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The following question is accompanied by two statements (I) and (II). Determine which statement(s) is/are sufficient to answer the question. What is the length of Train A? Statement I: Train A crosses a man running at 10 m/s in the opposite direction in 10 seconds, and the speed of the train is x m/s. Statement II: Train B has double the speed of Train A, crosses a pole in 5 seconds, and the length of Train B is 500 m. A) Statement I alone is sufficient to answer the question, but Statement II alone is not sufficient. B) Statement II alone is sufficient to answer the question, but Statement I alone is not sufficient. C) Both statements I and II together are needed to answer the question. D) Either statement I alone or Statement II alone is sufficient to answer the question.

1. Statement I alone is sufficient to answer the question, but Statement II alone is not sufficient.
2. Statement II alone is sufficient to answer the question, but Statement I alone is not sufficient.
3. Both statements I and II together are needed to answer the question.
4. Either statement I alone or Statement II alone is sufficient to answer the question.

Correct answer: Both statements I and II together are needed to answer the question.

Solution

Statement I gives only an equation involving the train’s speed and length, so it is insufficient alone. Statement II gives the speed relation and the length of Train B, but not enough to directly find Train A’s length alone. Together, they allow solving for the speed of Train A and then its length.

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