{"id":92929,"date":"2025-06-01T11:36:59","date_gmt":"2025-06-01T11:36:59","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=92929"},"modified":"2025-06-01T11:36:59","modified_gmt":"2025-06-01T11:36:59","slug":"the-average-marks-of-40-students-in-a-class-is-59-and-after-removing-t","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-average-marks-of-40-students-in-a-class-is-59-and-after-removing-t\/","title":{"rendered":"The average marks of 40 students in a class is 59 and after removing t"},"content":{"rendered":"<p>The average marks of 40 students in a class is 59 and after removing the highest mark, the average of the remaining 39 students is 58. What is the highest mark in the class ?<\/p>\n<p>[amp_mcq option1=&#8221;98&#8243; option2=&#8221;99&#8243; option3=&#8221;97&#8243; option4=&#8221;100&#8243; correct=&#8221;option1&#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 CISF-AC-EXE &#8211; 2021<\/div>\n<\/div>\n<div class=\"pyq-exam-psc-buttons\"><a href=\"\/pyq\/pyq-upsc-cisf-ac-exe-2021.pdf\" target=\"_blank\" class=\"psc-pdf-button\" rel=\"noopener\">Download PDF<\/a><a href=\"\/pyq-upsc-cisf-ac-exe-2021\" target=\"_blank\" class=\"psc-attempt-button\" rel=\"noopener\">Attempt Online<\/a><\/div>\n<\/div>\n<section id=\"pyq-correct-answer\">\nThe highest mark in the class is 98.<br \/>\n<\/section>\n<section id=\"pyq-key-points\">\nThe average of a set of numbers is the sum of the numbers divided by the count of the numbers. We can use the average and count to find the total sum of marks, and then find the difference between the total sums before and after removing the highest mark.<br \/>\n<\/section>\n<section id=\"pyq-additional-information\">\nGiven:<br \/>\nNumber of students initially = 40<br \/>\nAverage marks of 40 students = 59<br \/>\nTotal marks of 40 students = Average $\\times$ Number of students<br \/>\nTotal marks (40 students) = $59 \\times 40$.<br \/>\n$59 \\times 40 = 2360$.<\/p>\n<p>After removing the highest mark:<br \/>\nNumber of remaining students = 39<br \/>\nAverage marks of 39 students = 58<br \/>\nTotal marks of 39 students = Average $\\times$ Number of students<br \/>\nTotal marks (39 students) = $58 \\times 39$.<br \/>\n$58 \\times 39 = 58 \\times (40 &#8211; 1) = 58 \\times 40 &#8211; 58 \\times 1 = 2320 &#8211; 58 = 2262$.<\/p>\n<p>The highest mark is the difference between the total marks of 40 students and the total marks of the remaining 39 students.<br \/>\nHighest mark = Total marks (40 students) &#8211; Total marks (39 students)<br \/>\nHighest mark = $2360 &#8211; 2262$<br \/>\nHighest mark = 98.<br \/>\n<\/section>\n","protected":false},"excerpt":{"rendered":"<p>The average marks of 40 students in a class is 59 and after removing the highest mark, the average of the remaining 39 students is 58. What is the highest mark in the class ? [amp_mcq option1=&#8221;98&#8243; option2=&#8221;99&#8243; option3=&#8221;97&#8243; option4=&#8221;100&#8243; correct=&#8221;option1&#8243;] This question was previously asked in UPSC CISF-AC-EXE &#8211; 2021 Download PDFAttempt Online The &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"The average marks of 40 students in a class is 59 and after removing t\" class=\"read-more button\" href=\"https:\/\/exam.pscnotes.com\/mcq\/the-average-marks-of-40-students-in-a-class-is-59-and-after-removing-t\/#more-92929\">Detailed Solution<span class=\"screen-reader-text\">The average marks of 40 students in a class is 59 and after removing 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":[1089],"tags":[1110,1102],"class_list":["post-92929","post","type-post","status-publish","format-standard","hentry","category-upsc-cisf-ac-exe","tag-1110","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 average marks of 40 students in a class is 59 and after removing t<\/title>\n<meta name=\"description\" content=\"The highest mark in the class is 98. The average of a set of numbers is the sum of the numbers divided by the count of the numbers. We can use the average and count to find the total sum of marks, and then find the difference between the total sums before and after removing the highest mark.\" \/>\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-average-marks-of-40-students-in-a-class-is-59-and-after-removing-t\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The average marks of 40 students in a class is 59 and after removing t\" \/>\n<meta property=\"og:description\" content=\"The highest mark in the class is 98. The average of a set of numbers is the sum of the numbers divided by the count of the numbers. 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The average of a set of numbers is the sum of the numbers divided by the count of the numbers. We can use the average and count to find the total sum of marks, and then find the difference between the total sums before and after removing the highest mark.","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-average-marks-of-40-students-in-a-class-is-59-and-after-removing-t\/","og_locale":"en_US","og_type":"article","og_title":"The average marks of 40 students in a class is 59 and after removing t","og_description":"The highest mark in the class is 98. The average of a set of numbers is the sum of the numbers divided by the count of the numbers. We can use the average and count to find the total sum of marks, and then find the difference between the total sums before and after removing the highest mark.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/the-average-marks-of-40-students-in-a-class-is-59-and-after-removing-t\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T11:36:59+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-average-marks-of-40-students-in-a-class-is-59-and-after-removing-t\/","url":"https:\/\/exam.pscnotes.com\/mcq\/the-average-marks-of-40-students-in-a-class-is-59-and-after-removing-t\/","name":"The average marks of 40 students in a class is 59 and after removing t","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T11:36:59+00:00","dateModified":"2025-06-01T11:36:59+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The highest mark in the class is 98. 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