Mixture and Alligation Questions
Mixture and Alligation Questions is an essential part for Competitive Exams like Banking, SSC and Railways Exams. Below given trick will help you all in solving the question in minimum time.
Mixture and Alligation Practice Questions with Answers are covered on this page for preparation of various competitive exams such as SSC/Bank etc By solving these 55+ Mixture and Alligation Questions, candidates can know the basic concepts and tricks applied for solving these types of questions.
Mixtures and Alligations FormulasIn a mixture of A and B present in a ratio of 3 : 2, we can say that the concentration of A is 3/5 and that of B is 2/5. Let p1, p2 and p be the concentrations of first, second and final mixtures respectively. And q1, q2 and q be their quantities respectively. Then, the final concentration can be determined as: The above equation can also be written as: or Mixture and Alligation Questions Tricks: If 2 ingredients are mixed in a ratio and the cost price of the unit quantity of the mixture (mean price) is given, then |
Questions and Answers
Answers for these questions are available at the end.
Question 1) A mixture of 150 liters 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 liters
(B) 20 liters
(C) 30 liters
(D) 40 liters
Question 2) 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
Question 3) A merchant has 1000 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The Quantity sold at 18% profit is
(A) 400 kg
(B) 560 kg
(C) 600 kg
(D) 640 kg
Question 4) A can contains a mixture of two liquids A and B in 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
Question 5) Tea worth of Rs. 135/kg & Rs. 126/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.1700
(C) Rs. 175.50
(D) Rs. 180
Question 6) How many kilograms 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
Question 7) 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. 19.50
(B) Rs. 19
(C) Rs. 18
(D) Rs. 18.50
Question 8) The ratio of expenditure and savings is 3 : 2 . If the income increases by 15% and the savings increases by 6% , then by how much percent should his expenditure increases?
(A) 25
(B) 21
(C) 12
(D) 24
Question 9) 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
Question 10) The diluted wine contains only 8 liters of wine and the rest is water. A new mixture whose concentration is 30%, is to be formed by replacing wine. How many liters of mixture shall be replaced with pure wine if there was initially 32 liters of water in the mixture ?
(A) 4
(B) 5
(C) 8
(D) None of these
Question 11) The average weight of boys in a class is 30 kg and the average weight of girls in the same class is 20kg. If the average weight of the whole class is 23.25 kg, what could be the possible strength of boys and girls respectively in the same class?
(A) 14 and 16
(B) 13 and 27
(C) 17 and 27
(D) None of these
Question 12) Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.
(A) 1:3
(B) 2:3
(C) 3:4
(D) 4:5
Question 13) From a container, 6 liters milk was drawn out and was replaced by water. Again 6 liters of mixture was drawn out and was replaced by the water. Thus the quantity of milk and water in the container after these two operations is 9:16. The quantity of mixture is:
(A) 15
(B) 16
(C) 25
(D) 31
Question 14) 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
Question 15) A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained ?
(A) 5:3
(B) 1:4
(C) 4:1
(D) 9:1
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Question 16) 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
Question 17) The ratio of water and alcohol in two different containers is 2:3 and 4:5. In what ratio we are required to mix the mixtures of two containers in order to get the new mixture in which the ratio of alcohol and water be 7:5?
(A) 7:3
(B) 5:3
(C) 8:5
(D) 2:7
Question 18) In a mixture of milk and water the proportion of water by weight was 75%. If in 60 gm of mixture 15 gm water was added, what would be the percentage of water ? (Weight in gm)
(A) 80%
(B) 70%
(C) 75%
(D) 62%
Question 19) In a mixture of milk and water, there is only 26% water. After replacing the mixture with 7 liters of pure milk , the percentage of milk in the mixture become 76%. The quantity of mixture is:
(A) 65 liters
(B) 91 liters
(C) 38 liters
(D) None of these
Question 20) A milk man sells the milk at the cost price but he mixes the water in it and thus he gains 9.09%. The quantity of water in the mixture of 1 liter is :
(A) 83.33 ml
(B) 90.90 ml
(C) 99.09 ml
(D) Can’t be determined
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Question 21) From a container of wine, a thief has stolen 15 liters of wine and replaced it with same quantity of water.He again repeated the same process. Thus in three attempts the ratio of wine and water became 343:169. The initial amount of wine in the container was:
(A) 75 liters
(B) 100 liters
(C) 150 liters
(D) 120 liters
Question 22) In the 75 litres of mixture of milk and water, the ratio of milk and water is 4:1. The quantity of water required to make the ratio of milk and water 3:1 is
(A) 1 litre
(B) 3 litres
(C) 4 litres
(D) 5 litres
Question 23) A container contains 40 litres of milk.From this container 4 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) 26.34 litres
(B) 27.36 litres
(C) 28 litres
(D) 29.16 litres
Question 24) 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
Question 25) From a tank of petrol , which contains 200 liters of petrol, the seller replaces each time with kerosene when he sells 40 liters of petrol(or mixture). Everytime he sells out only 40 liters of petrol (pure or impure). After replacing the petrol with kerosene 4th time, the total amount of kerosene in the mixture is
(A) 81.92L
(B) 96L
(C) 118.08L
(D) None of these
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Question 26) The amount of water (in ml) that should be added to reduce 9 ml lotion, containing 50% alcohol, to a lotion containing 30% alcohol is ?
(A) 6 ml
(B) 11 ml
(C) 15 ml
(D) 9 ml
Question 27) A jar was full with honey. A person used to draw out 20% of the honey from the jar and replaced it with sugar solution. He has repeated the same process 4 times and thus there was only 512 gm of honey left in the jar, the rest part of the jar was filled with the sugar solution. The initial amount of honey in the jar was filled with the sugar solution. The initial amount of honey in the jar was:
(A) 1.25 kg
(B) 1 kg
(C) 1.5 kg
(D) None of these
Question 28) 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
Question 29) 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
Question 30) 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) 45L
(B) 36.45L
(C) 40.5L
(D) 42.5L
Question 31) A milkman claims to sell milk at its cost price, still, he is making a profit of 30% since he has mixed some amount of water in the milk. What is the % of milk in the mixture?
(A) 71.02%
(B) 76.92%
(C) 63.22%
(D) 86.42%
Question 32) A mixture of 70 litres of Fruit Juice and water contains 10% water. How many litres of water should be added to the mixture so that the mixture contains 12.5% water ?
(A) 2 lit
(B) 4 lit
(C) 1 lit
(D) 3 lit
Question 33) 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
Question 34) One type of liquid contains 25 % of benzene, the other contains 30% of benzene. A can is filled with 6 parts of the first liquid and 4 parts of the second liquid. Find the percentage of benzene in the new mixture.
(A) 27 %
(B) 26 %
(C) 29 %
(D) 21 %
Question 35) 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
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Question 36) A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture ?
(A) 5 lit
(B) 10 lit
(C) 15 lit
(D) 20 lit
Question 37) 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
Question 38) 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
Question 39) 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
Question 40) 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
Question 41) How much pepsi at Rs.6 a litre is added to 15 litre of ‘dew’ at Rs. 10 a litre so that the price of the mixture be Rs.9 a litre?
(A) 5
(B) 8
(C) 10
(D) None of these
Question 42) From a tank of petrol, which contains 200 litres of petrol, the seller replaces each time with kerosene when he sells 40 litres of petrol(or its mixture). Everytime he sells out only 40 litres of petrol(pure or impure). After replacing the petrol with kerosen 4th time, the total amount of kerosene in the mixture is
(A) 81.92L
(B) 96L
(C) 118.08L
(D) None of these
Question 43) If a man buys 1 lt 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%
Question 44) A tin a mixture of two liquids A and B in the proportion 4 : 1. If 45 litres of the mixture is replaced by 45 litres of liquid B, then the ratio of the two liquids becomes 2 : 5. How much of the liquid B was there in the tin? What quantity does the tin hold?
(A) 58 l
(B) 65 l
(C) 50 l
(D) 62 l
Question 45) 640 ml of a mixture contains milk and water in ratio 6:2. How much of the water is to be added to get a new mixture containing half milk and half water ?
(A) 360 ml
(B) 320 ml
(C) 310 ml
(D) 330 ml
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Question 46) A jar was full with honey. A person used to draw out 20% of the honey from the jar and replaced it with sugar solution. He has repeated the same process 4 times and thus there was only 512 gm of honey left in the jar, the rest part of the jar was filled with the sugar solution. The initial amount of honey in the jar was:
(A) 1.25 kg
(B) 1 kg
(C) 1.5 kg
(D) None of these
Question 47) An alloy contains gold and silver in the ratio 5 : 8 and another alloy contains gold and silver in the ratio 5 : 3. If equal amount of both the alloys are melted together, then the ratio of gold and silver in the resulting alloy is ?
(A) 113/108
(B) 105/103
(C) 108/115
(D) 103/113
Question 48) From a container of wine, a thief has stolen 15 litres of wine and replaced it with same quantity of water. He again repeated the same process. Thus, in three attempts the ratio of wine and water became 343 : 169. The initial amount of wine in the container was:
(A) 75 litres
(B) 100 litres
(C) 150 litres
(D) 120 litres
Question 49) In what ratio must wheat at Rs. 3.20/kg be mixed with wheat at Rs. 2.90/kg so that the mixture be worth Rs. 3/kg?
(A) 1:2
(B) 3:2
(C) 2:1
(D) 2:3
Question 50) In a mixture, the ratio of juice and water is 4 : 3. By adding 6 litre water the ratio of juice and water will be 8 : 7. What is the amount of juice in the original mixture ?
(A) 38 lit
(B) 96 lit
(C) 48 lit
(D) 52 lit
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Question 51) Two bottles contains mixture of milk and water. First bottle contains 64% milk and second bottle contains 26% water. In what ratio these two mixtures are mixed so that new mixture contains 68% milk?
(A) 3 : 2
(B) 2 : 1
(C) 1 : 2
(D) 2 : 3
Question 52) In a mixture of 240 lt. water is 20% and rest is Milk. What quantity of mixture should be taken out and replaced with water so that water becomes 40%?
(A) 60 lit
(B) 55 lit
(C) 45 lit
(D) 50 lit
Question 53) Ratio of water and milk in a container is 2 : 3. If 40 liter mixture removed from the container and same quantity of milk is added to it then the ratio of water to milk becomes 1 : 4. Find the initial quantity of mixture ?
(A) 75 lit
(B) 80 lit
(C) 85 lit
(D) 90 lit
Question 54) An alloy of copper and bronze weight 50g. It contains 80% Copper. How much copper should be added to the alloy so that percentage of copper is increased to 90%?
(A) 45 gm
(B) 50 gm
(C) 55 gm
(D) 60 gm
Question 55) A mixture contains 25% milk and rest water. What percent of this mixture must taken out and replaced with milk so that in mixture milk and water may become equal.
(A) 31.8%
(B) 31%
(C) 33.33%
(D) 29.85%
Question 56) In what ratio must a merchant mix two varieties of oils worth Rs. 60/kg and Rs. 65/kg, so that by selling the mixture at Rs. 68.20/kg, he may gain 10% ?
(A) 2:3
(B) 4:3
(C) 3:4
(D) 3:2
Question 57) In a 100 litre of mixture the ratio of milk and water is 6:4. How much milk must be added to the mixture in order to make the ratio 3 : 1?
(A) 85
(B) 60
(C) 55
(D) 45
Question 58) A container contains 120 lit of Diesel. From this container, 12 lit of Diesel was taken out and replaced by kerosene. This process was further repeated for two times. How much diesel is now there in the container?
(A) 88.01 lit
(B) 87.48 lit
(C) 87.51 lit
(D) 87.62 lit
Question 59) A milkman has 20 liters of milk. If he mixes 5 liters of water, which is freely available, in 20 liters of pure milk. If the cost of pure milk is Rs. 18 per litre, then the profit of the milkman, when he sells all the mixture at cost price, the profit % ?
(A) 22.5%
(B) 25%
(C) 20%
(D) 33.33%
Question 60) A bucket contains a mixture of two liquids A and B in the proportion 7: 5. If 9 litres of the mixture is replaced by 9 litres of liquid B, then the ratio of the two liquid becomes 7: 9. How much of the liquid A was there in the bucket ?
(A) 21 litres
(B) 15 litres
(C) 23 litres
(D) 18 litres
Answers:
Ans1) (A) | Ans21) (D) | Ans41) (A) |
Ans2) (B) | Ans22) (D) | Ans42) (C) |
Ans3) (C) | Ans23) (D) | Ans43) (A) |
Ans4) (C) | Ans24) (B) | Ans44) (C) |
Ans5) (C) | Ans25) (C) | Ans45) (B) |
Ans6) (D) | Ans26) (A) | Ans46) (A) |
Ans7) (C) | Ans27) (A) | Ans47) (B) |
Ans8) (B) | Ans28) (A) | Ans48) (D) |
Ans9) (B) | Ans29) (A) | Ans49) (C) |
Ans10) (B) | Ans30) (B) | Ans50) (C) |
Ans11) (B) | Ans31) (B) | Ans51) (A) |
Ans12) (B) | Ans32) (A) | Ans52) (A) |
Ans13) (A) | Ans33) (D) | Ans53) (B) |
Ans14) (B) | Ans34) (A) | Ans54) (B) |
Ans15) (D) | Ans35) (C) | Ans55) (C) |
Ans16) (C) | Ans36) (B) | Ans56) (D) |
Ans17) (B) | Ans37) (B) | Ans57) (B) |
Ans18) (A) | Ans38) (C) | Ans58) (B) |
Ans19) (B) | Ans39) (A) | Ans59) (B) |
Ans20) (A) | Ans40) (A) | Ans60) (A) |
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