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Q.

In a class of 100 students, 55 students have passed in Mathematics and 67 students have passed in Physics. Then the number of students who have passed in Physics only is

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a

22

b

33

c

10

d

45

answer is D.

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Detailed Solution

n(M)=55, n(P)=67, n(M∪P)=100

Now, n(M∪P)=n(M)+n(P)-n(M∩P)

100=55+67-n(M∩P)

∴n(M∩P)=122-100=22

Now n[P only]=n(P)-n(M∩P)=67-22=45.

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