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Q 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?

A)   1 3

B)   1 4

C)   1 5

D)   1 7

Correct Option - C

Explanation

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Q 2
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?

A)   36 kg

B)   42 kg

C)   54 kg

D)   63 kg

Correct Option - D

Explanation

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Q 3
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)   6 litres, 6 litres

C)   5 litres, 7 litres

D)   7 litres, 5 litres

Correct Option - B

Explanation

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Q 4
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?

A)   10

B)   20

C)   21

D)   25

Correct Option - C

Explanation

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Q 5
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

Correct Option - B

Explanation

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Q 6
8 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)   18 litres

B)   24 litres

C)   32 litres

D)   42 litres

Correct Option - B

Explanation