Multiple choice

Directions: The question below is followed by two statements numbered I and II. You have to decide whether the data provided in the statements is sufficient to answer the question. What is the length of a train which crosses a pole in 20 seconds? I. The train crosses a 300 metres long platform in 35 seconds. II. The speed of the train is 72 km/hr.

  1. 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. 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. Data either in statement I alone or in statement II alone is sufficient to answer the question.

  4. Data given in both the statements I and II together is not sufficient to answer the question.

  5. Data in both the statements I and II together is sufficient to answer the question.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let length of train be L and speed be S. From the pole: L/S = 20. From the platform: (L + 300)/S = 35. Both statements provide enough information to solve for L and S.

AI explanation

Using the formula distance equals speed multiplied by time, statement II gives the train length directly as 20 seconds multiplied by 20 meters per second, which equals 400 meters. Alternatively, using statement I, the equation for the platform crossing is length divided by 20 equals the sum of length and 300 divided by 35, which simplifies to 15 times the length equals 6000, yielding the length as 400 meters. Because the length can be found using either statement alone, the data either in statement I alone or in statement II alone is sufficient to answer the question.

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