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In a Shimla school 20% of students play none of three games and 5% play all three. The note gives each game's percentage. What percentage play exactly one game?

Competition practiceVenn Diagrams
  • A60%
  • B75%
  • C45%
  • D65%

Step-by-Step Solution

At least one = exactly one + exactly two + 5. The totals = exactly one + 2 × exactly two + . Subtracting: exactly two , so exactly one . 75% is exactly one plus exactly two, 45% subtracts the 15 twice, and 65% forgets the 5% in the centre.
Answer: A) 60%

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