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Part ACSIR NET June 2025half-way-round-is-diametrically-opposite-so-the-chord-home-is-2r

Half way round is diametrically opposite so the chord home is 2r

Rahul and his father started jogging on a circular track of radius 'r' (r > 2). Rahul completed one round and stopped. His father got tired half way into the first round and returned to his starting point along a straight line. What is the ratio of the distances covered by Rahul and his father?

  1. A.πr/(π+2)\pi r / (\pi + 2)
  2. B.2π/(π+2)2 \pi / (\pi + 2)✓ Correct
  3. C.1
  4. D.2

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.

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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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