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Pipes and Cistern - General Aptitude

Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.
Q1:

If both the pipes are opened, how many hours will be taken to fill the tank?
I. The capacity of the tank is 400 litres.
II. The pipe A fills the tank in 4 hours.
 III. The pipe B fills the tank in 6 hours.

A Only I and II

B Only II and III

C All I, II and III

D Any two of the three

E Even with all the three statements, answer cannot be given.

ANS:B - Only II and III

  II. Part of the tank filled by A in 1 hour = 1
4
III. Part of the tank filled by B in 1 hour = 1
6
(A + B)'s 1 hour's work = 1 + 1 = 5
4 6 12
A and B will fill the tank in 12 hrs = 2 hrs 24 min.
5
So, II and III are needed. Correct answer is (B).