1
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Question

# In a class of 40 students, 25 students like mathematics and 20 students like science. All of them like at least one subject. How many students like both mathematics and science?

A
10
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B
5
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C
15
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D
7
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Solution

## The correct option is B 5Let x be the number of students who like both subjects. ⇒ Number of students who like mathematics only =25−x And, Number of students who like science only =20−x ⇒Total number of students = Number of students who like mathematics only + Number of students who like science only + Number of students who like both subjects. ⇒Total number of students = (25−x)+(20−x)+x ⇒Total number of students =45−x And, It is given that total number of students in the class is 40. ⇒45−x=40⇒x=45−40=5 So, 5 students like both subjects. Hence, option a is correct.

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