Mixture & Alligation

JKSSB Class-IV & MTS · Mathematics · 31 practice questions with answers and explanations: 8 Easy, 11 Medium, 12 Hard.

Sample questions

Sample Easy question 1

A 50-litre mixture contains milk and water in the ratio 4:1. Find the quantity of water.

  1. 8
  2. 9
  3. 10
  4. 12
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Answer: C. Water = (1/5) × 50 = 10 litres.

Sample Medium question 2

In what ratio should tea worth Rs. 20/kg be mixed with tea worth Rs. 30/kg to get a mixture worth Rs. 24/kg?

  1. 2:3
  2. 3:2
  3. 1:2
  4. 4:5
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Answer: B. By alligation: (30-24):(24-20) = 6:4 = 3:2.

Sample Hard question 3

Three glasses of equal capacity contain mixtures of milk and water in ratios 3:1, 2:1, and 1:1 respectively. If all three are mixed together, find the resulting ratio of milk to water.

  1. 23:13
  2. 25:13
  3. 23:15
  4. 21:13
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Answer: A. Taking each glass as 12 units: glass 1 has 9 milk and 3 water, glass 2 has 8 milk and 4 water, glass 3 has 6 milk and 6 water. Total milk = 9+8+6 = 23, total water = 3+4+6 = 13, giving a ratio of 23:13.

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