AFCAT II 2011 Solved Paper

Let A and B represent the sets of students who passedin English and Mathematics respectively.
If 15% of candidates failed in both, then 85% passed atleast one of the exams.
Then, the total number of students passed in one orboth subjects
= (A ∪B) = n(A) + n(B) = n (A ∩ B)
0.85= 0.75 +0.65 – n(A ∩ B)
n(A ∩ B) = 1.40 – 0.85 = 0.55
0.55% of number of students = 495
∴Number of students =

495

55

×100=900