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A survey was conducted in a group of 100 students of a school. The ratio of students who like mathematics and computer is 3:5. If 30 of them like both subjects and 10 of them like none of them, construct a Venn-diagram to find thei) no of student who like atmost one subject |
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Answer» Given : a survey was conducted in a group of 100 students of a school. the RATIO of students who like mathematics and computer is 3:5. if 30 of them like both subjects and 10 of them like none of them, To Find : number of students who like: at most ONE subject. Solution: Mathematics = 3k Computer = 5k 30 of them like both subjects 10 of them like none of them Total = Math + Computer - Both + None 100 = 3k + 5k - 30 + 10 => 120 = 8k => k = 15 Mathematics = 45 Computer = 75 Mathematics only = Mathematics - Both = 45 - 30 = 15 Computer only = Computer - Both =75 - 30 = 45 at most one subject = 100 - Both subjects 100 - 30 = 70 or none + computer only + Mathematics only = 10 + 45 + 15 = 70 70 Students like atmost one subject Learn More: 125, 100 and 145 students APPEARED at post graduate EXAMINATION ... in a survey of 290 newspaper readers, 181 of them read the Daily ... |
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