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. |
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