In a class, three-fourth of the boys play football, one-half play cricket, one-fourth of those who play cricket do not play football.
Answer: D
Correct answer: One-eighth of the boys play neither cricket nor football.
Half the boys play cricket, and a quarter of those - that is \( \tfrac{1}{4} \times \tfrac{1}{2} = \tfrac{1}{8} \) of all the boys - do not play football. So the boys who play at least one game number \[ \tfrac{3}{4} + \tfrac{1}{8} = \tfrac{7}{8} \] and the remaining \( \tfrac{1}{8} \) play neither.
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