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Mixture & Alligation Practice Questions Free static GK e-book
50 Important Mixture & Alligation Practice Questions
Q1) Sum of Rs.118 was shared among 50 boys and girls, each girl receives Rs.2.60 and boy receive
Rs.1.80. Find the number of girls.
a. 15
b. 25
c. 30
d. 35
Correct Answer: “d”
Q2) Some amount out of Rs. 10000 was lent at 6 % p.a. and the remaining at 4% p.a. If the total
simple interest from both the fractions in 5 years was Rs. 1500, then the ratio of the 2 different
amount is
a. 1:3
b. 3:1
c. 1:4
d. 3:2
Correct Answer: “a”
Q3) One alloy contains silver and copper in the ratio 5:1 and the other contains in the ratio 7:2
respectively. What weights of the 2 must be melted together, so as to make a 5 lbs mass with 80%
silver?
a. 5:3
b. 3:2
c. 2:3
d. 2:5
Correct Answer: “b”
Q4) Three vessels whose capacities are in the ratio of 6:3:2 are completely filled with milk and
water. The ratio of milk and water in the mixture 2:3 , 4:2 and 5:2. Taking ¼ of first, 1/2 of second
and ½ of third , new mixture kept in a new vessel. What is the percentage of water in the new
mixture ?
a. 42%
b. 42(2/14) %
c. 43%
d. 40%
Correct Answer: “b”
Mixture & Alligation Practice Questions Free static GK e-book
Q5) How many Kg of sugar costing Rs. 10kg must be mixed with 36Kg of sugar costing Rs.9 per Kg ,
so that there may be gain of 11% by selling the mixture of Rs.10.30 per Kg?
a. 10
b. 11
c. 12
d. 14
Correct Answer: “d”
Q6) A vessel contains 63 litres of a mixture of milk and water. The ratio of milk to water is 3:4. If
14 litres of mixture is taken out from that vessel and then 6 litres of water added to it, what will
be the percentage of milk in the final mixture?
a. 40%
b. 39%
c. 38%
d. 37%
Correct Answer: “c”
Q7) Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2.
If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:
a. Rs. 169.50
b. Rs. 170
c. Rs. 175.50
d. Rs. 180
Correct Answer: “C”
Q8) 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 Answer: “c”
Mixture & Alligation Practice Questions Free static GK e-book
Q9) A milkman mixes 6 litres of free tap water with 18litres of pure milk. If the cost of pure milk is
Rs.28 per litre the % Profit of the milkman when he sells all the mixture at the cost price is
a. 25%
b. 16.5%
c. 33(1/3)%
d. 16(1/3)%
Correct Answer: “c”
Q10) A jar containing 60litres of mixture of milk and water. The respective ratio of milk and water
in the ratio 7:5. From the jar 12litres of mixture was taken out and 6 litres of pure milk was added.
What is the respective ratio of milk and water after the final operation?
a. 17:10
b. 12:17
c. 13:19
d. 9:7
Correct Answer: “a”
Q11) A goldsmith has two qualities of gold, one of 10 carats and another of 5 carat purity. In what
proportion should he mix both to make an ornament of 8 carats purity?
a. 3:2
b. 3:7
c. 5:9
d. 7:11
Correct Answer: “a”
Q12) The milk and water in two vessels A and B are in the ratio 4:3 and 2:3 respectively. In what
ratio the liquids in both the vessels be mixed to obtain a new mixture in vessel c consisting half
milk and half water?
a. 7:5
b. 2:5
c. 10:7
d. 5:3
Correct Answer: “a”
Q13) 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 Answer: ‘b”
Mixture & Alligation Practice Questions Free static GK e-book
Q14) The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs. 20 per kg. If both Type 1 and Type
2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is:
a. Rs. 18
b. Rs. 18.50
c. Rs. 19
d. Rs. 19.50
Correct Answer: “a”
Q15) Two bottles A and B contain diluted Sulphuric acid. In bottle A, the amount of water is
double the amount of acid while in bottle B, the amount of acid is 3 times that of water. How
much mixture should be taken from each bottle in order to prepare 5 liters diluted Sulphuric acid
containing equal amount of acid and water?
a. 1,4
b. 3,2
c. 4,1
d. 2,3
Correct Answer: “b”
Q16) If 50% of 2:3 solution of milk and water is replaced with water, then the concentration of the
solution is reduced by
a. 25
b. 33
c. 50
d. 75
Correct Answer: “b”
Q17) Dhal worth Rs. 110 per kg and Rs. 95 per kg are mixed with a third variety in the ratio 1:1:2. If
the mixture is worth Rs. 115 per kg, the price of the third variety per kg will be
a. Rs.127.5
b. Rs.115.75
c. Rs.125
d. Rs.117.5
Correct Answer: “a”
Mixture & Alligation Practice Questions Free static GK e-book
Q18) A zookeeper counted the heads of the animals in a zoo and found it to be 100. When he
counted the legs of the animals he found it to be 340. If the zoo had either pigeons or elephants,
how many pigeons were there in the zoo?
a. 45
b. 30
c. 70
d. 50
Correct Answer: “b”
Q19) 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 the
water is 16 : 65. How much wine the cask hold originally?
a. 18 litres
b. 24 litres
c. 32 litres
d. 42 litres
Correct Answer: “b”
Q20) A mixture of 150 litres of wine and water contains 20% water. How much more water should
be added so that water becomes 25% of the new mixture?
a. 10 litres
b. 20 litres
c. 30 litres
d. 40 litres
Correct Answer: “a”
Q21) The ratio of petrol and kerosene in the container is 3:2 when 10 liters of the mixture is taken
out and is replaced by the kerosene, the ratio become 2:3. Then total quantity of the mixture in
the container is:
a. 25
b. 30
c. 45
d. cannot be determined
Correct Answer: “b”
Mixture & Alligation Practice Questions Free static GK e-book
Q22) A container contains 50 litres of milk. From that 8 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?
a. 24.52 litres
b. 29.63 litres
c. 28.21 litres
d. 25.14 litres
Correct Answer: “b”
Q23) A vessel is filled with liquid, 3 parts of which are water and 5 parts of 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 Answer: “c”
Q24) How much quantity of water should be mixed with 10 l of milk costing Rs 50 per litre so that
the resultant mixture is to be sold at Rs 44 per kg?
a. 9.5 litres
b. 2 litres
c. 1 7/11 litres
d. 1 4/11 litres
Correct Answer: “d”
Q25) “A” can containing 25 litres of mixture of milk and water has 80% milk in it. How much
quantity of the mixture be drawn out and replaced with water such that the new ratio of water to
milk becomes 1 : 3?
a. 1.5625 litres
b. 4.725 litres
c. 9.25 litres
d. 6.875 litres
Correct Answer: “d”
Mixture & Alligation Practice Questions Free static GK e-book
Q26) An alloy contains 4 parts bronze and 6 parts copper. How much part of mixture should be
drawn out and replaced with bronze so that the ratio of bronze to copper gets reversed in new
mixture?
a. 2/5
b. 1/3
c. ¼
d. 10/3
Correct Answer: “b”
Q27) A mixture of milk and water contains 25% water. 12 litres of this mixture is drawn out and
replaced with 5 litres of water. If the new ratio of water to milk becomes 2 : 5, what is the amount
of milk originally present in the mixture?
a. 82 litres
b. 75 litres
c. 95 litres
d. 84 litres
Correct Answer: “d”
Q28) A container filled with liquid containing 4 parts of water and 6 parts of milk. How much of
mixture must be drawn off and filled with water so that the mixture contains half milk and half
water.
a. ¼
b. 1/3
c. 1/6
d. 1/5
Correct Answer: “c”
Q29) How much water must be added to 50 litre of milk costing 10 rupees per litre so as to bring
the cost of milk to 8 rupees per litre.
a. 11.5
b. 12.5
c. 13.5
d. 14.5
Correct Answer: “b”
Mixture & Alligation Practice Questions Free static GK e-book
Q30) There are three vessels each of 20 litre capacity is filled with the mixture of milk and water.
The ratio of milk and water are 2:3, 3:4 and 4:5 respectively. All the vessels are emptied into
fourth vessel, then find the ratio of milk and water in the final mixture.
a. 401/543
b. 401/544
c. 401/545
d. 401/546
Correct Answer: “b”
Q31) Equal quantities of three mixtures of milk and water are mixed in the ratio 1:2, 2:3 and 3:4.
The ratio of water and milk in the mixture is?
a. 193 : 122
b. 97 : 102
c. 115 : 201
d. 147 : 185
Correct Answer: “a”
Q32) In a pot, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional
8 litres of milk, the pot would be full and ratio of milk and water would become 6 : 5. Find the
capacity of the pot ?
a. 11 lit
b. 22 lit
c. 33 lit
d. 44 lit
Correct Answer: “b”
Q33) 4 kg of a metal contains 1/5 copper and rest in Zinc. Another 5 kg of metal contains 1/6
copper and rest in Zinc. The ratio of Copper and Zinc into the mixture of these two metals:
a. 49 : 221
b. 39 : 231
c. 94 : 181
d. None of these
Correct Answer: “a”
Mixture & Alligation Practice Questions Free static GK e-book
Q34) A mixture containing milk and water in the ratio 3:2 and another mixture contains them in
the ratio 4:5. How many litres of the later must be mixed with 3 litres of the former so that the
resulting mixture may contain equal quantities of milk and water?
a) 3.3/4 litre
b) 4.1/2 litre
c) 5.2/3 litre
d) 5.2/5 litre
Correct Answer: “d”
Q35) 70 litres of a mixture of milk and water contains 20% water. How much water should be
added so that the mixture has 28% water?
a. 50/9 litre
b. 60/9 litre
c. 70/9 litre
d. 100/9 litre
Correct Answer: “c”
Q36) Rice worth Rs. 110 per kg and Rs. 95 per kg are mixed with a third variety in the ratio 1:1:2. If
the mixture is worth Rs. 115 per kg, the price of the third variety per kg will be
a. 117.5
b. 127.5
c. 137.5
d. 147.5
Correct Answer: “b”
Q37) There are three vessels each of 20 litre capacity is filled with the mixture of milk and water.
The ratio of milk and water are 2:3, 3:4 and 4:5 respectively. All the vessels are emptied into
fourth vessel, then find the ratio of milk and water in the final mixture.
a. 401/543
b. 401/544
c. 401/545
d. 401/546
Correct Answer: “b”
Q38) In two alloys copper and zinc are in the ratio of 1:4 and 3:1 respectively. 20 kg of first alloy
and 32 kg of second alloy and some pure zinc are melted together. An alloy is obtained in which
the ratio of copper and zinc was 3:5. Find the quantity of zinc melted.
a. 65/3 kg
b. 67/3 kg
c. 68/3 kg
d. 71/3 kg
Correct Answer: “c”
Mixture & Alligation Practice Questions Free static GK e-book
Q39) Milk and water are mixed in a vessel A as 4:1 and in vessel B as 3:2. For vessel C, if one takes
equal quantities from A and B, find the ratio of milk to water in C.
a. 1:9
b. 9:1
c. 3:7
d. 7:3
Correct Answer: “d”
Q40) From the 50 liters of milk, 5 liters of milk is taken out and after it 5 liters of water is added to
the rest amount of milk. Again 5 liters of milk and water is drawn out and it was replaced by 5
liters of water. If this process is continued similarly for the third time, the amount of milk left after
the third replacement:
a. 45 L
b. 36.45 L
c. 40.5 L
d. 42.5 L
Correct Answer: “b”
Q41) In a 40 litre mixture of alcohol & water, the ratio of alcohol and water is 5 : 3. If 20% of this
mixture is taken out and the same amount of water is added then what will be the ratio of alcohol
and water in final mixture?
a. 1:1
b. 2:1
c. 3:1
d. 1:2
Correct Answer: “a”
Q42) In a 48 ltr mixture, the ratio of milk and water is 5:3. How much water should be added in the
mixture so as the ratio will become 3:5?
a. 24 lit
b. 16 lit
c. 32 lit
d. 8 lit
Correct Answer: “c”
Q43) If a man buys 1 lit of milk for Rs.12 and mixes it with 20% water and sells it for Rs.15, then
what is the percentage of gain?
a. 25 %
b. 30 %
c. 17 %
d. 19 %
Correct Answer: “a”
Mixture & Alligation Practice Questions Free static GK e-book
Q44) There are two mixtures of honey and water in which the ratio of honey and water are as 1:3
and 3:1 respectively. Two litres are drawn from first mixture and 3 litres from second mixture, are
mixed to form another mixture. What is the ratio of honey and water in it ?
a. 111:108
b. 11:9
c. 103:72
d. None
Correct Answer: “b”
Q45) A man pays Rs. 6.40 per litre of milk. He adds water and sells the mixture at Rs. 8 per litre,
thereby making 37.5% profit. The proportion of water to milk received by the customers is
a. 1:10
b. 10:1
c. 9:11
d. 11:9
Correct Answer: “a”
Q46) The milk and water in two vessels A and B are in the ratio 4:3 and 2:3 respectively. In what
ratio the liquids in both the vessels be mixed to obtain a new mixture in vessel c consisting half
milk and half water?
a. 8:3
b. 6:7
c. 7:5
d. 11:7
Correct Answer: “c”
Q47) 8 litres are drawn from a flask containing milk and then filled with water. The operation is
performed 3 more times. The ratio of the quantity of milk left and total solution is 81/625. How
much milk the flask initially holds?
a. 10ltr
b. 20ltr
c. 30ltr
d. 40ltr
Correct Answer: “b”
Q48) Two vessels contain milk and water in the ratio of 7:3 and 2:3 respectively. Find the ratio in
which the contents of both the vessels must be mixed to get a new mixture containing milk and
water in the ratio 3:2.
a. 2:1
b. 2:3
c. 3:1
d. 3:5
Correct Answer: “a”
Mixture & Alligation Practice Questions Free static GK e-book
Q49) How many Kgs of rice A costing rupees 20 per kg must be mixed with 20 kg of rice B costing
rupees 32 per kg, so that after selling them at 35 rupees per kg, he gets a profit of 25%.
a. 10 kg
b. 40 kg
c. 24 kg
d. 25 kg
Correct Answer: “a”
Q50) A sample of x litre is replaced from a container containing milk and water in the ratio 2:3 by
pure milk. If the container hold 30 litres of the mixture e, and after the operation proportion of
milk and water is same. Find the value of X?
a. 4
b. 5
c. 6
d. 7
Correct Answer: “b”
Mixture and Alligation Practice Questions Free e-book
Question 51: 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?
1. 1/3
2. 1/4
3. 1/5
4. 1/7
Answer: 1/5
Question 52: Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in
the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg
will be:
Rs. 169.50
Rs. 170
Rs. 175.50
Rs. 180
Answer: Rs. 175.50
Question 53: 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?
10
20
21
25
Answer: 21
Question 54: 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?
4 litres, 8 litres
6 litres, 6 litres
5 litres, 7 litres
7 litres, 5 litres
Answer: 6 litres, 6 litres
Question 55: In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs.
20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?
3:7
5:7
7:3
7:5
Answer: 7 : 3
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