Multiple choice

What is the length of the train? I. It takes 15 seconds to cross a pole II. It takes 10 seconds to cross a 60 m-long platform.

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II together are not sufficient.

  5. If both statement together are sufficient, but neither statement alone is sufficient.
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E Correct answer
Explanation

From I: The train crosses a pole in 15 seconds, so its length L = speed × 15. But we don't know the speed. From II: The train crosses a 60 m platform in 10 seconds, so L + 60 = speed × 10. Combining both: From I, speed = L/15. Substituting in II: L + 60 = (L/15) × 10, which gives L = 180 m. Both statements together are sufficient but neither alone is.

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