Multiple choice

The Concentration of milk in a container which is having 80 quarts of 80% concentrated milk is reduced by adding X quarts of water. What is the value of X? (1) The concentration changed to 64%. (2) The volume of content in the container is increased by 25%.

  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 statements TOGETHER are sufficient, but NEITHER statement 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
D Correct answer
Explanation

Statement 1: 80 * 0.8 = 64. New volume = 64 / 0.64 = 100. Water added = 100 - 80 = 20. Sufficient. Statement 2: Volume increased by 25% = 80 * 1.25 = 100. Water added = 100 - 80 = 20. Sufficient.

AI explanation

Using statement one, 80 quarts at 80 percent concentration holds 64 quarts of milk. Adding X quarts of water makes a total of 80 plus X quarts, so 64 divided by (80 plus X) equals 0.64, which solves to X equals 20. Using statement two, an increase of 25 percent means the added water X is 25 percent of the original 80 quarts, so X equals 20. Since the value of X can be found using either statement alone, each statement alone is sufficient.

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