Question

Study the following information carefully to answer the questions.
The teachers colony has 2800 members, out of which 650 members read only English newspaper. 550 members read only Hindi newspaper and 450 members read only Marathi newspaper.

The number of members reading all the 3 newspaper is 100. Members reading Hindi as well as English newspaper are 200. 400 members read Hindi as well as Marathi newspaper and 300 members read English as well as Marathi newspaper.

Find the number of members reading no newspaper.

• A. 150
• B. 460
• C. 550
• D. 750
• E. None of these

Answer 1

The correct option is E None of these

We can get the following venn diagram from the given information

According to the question,
a = 650; f = 550;
g = 450; c = 100;
b + c = 200; c + e = 400
c + d = 300
$\therefore$ b = 100; e = 300 and d = 200

Number of newspaper readers
= a + b + c + d + e + f + g
= 650 + 100 + 100 + 200 + 300 + 550 + 450
= 2350
$\therefore$ Number of members reading no newspaper = 2800 - 2350
= 450