Multiple choice

Passage

Each of the questions below consists of a question and two statements I, and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the statements and give answer.

Two trains P and Q are travelling towards each other on the same track. The initial distance between them is 91 km. Find the time, when the two trains will collide. Statement I : The speed of train P is 65km/h and the speed of Q is 104 km/h more than that of train P. Statement II : The ratio of speeds of the two trains is 5 : 13.

  1. If the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

  2. If the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

  3. If the data either in statement I alone or in statement II alone is sufficient to answer the question.

  4. If the data in both statements I and II together are necessary to answer the question.

  5. If the data given in both statements I and II together are not sufficient to answer the question.
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A Correct answer
Explanation

Statement I gives both speeds: P = 65 km/h, Q = 65 + 104 = 169 km/h. Combined speed = 234 km/h, distance = 91 km. Time = 91/234 hours. This is sufficient. Statement II only gives the ratio 5:13, which gives the same relative speeds but no absolute values to calculate the time.

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