{"id":497179,"date":"2023-04-19T00:43:49","date_gmt":"2023-04-18T19:13:49","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/this-question-is-based-on-the-data-given-below-in-a-class-of-150-students-45-take-history-65-take-geography-and-10-take-both-history-and-geopraphy-how-many-students-take-at-most-one-subject\/"},"modified":"2025-06-19T20:17:28","modified_gmt":"2025-06-19T14:47:28","slug":"this-question-is-based-on-the-data-given-below-in-a-class-of-150-students-45-take-history-65-take-geography-and-10-take-both-history-and-geopraphy-how-many-students-take-at-most-one-subject","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/reasoning\/this-question-is-based-on-the-data-given-below-in-a-class-o\/","title":{"rendered":"This question is based on the data given below. In a class of 150 students, 45 take History, 65 take Geography and 10 take both History and Geopraphy.How many students take at most one subject\u00a0"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"This question is based on the data given below. In a class of 150 students, 45 take History, 65 take Geography and 10 take both History and Geopraphy.How many students take at most one subject\u00a0","custom_permalink":"question\/reasoning\/this-question-is-based-on-the-data-given-below-in-a-class-o\/"},"categories":[],"acf":{"question":"<p><span>This question is based on the data given below. In a class of 150 students, 45 take History, 65 take Geography and 10 take both History and Geopraphy.<\/span><\/p><p><span>How many students take at most one subject&nbsp;<\/span><\/p>","options":[{"option":"<p>10<\/p>","correct":false},{"option":"<p>35<\/p>","correct":false},{"option":"<p>100<\/p>","correct":false},{"option":"<p>140<\/p>","correct":true}],"solution":"<figure class=\"image image-style-align-left\"><img src=\"data:image\/png;base64,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\"><\/figure><p>&nbsp;<\/p><p>&nbsp;<\/p><p>&nbsp;<\/p><p>&nbsp;<\/p><p>&nbsp;<\/p><p><span>Total number of students = 150<\/span><\/p><p><span>Number of students take history = 45<\/span><\/p><p><span>Number of students take Geography = 65<\/span><\/p><p><span>Number of students take both History and Geography = 10<\/span><\/p><p><span>Number of students take history only = 45 \u2013 10 = 35<\/span><\/p><p><span>Number of students take geography only &nbsp;one subject = 65 \u2013 10=55<\/span><\/p><p><span>Number of students take at least one subject&nbsp;<\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>=<\/mo><mn>35<\/mn><mo>+<\/mo><mn>10<\/mn><mo>+<\/mo><mn>55<\/mn><mo>=<\/mo><mn>100<\/mn><\/math><\/p><p><span>Numbers of students do not take any one of the subject&nbsp;<\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>=<\/mo><mn>150<\/mn><mo>\u2212<\/mo><mn>100<\/mn><mo>=<\/mo><mn>50<\/mn><\/math><\/p><p><span>Atmost one subject means&nbsp; = One subject or less than one<\/span><\/p><p><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;= i.e. &nbsp;[Total of students take both subjects]<\/span><\/p><p><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>=<\/mo><mn>150<\/mn><mo>\u2212<\/mo><mn>10<\/mn><mo>=<\/mo><mn>140<\/mn><\/math><\/p>","subject":"Reasoning"},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ 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