{"id":49,"date":"2024-03-05T14:51:25","date_gmt":"2024-03-05T14:51:25","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=49"},"modified":"2024-03-05T14:51:25","modified_gmt":"2024-03-05T14:51:25","slug":"in-a-class-of-100-students-35-students-failed-in-mathematics-and-25-students-failed-in-english-if-15-students-failed-in-mathematics-and-english-both-what-is-the-number-of-students-who-passed-in-bo","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/in-a-class-of-100-students-35-students-failed-in-mathematics-and-25-students-failed-in-english-if-15-students-failed-in-mathematics-and-english-both-what-is-the-number-of-students-who-passed-in-bo\/","title":{"rendered":"In a class of 100 students, 35 students failed in Mathematics and 25 students failed in English. If 15 students failed in Mathematics and English both, what is the number of students, who passed in both the subjects?"},"content":{"rendered":"

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<\/a>href<\/a>=”<\/a>https<\/a>:\/\/<\/a>exam<\/a>.<\/a>pscnotes<\/a>.<\/a>com<\/a>\/<\/a>7355<\/a>–<\/a>2<\/a>“><\/<\/a>a<\/a>><\/a>but<\/a><<\/a>a<\/a> <\/a>href<\/a>=”<\/a>https<\/a>:\/\/<\/a>exam<\/a>.<\/a>pscnotes<\/a>.<\/a>com<\/a>\/<\/a>7355<\/a>–<\/a>2<\/a>“><\/<\/a>a<\/a>> <<\/a>a<\/a> <\/a>href<\/a>=”<\/a>https<\/a>:\/\/<\/a>exam<\/a>.<\/a>pscnotes<\/a>.<\/a>com<\/a>\/<\/a>7355<\/a>–<\/a>2<\/a>“><\/<\/a>a<\/a>><\/a>not<\/a><<\/a>a<\/a> <\/a>href<\/a>=”<\/a>https<\/a>:\/\/<\/a>exam<\/a>.<\/a>pscnotes<\/a>.<\/a>com<\/a>\/<\/a>7355<\/a>–<\/a>2<\/a>“><\/<\/a>a<\/a>> <<\/a>a<\/a> <\/a>href<\/a>=”<\/a>https<\/a>:\/\/<\/a>exam<\/a>.<\/a>pscnotes<\/a>.<\/a>com<\/a>\/<\/a>7355<\/a>–<\/a>2<\/a>“><\/<\/a>a<\/a>><\/a>English<\/a><<\/a>a<\/a> <\/a>href<\/a>=”<\/a>https<\/a>:\/\/<\/a>exam<\/a>.<\/a>pscnotes<\/a>.<\/a>com<\/a>\/<\/a>7355<\/a>–<\/a>2<\/a>“><\/<\/a>a<\/a>>. <<\/a>a<\/a> 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[amp_mcq option1=”40” option2=”45” option3=”55” option4=”60” correct=”option3”]The correct answer is (C) 55. Let $M$ be the set of students who passed Mathematics and $E$ be the set of students who passed English. We are given that $|M|=35$, $|E|=25$, and $|M\\cap E|=15$. We want to find $|M\\cup E|$. We know that $|M\\cup E|=|M|+|E|-|M\\cap E|$. Substituting in the … <\/p>\n

Detailed SolutionIn a class of 100 students, 35 students failed in Mathematics and 25 students failed in English. If 15 students failed in Mathematics and English both, what is the number of students, who passed in both the subjects?<\/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":[129],"tags":[],"class_list":["post-49","post","type-post","status-publish","format-standard","hentry","category-set-theory","no-featured-image-padding"],"yoast_head":"\nIn a class of 100 students, 35 students failed in Mathematics and 25 students failed in English. If 15 students failed in Mathematics and English both, what is the number of students, who passed in both the subjects?<\/title>\n<meta name=\"description\" content=\"Let $M$ be the set of students who passed Mathematics and $E$ be the set of students who passed English. We are given that $|M|=35$, $|E|=25$, and $|Mcap E|=15$. We want to find $|Mcup E|$.\" \/>\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-class-of-100-students-35-students-failed-in-mathematics-and-25-students-failed-in-english-if-15-students-failed-in-mathematics-and-english-both-what-is-the-number-of-students-who-passed-in-bo\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"In a class of 100 students, 35 students failed in Mathematics and 25 students failed in English. If 15 students failed in Mathematics and English both, what is the number of students, who passed in both the subjects?\" \/>\n<meta property=\"og:description\" content=\"Let $M$ be the set of students who passed Mathematics and $E$ be the set of students who passed English. We are given that $|M|=35$, $|E|=25$, and $|Mcap E|=15$. We want to find $|Mcup E|$.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/in-a-class-of-100-students-35-students-failed-in-mathematics-and-25-students-failed-in-english-if-15-students-failed-in-mathematics-and-english-both-what-is-the-number-of-students-who-passed-in-bo\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-03-05T14:51:25+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 class of 100 students, 35 students failed in Mathematics and 25 students failed in English. 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