Venn Diagrams
Logical Reasoning

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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

Newspapers Readership (lakhs) Advertising cost(Rs. per sq. cm)
$X$ 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.

Common information image for Venn Diagrams, Logical Reasoning:2314-1

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

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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

Answer image for Venn Diagrams, Logical Reasoning:2314-1

∴ 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.