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Question

A survey was conducted of 100 people to find out whether they had read recent issues of Golmal, a monthly magazine. The summarized information regarding readership in 3 mpnths is given below:
Only September : 18; September but not August : 23;
July : 48; July and August : 10;
September and July : 8;
September : 28;
None of the three months : 24.
What is the number of surveyed people who have read exactly two consecutive issues (out of the three)?

A
7
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B
9
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C
12
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D
14
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Solution

The correct option is B 9
Putting the given information in the form of a Venn diagram, we get

n(JAS)=10024=76n(SJ)=8; n(only S)=18
n(S but not A) = 23 = 18n(only S)+n(S)n(SA)5
n(SAJ)=n(SJ)5=85=3)
To find the people who have read exactly 2 consecutive issues (out of 3) we shall find the people reading J & A and A & S.
Hence required no. = 7 - 2 = 9

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