Mixtures and Alligation Questions

Multiple choice
  1. A

  2. B

  3. C

  4. D

  5. E

Reveal answer Fill a bubble to check yourself
C Correct answer
Multiple choice
  1. 3:2

  2. 2:3

  3. 3:5

  4. 1:2

  5. None of these

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Using the alligation rule: (60 - 48) / (48 - 40) = 12 / 8 = 3 / 2.

Multiple choice
  1. 28 liters

  2. 18 liters

  3. 25 liters

  4. 20 liters

  5. 31 liters

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total mixture = 200L. Water:Milk = 3:7. 25% of 200L = 50L. In 50L, water = (3/10) * 50 = 15L. After adding 10L of water, total water = 15 + 10 = 25L.

Multiple choice
  1. 22

  2. 21

  3. 27

  4. 50

  5. 35

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let A = 7x, B = 5x. Total = 12x. After drawing 9L, A = 7x - 7/12 * 9 = 7x - 5.25. B = 5x - 5/12 * 9 = 5x - 3.75. Adding 9L of B: B = 5x - 3.75 + 9 = 5x + 5.25. Ratio (7x - 5.25) / (5x + 5.25) = 7/9. 63x - 47.25 = 35x + 36.75. 28x = 84. x = 3. Initial A = 7 * 3 = 21.

Multiple choice
  1. 126 L

  2. 134 L

  3. 120 L

  4. 124 L

  5. 130 L

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let initial mixture be 6x (5x milk, 1x water). Removing 12L removes 10L milk and 2L water. Remaining: 5x-10 milk, x-2 water. Adding 12L water: 5x-10 milk, x-2+12 = x+10 water. Ratio (5x-10)/(x+10) = 3/1. 5x-10 = 3x+30. 2x = 40, x = 20. Total = 6x = 120L.

Multiple choice
  1. 7

  2. 8

  3. 6

  4. 21

  5. 9

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Initial mixture is 79.99 L. Removing 24.99% leaves 75% of the original volume, which is approximately 60 L. With 20.13% water, the milk is 47.93 L and water is 12.07 L. After adding x litres of water, the ratio of milk to water becomes 12:5, leading to the equation 47.93 / (12.07 + x) = 12/5, which solves for x approximately equal to 8.