Mixture & Alligation

J&K Bank Banking Associate · Quantitative Aptitude · 86 practice questions with answers and explanations: 38 Easy, 42 Medium, 6 Hard.

Sample questions

Sample Easy question 1

30 kg of a commodity at ₹25 per kg is mixed with 20 kg of the same commodity at ₹50 per kg. What is the price per kg of the mixture (in ₹)?

  1. 25
  2. 35
  3. 37
  4. 33
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Answer: B. Total cost = 30×25 + 20×50 = ₹1750; per kg = 1750/50 = ₹35.

Sample Easy question 2

A mixture of 50 litres of milk and 20 litres of water is made. What is the ratio of milk to water?

  1. 7 : 2
  2. 50 : 70
  3. 2 : 5
  4. 5 : 2
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Answer: D. Milk : water = 50 : 20 = 5 : 2.

Sample Easy question 3

A mixture of 50 litres of milk and 5 litres of water is made. What is the ratio of milk to water?

  1. 50 : 55
  2. 11 : 1
  3. 1 : 10
  4. 10 : 1
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Answer: D. Milk : water = 50 : 5 = 10 : 1.

Sample Medium question 4

In what ratio should rice at Rs. 50/kg be mixed with rice at Rs. 70/kg to get a mixture worth Rs. 65/kg?

  1. 3:1
  2. 2:3
  3. 1:3
  4. 3:2
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Answer: C. By alligation: (70-65):(65-50) = 5:15 = 1:3.

Sample Medium question 5

In what ratio must a shopkeeper mix tea costing Rs. 20/kg with tea costing Rs. 30/kg to get a mixture costing Rs. 24/kg?

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

Sample Medium question 6

In what ratio must rice costing Rs. 40/kg be mixed with rice costing Rs. 60/kg to get a mixture costing Rs. 45/kg?

  1. 3:1
  2. 3:2
  3. 2:3
  4. 1:3
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Answer: A. By alligation: ratio = (60-45):(45-40) = 15:5 = 3:1.

Sample Hard question 7

Milk and water are in a vessel in the ratio 4:1. If 10 litres of the mixture is replaced with pure water, the ratio becomes 2:3. Find the initial quantity of the mixture.

  1. 15
  2. 22
  3. 20
  4. 18
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Answer: C. Solving with total = 5x litres gives x = 4, so the initial quantity was 20 litres.

Sample Hard question 8

A jar has liquids A and B in the ratio 4:1. When 10 litres of the mixture is removed and replaced with liquid B, the ratio becomes 2:3. Find the initial quantity of liquid A.

  1. 14
  2. 16
  3. 12
  4. 18
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Answer: B. Solving with total = 5x litres gives x = 4, so the initial quantity of A (4x) was 16 litres.

Sample Hard question 9

Two vessels contain milk and water in the ratios 2:3 and 5:3 respectively. In what ratio should quantities from the two vessels be mixed to get an equal (1:1) ratio of milk to water?

  1. 4:5
  2. 3:5
  3. 5:3
  4. 5:4
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Answer: D. Milk fractions are 0.4 and 0.625; by alligation for a target of 0.5, the ratio is (0.625-0.5):(0.5-0.4) = 5:4.

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