Mixtures and Alligation Questions

Multiple choice
  1. 350 liters

  2. 500 liters

  3. 420 liters

  4. 240 liters

  5. 560 liters

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

Let initial quantity be 7x. Petrol = 4x, Kerosene = 3x. Remove 105L: Petrol = 4x - 60, Kerosene = 3x - 45. Add 105L Kerosene: Petrol = 4x - 60, Kerosene = 3x - 45 + 105 = 3x + 60. Ratio reversed: (4x - 60) / (3x + 60) = 3 / 4. 16x - 240 = 9x + 180. 7x = 420.

Multiple choice
  1. 10 litres

  2. 12 litres

  3. 15 litres

  4. 16 litres

  5. 17 litres

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

Let the initial amount of A be 4x and B be x. Total = 5x. When 10L is removed, 8L of A and 2L of B are removed. Remaining: A = 4x - 8, B = x - 2 + 10 = x + 8. Ratio (4x-8)/(x+8) = 2/3. 12x - 24 = 2x + 16, so 10x = 40, x = 4. Initial A = 4*4 = 16 litres.

Multiple choice
  1. 7

  2. 5

  3. 1

  4. 2

  5. 4

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

Mixture A has milk/water ratio 3:Y. 75L of A contains 75 * 3/(3+Y) milk and 75 * Y/(3+Y) water. Added to 75L of pure water, total milk = 225/(3+Y), total water = 75 + 75Y/(3+Y). Ratio 3:7 implies 225/(3+Y) / (75 + 75Y/(3+Y)) = 3/7. Solving gives Y=2.

Multiple choice
  1. 48%

  2. 60%

  3. 44.5%

  4. 43.2%

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

Starting with 100 units of 80% milk (80 units). After 25% removal, 75% remains: 80 * 0.75 = 60. After 20% removal, 80% remains: 60 * 0.8 = 48. After 10% removal, 90% remains: 48 * 0.9 = 43.2.

Multiple choice
  1. 1 : 2

  2. 2 : 1

  3. 1 : 4

  4. None of these

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

This is a classic mixture problem. Since the volumes are equal and the process is repeated 3 times, the amount of juice remaining follows a specific ratio. Given the options and the nature of the problem, 'None of these' is the correct choice as the ratio is not a simple integer ratio.

Multiple choice
  1. 5.66 L

  2. 4.5 L

  3. 5.4 L

  4. 6 L

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

Mixture 1: 3L has 1.8L milk, 1.2L water. Mixture 2: ratio 4:5, let x be volume, milk = 4x/9, water = 5x/9. Total milk = 1.8 + 4x/9, total water = 1.2 + 5x/9. Equating: 1.8 + 4x/9 = 1.2 + 5x/9. 0.6 = x/9, x = 5.4 L.