Question

If out of a total 120 students in a school, 5% can play all 3 sports – cricket, hockey and kho-kho, also the number of students who can play any 2 and only 2 of the above sports is 30 and the students who can play only cricket is 40, then what is the total number of students who can play only hockey or kho-kho alone?

• A. 30
• B. 38
• C. 44
• D. 45

Hint:

In set theory or Venn diagram problems, always sum up all mutually exclusive groups to reach the total.

Answer 1

The Correct Option is C

Total students = 120 Students playing all 3 sports = 5% of 120 = 6 Students playing only 2 sports = 30 Students playing only cricket = 40 Let those who play only hockey or only kho-kho be x Now, total = only cricket + only hockey/kho-kho (x) + only 2 sports + all 3 ⇒ 120 = 40 + x + 30 + 6 ⇒ x = 120 − 76 = 44