1.

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

Answer» Correct Answer - C
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).


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