1. 

How much time will the train A take to cross another train B running in opposite direction?

I. Train A crosses a signal pole in 6 seconds.

II. Ratio of the speeds of train A and B is 3 : 2.

III. Length of the two trains together is 500 metres.
A. I only
B. II only
C. III only
D. II or III only
E. Question cannot be answered even with the information in all the three statements.

Answer: Option E

Explanation:

II. Let the speeds of A and B be 3x m/sec and 2x m/sec.

I. Length of train A = 3x X 6 m = 18x metres.

III. Length of train B = 500 - 18x m.

Relative speed = 3x + 2x m/sec

= 5x m/sec.

Time taken by A to cross B = Sum of their lengths/ Relative speed

= 500/5x sec.

Thus, even with the information in all the three statements, question cannot be answered.

Correct answer is (E).