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GATE 2019 CE (CE1) – Question 7

General Aptitude · Quantitative Aptitude: Arithmetic and Number Computation · 2 marks · Multiple choice

In a sports academy of 300 people, 105 play only cricket, 70 only hockey, 50 only football, 25 both cricket and hockey, 15 both hockey and football and 30 both cricket and football. The rest play all three. Find the percentage who play at least two sports.

  1. 23.30
  2. 25.00
  3. 28.00
  4. 50.00

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Correct answer: (B) 25.00

Explanation

The single-sport groups total $105+70+50=225$. Thus $300-225=75$ play at least two sports, regardless of the split among pair and triple groups. Percentage is $100(75/300)=$ **25.00%, B**.