{"id":90150,"date":"2025-06-01T10:21:49","date_gmt":"2025-06-01T10:21:49","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=90150"},"modified":"2025-06-01T10:21:49","modified_gmt":"2025-06-01T10:21:49","slug":"a-b-c-d-e-and-f-compared-their-marks-in-an-examination-and-found-t","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-b-c-d-e-and-f-compared-their-marks-in-an-examination-and-found-t\/","title":{"rendered":"A, B, C, D, E and F compared their marks in an examination and found t"},"content":{"rendered":"<p>A, B, C, D, E and F compared their marks in an examination and found that A obtained the highest marks, B obtained more marks than D, C obtained more than at least two others and E had not obtained the lowest marks.<br \/>\nConsider the following statements :<\/p>\n<ul>\n<li>Statement 1 : At least two members obtained less marks than C<\/li>\n<li>Statement 2 : E and F obtained the same marks<\/li>\n<\/ul>\n<p>Which of the above statement(s) is\/are sufficient to identify the one with the lowest marks ?<\/p>\n<p>[amp_mcq option1=&#8221;Both 1 and 2&#8243; option2=&#8221;Neither 1 nor 2&#8243; option3=&#8221;1 only&#8221; option4=&#8221;2 only&#8221; correct=&#8221;option4&#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; 2017<\/div>\n<\/div>\n<div class=\"pyq-exam-psc-buttons\"><a href=\"\/pyq\/pyq-upsc-capf-2017.pdf\" target=\"_blank\" class=\"psc-pdf-button\" rel=\"noopener\">Download PDF<\/a><a href=\"\/pyq-upsc-capf-2017\" target=\"_blank\" class=\"psc-attempt-button\" rel=\"noopener\">Attempt Online<\/a><\/div>\n<\/div>\n<section id=\"pyq-correct-answer\">\nStatement 2 alone is sufficient to identify the one with the lowest marks.<br \/>\n<\/section>\n<section id=\"pyq-key-points\">\nLet the people be ranked from 1 (highest) to 6 (lowest). We are given:<br \/>\n1. A is 1st.<br \/>\n2. B > D.<br \/>\n3. C > at least two others (C is among ranks 2, 3, 4).<br \/>\n4. E is not 6th (E is among ranks 1, 2, 3, 4, 5). Since A is 1st, E is among 2, 3, 4, 5.<br \/>\nFrom these facts, the person with the lowest marks (rank 6) can be B, D, or F.<\/p>\n<p>Statement 1: At least two members obtained less marks than C. This is already stated in the problem (C > at least two others). This provides no new information to distinguish between D and F as the lowest. So, Statement 1 alone is insufficient.<\/p>\n<p>Statement 2: E and F obtained the same marks. Also, E is not 6th (from initial facts). If E and F are tied and E is not the lowest, then F also cannot be the lowest. Since the lowest person must be from {B, D, F} (after eliminating A, C, E as candidates for lowest), and F is eliminated by Statement 2, the lowest person must be from {B, D}. Given B > D, D must have the lowest marks among B and D. Therefore, D has the lowest marks. Statement 2 alone is sufficient.<br \/>\n<\/section>\n<section id=\"pyq-additional-information\">\nThe ranking from highest to lowest would be A > C > &#8230; > &#8230; > &#8230; > D if Statement 2 is true. For example, a possible ranking could be A > C > B > E=F > D, or A > B > C > E=F > D, or A > B > E=F > C > D, etc., as long as A is first, C is in the top 4, E=F are not last, and B>D, with D being the last.<br \/>\n<\/section>\n","protected":false},"excerpt":{"rendered":"<p>A, B, C, D, E and F compared their marks in an examination and found that A obtained the highest marks, B obtained more marks than D, C obtained more than at least two others and E had not obtained the lowest marks. Consider the following statements : Statement 1 : At least two members &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"A, B, C, D, E and F compared their marks in an examination and found t\" class=\"read-more button\" href=\"https:\/\/exam.pscnotes.com\/mcq\/a-b-c-d-e-and-f-compared-their-marks-in-an-examination-and-found-t\/#more-90150\">Detailed Solution<span class=\"screen-reader-text\">A, B, C, D, E and F compared their marks in an examination and found t<\/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":[1101,1102],"class_list":["post-90150","post","type-post","status-publish","format-standard","hentry","category-upsc-capf","tag-1101","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>A, B, C, D, E and F compared their marks in an examination and found t<\/title>\n<meta name=\"description\" content=\"Statement 2 alone is sufficient to identify the one with the lowest marks. Let the people be ranked from 1 (highest) to 6 (lowest). We are given: 1. A is 1st. 2. B &gt; D. 3. C &gt; at least two others (C is among ranks 2, 3, 4). 4. E is not 6th (E is among ranks 1, 2, 3, 4, 5). Since A is 1st, E is among 2, 3, 4, 5. From these facts, the person with the lowest marks (rank 6) can be B, D, or F. Statement 1: At least two members obtained less marks than C. This is already stated in the problem (C &gt; at least two others). This provides no new information to distinguish between D and F as the lowest. So, Statement 1 alone is insufficient. Statement 2: E and F obtained the same marks. Also, E is not 6th (from initial facts). If E and F are tied and E is not the lowest, then F also cannot be the lowest. Since the lowest person must be from {B, D, F} (after eliminating A, C, E as candidates for lowest), and F is eliminated by Statement 2, the lowest person must be from {B, D}. Given B &gt; D, D must have the lowest marks among B and D. Therefore, D has the lowest marks. Statement 2 alone is sufficient.\" \/>\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\/a-b-c-d-e-and-f-compared-their-marks-in-an-examination-and-found-t\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A, B, C, D, E and F compared their marks in an examination and found t\" \/>\n<meta property=\"og:description\" content=\"Statement 2 alone is sufficient to identify the one with the lowest marks. Let the people be ranked from 1 (highest) to 6 (lowest). We are given: 1. A is 1st. 2. B &gt; D. 3. C &gt; at least two others (C is among ranks 2, 3, 4). 4. E is not 6th (E is among ranks 1, 2, 3, 4, 5). Since A is 1st, E is among 2, 3, 4, 5. From these facts, the person with the lowest marks (rank 6) can be B, D, or F. Statement 1: At least two members obtained less marks than C. This is already stated in the problem (C &gt; at least two others). This provides no new information to distinguish between D and F as the lowest. So, Statement 1 alone is insufficient. Statement 2: E and F obtained the same marks. Also, E is not 6th (from initial facts). If E and F are tied and E is not the lowest, then F also cannot be the lowest. Since the lowest person must be from {B, D, F} (after eliminating A, C, E as candidates for lowest), and F is eliminated by Statement 2, the lowest person must be from {B, D}. Given B &gt; D, D must have the lowest marks among B and D. Therefore, D has the lowest marks. Statement 2 alone is sufficient.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/a-b-c-d-e-and-f-compared-their-marks-in-an-examination-and-found-t\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T10:21:49+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=\"2 minutes\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"A, B, C, D, E and F compared their marks in an examination and found t","description":"Statement 2 alone is sufficient to identify the one with the lowest marks. Let the people be ranked from 1 (highest) to 6 (lowest). We are given: 1. A is 1st. 2. B > D. 3. C > at least two others (C is among ranks 2, 3, 4). 4. E is not 6th (E is among ranks 1, 2, 3, 4, 5). Since A is 1st, E is among 2, 3, 4, 5. From these facts, the person with the lowest marks (rank 6) can be B, D, or F. Statement 1: At least two members obtained less marks than C. This is already stated in the problem (C > at least two others). This provides no new information to distinguish between D and F as the lowest. So, Statement 1 alone is insufficient. Statement 2: E and F obtained the same marks. Also, E is not 6th (from initial facts). If E and F are tied and E is not the lowest, then F also cannot be the lowest. Since the lowest person must be from {B, D, F} (after eliminating A, C, E as candidates for lowest), and F is eliminated by Statement 2, the lowest person must be from {B, D}. Given B > D, D must have the lowest marks among B and D. Therefore, D has the lowest marks. Statement 2 alone is sufficient.","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\/a-b-c-d-e-and-f-compared-their-marks-in-an-examination-and-found-t\/","og_locale":"en_US","og_type":"article","og_title":"A, B, C, D, E and F compared their marks in an examination and found t","og_description":"Statement 2 alone is sufficient to identify the one with the lowest marks. Let the people be ranked from 1 (highest) to 6 (lowest). We are given: 1. A is 1st. 2. B > D. 3. C > at least two others (C is among ranks 2, 3, 4). 4. E is not 6th (E is among ranks 1, 2, 3, 4, 5). Since A is 1st, E is among 2, 3, 4, 5. From these facts, the person with the lowest marks (rank 6) can be B, D, or F. Statement 1: At least two members obtained less marks than C. This is already stated in the problem (C > at least two others). This provides no new information to distinguish between D and F as the lowest. So, Statement 1 alone is insufficient. Statement 2: E and F obtained the same marks. Also, E is not 6th (from initial facts). If E and F are tied and E is not the lowest, then F also cannot be the lowest. Since the lowest person must be from {B, D, F} (after eliminating A, C, E as candidates for lowest), and F is eliminated by Statement 2, the lowest person must be from {B, D}. Given B > D, D must have the lowest marks among B and D. Therefore, D has the lowest marks. Statement 2 alone is sufficient.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/a-b-c-d-e-and-f-compared-their-marks-in-an-examination-and-found-t\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T10:21:49+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"2 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/a-b-c-d-e-and-f-compared-their-marks-in-an-examination-and-found-t\/","url":"https:\/\/exam.pscnotes.com\/mcq\/a-b-c-d-e-and-f-compared-their-marks-in-an-examination-and-found-t\/","name":"A, B, C, D, E and F compared their marks in an examination and found t","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T10:21:49+00:00","dateModified":"2025-06-01T10:21:49+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"Statement 2 alone is sufficient to identify the one with the lowest marks. Let the people be ranked from 1 (highest) to 6 (lowest). We are given: 1. A is 1st. 2. B > D. 3. C > at least two others (C is among ranks 2, 3, 4). 4. E is not 6th (E is among ranks 1, 2, 3, 4, 5). Since A is 1st, E is among 2, 3, 4, 5. From these facts, the person with the lowest marks (rank 6) can be B, D, or F. Statement 1: At least two members obtained less marks than C. This is already stated in the problem (C > at least two others). This provides no new information to distinguish between D and F as the lowest. So, Statement 1 alone is insufficient. Statement 2: E and F obtained the same marks. Also, E is not 6th (from initial facts). If E and F are tied and E is not the lowest, then F also cannot be the lowest. Since the lowest person must be from {B, D, F} (after eliminating A, C, E as candidates for lowest), and F is eliminated by Statement 2, the lowest person must be from {B, D}. Given B > D, D must have the lowest marks among B and D. Therefore, D has the lowest marks. Statement 2 alone is sufficient.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/a-b-c-d-e-and-f-compared-their-marks-in-an-examination-and-found-t\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/a-b-c-d-e-and-f-compared-their-marks-in-an-examination-and-found-t\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/a-b-c-d-e-and-f-compared-their-marks-in-an-examination-and-found-t\/#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":"A, B, C, D, E and F compared their marks in an examination and found t"}]},{"@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\/90150","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=90150"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/90150\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=90150"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=90150"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=90150"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}