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Previous Year Question (PYQs)
In a beauty contest, half the number of experts voted Mr. A and two thirds voted for Mr. B 10 voted for both and 6 did not for either. How may experts were there in all.
Let the total number of experts be N. E is the set of experts who voted for miss A. F is the set of experts who voted for miss B. Since 6 did not vote for either, n(E∪F)=N−6. n(E)=N2,n(F)=23N and n(E∩F)=10 . So, N−6=N2+23N−10 Solving the above equation gives N6=4⇒N=24
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