From a cask of wine, containing 64 liters, 8 liters are drawn out and the cask i

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Question
From a cask of wine, containing 64 liters, 8 liters are drawn out and the cask is filled up with water. If the same process is repeated a second, then a third time, what will be the number of liters of wine left in the cask?
Options
A. 42 1 kg 8
B. 42 3 kg 8
C. 48 7 kg 8
D. 42 7 kg 8

Correct Answer

42 7 kg 8

Explanation

Alligation or Mixture problems

Search Results

1.
3 glasses of capacity 2 liters, 5 liters and 9 liters contain mixture of milk and water with milk concentrations 90 %, 80 % and 70 % respectively. The contents of 3 glasses are emptied into a large vessel. Find the milk concentration and ratio of milk to water in the resultant mixture ?
Options
A. 121 : 39
B. 131 : 49
C. 39 : 121
D. 49 : 131

2.
A man buys milk at Rs. 5 a litre and mixes it with water. By selling the mixture at Rs. 4 a litre he gains 12¹/₂ % on his outlay. How much water did each litre of the mixture contain?
Options
A. 32 litre 45
B. 13 litre 45
C. 32 litre 13
D. None of these

3.
A man has whisky worth Rs. 22 a liter and another lot worth Rs. 18 a liter. Equal quantities of these are mixed with water to obtain a mixture of 50 liters worth Rs. 16 a liter. Find how much water the mixture contains?
Options
A. 5 litre
B. 10 litre
C. 15 litre
D. 20 litre

4.
Rs. 1000 is lent out in two parts, one at 6 % simple interest and the other at 8 % simple interest. The yearly income is Rs. 75. The sum lent at 8 % is ?
Options
A. Rs. 250
B. Rs. 500
C. Rs. 750
D. Rs. 600

5.
A jar full of whisky contains 40 % of 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 ?
Options
A. 2 5
B. 1 3
C. 2 3
D. 3 5

6.
A can contains a mixture of 2 liquids A and B in proportion 7 : 5 when 9 liters of mixture are drawn off and the can is filled with B, the proportion of A and B becomes 7 : 9. How many liters of liquid A was contained by the can initially?
Options
A. 25
B. 10
C. 20
D. 21

7.
15 liters of a mixture contains 20 % alcohol and the rest water. If 3 liters of water be mixed in it, the % of alcohol in the new mixture will be ?
Options
A. 17
B. 16 2 3
C. 18 1 2
D. 15

8.
A milk seller pays Rs. 500 per kiloliter for his milk. He adds water to it and sells the mixture at 56 P a liter, thereby making altogether 40 % profit. Find the proportion of water to milk which his customers receive?
Options
A. 1 : 4
B. 2 : 3
C. 1 : 5
D. 4 : 1

9.
How many bananas at 5 for Re. 1�20 should be mixed with 300 bananas at 6 for Rs. 2�10, so that they should all be worth Rs. 3�60 a dozen?
Options
A. 350
B. 280
C. 320
D. 250

10.
Fresh fruit contains 72 % water and dry fruits contains 20 % water. How much dry fruit from 100 kg of fresh fruit can be obtained?
Options
A. 32 kg
B. 33 kg
C. 30 kg
D. 35 kg

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