Multiple choice

Directions: This data sufficiency problem consists of a question and two statements labeled (1) and (2). You have to decide whether the data given in the statements are sufficient for answering the question. How long will it take two pipes to empty or fill a tank that is 4/5th full? (1) Pipe P1 can fill the tank in 11 minutes. (2) Pipe P2 can empty it in 7 minutes.

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.

  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient.

  3. Both (1) and (2) together are sufficient, but none of them alone is sufficient.

  4. Each statement alone is sufficient.

  5. Statements (1) and (2) together are not sufficient.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

To find the time to fill/empty, we need the net rate. Statement 1 gives rate of P1, Statement 2 gives rate of P2. Together, we can find the net rate and solve the problem.

AI explanation

The question asks to find the time required to fill or empty a tank that is currently 4/5th full. Statement 1 provides the filling rate of pipe P1 as 11 minutes, and statement 2 provides the emptying rate of pipe P2 as 7 minutes. Because you need the rates of both the filling pipe and the emptying pipe to calculate the net rate of the system, neither statement alone is sufficient. Therefore, both statements together are sufficient, but neither statement alone is sufficient.

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