times 2 times 1) + (1 times 1 times 1) = 4 + 1 = 5$ cubic units. (Composed of 5 unit cubes). Block C: Appears to have an L-shaped base and a height of 2 units. The L-shaped base is a $2 times 2$ square with a $1 times 1$ corner removed, so the area of the base is $2 times 2 - 1 times 1 = 4 - 1 = 3$ square units. The height is 2 units. Total volume $V_C = text{Area of base} times text{Height} = 3 times 2 = 6$ cubic units. (Composed of 6 unit cubes). Comparing the volumes: $V_A = 2$, $V_B = 5$, $V_C = 6$. Block C has the largest volume (6 cubic units) and is therefore the heaviest.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/the-following-blocks-are-of-the-same-material-which-is-the-heaviest-o\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T09:59:10+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":"The following blocks are of the same material. Which is the heaviest o","description":"The correct option is C. The blocks are of the same material, so their weight is directly proportional to their volume. The heaviest block is the one with the largest volume. We assume the blocks are made up of unit cubes based on the visible grid lines. Block A: Appears to be a $2 times 1 times 1$ block. Volume $V_A = 2 times 1 times 1 = 2$ cubic units. (Composed of 2 unit cubes). Block B: Appears to have a $2 times 2$ base (4 unit cubes) and a $1 times 1$ block (1 unit cube) stacked on top. Total volume $V_B = (2 times 2 times 1) + (1 times 1 times 1) = 4 + 1 = 5$ cubic units. (Composed of 5 unit cubes). Block C: Appears to have an L-shaped base and a height of 2 units. The L-shaped base is a $2 times 2$ square with a $1 times 1$ corner removed, so the area of the base is $2 times 2 - 1 times 1 = 4 - 1 = 3$ square units. The height is 2 units. Total volume $V_C = text{Area of base} times text{Height} = 3 times 2 = 6$ cubic units. (Composed of 6 unit cubes). Comparing the volumes: $V_A = 2$, $V_B = 5$, $V_C = 6$. Block C has the largest volume (6 cubic units) and is therefore the heaviest.","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\/the-following-blocks-are-of-the-same-material-which-is-the-heaviest-o\/","og_locale":"en_US","og_type":"article","og_title":"The following blocks are of the same material. Which is the heaviest o","og_description":"The correct option is C. The blocks are of the same material, so their weight is directly proportional to their volume. The heaviest block is the one with the largest volume. We assume the blocks are made up of unit cubes based on the visible grid lines. Block A: Appears to be a $2 times 1 times 1$ block. Volume $V_A = 2 times 1 times 1 = 2$ cubic units. (Composed of 2 unit cubes). Block B: Appears to have a $2 times 2$ base (4 unit cubes) and a $1 times 1$ block (1 unit cube) stacked on top. Total volume $V_B = (2 times 2 times 1) + (1 times 1 times 1) = 4 + 1 = 5$ cubic units. (Composed of 5 unit cubes). Block C: Appears to have an L-shaped base and a height of 2 units. The L-shaped base is a $2 times 2$ square with a $1 times 1$ corner removed, so the area of the base is $2 times 2 - 1 times 1 = 4 - 1 = 3$ square units. The height is 2 units. Total volume $V_C = text{Area of base} times text{Height} = 3 times 2 = 6$ cubic units. (Composed of 6 unit cubes). Comparing the volumes: $V_A = 2$, $V_B = 5$, $V_C = 6$. Block C has the largest volume (6 cubic units) and is therefore the heaviest.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/the-following-blocks-are-of-the-same-material-which-is-the-heaviest-o\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T09:59:10+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\/the-following-blocks-are-of-the-same-material-which-is-the-heaviest-o\/","url":"https:\/\/exam.pscnotes.com\/mcq\/the-following-blocks-are-of-the-same-material-which-is-the-heaviest-o\/","name":"The following blocks are of the same material. Which is the heaviest o","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T09:59:10+00:00","dateModified":"2025-06-01T09:59:10+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The correct option is C. The blocks are of the same material, so their weight is directly proportional to their volume. The heaviest block is the one with the largest volume. We assume the blocks are made up of unit cubes based on the visible grid lines. Block A: Appears to be a $2 \\times 1 \\times 1$ block. Volume $V_A = 2 \\times 1 \\times 1 = 2$ cubic units. (Composed of 2 unit cubes). Block B: Appears to have a $2 \\times 2$ base (4 unit cubes) and a $1 \\times 1$ block (1 unit cube) stacked on top. Total volume $V_B = (2 \\times 2 \\times 1) + (1 \\times 1 \\times 1) = 4 + 1 = 5$ cubic units. (Composed of 5 unit cubes). Block C: Appears to have an L-shaped base and a height of 2 units. The L-shaped base is a $2 \\times 2$ square with a $1 \\times 1$ corner removed, so the area of the base is $2 \\times 2 - 1 \\times 1 = 4 - 1 = 3$ square units. The height is 2 units. Total volume $V_C = \\text{Area of base} \\times \\text{Height} = 3 \\times 2 = 6$ cubic units. (Composed of 6 unit cubes). Comparing the volumes: $V_A = 2$, $V_B = 5$, $V_C = 6$. Block C has the largest volume (6 cubic units) and is therefore the heaviest.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/the-following-blocks-are-of-the-same-material-which-is-the-heaviest-o\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/the-following-blocks-are-of-the-same-material-which-is-the-heaviest-o\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/the-following-blocks-are-of-the-same-material-which-is-the-heaviest-o\/#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":"The following blocks are of the same material. Which is the heaviest o"}]},{"@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\/89215","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=89215"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/89215\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=89215"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=89215"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=89215"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}