66th B.P.S.C. (Pre) 2020

In a group of athletic teams at a school, there are 21 on the basketball team, 26 on the hockey team, and 29 on the football team. If 14 play hockey and basketball, 12 play football and basketball, 15 play hockey and football, and 8 play all three sports, how many play only football?

a10✓ Correct
b29
c21
d18
eNone of the above/More than one of the above

Explanation

Venn diagram showing intersection of Basketball, Hockey, and Football sets Basketball = 21 Hockey = 26 Football = 29 Therefore, the number of people who only play football = 10

general-science