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Question

If out of 150 students who read at least one newspaper The Times of India, The Hindustan Times and The Hindu. There are 65 who read The Times of India, 41 who read The Hindu and 50 who read The Hindustan Times. What is the maximum possible number of students who read all the three newspaper?

A
7
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B
42
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C
3
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D
Cannot be determined
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Solution

The correct option is C 3
From venn diagram

a+b+c=150

a+2b+3c=156

Hence b+2c=6

To maximise c we take minimum value of b that is 0.

Hence c=3

885496_299589_ans_2fdfa936dac74a459dbf6d00aa1fdf04.jpg

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