Banking Quantitative Aptitude Sample Paper Quantitative Aptitude Sample Paper-22

Directions: Each of the questions below consists of a question and three statements I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. [IBPS (PO) 2012]

In how many days A alone can complete the work?

I. A and B together can complete the work in 8 days.

II. B takes twice the time taken by A in completing the work.

III. A and B together take \[\frac{1}{3}\]of the time taken by B alone in completing the work.

A) I and III

B) II and either I or III

C) All I, II and III

D) Any two of the three

E) Even with all three statements answer cannot be given

Correct Answer: A

Solution :

I. (A + B)'s 1 clay's work \[=\frac{1}{8}\]

III. B's 1 day's work \[=\frac{1}{24}\]

\[\therefore \]A's 1 day's work \[=\frac{1}{8}-\frac{1}{24}=\frac{3-1}{24}=\frac{1}{12}\]

Hence, A alone will do the work in 12 days.