Question

A club has 256 members of whom 144 can play football, 123 can play tennis, and 132 can play cricket. Moreover, 58 members can play both football and tennis, 25 can play both cricket and tennis, while 63 can play both football and cricket. If every member can play at least one game, then the number of members who can play only tennis is

• A. 45
• B. 38
• C. 32
• D. 43

Answer 1

The Correct Option is D

Let x represent the number of members playing all three games.
Since all members play at least one of the three games, the union of the sets for these games is 256.
Therefore, the equation is formed as follows:
256 = (144 + 123 + 132) - (58 + 25 + 63) + x.
Solving for x, we find that x equals 3.
By fitting these numbers into the Venn diagram :

we observe that the number of members exclusively playing tennis is 43.