Question

In an interview for a BPO, 400 candidates appeared. Out of which 200 were Post Graduates, 180 have prior experience and 160 can speak English . 100 of them were Post Graduates with Prior Experience 70 have Prior Experience and can speak English, 80 are Post Graduates and can speak English and 60 are Post Graduates with Prior Experience and can speak English. How many candidates had none of the three

Answer 1

# Answer = 50.

# Explanation-

Consider the events,

Event (A)= Post graduate candidates

Event (B)= Experienced candidates

Event (C)= English candidates

Now given,

n(A)=200

n(B)=180

n(C)=160

n(A+B)=100

n(B+C)=70

n(A+C)=80

n(A+B+C)=60

Candidates having none of the qualities =n(U)-n(A)-n(B)-n(C)+n(A+B)+n(B+C)+n(A+C)-n(A+B+C)

=400-200-180-160+100+70+80-60

=50

Candidates having none of the qualities are 50.