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In a university, 88 students had taken Mathematics courses, 90 students had taken Hindi courses, 64 students had taken Biology courses, 22 students ha
Question

In a university, 88 students had taken Mathematics courses, 90 students had taken Hindi courses, 64 students had taken Biology courses, 22 students had taken Mathematics and Biology, 28 students had taken Mathematics and Hindi, 24 students had taken Hindi and Biology courses, and 10 students had taken all three courses. Find how many students had taken mathematics courses only.

A.

44

B.

48

C.

50

D.

52

Correct option is B

Given
In a university, 88 students had taken Mathematics courses, 90 students had taken Hindi courses, 64 students had taken Biology courses, 22 students had taken Mathematics and Biology, 28 students had taken Mathematics and Hindi, 24 students had taken Hindi and Biology courses, and 10 students had taken all three courses.
From the given information possible Venn diagram will be.
Only M = M − (M ∩ B) − (M ∩ H) + (M ∩ H ∩ B)
Only M = 88 − 22 − 28 + 10
= 48
48 students had taken mathematics courses only.
Thus, correct option is (b).

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