UPSC Prelims 2014·CSAT·Quantitative Aptitude·Combinatorics and Probability

There are 50 students admitted to a nursery class. Some students can speak only English and some can speak only Hindi. 10 student can speak both English and Hindi. If the number of students who can speak English 21, then how many students can speak Hindi how many can speak only Hindi and how many can speak only English?

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Last updated 23 May 2026, 3:31 pm IST
  1. A21, 11 and 29 respectively
  2. B28, 18 and 22 respectively
  3. C37, 27 and 13 respectively
  4. D39, 29 and 11 respectivelyCorrect

Explanation

Here's a brief explanation: 1. Students who can speak only English: Total English speakers = 21 Students who speak both English and Hindi = 10 So, students who speak only English = 21 - 10 = 11 2. Students who can speak only Hindi: Total students = 50 Students who speak only English = 11 Students who speak both English and Hindi = 10 Students who speak at least one language = (only English) + (only Hindi) + (both) 50 = 11 + (only Hindi) + 10 50 = 21 + (only Hindi) Students who speak only Hindi = 50 - 21 = 29 3. Students who can speak Hindi: Students who speak only Hindi = 29 Students who speak both English and Hindi = 10 So, total students who can speak Hindi = 29 + 10 = 39 The required values are: Students who can speak Hindi = 39 Students who can speak only Hindi = 29 Students who can speak only English = 11 Comparing these with the options (Hindi, Only Hindi, Only English): Option D) 39, 29 and 11 respectively. This matches our calculations. The final answer is D.
Quantitative Aptitude: There are 50 students admitted to a nursery class. Some students can speak only English and some can speak only Hindi. 1

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