Multiple choice

What is the speed of the train? I. Ratio of length of the train and length of platform is 2:3. II. The train crosses a pole in 24 seconds. III. The train crosses a platform in 60 seconds.

  1. Any two

  2. I and II

  3. II and III

  4. All three together are sufficient

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

Statement II gives length of train if we know speed. Statement III gives (train length + platform length) if we know speed. Statement I relates train and platform lengths. With all three: let train length = 2x, platform = 3x. From II: train crosses pole in 24s, so speed = 2x/24. From III: crosses platform in 60s, so (2x + 3x) = speed × 60, giving 5x = (2x/24) × 60, which solves. None of the partial combinations work.

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