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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 $3$ months is given below: Only September: $18$; September but not August: $23$; September and July: $8$; September: 28; July: $48$; July and August: $10$; None of the three months: $24$.

What is the number of surveyed people who have read exactly two consecutive issues (out of the three)?

1. $7$
2. $9$
3. $12$
4. $14$

Given that,

• Only September $= 18$
• September but not August $= 23$
• September and July$= 8$
• September $= 28$
• July $= 48$
• July and August $= 10$
• None of the three months $= 24$

Let’s draw the Venn diagram.

DIAGRAM

• $n(U) = 100$
• $n(JUAUS) = n(U) – n(\overline{JUAUS}) = 100-24 =76$

$\therefore$ The number of Surveyed people who have read exactly two consecutive issues (Out of the three) $= J \& A + A\&S = 7+2 = 9$

Correct Answer $: \text{B}$

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