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’s efficiency is 50\(\%\) more than Shyam’s. In how many days can Shayam alone do the whole work?
I. Ram and Shyam together can do the whole work in 12 days.
II. Ram worked for 4 days and left the work and the remaining work was done by Shyam alone in 24 days.

Updated On: Oct 15, 2024
  • 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.
  • 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.
  • the data either in statement I alone or in statement II alone are sufficient to answer the question.
  • the data even in both statements I and II together are not sufficient to answer the question.
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The Correct Option is D

Solution and Explanation

Let's analyze the statements:
Statement I: Ram's efficiency is 50\(\%\) more than Shyam's, but it doesn't give the specific number of days Shyam takes to complete the work. Statement II: Shyam finished the remaining work in 24 days after Ram worked for 4 days, but their relative efficiencies are unknown.
Even when combined, we don't have enough information to determine how many days Shyam alone takes to finish the entire work.
So, the correct option is (D): Both statements together are not sufficient to answer the question.
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