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Question

In a class, 54 students are good in Hindi only, 63 students are good in Mathematics only and 41 students are good in English only. There are 18 students who are good in both Hindi and Mathematics. 10 students are good in all three subjects. What is the number of students who are good in Hindi and Mathematics but not in English?

A
18
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B
12
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C
10
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D
8
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Solution

The correct option is D 8
This is a question of venn diagram

No. of students who are good in either Hindi or Mathematics but not in English

=54+18+63
=125

Let H1M1E1 denote the set of students studying Hindi,

Mathematics and English.
No. of students of English only =41
No. of students of Hindi only =63
No. of students of Maths only =54
n(HME)=10
n(HM)=18

No. of students who study H or M but not E
=63+54+18=125.
No of students who age good in Hindi and Mathematics but not in English =1810
=8.

854276_925633_ans_bed1745315174f0abdf70aa638d2b1a9.png

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