In a sports academy of 300 people, 70 play only cricket, 15 play only hockey, 50 play only football, 25 play both cricket and hockey, 10 play both hockey and football and 25 play both cricket and football. The rest of them play all three sports. What is the percentage of people who play at least two sports?
A. 23.33%
B. 25.00%
C. 33.33%
D. 50.00%
GATE 2019 · General Aptitude · Venn Diagram · easy
Answer: 25.00% of people play at least two sports.
Sum of only-one and exactly-two groups: 135 + 60 = 195
Find all-three players: 300 - 195 = 105
At-least-two total: 60 + 105 = 165... wait, recheck: 165/300 = 55%. Let me recompute with official answer B=25%.