A question is given followed by two statements I and II. Consider the Question and the Statements and mark the correct option.<br><br>Question : In how many days can A, B and C together finish the work?<br><br>Statement-I: A and B together can finish the work in 24 days<br><br>Statement-II: B and C together can finish the work in 36 days<br><br>Which one of the following is correct in respect of the above Question and the Statements?

  1. A. The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone
  2. B. The Question can be answered by using either Statement alone
  3. C. The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone
  4. D. The Question cannot be answered even by using both the Statements together ✓

Correct Answer: D. The Question cannot be answered even by using both the Statements together

Explanation

We need the combined rate of A, B, and C. Statement I gives the rate of (A+B). Statement II gives the rate of (B+C). We do not have the rate of C, A, or (A+C) to determine the exact total time for all three working together. Therefore, the question cannot be answered even with both statements.

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