Multiple choice

Directions: In the following item, a question is followed by data in the form of two statements labelled as I and II. You have to decide whether the data given in the statements is sufficient to answer the question. Using the data, make an appropriate choice from [1] to [4] as per the following guidelines: Mark choice [1] if statement I alone is sufficient to answer the question. Mark choice [2] if statement II alone is sufficient to answer the question. Mark choice [3] if both statements I and II are sufficient to answer the question, but neither statement alone is sufficient. Mark choice [4] if both statements I and II together are not sufficient to answer the question and additional data is required. What is the speed of the train? I. The length of the train is 100 metres. II. The train passes the other stationary train, whose length is 150 metres, in 5 seconds.

  1. 1

  2. 2

  3. 3

  4. 4

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

Speed = Distance / Time. Statement I gives the length of the train. Statement II gives the length of the other train and the time taken to pass it. Together, the total distance is 100 + 150 = 250 metres, and time is 5 seconds, so speed = 250 / 5 = 50 m/s. Both are required.

AI explanation

Statement I alone only provides the length of the first train and lacks the time or distance element required to calculate speed. Statement II alone provides the time taken but omits the length of the first train, so the total distance cannot be found. Combining both statements, the total distance becomes 100 + 150 = 250 meters, and using the speed formula, the speed is 250 / 5 = 50 m/s, so both statements together are necessary, making the result 3.

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