Multiple choice

Passage

Each of the questions below consists of a question and two statements I, and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the statements and give answer.

Pipe M and N can fill a tank at the rate of 12 and 10 litre per minute respectively. There is a leakage also in the same tank. What is the capacity of the tank? Statement I : If M and N are opened simultaneously, the tank is filled in 5 hours 45 minutes and a leakage hole drains the pipe at the rate of 6 litres/minute. Statement II : Due to the leak the filled tank drains in 15 hours 20 minutes. If M and N are opened simultaneously, the tank is filled in 5 hours 45 minutes .

  1. 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.

  2. 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.

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

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

  5. If the data given in both statements I and II together are not sufficient to answer the question.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement I: Combined fill rate = 22 L/min (12+10-6 leakage). Time = 5h 45m = 345 min. Capacity = 22 × 345 = 7,590 litres. Statement I alone gives the capacity. Statement II: Leakage rate from draining time = 7590 / 920 min ≈ 8.25 L/min, but this requires knowing the capacity first. Both statements independently give the capacity (Statement II references the same fill time). So either statement alone is sufficient.

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