In a class of 25 students, 18 of them passed in maths, 14 of them passed in Science and 3 of them failed in both the exams. How many students passed in both the exams ?

Options

A. 3
B. 4
C. 10
D. 11

Answer

C

Explanation

Let the number of students who passed in Maths be `n(A)` and that in Science be `n(B)`.
There, `n(A)=18, n(B)=14` and the number of students who passed in either of the exams, `n(A uu B)=25-3=22`.
We have, `n(A uu B)=n(A)+n(B)-n(A nn B)`.
`implies 22=18+14-n(A nn B)`
`implies n(A nn B)=32-22=10`
The number of students who passed in both the exams, `n(A nn B)=10`
Hence, the correct option is (c).