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Q.

In a class of 30 students, 10 take Mathematics, 15 take Physics, and 10 take neither. The number of students who take both mathematics and physics is

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a

15

b

5

c

3

d

2

answer is B.

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Detailed Solution

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Total number of students n(μ)=30

n(M)=10

n(P)=15

n(M∪P)=30−10=20

Let  n(M∩P)=x

n(M∪P)=n(M)+n(P)−n(M∩P)

20=10+15−x

x=5

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