Question

In a class of 75 students, 40 students participate in Cricket, 28 students participate in Hockey, and 12 students participate in both Cricket and Hockey, whereas 19 students do not participate in any of the two sports. How many students participate only in Hockey?

• A. 28
• B. 44
• C. 16
• D. 35

Answer 1

Answer:

C. 16

Solution:

In a class of 75 students.

19 students do not participate in any of the two sports.

• Students who participate in any of the two sports or both the sports = 75 - 19 = 56

12 students participate in both Cricket and Hockey.

40 students participate in Cricket.

• Students who participate only in Cricket = 40 - 12 = 28

28 students participate in Hockey

• Students who participate only in Hockey = 28 - 12 = 16

Clearly, 16 students participate only in Hockey.

Hence, '16' is the correct answer.