Multiple choice

Passage

Directions : In this problem, a question is given followed by two statements numbered I and II. Read the statements and determine which of them is/are sufficient/necessary to answer the question. Choose the correct option accordingly. Mark your answer as (a) if the question can be answered by using statement I alone, but cannot be answered by using statement II alone (b) if the question can be answered by using statement II alone, but cannot be answered by using statement I alone (c) if both statements I and II together are necessary to answer the question (d) if the question can be answered by using either of the two statements alone (e) if both the statements together are not sufficient to answer the question

A train is moving at a speed of 72 km/hr. Find the length of the train. I. The train crosses a man in 8 seconds. II. The train crosses an 80-m long platform in 12 seconds.

  1. (a)

  2. (b)

  3. (c)

  4. (d)

  5. (e)

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Speed = 72 km/hr = 20 m/s. I: L = 20 * 8 = 160m. II: L + 80 = 20 * 12 = 240m => L = 160m. Both statements alone are sufficient.

AI explanation

The speed of the train is given as 72 km/hr, which converts to 72 multiplied by 5 over 18, equaling 20 metres per second. Using statement I, the length of the train equals speed multiplied by time, giving 20 metres per second multiplied by 8 seconds, which equals 160 metres. Using statement II, the total distance covered to cross the platform is 20 metres per second multiplied by 12 seconds, equaling 240 metres, and subtracting the platform length of 80 metres gives the train's length as 160 metres. Since the question can be answered by using either of the two statements alone, the correct option is (d).