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In a class, students are assigned roll numbers from 1 to 140. All students with even roll numbers opted for cricket, all those whose roll numbers are divisible by 5 opted for football, and all those…

Question and options

In a class, students are assigned roll numbers from 1 to 140. All students with even roll numbers opted for cricket, all those whose roll numbers are divisible by 5 opted for football, and all those whose roll numbers are divisible by 3 opted for basketball. The number of students who did not opt for any of the three sports is
  1. 102
  2. 38
  3. 98
  4. 42

Answer and explanation

Correct answer: B - 38
Count 1..140 divisible by 2,3 or 5: 70+46+28-23-14-9+4=102. Not opting any sport: 140-102=38.

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  • IPMAT Indore

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