WBJEE 2014 Maths Solved Paper

n(S ∪ P ∪ D) = 265
n(S) = 200
n(D) = 110
n(P) = 55
n(S ∩ D) = 60
n(S ∩ P) = 30
n(S ∩ D ∩ P) = 10
n(S ∪ P ∪ D) = n(S) + n(D) + n(P) – n(S ∩ D) – n(D ∩ P) – n(P ∩ S) + n(S ∩ D ∩ P)
265 = 200 + 110 + 55 – 60 – 30 – n(P ∩ D) + 10
n(P ∩ D) = 285 – 265 = 20
n(P ∩ D) – n(P ∩ D ∩ S) = 20 – 10 = 10