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In a school \(70\%\) of the boys like cricket and \(50\%\) like football. If \(x\%\) like both Cricket and Football, then

Question and options

In a school 70%70\% of the boys like cricket and 50%50\% like football. If x%x\% like both Cricket and Football, then
  1. 20≤x≤5020 ≤ x ≤ 50
  2. x≤20x ≤ 20
  3. x≥50x ≥ 50
  4. 10≤x≤7010 ≤ x ≤ 70

Answer and explanation

Correct answer: A - \(20 ≤ x ≤ 50\)
Minimum overlap = 70+50-100 = 20; maximum overlap = smaller set = 50. So 20 <= x <= 50.

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  • IPMAT Indore

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