Multiple choice

Directions: The item given below consists of a question and two statements, numbered I and II. You have to decide whether the data provided in the statements is sufficient to answer the question. Read both the statements and mark accordingly. There are X litres of pure milk in each of the jars A and B. What is the value of X? I. Ram took out 32 litres of milk from jar A and replaced it with equal quantity of water. He again took out 32 litres of new formed mixture of milk and water from same jar and replaced it with equal quantity of water. As a result, the respective ratio of milk and water in jar A became 16 : 9. II. Ram took out 20% of milk from jar B and added 72 litres of water. As a result, percentage of water in the mixture becomes 35%.

  1. The data in statement (I) alone is sufficient to answer the question.

  2. The data in statement (II) alone is sufficient to answer the question.

  3. The data in both the statements together is needed.

  4. Either statement (I) alone or statement (II) alone suffices to answer the question.

  5. Even by combining both the statements, the answer can not be found.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement I allows calculating the initial volume X using the formula for successive replacement: Final Milk = Initial * (1 - 32/X)^2. Statement II allows calculating X by setting up an equation for the final water percentage after removing 20% of milk and adding 72L of water. Both provide sufficient information to solve for X independently.

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