Question

The question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer
Ram works for 5 days and leaves the job. Then in how many days will the remaining work be done by Vikas and Sarfaraz together?
I. Ram alone can do the entire work in 30 days and Sarfaraz is twice as efficient as Vikas.
II. \(33\frac{1}{3}\%\) of the work is done by Ram in 10 days whereas Vikas and Sarfaraz together can do \(33\frac{1}{3}\%\) work in 2 days

• A. the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
• B. the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
• C. the data either in statement I alone or in statement II alone are sufficient to answer the question.
• D. the data even in both statements I and II together are not sufficient to answer the question.

Answer 1

The Correct Option is D

Let's analyze the statements:
Statement I: Ram can do the work in 30 days, and Sarfaraz is twice as efficient as Vikas. But Vikas's work rate is unknown.
Statement II: Ram does \(33\frac{1}{3}\%\) of the work in 10 days, and Vikas and Sarfaraz together do \(33\frac{1}{3}\%\) in 2 days, but individual rates aren't provided.
Even combined, we cannot determine Vikas's work rate or how long Vikas and Sarfaraz would take to complete the remaining work.
So, the correct option is (D): Both statements together are not sufficient to answer the question.