# Alligations and Mixtures Exercise to Practice for Competitive Exams

Alligations
and Mixtures

Q.1 A
vendor buys milk at a certain price, adds water and sells the adulterated milk
at the same rate as he bought it for. He makes a 30% profit. What is the % of
water he adds to the milk?

(A) 30%

(B) 15%

(C) 20%

(D) 60%

Ans . A

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Q.2 A
container having a liquid X is at a level of 4/7 its actual level. From this,
if x liters are remove and the container is 1/4th full. Finally, 35
liters are added to the container making it ½ full. The value of x and the
capacity of the container are respectively are……

(A) 45,
210

(B) 25,
140

(C) 45,
140

(D) 40,
210

Ans . C

Q.3 A
bottle of whisky contains ¾ of whisky and the rest water. How much of the
mixture must be taken away and substituted by equal quantity of water so as to
have half whisky and half water?

(A) 25%

(B) 45%

(C) 33
1/3 %

(D) 50%

Ans . C

Q.4 In
what ratio must 1: 4 mixtures of whisky and water be mixed with a 1: 1 mixture
to obtain a 2: 3 mixtures?

(A) 2:
3

(B) 3:
2

(C) 2:
1

(D) 1:
2

Ans . C

Q.5 10
liters are removed from a cask full of wine containing 60 liters and is then
filled with water. 10 liters of mixture is again withdrawn from the container.
What quantity of wine is now left in the cask?

(A) 41
2/3

(B) 27
3/6

(C) 40

(D) cannot
be determined

Ans . A

Q.6 A
vessel contains 12 liters of wine and another contains 4 liters of water. 3
liters are taken from each and transferred to the other. Then again, 3 liters
are taken from each vessel and transferred to the other. Ratio of wine to water
in the two vessels in ….

(A) the
first vessel is higher

(B) the
second vessel is higher

(C)
both is the same

(D)
none of these

Ans . C

Q.7 A
milk vendor purchases 33 litres of milk containing milk and water in the ratio
12: 1. He wants to make this a 11: 2 solutions of milk and water and sell the
entire quantity at the cost price How much of water needs to be added?

(A) 3
litres

(B) 2
9/11 litres

(C) 2.5
litres

(D)
None of these

Ans . D

Q.8
Nupur has 73 litres of wine in a drum. She replaces 3.65 litres of it with
water and keeps doing so till the time the concentration of wine is less than
85%. The minimum umber of operations that Nupur has to perform is…….

(A) 3

(B) 4

(C) 2

(D)
None of these

Ans . B

Q.9
Five litres are drawn from a ask full of wine and it is then filled with water.
Five litres of the mixture are drawn and the cask is again filled with water.
The quantity of wine now left in the cask to that of the water in it is in the
ratio 361: 39. How much does the cask hold?

(A) 400
litres

(B) 250
litres

(C) 100
litres

(D) 75
litres

Ans . C

Q.10 An
alloy of zinc, tin and copper contains 90% of copper, 7% of zinc and 3% of tin.
A second alloy of copper and tin only is melted with the first, and the mixture
contains 85% of copper, 5% of zinc and 10% of tin. Find the percentage of tin
in the second alloy.

(A)
27.5%

(B) 55%

(C)
22.5%

(D) 45%

Ans . A