Question

Each of the questions 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:
A, B, and C are three pipes in a tank. A and B are outlet pipes and C is an inlet pipe. The ratio of the efficiency of A : B is 3 : 1 and that of B : C is 1 : 2. What is the capacity of the tank?
Statement I: If all three pipes are opened, the water in the tank will decrease at the rate of 30 litres per minute.
Statement II: The time taken by C to fill the tank is 60 minutes less than the time taken by B to empty the tank.

• A. If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question.
• B. If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question.
• C. If data either in statement I alone or statement II alone is sufficient to answer the question.
• D. If data in both statements I \& II together are necessary to answer the question.
• E. If data in both statements I \& II together even are not sufficient to answer the question.

Hint:

In problems involving rates and times, compare the efficiencies and relationships between pipes to derive the required values. Statement II directly provides the relationship needed to calculate the tank's capacity.

Answer 1

The Correct Option is B

Step 1: Analyze Statement I.
Statement I provides information about the rate at which the water in the tank decreases when all pipes are opened. However, it does not give any direct information about the total capacity of the tank. This information alone is not sufficient to determine the tank's capacity.
Step 2: Analyze Statement II.
Statement II gives the relationship between the times taken by pipes B and C to fill or empty the tank. By using this information, we can calculate the total capacity of the tank because the time and rate at which the water is being filled or emptied gives a direct measure of the tank's capacity. Therefore, Statement II alone is sufficient to solve the problem.
Step 3: Conclusion.
Thus, the correct answer is (B): The data in statement II alone is sufficient to answer the question.