Question

Each question below is followed by two statements I, II and III. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of mathematics to choose the best possible answer.

What is the length of the platform?

Statement I: The train crosses a pole in 12 seconds

Statement II: The train crosses the platform in 27 seconds

Statement III: The length of the train is 240 meters

1. Data in statement I alone is sufficient to answer the question, while the data in statement II and III alone are not sufficient to answer the question
2. Data in statement II alone is sufficient to answer the question, while the data in statement I and III alone are not sufficient to answer the question
3. Data in statement III alone is sufficient to answer the question, while the data in statement II and III alone are not sufficient to answer the question
4. Data in statement I, II, and III together are sufficient to answer the question.
5. Data in statement I, II, and III together are not sufficient to answer the question.

Answer 1

Correct Answer - Option 4 : Data in statement I, II, and III together are sufficient to answer the question.

Calculation:

From statement I

The speed of the train is unknown. We cannot determine the length of the platform.

So, the statement I alone is not sufficient to answer the question.

From statement II

The length of the train is unknown. We cannot determine the length of the platform.

So, the statement II alone is not sufficient to answer the question.

From statement III

The speed of the train is unknown. We cannot determine the length of the platform.

So, the statement III alone is not sufficient to answer the question.

From statement I, statement II and statement III together

Speed of the train = 240/12

⇒ 20 m/sec

Distance covered by train in 27 seconds = 20 × 27

⇒ 540 meter

Length of platform = 540 – 240

⇒ 300 meter

So, the statement I, statement II, and statement III together are sufficient to answer the question.

∴ Statement I, statement II, and statement III together are sufficient to answer the question.