IPMAT Question Paper 2021 | IPM Indore Quantitative Ability

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Question 21 : In a city, 50% of the population can speak in exactly one language among Hindi, English and Tamil, while 40% of the population can speak in at least two of these three languages. Moreover, the number of people who cannot speak in any of these three languages is twice the number of people who can speak in all these three languages. If 52% of the population can speak in Hindi and 25% of the population can speak exactly in one language among English and Tamil, then the percentage of the population who can speak in Hindi and in exactly one more language among English and Tamil is

1. 22%
2. 25%
3. 30%
4. 38%

Video Explanation

Explanatory Answer

It is given that 50% of the population can speak exactly one language among Hindi, English, and Tamil. so , A + B + C = 50%
And also given that 40% of the population can speak in at least two of these three languages
So that, P + Q + R + S = 40%
The percentage of the population who cannot speak in any of these three languages =
100% - (A + B + C +  P + Q + R + S) = 100% - 90% = 10%
 The number of people who cannot speak any of these three languages is twice the number of people who can speak all these three languages.
So that, 2S = 10%
S = 5%
25% of the population can speak exactly one language among English and Tamil
So that B + C = 25%
We know A + B + C = 50%
A = 25%
52% of the population can speak Hindi. Hence A + P + Q + S = 52%
25% + P + Q + 5% = 52%
P + Q = 22%
The percentage of the population who can speak Hindi and in exactly one more language among English and Tamil = P + Q
Therefore the correct answer is 22%

The answer is '22%'

Choice A is the correct answer.