Multiple choice

Directions: Solve the following question and mark the best possible option. Consider three mixtures - the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4. These three mixtures of A, B, and C, respectively, are further mixed in the proportion 4 : 3 : 2. Then the resulting mixture has

  1. The same amount of water and liquid B

  2. The same amount of liquids B and C

  3. More water than liquid B

  4. More water than liquid A
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Calculate the amount of water and liquid in each mixture based on the 4:3:2 ratio. Mixture 1: 4/3 water, 8/3 A. Mixture 2: 3/4 water, 9/4 B. Mixture 3: 2/5 water, 8/5 C. Total water = 1.33 + 0.75 + 0.4 = 2.48. Liquid B = 2.25. Water > Liquid B.

AI explanation

Assume 9 litres of the final mixture for ease of calculation, meaning the individual mixtures used are 4 litres, 3 litres, and 2 litres. The amounts of water in these three parts are 4/3 litres, 3/4 litres, and 2/5 litres respectively. Adding these gives a total water amount of 1.333 + 0.75 + 0.4 = 2.483 litres. Because the total amount of liquid B in the final mixture is exactly 3 litres times 3/4, which equals 2.25 litres, the final mixture has more water than liquid B.

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