Quantitative Aptitude Ques 695

Question: 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.

Options:

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

Show Answer

Answer:

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.