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Question 21 : 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
C ∪ F ∪ B = C + F + B - (C ∩ F) - (F ∩ B) - (C ∩ B) + (C ∩ F ∩ B)
= 70 + 28 + 46 - 14 - 9 - 23 + 4
'The number of students who did not opt for any of the three sports' = 140 - (C ∪ F ∪ B)
= 140 - 102
Choice B is the correct answer.
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