Multiple choice

Beaker I contains water and liquid A in the ratio 1 : 3, whereas Beaker II contains water and liquid B in the ratio 1 : 2. The contents of both the beakers are mixed into a third beaker III in the ratio 3 : 4 by volume. Which of the following is true regarding the contents of beaker III?

  1. The quantity of water is more than the quantity of liquid A.

  2. The quantity of liquid B is less than the quantity of water.

  3. The quantity of liquid A is more than the quantity of liquid B.

  4. None of these.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Beaker I: W:A = 1:3 (total 4 parts). Beaker II: W:B = 1:2 (total 3 parts). Mixed in ratio 3:4. Let volumes be 3 and 4. Beaker I: Water = 3 * 1/4 = 0.75, A = 3 * 3/4 = 2.25. Beaker II: Water = 4 * 1/3 = 1.33, B = 4 * 2/3 = 2.67. Total Water = 2.08, A = 2.25, B = 2.67. A < B, W < A, W < B. None of the provided statements A, B, or C are true.

AI explanation

Assume Beaker I has 12 units and Beaker II has 16 units, giving a 3 to 4 mixture ratio. Beaker I contributes 3 units of water, 9 units of liquid A, and 0 units of liquid B. Beaker II contributes 16/3 units of water, 0 units of liquid A, and 32/3 units of liquid B. In Beaker III, water is 25/3 units, liquid A is 9 units, and liquid B is 32/3 units. Because liquid A is more than liquid B and liquid B is more than water, none of the first three statements are true. The result is None of these.

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