{"id":89230,"date":"2025-06-01T09:59:26","date_gmt":"2025-06-01T09:59:26","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=89230"},"modified":"2025-06-01T09:59:26","modified_gmt":"2025-06-01T09:59:26","slug":"in-a-test-a-candidate-attempted-only-15-questions-and-secured-full-mar","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/in-a-test-a-candidate-attempted-only-15-questions-and-secured-full-mar\/","title":{"rendered":"In a test a candidate attempted only 15 questions and secured full mar"},"content":{"rendered":"<p>In a test a candidate attempted only 15 questions and secured full marks in all of them. If he obtained 60% marks in the test and all the questions in the test carried equal marks, the number of questions in the test is :<\/p>\n<p>[amp_mcq option1=&#8221;20&#8243; option2=&#8221;25&#8243; option3=&#8221;27&#8243; option4=&#8221;30&#8243; correct=&#8221;option2&#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\">\nLet the total number of questions in the test be Q and the marks for each question be M.<br \/>\nThe total maximum marks for the test is Q * M.<br \/>\nThe candidate attempted 15 questions and secured full marks in all of them, so the marks obtained by the candidate are 15 * M.<br \/>\nThe candidate obtained 60% marks in the test.<br \/>\nMarks obtained = 60% of Total marks<br \/>\n15M = 0.60 * (QM)<br \/>\n15M = 0.6QM<br \/>\nSince M is the marks per question and must be greater than 0 (as the candidate secured full marks), we can divide both sides by M:<br \/>\n15 = 0.6Q<br \/>\nQ = 15 \/ 0.6<br \/>\nQ = 15 \/ (6\/10)<br \/>\nQ = 15 * (10\/6)<br \/>\nQ = 150 \/ 6<br \/>\nQ = 25<\/p>\n<p>The total number of questions in the test is 25.<br \/>\n<\/section>\n<section id=\"pyq-key-points\">\nThis is a percentage problem involving test marks. The key is to set up an equation relating the marks obtained to the total possible marks using the given percentage. Assuming equal marks for all questions simplifies the calculation.<br \/>\n<\/section>\n<section id=\"pyq-additional-information\">\nLet&#8217;s verify the result. If there are 25 questions with equal marks (say 1 mark each), total marks = 25. Candidate attempted 15 questions and got full marks, so obtained 15 marks. 15 is 60% of 25 because (15\/25) * 100 = (3\/5) * 100 = 60%. The calculation is consistent.<br \/>\n<\/section>\n","protected":false},"excerpt":{"rendered":"<p>In a test a candidate attempted only 15 questions and secured full marks in all of them. If he obtained 60% marks in the test and all the questions in the test carried equal marks, the number of questions in the test is : [amp_mcq option1=&#8221;20&#8243; option2=&#8221;25&#8243; option3=&#8221;27&#8243; option4=&#8221;30&#8243; correct=&#8221;option2&#8243;] This question was previously asked &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"In a test a candidate attempted only 15 questions and secured full mar\" class=\"read-more button\" href=\"https:\/\/exam.pscnotes.com\/mcq\/in-a-test-a-candidate-attempted-only-15-questions-and-secured-full-mar\/#more-89230\">Detailed Solution<span class=\"screen-reader-text\">In a test a candidate attempted only 15 questions and secured full mar<\/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-89230","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>In a test a candidate attempted only 15 questions and secured full mar<\/title>\n<meta name=\"description\" content=\"Let the total number of questions in the test be Q and the marks for each question be M. The total maximum marks for the test is Q * M. The candidate attempted 15 questions and secured full marks in all of them, so the marks obtained by the candidate are 15 * M. The candidate obtained 60% marks in the test. Marks obtained = 60% of Total marks 15M = 0.60 * (QM) 15M = 0.6QM Since M is the marks per question and must be greater than 0 (as the candidate secured full marks), we can divide both sides by M: 15 = 0.6Q Q = 15 \/ 0.6 Q = 15 \/ (6\/10) Q = 15 * (10\/6) Q = 150 \/ 6 Q = 25 The total number of questions in the test is 25. This is a percentage problem involving test marks. The key is to set up an equation relating the marks obtained to the total possible marks using the given percentage. Assuming equal marks for all questions simplifies the calculation.\" \/>\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\/in-a-test-a-candidate-attempted-only-15-questions-and-secured-full-mar\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"In a test a candidate attempted only 15 questions and secured full mar\" \/>\n<meta property=\"og:description\" content=\"Let the total number of questions in the test be Q and the marks for each question be M. The total maximum marks for the test is Q * M. The candidate attempted 15 questions and secured full marks in all of them, so the marks obtained by the candidate are 15 * M. The candidate obtained 60% marks in the test. Marks obtained = 60% of Total marks 15M = 0.60 * (QM) 15M = 0.6QM Since M is the marks per question and must be greater than 0 (as the candidate secured full marks), we can divide both sides by M: 15 = 0.6Q Q = 15 \/ 0.6 Q = 15 \/ (6\/10) Q = 15 * (10\/6) Q = 150 \/ 6 Q = 25 The total number of questions in the test is 25. This is a percentage problem involving test marks. The key is to set up an equation relating the marks obtained to the total possible marks using the given percentage. Assuming equal marks for all questions simplifies the calculation.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/in-a-test-a-candidate-attempted-only-15-questions-and-secured-full-mar\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T09:59:26+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":"In a test a candidate attempted only 15 questions and secured full mar","description":"Let the total number of questions in the test be Q and the marks for each question be M. The total maximum marks for the test is Q * M. The candidate attempted 15 questions and secured full marks in all of them, so the marks obtained by the candidate are 15 * M. The candidate obtained 60% marks in the test. Marks obtained = 60% of Total marks 15M = 0.60 * (QM) 15M = 0.6QM Since M is the marks per question and must be greater than 0 (as the candidate secured full marks), we can divide both sides by M: 15 = 0.6Q Q = 15 \/ 0.6 Q = 15 \/ (6\/10) Q = 15 * (10\/6) Q = 150 \/ 6 Q = 25 The total number of questions in the test is 25. This is a percentage problem involving test marks. The key is to set up an equation relating the marks obtained to the total possible marks using the given percentage. Assuming equal marks for all questions simplifies the calculation.","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\/in-a-test-a-candidate-attempted-only-15-questions-and-secured-full-mar\/","og_locale":"en_US","og_type":"article","og_title":"In a test a candidate attempted only 15 questions and secured full mar","og_description":"Let the total number of questions in the test be Q and the marks for each question be M. The total maximum marks for the test is Q * M. The candidate attempted 15 questions and secured full marks in all of them, so the marks obtained by the candidate are 15 * M. The candidate obtained 60% marks in the test. Marks obtained = 60% of Total marks 15M = 0.60 * (QM) 15M = 0.6QM Since M is the marks per question and must be greater than 0 (as the candidate secured full marks), we can divide both sides by M: 15 = 0.6Q Q = 15 \/ 0.6 Q = 15 \/ (6\/10) Q = 15 * (10\/6) Q = 150 \/ 6 Q = 25 The total number of questions in the test is 25. This is a percentage problem involving test marks. The key is to set up an equation relating the marks obtained to the total possible marks using the given percentage. Assuming equal marks for all questions simplifies the calculation.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/in-a-test-a-candidate-attempted-only-15-questions-and-secured-full-mar\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T09:59:26+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\/in-a-test-a-candidate-attempted-only-15-questions-and-secured-full-mar\/","url":"https:\/\/exam.pscnotes.com\/mcq\/in-a-test-a-candidate-attempted-only-15-questions-and-secured-full-mar\/","name":"In a test a candidate attempted only 15 questions and secured full mar","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T09:59:26+00:00","dateModified":"2025-06-01T09:59:26+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"Let the total number of questions in the test be Q and the marks for each question be M. The total maximum marks for the test is Q * M. The candidate attempted 15 questions and secured full marks in all of them, so the marks obtained by the candidate are 15 * M. The candidate obtained 60% marks in the test. Marks obtained = 60% of Total marks 15M = 0.60 * (QM) 15M = 0.6QM Since M is the marks per question and must be greater than 0 (as the candidate secured full marks), we can divide both sides by M: 15 = 0.6Q Q = 15 \/ 0.6 Q = 15 \/ (6\/10) Q = 15 * (10\/6) Q = 150 \/ 6 Q = 25 The total number of questions in the test is 25. This is a percentage problem involving test marks. The key is to set up an equation relating the marks obtained to the total possible marks using the given percentage. Assuming equal marks for all questions simplifies the calculation.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/in-a-test-a-candidate-attempted-only-15-questions-and-secured-full-mar\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/in-a-test-a-candidate-attempted-only-15-questions-and-secured-full-mar\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/in-a-test-a-candidate-attempted-only-15-questions-and-secured-full-mar\/#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":"In a test a candidate attempted only 15 questions and secured full mar"}]},{"@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\/89230","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=89230"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/89230\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=89230"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=89230"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=89230"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}