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Part ACSIR NET June 2025everything-here-is-measured-along-the-line-so-no-pi-appears

Everything here is measured along the line so no pi appears

Three identical semi-circles are arranged on a common horizontal line, two standing above the line and one below it. The diameter of the left-hand upper semi-circle begins at the left end of the line, the diameter of the right-hand upper semi-circle ends at the right end of the line, and the lower semi-circle lies between them. Along the line, the distance from the left end of the line to the left end of the lower semi-circle's diameter is 15, the distance from the right end of the lower semi-circle's diameter to the right end of the line is 15, and the gap between the right end of the left upper semi-circle's diameter and the left end of the right upper semi-circle's diameter is 10. What is the diameter of the semi-circles?

  1. A.
  2. B.20
  3. C.
  4. D.25

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 execution slip.

See pricing

50 are analysed free — try those first.

The trap it tests

Execution slip

The idea was right. The computation was not.

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