Question

In how many days A and B together complete a work ?
I. If A works alone for 10 days and B alone for 15 days, the work gets completed.
II. A can complete the work in 14 days.

• A. The data in statement I alone is sufficient to answer the question.
• B. The data in statement II alone sufficient to answer the question.
• C. The data either in statement I alone or statement II alone are sufficient to answer the question
• D. The data given in both I and II together are not sufficient to answer the question
• E. The data in both the statement I and II together are necessary to answer the question

Answer 1

The correct option is E The data in both the statement I and II together are necessary to answer the question

From I : $\frac{1}{A}\times 10+\frac{1}{B}\times 15=1$
From II : $\frac{1}{A}=\frac{1}{14}$
From both, answer can be found.