GATE Papers >> Civil >> 2019 >> Question No 7

Question No. 7 Civil | GATE 2019

In a sports academy of 300 people, 105 play only cricket, 70 play only hockey, 50 play only football, 25 play both cricket and hockey, 15 play both hockey and football and 30 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?


Answer : (B) 25.00


Solution of Question No 7 of GATE 2019 Civil Paper

Given,

Play only cricket → 105

Play only hockey → 70

Play only football → 50

Play both cricket and hockey → 25

Play both hockey and football → 15

Play both cricket and football → 30

Total number of people in sports academy = 300

Number of people who play only sport = 105+70+50=225

Number of people who play at least two sports=Total-(people who play only one sport) = 300-225=75

$ \therefore $ Required percentage = $ \left[\frac{75}{300}\times100\right]\%=25\% $  

 

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