Multiple choice

Passage

Directions: The question below is followed by statements I and II. You are to determine whether the data given in the statements is sufficient to answer the question. You should use the data and your knowledge of Mathematics to choose between the possible answers. Give answer (a) if the question can be answered by using statement I alone but cannot be answered by statement II alone (b) if the question can be answered by using statement II alone but cannot be answered by statement I alone (c) if both statements I and II together are required to answer the question (d) if the answer can be found by using any of the two statements alone (e) if both the statements together are not sufficient to answer the question

Find the length of a train which crosses a bridge in 10.2 seconds. I. Length of bridge is 75 m and train is moving at 25 m/s. ">II. Ratio of length of train and that of bridge is 12 : 5.

  1. (a)

  2. (b)

  3. (c)

  4. (d)

  5. (e)
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A Correct answer
AI explanation

Statement I gives the speed (25 m/s), the time (10.2 s), and the bridge length (75 m), allowing us to find the train's length by subtracting the bridge length from the total distance covered (25 multiplied by 10.2). Statement II only provides the ratio of their lengths without any absolute values, making it impossible to determine the exact length alone. Therefore, the question can be answered by using statement I alone but cannot be answered by using statement II alone.

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