Discussion

Explanation:

Let the number of people who speak

Exactly 3 languages = a
Exactly 2 languages = b
Exactly 1 language = c
No language = d

⇒ a + b + c + d = 100   ...(1)

Given, c = 50 and a + b = 40   ...(2)

From (1) and (2) we get, d = 10   ...(3)

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
⇒ d = 2a​​​​​​​
∴ a = 5 [d = 10 from (3)]

Now, 52% of the population can speak in Hindi and 25% of the population can speak exactly in one language among English and Tamil. We can make the following Venn Diagram with the information so far.

​​​​​​​

Total orange region = 25

Now, Number of people speaking exactly one language (c) = 50 = (Only Hindi speaking people) + (Only English speaking people) + (Only Tamil speaking people)
⇒ 50 = (Only Hindi speaking people) + 25
⇒ Only Hindi speaking people = 25​​​​​​​

Also, Total Hindi speaking people = Only Hindi + (Hindi and exactly one other language) + (All three languages)
⇒ 52 = 25 + (Hindi and exactly one other language) + 5
⇒ Hindi and exactly one other language = 22

Hence, option (a).

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