Multiple choice

Directions: In the following problem, a question is followed by two statements (A) and (B). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question. In a mixture, the ratio of milk to water is 2 : 1 by volume. If the ratio of milk to water is to be 1 : 2 by volume, then what is the volume of water to be further added? (A) Volume of initial mixture is 60 litres. (B) Volume of water in initial mixture is 20 litres.

  1. Statement (A) alone is sufficient but statement (B) alone is not.

  2. Statement (B) alone is sufficient but statement (A) alone is not.

  3. Both (A) and (B) together are sufficient but neither of them alone is sufficient.

  4. Both statements are sufficient independently.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Both statements provide enough information to determine the initial quantities and the change required to reach the target ratio. Statement A gives the total volume, and Statement B gives the specific volume of water.

AI explanation

The initial ratio of milk to water of 2:1 means that if the total volume is known, the exact amounts of milk and water can be calculated. Statement A gives the total volume as 60 litres, meaning there are 40 litres of milk and 20 litres of water; to reach a 1:2 ratio, the 40 litres of milk requires 80 litres of water, so 60 litres must be added. Statement B independently gives the initial water as 20 litres, which establishes the initial mixture is 60 litres using the 2:1 ratio, and the same calculation applies. The result is Both statements are sufficient independently.

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