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In a class of 65 students 40 like cricket, 25 like football and 20 like hockey. 10 students like both cricket and football, 8 students like football and hockey and 5 students like all three sports.…

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In a class of 65 students 40 like cricket, 25 like football and 20 like hockey. 10 students like both cricket and football, 8 students like football and hockey and 5 students like all three sports. If all the students like at least one sport, then the number of students who like both cricket and hockey is
  1. 7
  2. 8
  3. 10
  4. 12

Answer and explanation

Correct answer: A - 7
65 = 40+25+20 - 10 - 8 - x + 5 = 72 - x, so x = 7 like both cricket and hockey.

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  • IPMAT Indore

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