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Quants Quiz: (Alligation and Mixture)

1. Two vessels contain spirit and water mixed respectively in the ratio of 1:3 and 3:5. Find the ratio in  which these are to be mixed to get a new mixture in which the ratio of spirit to water is 1:2.
  1.  2 : 1
  2.  3 : 1
  3.  1 : 2
  4.  1 : 3
  5.  None of these
2. A dairy man pays Rs. 6.4 per litre of milk. He adds water and sells the mixture at Rs. 8 per litre, thereby making 37.5% profit. Find the proportion of the water to that of the milk received by the customers.
  1. 1:15
  2. 1:10
  3. 2:10
  4. 1:12
  5. None of these
3. A jar contains a mixture of two liquids A and B in the ratio 4:1. When 10 litres of mixture is taken out and 10 litres of liquid B is poured into the jar, the ratio becomes 2:3. How many litres of liquid A was contained in the jar?
  1. 20 litres
  2. 15 litres
  3. 16 litres
  4. 10 litres
  5. 12 litres
4. One type of liquid contains 25% of milk, the other contains 30% of milk. A container is filled with 6 parts of the first liquid and 4 parts of the second liquid. The percentage of milk in the mixture is:
  1. 30%
  2. 27%
  3. 31%
  4. 33%
  5. None of these
5. A solution of sugar has 15% sugar. Another solution has 5% sugar. How many litres of the second solution must be added to 20 litres of the first solution to make a solution of 10% sugar?
  1. 10
  2. 5
  3. 12
  4. 15
  5. 20
6. How many kilograms of sugar worth Rs. 3.60 per kg should be mixed with 8 kg of sugar worth Rs. 4.20 per kg, such that by selling the mixture at Rs. 4.40 per kg, there may be a gain of 10%?
  1.  6 kg
  2.  3 kg
  3.  2 kg
  4.  4 kg
  5.  None of these
7. In what ratio should water be mixed with soda costing Rs. 12 per litre so as to make a profit of 25% by selling the diluted liquid at Rs. 13.75 per litre?
  1.  10 : 1
  2.  11 : 1
  3.  1 : 11
  4.  12 : 1
  5.  None of these
8. A mixture pf 20 litres of milk and water contains 10% water. How much water should be added to it to increase of water to 25%?
  1.  2 L
  2.  3 L
  3.  4 L
  4.  2.5 L
  5.  None of these
9. A bottle contains three-fourths of milk and the rest water. How much of the mixture must be taken away and replaced by an equal quantity of water so that the mixture has half milk and half water?
  1.  25%
  2.  33 1/3%
  3.  45%
  4.  50%
  5.  None of these
10. An alloy of gold and silver weighs 50g. It contains 80% gold. How much gold should be added to the alloy so that percentage of gold is increased to 90?
  1.  60g
  2.  70g
  3.  50g
  4.  55g
  5.  None of these
Answers:
  1. 3
  2. 2
  3. 3
  4. 2
  5. 5
  6. 4
  7. 3
  8. 3
  9. 2
  10. 3
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