CAT 2015 | Question: 98

Question

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)?

• A. $7$
• B. $9$
• C. $12$
• D. $14$

Answer 1

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 $: \text{B}$