Mixture & Alligation

SSC CGL · Quantitative Aptitude · 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

A trader mixes two varieties of rice in the ratio 2:3, costing Rs. 15/kg and Rs. 20/kg respectively. Find the average cost per kg of the mixture.

  1. Rs. 17
  2. Rs. 17.5
  3. Rs. 18
  4. Rs. 18.5
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Answer: C. Average cost = (2×15 + 3×20)/5 = (30+60)/5 = 18.

Sample Hard question 3

A vessel has liquids A and B in the ratio 7:5. When 9 litres of the mixture is drawn off and replaced with B, the ratio becomes 7:9. Find the vessel's total capacity.

  1. 24
  2. 30
  3. 36
  4. 40
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Answer: C. Solving with total = 12x litres gives x = 3, so total capacity = 36 litres.

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