Study the diagram and answer the question given below. The triangle shows players of chess, the circle players of badminton and the square players of tennis; each number is the number of players in that region.
How many players play exactly two of the games?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 21
A player who plays exactly two games stands in a region shared by two figures and outside the third. The region shared by all three figures (8) is left out.
Chess and badminton, not tennis (inside the triangle and the circle, outside the square): 9
Badminton and tennis, not chess (inside the circle and the square, outside the triangle): 12
Chess and tennis, not badminton: no number, as the part of the triangle inside the square lies wholly inside the circle
Total \(=9+12=21\)
