# Section-1: Venn Diagrams Solved QuestionLogical Reasoning Discussion

Common Information

The Venn diagram given below shows the estimated readership of 3 daily newspapers ($X$, $Y$ & $Z$) in a city. The total readership and advertising cost for each of these papers is as below

Table below can be scrolled horizontally

$X$ 8.7 6000
$Y$ 9.1 6500
$Z$ 5.6 5000

The total population of the city is estimated to be 14 million.

The common readership (in lakhs) is indicated in the given Venn diagram.

 Q. Common Information Question: 1/2 The number of people (in lakhs) who read at least one newspaper is:
 ✖ A. 4.7 lakhs ✖ B. 11.9 lakhs ✔ C. 17.4 lakhs ✖ D. 23.4 lakhs

Solution:
Option(C) is correct

Total readership of X is 8.7 lakhs.

X + 2.5 + 0.5 + 1 = 8.7

X = 4.7

Also, total readership of Y is 9.1 lakhs

∴ 2.5 + 0.5 + 1.5 + Y = 9.1

Y = 4.6

Also, total readership of Z is 5.6 lakhs

Z + 1 + 0.5 + 1.5 = 5.6

Z = 2.6

Therefore,we have

∴ Number of people who read at least one paper = 4.7 + 4.6 + 2.6 + 1 + 1.5 + 0.5 + 2.5 = 17.4

Hence, option C is the correct choice.

## (1) Comment(s)

GoldBerg
()

I don't understand, Total population is given as 14 million, How come no. of people in solution comes as 17.4.

Though the solution procedure seems right, can someone explain this concept.