Table of Contents
MIXTURE & ALLIGATION
(Set – 5)
10) In three classes X, Y and Z; an algebra test is conducted. The average score of class X is 83.
The average score of class Y is 76 and the average score of class Z is 85. The average score of class
X & Y is 79 and the average score of class Y & Z is 81. What is the average score of the classes X, Y
and Z.?
(1) 82.5 (2) 81.5 (3) 90.5 (4) 92.5 (5) None of these
1) A 20 litres mixture contains milk and water in the respective ratio of 3 : 2. Then 10 litres of the
mixture is removed and replaced with pure milk and the operation is repeated once more. At the
end of the two removals and replacements, what is the ratio of milk and water in the resultant
mixture respectively?
(1) 9 : 1 (2) 5 : 3 (3) 3 : 1 (4) 2 : 3 (5) None of these
2) A seven litre venal contain a mixture of milk and water, milk being 49% of total volume. A few
litre of the mixture is taken out and replaced by equal amount of water. This process is repeated
twice and now the milk is 9% only. How many litre of the mixture is taken out each time?
(1) 8 (2) 6 (3) 4 (4) 5 (5) None of these
3) 18 litres of pure water was added to a vessel containing 80 litres of pure milk. 49 litres of the
resultant mixture was then sold and some more quantity of pure milk and pure water was added
to the vessel in the ratio 2:1. If the respective ratio of milk and water in the vessel was 4:1, what
was the quantity of pure milk added in the vessel?
(1) 8 (2) 6 (3) 4 (4) 5 (5) None of these
4) A vessel contains a mixture of milk and water in the ratio of 14 : 3. Now, 25.5 liters of the mixture
is taken out from the vessel and 2.5 litres of pure water and 5 litres of pure milk is added to
the mixture. If the resultant mixture contains 20% water, what was the initial quantity of mixture
in the vessel before the replacement? (in litres)
(1) 65 (2) 80 (3) 95 (4) 68 (5) None of these
5) A zookeeper counted the heads of the animals in a zoo and found it to be 80. When he counted
the legs of the animals he found it to be 260. If the zoo had either pigeons or horses, how
many horses were there in the zoo? In the zoo, each horse had four legs and each pigeon had
two legs
(1) 40 (2) 60 (3) 45 (4) 50 (5) None of
these
Mixture and Alligation
(Set – 5)
6) A jar contains mixture of syrup A and B in 3:2.The volume of a content is increased by 50% by
adding syrup B to it. From the resultant solution 30 liter is withdrawn and replaced with syrup B.
The final ratio of A & B syrup is 3:7.find original volume of the solution.
(1) 70 (2) 60 (3) 40 (4) 80 (5) None of these
7) When 1 liter of water is added to a mixture of milk and water, the new mixture contains 20%
milk. When 1 liter of milk is added to the new mixture the resulting mixture contains 33 % milk.
The percentage(%) of milk in the original mixture was?
(1) 20% (2) 30% (3) 25% (4) 35% (5) None of these
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