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Question

Mathematics Question on Elementary Mathematics

In a class of 50 students, 23 speak English, 15 speak Hindi and 18 speak Punjabi. 3 speak only English and Hindi, 6 speak only Hindi and Punjabi and 6 speak only English and Punjabi. If 9 can speak only English, then how many students speak all the three languages?

A

1

B

2

C

3

D

5

Answer

5

Explanation

Solution


The total students who speak English are = 23
According to the venn diagram =9+3+6+x=239 +3+6+x=23
x=2318=5x =23−18=5
Therefore, 5 students speak all the three languages.
The correct answer is (D) : 5