Question

A result of a survey of 1000 persons with respect to their knowledge of Hindi (H), English (E) and Sanskrit (S) is given below:

What is the ratio of these who know all the three languages to those who do not know Sanskrit ?

• A. $\frac{1}{9}$
• B. $\frac{1}{10}$
• C. $\frac{10}{17}$
• D. $\frac{5}{27}$

Answer 1

The correct option is D $\frac{5}{27}$

The persons who know all the three languages are represented by the region which is common to all the three circles.
So, the number of such persons $=100.$
The persons who do not know Sanskrit are represented by the region outside circle S.
So, number of such persons $=(200+120+220)=540.$
$\therefore$ Required ratio $=100:540=5:27$