Question

The Venn diagram given below shows the estimated readership (in lakhs) of 3 leading newspaper dailies (ABC, DEF, and GHI) in the city M&M, which has an estimated population of 8.9 million. It is also known that the total readership of ABC is 9.7 lakhs, DEF is 9.1 lakhs, and that of GHI is 8.9 lakhs.


What percent of the total population of M&M reads at least one of these three newspapers?

• A. 29.77%
• B. 31.12%
• C. 8.20%
• D. 21.57%

Answer 1

The correct option is D 21.57%

Total readership of ABC = x+3+1.2+0.8 = 9.7 lakh
=> x = 4.7 lakh
Total readership of DEF = y+3+1.2+2.3 = 9.1 lakh
=> y = 2.6 lakh
Total readership of GHI = z+1.2+2.3+0.8 = 8.9 lakh
=> z = 4.6 lakh
Therefore, number of people reading at least 1 = 4.7+2.6+4.6+3+1.2+0.8+2.3 = 19.2 lakh

As a % of total population $=\frac{19.2}{89}*100=21.57\%$