Allegation & Mixture MCQs

A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?

  • (A) 1/3
  • (B) 1/4
  • (C) 1/5
  • (D) 1/7
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Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1:1:2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:

  • (A) Rs. 169.50
  • (B) Rs. 170
  • (C) Rs. 175.50
  • (D) Rs. 180
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A can contains a mixture of two liquids A and B in the ratio 7:5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many litres of liquid A was contained by the can initially?

  • (A) 10
  • (B) 20
  • (C) 21
  • (D) 25
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A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3:5?

  • (A) 4 litres, 8 litres
  • (B) 5 litres, 7 litres
  • (C) 6 litres, 6 litres
  • (D) 7 litres, 5 litres
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In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 per kg?

  • (A) 3:7
  • (B) 5:7
  • (C) 7:3
  • (D) 7:5
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A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25%. The percentage of water in the mixture is:

  • (A) 4%
  • (B) 6%
  • (C) 20%
  • (D) 25%
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How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per kg so that there may be a gain of 10% by selling the mixture at Rs. 9.24 per kg?

  • (A) 36 kg
  • (B) 42 kg
  • (C) 54 kg
  • (D) 63 kg
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A container contains 40 litres of milk. From this container, 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?

  • (A) 26.34 litres
  • (B) 27.36 litres
  • (C) 28 litres
  • (D) 29.16 litres
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A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced is:

  • (A) 2/3
  • (B) 1/3
  • (C) 2/5
  • (D) 3/5
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In what ratio must water be mixed with milk to gain 16% on selling the mixture at cost price?

  • (A) 1:6
  • (B) 6:1
  • (C) 2:3
  • (D) 4:3
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