Multiple choice

Directions: Each of the questions below consists of a question and May Four statements numbered I, II, III and IV 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: What is the time taken by the train to cross the Agra junction platform of length 300 m? I. The speed of the train is 90 kmph. II. It takes 10 sec more to cross the Hazrat Nizamuddin platform of 500 m length than to cross the Agra junction platform, and it takes 30 sec to cross the Yamuna bridge of 400 m.

  1. 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. 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. The data in statement I alone or in statement II alone is sufficient to answer the question.

  4. The data in both the statements I and II is not sufficient to answer the question.

  5. The data in both the statements I and II together is necessary to answer the question
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Statement II provides enough information to find the speed and the time taken. By comparing the time taken to cross the 500m platform and the 300m platform, we can determine the speed of the train. Once the speed is known, the time to cross the 300m platform is easily calculated.

AI explanation

To find the time to cross the 300 m platform, we need both the train's length and speed. Statement I provides the speed as 90 km/h, but without the train's length, it is insufficient. Statement II gives three equations: time to cross the Yamuna bridge of 400 m is 30 sec, time to cross Hazrat Nizamuddin platform of 500 m is time to cross Agra junction platform plus 10 sec, and the speed remains constant. Let the train length be L and speed be V. From the bridge, 400 + L = 30V. Let the time for Agra junction (300 m) be t, so 300 + L = tV. For Hazrat Nizamuddin, 500 + L = (t+10)V. Substituting the first two equations allows us to solve for V, L, and t. Thus, statement II alone is sufficient to answer the question.

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