{"id":1816,"date":"2024-03-05T15:23:33","date_gmt":"2024-03-05T15:23:33","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=1816"},"modified":"2024-03-05T15:23:33","modified_gmt":"2024-03-05T15:23:33","slug":"in-an-examination-the-ratio-of-passes-to-failures-was-4-if-30-students-less-had-appeared-and-20-less-passed-the-ratio-of-passes-to-failures-would-have-been-5-how-many-students-appeared-for-the-ex","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/in-an-examination-the-ratio-of-passes-to-failures-was-4-if-30-students-less-had-appeared-and-20-less-passed-the-ratio-of-passes-to-failures-would-have-been-5-how-many-students-appeared-for-the-ex\/","title":{"rendered":"In an examination, the ratio of passes to failures was 4 :If 30 students less had appeared and 20 less passed, the ratio of passes to failures would have been 5 : How many students appeared for the examination?"},"content":{"rendered":"

[amp_mcq option1=”150″ option2=”120″ option3=”100″ option4=”None of the above” correct=”option2″]<\/p>\n

The correct answer is (b) 120.<\/p>\n

Let $x$ be the number of students who appeared for the examination. The ratio of passes to failures was 4:1, so there were $4x$ passes and $x$ failures. If 30 students less had appeared and 20 less passed, the ratio of passes to failures would have been 5:1. This means that there would have been $5(x-20)$ passes and $(x-30)$ failures. We know that $5(x-20) = 4x$, so $x = 120$.<\/p>\n

Option (a) is incorrect because 150 is not a factor of 120. Option (c) is incorrect because 100 is not a factor of 120. Option (d) is correct because 120 is a factor of 120.<\/p>\n","protected":false},"excerpt":{"rendered":"

[amp_mcq option1=”150″ option2=”120″ option3=”100″ option4=”None of the above” correct=”option2″]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[33],"tags":[],"class_list":["post-1816","post","type-post","status-publish","format-standard","hentry","category-algebra","no-featured-image-padding"],"yoast_head":"\nIn an examination, the ratio of passes to failures was 4 :If 30 students less had appeared and 20 less passed, the ratio of passes to failures would have been 5 : How many students appeared for the examination?<\/title>\n<meta name=\"description\" content=\"Let $x$ be the number of students who appeared for the examination. The ratio of passes to failures was 4:1, so there were $4x$ passes and $x$ failures. If 30 students less had appeared and 20 less passed, the ratio of passes to failures would have been 5:1. This means that there would have been $5(x-20)$ passes and $(x-30)$ failures. We know that $5(x-20) = 4x$, so $x = 120$.\" \/>\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-an-examination-the-ratio-of-passes-to-failures-was-4-if-30-students-less-had-appeared-and-20-less-passed-the-ratio-of-passes-to-failures-would-have-been-5-how-many-students-appeared-for-the-ex\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"In an examination, the ratio of passes to failures was 4 :If 30 students less had appeared and 20 less passed, the ratio of passes to failures would have been 5 : How many students appeared for the examination?\" \/>\n<meta property=\"og:description\" content=\"Let $x$ be the number of students who appeared for the examination. The ratio of passes to failures was 4:1, so there were $4x$ passes and $x$ failures. If 30 students less had appeared and 20 less passed, the ratio of passes to failures would have been 5:1. This means that there would have been $5(x-20)$ passes and $(x-30)$ failures. We know that $5(x-20) = 4x$, so $x = 120$.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/in-an-examination-the-ratio-of-passes-to-failures-was-4-if-30-students-less-had-appeared-and-20-less-passed-the-ratio-of-passes-to-failures-would-have-been-5-how-many-students-appeared-for-the-ex\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-03-05T15:23:33+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 an examination, the ratio of passes to failures was 4 :If 30 students less had appeared and 20 less passed, the ratio of passes to failures would have been 5 : How many students appeared for the examination?","description":"Let $x$ be the number of students who appeared for the examination. The ratio of passes to failures was 4:1, so there were $4x$ passes and $x$ failures. If 30 students less had appeared and 20 less passed, the ratio of passes to failures would have been 5:1. This means that there would have been $5(x-20)$ passes and $(x-30)$ failures. 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