GATE CE 2019 Set 1 — Question 7
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General Aptitude → Analytical Aptitude → Numerical Relations & Reasoning
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Question
In a sports academy of people, play only cricket, play only hockey, play only football, play both cricket and hockey, play both hockey and football and 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?
Correct answer
(B) 25.00
Solution
Let , , and represent the sets of people playing cricket, hockey, and football respectively.
Given:
The total number of people is the sum of all disjoint regions in the Venn diagram:
People who play at least two sports are those in the intersections of two or more sets:
Percentage of people playing at least two sports = .
Given:
- Total people =
The total number of people is the sum of all disjoint regions in the Venn diagram:
People who play at least two sports are those in the intersections of two or more sets:
Percentage of people playing at least two sports = .
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