CRE 3 - Removal & Replacement | Arithmetic - Mixture, Alligation, Removal & Replacement
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A container contains 60 litres of milk. From this container 6 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 (in liters)?
- (a)
46.34
- (b)
47.36
- (c)
48
- (d)
43.74
Solution
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ReportA milkman puts 120 litres of pure milk in a container. He removes 30 litres of the solution from the container and replaces it with an equal quantity of water. Thereafter, he again removes 30 litres of the solution from the container and replaces it with an equal quantity of water. What will be the concentration of milk in the container now?
If he repeats this process till the concentration of milk in the container falls below 30%, then how many times from the beginning does he carry out the process of replacing the solution in the container with water?
- (a)
50%, 4 times
- (b)
56.25%, 4 times
- (c)
56.25%, 5 times
- (d)
56.25%, 6 times
From a container containing pure ghee, 30 litres are drawn out and then replaced with dalda. This process is repeated once more. The resultant mixture contains ghee and dalda in the ratio 16 : 9. Initially, what was the quantity of pure ghee in the solution (in liters)?
- (a)
37.5
- (b)
60
- (c)
120
- (d)
150
A vessel is filled with liquid, 2 parts of which are water and 3 parts oil. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half oil?
- (a)
1/3
- (b)
1/4
- (c)
1/6
- (d)
1/5
A can contains a mixture of two liquids A and B is the ratio 5 : 3. When 8 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 5 : 7. How many litres of liquid A was contained by the can initially?
- (a)
10
- (b)
20
- (c)
15
- (d)
25
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)
1/3
- (b)
2/3
- (c)
2/5
- (d)
3/5
10 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of water is 16 : 65. How much wine did the cask hold originally?
- (a)
30 liters
- (b)
40 liters
- (c)
35 liters
- (d)
45 liters
From a container containing milk, 8 liters milk was drawn out and was replaced by water. Again 8 liters of mixture was drawn out and was replaced by the water. Thus, the quantity of milk and water in the container after these two operations is 9 : 16. The quantity of mixture is:
- (a)
25
- (b)
26
- (c)
20
- (d)
31
Nine litres are drawn from a vessel full of wine and it is then filled with water; 9 litres of the mixture are drawn and the vessel is again filled with water. If the quantity of wine now in the vessel be to the quantity of water in it as 16 : 9, how much does the vessel hold?
- (a)
40 liters
- (b)
50 liters
- (c)
45 liters
- (d)
42 liters
From a container, full of pure alcohol, 20% is replaced by water and this process is repeated two more times. At the end of third operation, the quantity of pure alcohol reduces to
- (a)
40%
- (b)
50%
- (c)
51.2%
- (d)
58.8%