Quantitative Aptitude

Data Sufficiency 3

(Question 1 to 3) : Each of these questions is followed by three statements. You have to study the question and all the three statements given to decide whether any information provided in the statement(s) is redundant and can be dispensed with while answering the given question.

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.
2. 

At what time will the train reach city X from city Y?

I. The train crosses another train of equal length of 200 metres and running in opposite directions in 15 seconds.

II. The train leaves city Y and 7.15 a.m. for city X situated at a distance of 558 km.

III. The 200 metres long train crosses a signal pole in 10 seconds.

A. I only
B. II only
C. III only
D. II and III only
E. All I, II and III are required.
3. 

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.