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Question

There are 600 students in the school. If 400 of them can speak Telugu, and 300 can speak Hindi, then the number of students who can speak both Telugu and Hindi is:


A

100

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B

200

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C

300

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D

400

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Solution

The correct option is A

100


Explanation for the correct answer

Let A=set of students speaks Telugu and B= set of students speak Hindi.

Given: nAB=600

nA=400n(B)=300n(AB)=nA+nB-nAB600=400+300-nABnAB=700-600nAB=100

nAB=100, is the number of students who speak Telugu and Hindi both.

Hence option (A), 100 is the correct answer.


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