Rani Supriya and Amita work on a project If each of them is of a different efficiency Who is the fas...........

Quantitative Aptitude (SBI-CL) Data Sufficiency

Rani, Supriya and Amita work on a project. If each of them is of a different efficiency. Who is the fastest worker among them?

Statement I : Rani and Supriya take 5 days to complete the project while Supriya and Amita take 10 days to complete the same project.

Statement II: Rani and Amita take 30/7 days to complete the project.

If the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question

If the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question

If the data either in statement I alone or in statement II alone is sufficient to answer the question

If the data in both statements I and II together are necessary to answer the question

If the data given in both statements I and II together are not sufficient to answer the question.

Explanation:

From statement I, Rani and Supriya take 5 days to complete the project implies one of them (Rani or Supriya) takes less than 10 days and the other takes more than 10 days. Supriya and Amita take 10 days to complete the project implies one of them ( Supriya or Amita ) takes less than 20 days and the other takes more than 20 days. Supriya cannot take less than 10 days because if Supriya takes less than 10 days than Supriya and Amita should take less than 10 days to complete the project.(but given Supriya and Amita take 10 days to complete the project). Rani takes less than 10 days and she is the fastest. From statement II, we do not know anything about Supriya, so who is fastest cannot be determined.

Hence, option A is correct.