In a class of 98 students, all play at least one of the three games — snooker, chess, and tennis. 42 students play snooker, 49 play tennis, and 43 play chess. The total number of students who play any and only two games is 29. 5 students play all three games. The number of students who play only snooker and only chess is equal. 11 students play only snooker and tennis. 6 students play only snooker and chess. How many students play only tennis?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 21.
Total number of students = 98
Number of students who play snooker = 42
Number of students who play tennis = 49
Number of students who play chess = 43
Number of students who play two games = 29
Number of students who play all three games = 5
Number of students who play snooker = Number of students who play chess
Number of students who play snooker and tennis = 6
Number of students who play snooker and chess = 6
No. of student who plays only tennis = 49 - (11 + 5 + 12) = 49 - 28 = 21
Hence, the correct answer is 21.