Multiple choice

In a kilometer race, by how many meters Akhilesh beats Sangram? Statement I : In a kilometer race, Akhilesh beats Pramod by 200 meters. Statement II : The respective ratio of the speed of Pramod and Sangram is 4 : 3. Statement III : In a kilometer race, Pramod beats Sangram by 300 meters.

  1. If either statement III alone or statements I and II together are sufficient.

  2. If only statement III is sufficient.

  3. If statement I and Statement II together are sufficient.

  4. If all statements I, II, and III together are sufficient.

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement I: Akhilesh beats Pramod by 200m in 1km → when A finishes 1000m, P is at 800m. Speed ratio A:P = 1000:800 = 5:4. Statement II: P:S = 4:3. Combining I+II: A:P:S = 5:4:3. When A finishes 1000m, S covers (3/5)×1000 = 600m, so A beats S by 400m. Statement III alone: P beats S by 300m gives ratio P:S but A's position unknown. I+II together are sufficient.

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