Multiple choice

Directions: In the following problem, a question is followed by three statements numbered (I), (II), and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question. At what speed did train cross the platform? I. Length of the platform is 120 m. II. Train crossed the platform in 8 seconds. III. Length of the platform and the train altogether is equal to 200 m.

  1. Only statements I and II

  2. Only statements I and III

  3. Only statements II and III

  4. All three statements

  5. Only statement II and either statement I or statement III
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

To find the speed, we need the total distance (length of train + length of platform) and the time taken. Statement II gives time. Statement III gives the total distance. Statement I is redundant if III is known. Thus, II and III are sufficient.

AI explanation

To find the speed of the train crossing the platform, we need the total distance covered and the time taken. The time taken is given in statement II as 8 seconds. The total distance is the sum of the lengths of the train and the platform, which is directly provided as 200 metres in statement III. Therefore, using only statements II and III, the speed is calculated as 200 divided by 8, equaling 25 m/s.

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