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Part ACSIR NET June 2025exactly-two-excludes-the-centre-region-where-all-three-overlap

Exactly two excludes the centre region where all three overlap

A Venn diagram shows the numbers of players playing one or more than one sport among Football, Cricket and Tennis: 18 play Football only, 24 play Cricket only, 20 play Tennis only, 7 play Football and Cricket but not Tennis, 11 play Football and Tennis but not Cricket, 8 play Cricket and Tennis but not Football, and 4 play all three sports. The percentage of players who play exactly two sports is closest to ____%.

  1. A.5
  2. B.14
  3. C.28✓
  4. D.32

You have the answer. Trap Analysis is why the other three were written.

Not a worked solution repeated four times — the specific reasoning error each wrong option was built to reward, and why this one tests boundary and endpoint.

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50 are analysed free — try those first.

The trap it tests

Boundary and endpoint

The statement turns at the edge of the interval, the domain, or the parameter range.

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