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### Arithmetic Aptitude :: Alligation or Mixture

1. 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?

2.  A. $$\frac { 1 } {3 }$$ B. $$\frac { 1 } {4 }$$ C. $$\frac { 1 } {5 }$$ D. $$\frac { 1 } {7 }$$

3. 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:

4.  A. Rs. 169.50 B. Rs. 170 C. Rs. 175.50 D. Rs. 180

5. A can contains a mixture of two liquids A and B is 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?

6.  A. 10 B. 20 C. 21 D. 25

7. 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?

8.  A. 4 litres, 8 litres B. 6 litres, 6 litres C. 5 litres, 7 litres D. 7 litres, 5 litres

9. 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 kg?

10.  A. 3 : 7 B. 5 : 7 C. 7 : 3 D. 7 : 5

11. 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:

12.  A. 4% B. 6$$\frac { 1 } { 4 }$$% C. 20% D. 25%

13. How many kilogram 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?

14.  A. 36 kg B. 42 kg C. 54 kg D. 63 kg

15.  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?
16. A.
 26.34 litres
B.

27.36 litres

C.

28 litres

D.

29.16 litres

17.  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:
18.  A. $$\frac { 1 } { 3 }$$ B. $$\frac { 2} { 3 }$$ C. $$\frac { 2} { 5}$$ D. $$\frac { 3} { 5}$$

19. In what ratio must water be mixed with milk to gain 16 $$\frac {2 } { 3 }$$% on selling the mixture at cost price?

20.  A. 1 : 6 B. 6 : 1 C. 2 : 3 D. 4 : 3