1. 

What is the length of a running train P crossing another running train Q?

I. These two trains take 18 seconds to cross each other.

II. These trains are running in opposite directions.

III. The length of the train Q is 180 metres.

A. I only
B. II only
C. III only
D. All I, II and III are required
E. Even with I, II and III, the answer cannot be obtained.

Answer: Option E

Explanation:

Let the length of the train P be x metres.

 II. These trains are running in opposite directions.

III. Length of the train Q is 180 m.

I. Time taken by P to cross Q

   (180 + x)     18 = (180 + x)
Relative speed Relative speed

Thus, even with I, II and III, the answer cannot be obtained.

Correct answer is (E).