Q3. In a group of 400 people, 250 can speak Hindi and 200 can speak English. How many people can speak both Hindi and English?
Hindi speaking = 250 = n(A)
English speakind = 200 = n(B)
Group of people = 400 = n(A B)
People speaking both Hindi and English = n(A B)
n(A B) = n(A) + n(B) - n(A B)
n(A B) = 250 + 200 - 400
n(A B) = 450 - 400
n(A B) = 50
Thus,50 people speak hindi and english both.