A statement group of statements is given followed by some conclusions. Without resolving anything yourself, choose the conclusion which logically follows from the given statement.
Statement: 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.
Conclusions:
(a) Two-third of the boys play only football.
(b) One-fourth of the boys play neither cricket nor football.
(c) One-third of the boys play neither cricket nor football.
(d) One eighth of the boys play neither cricket nor football.
(e) Two fifth of the boys play only football.