Cluster · Mixtures and Alligations
| Question | Category | Subtype | Difficulty | |
|---|---|---|---|---|
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Sanjay has a mixture of juice and water in the ratio of 3:1. He mixed 6 litres of water due to which the ratio changed to 7:3. Find the initial quantity of the mixture. pipeline-305996
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english | — | intermediate | |
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A container contains a mixture of milk and water in the ratio of 4 : 1. Tarun, a milkman adds 2 litres of water, and the ratio becomes 8 : 3. What is the quantity of water in the final mixture? pipeline-305994
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english | — | intermediate | |
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A container is filled with a mixture, 4 parts of which is water and 9 parts are syrup. How much mixture must be drawn off and replaced with water so that the ratio of water and syrup be 1 : 1? pipeline-297057
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english | — | intermediate | |
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Quantity I: In a 40 litre mixture of acid and water, the acid is only 10% then find amount of acid to be added to make acid concentration 50% in the mixture. Quantity II: In a 100 litre mixture of petrol and kerosine, the kerosine is only 2% then find the amount of kerosine to be added to make kerosine concentration 30% in the mixture. pipeline-51201
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english | — | intermediate | |
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A vessel contains a mixture of milk and water in which 40% of the mixture is water. If 15 liters of water and 30 liters of milk are added to the mixture, then the quantity of milk becomes 60% more than that of water. Find the initial quantity of the mixture? pipeline-501941
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english | — | intermediate | |
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In a mixture of orange juice and water, the quantity of orange juice was 4 litres more than that of water. Rajesh added 30 litres of the second mixture ( which has a ratio of orange juice to water 3:2) in the first mixture and the ratio of orange juice to water becomes 12:7. What is the total quantity of water in the final mixture?
pipeline-306106
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english | — | intermediate | |
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Bromine Dioxide of 500 ml is kept inside a container. By the use of a beaker of 60 ml the solution is taken out and an equal quantity (60ml) of water is filled in the container. This process is repeated 2 times then find the ratio of Bromine Dioxide taken out from the container to the Bromine Dioxide left in the container. pipeline-331702
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english | — | intermediate | |
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Dilip Kumar, has a 70 litres mixture of milk and water in the ratio of 9 : 5. How much water should be added so that the ratio becomes 5 : 7? pipeline-305991
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english | — | intermediate | |
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A vessel contains x liters of milk and 60 liters of water and then x/3 liters of water is added to the vessel, then the quantity of milk and water becomes equal. Find the initial quantity of mixture in the vessel. pipeline-502930
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english | — | intermediate | |
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Bottle A contains the mixture of milk and water in the ratio of 5:4 and bottle B contains the mixture of oil and water in the ratio of 4:3. If both bottle mixtures of milk and water are mixed together in the ratio of 3:2, then find the ratio of milk and water in the final solution? pipeline-451434
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english | — | intermediate | |
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There are three different mixtures of milk and water P, Q and R. Find the ratio in which all three mixtures must be mixed together so that the average price of the resultant mixture is Rs. 62 per litre. Statement I: The price of the mixture P and Q is Rs. 40 per liter and Rs. 75 per liter, respectively. Statement II: The price of 15 liters of mixture R is Rs. 900. pipeline-470812
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english | — | intermediate | |
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How much milk is required to be added to increase the concentration of milk in the mixture to 40%? Statement I: In 45 liters of the mixture, 10 liters of milk is present. Statement II: The other liquids in the mixture are water and alcohol in a ratio 1 : 2. pipeline-51176
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english | — | intermediate | |
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A container contains a mixture of alcohol and water. If 7 litres of water is added to the mixture, the ratio of water to alcohol becomes 11 : 12. If 6 litres of alcohol is added to the mixture, the ratio of alcohol to water becomes 9 : 7. Find the ratio of alcohol and water in the initial mixture respectively. pipeline-451297
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english | — | intermediate | |
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A dishonest milkmaid mixed 1 liter of water for every 4 liters of milk and thus made up 45 liters of the mixture. Finally, she poured 15 liters of pure milk into the mixture. What is the milk-to-water ratio in the final mixture? pipeline-594872
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english | — | intermediate | |
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Jar B contains a mixture of juice and water in the ratio of 4 : 3, respectively. Another mixture of juice and water is added to Jar B, and the ratio of juice and water in the resultant mixture changes. What was the initial quantity of mixture present in Jar B? I. The ratio of juice and water in the mixture that was added to Jar B was 3 : 2, respectively. II. The ratio of the new quantities of juice and water in Jar B was 7 : 5, respectively. The quantity of water in the mixture added to Jar B was 10 litres. pipeline-715367
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english | — | intermediate | |
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Find the amount of C in a mixture of A, B, and C. Statement I: The total amount of mixture is 1300 ml. Statement II: The ratio of A and B is 1 : 3. Statement III: The Quantity of A in the mixture is 200 ml. pipeline-52052
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english | — | intermediate | |
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A jug contains a mixture of milk and water. The ratio of milk to water is 2 : 3. Find the quantity of milk in the jug. Statement A: The total quantity of the mixture in the jug is 50 liters. Statement B: The quantity of water in the jug is 30 liters. pipeline-690899
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english | — | intermediate | |
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In a mixture, the ratio of a chemical X and water is 15 : 9. When 48 litres of this mixture is replaced with water, the ratio becomes 11 : 13. Find the quantity of water after replacement. pipeline-1305954
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mp_police | — | intermediate | |
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A 40-litre mixture contains 25% alcohol and 75% water. If 10 litres of water are added to the mixture, the percentage of alcohol in the new mixture is: pipeline-1306058
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mp_police | percentage | intermediate | |
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The ratios of acid and water in vessels A and B are 4: 5 and 7: 5, respectively. In what ratio should the contents of A and B be mixed to get a solution containing 50% acid? pipeline-1305656
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mp_police | — | intermediate | |
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There are two vessels A and B. Vessel A contains 105 liters of pure milk and vessel B contains 85 liters of pure water. 5L of milk is taken out from vessel A and poured into vessel B. Then, 9 liters of mixture (milk and water) is taken out from vessel B and poured into vessel A. What is the ratio of the quantity of milk in vessel A to the quantity of pure water in vessel B? pipeline-1300185
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mp_police | — | intermediate | |
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A jar contains a mixture of 175 ml of water and 700 ml of alcohol. Gopal removes 10% of the mixture and replaces it with the same amount of water. The process is repeated once again. What is the percentage of water in the mixture now? pipeline-1292897
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mp_police | percentage | intermediate | |
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A mixture contains milk and water in the ratio 5: 2. If 4 liters of water is added to the mixture, the ratio becomes 5: 4. What is the quantity of milk in the given mixture? pipeline-1290633
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mp_police | — | intermediate | |
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In a solution of water and milk, the quantity of milk is double the quantity of water. To pass the quality standards, the solution must contain 90% milk in it. If the volume of solution is v, then how much pure milk in litre is to be added to the solution to pass the quality standard? pipeline-1291609
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mp_police | — | intermediate | |
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Two vessels containing 35 litres and 47 litres of solution have milk and water in the ratio of 17 : 18 and 28 : 19 respectively. If the solutions are mixed with each other, then how many litres of water have to be added to the final solution to make the resulting solution in the ratio 1 : 1? pipeline-1288142
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mp_police | — | intermediate | |
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3L of milk are drawn from a container containing 30L of milk. It is replaced by water and the process is repeated 2 times more. What is the ratio of milk to water at the end ? pipeline-1286123
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mp_police | — | intermediate | |
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A vessel contains a solution of acid and water in the ratio 5 : 7. When 9 litres of the solution are taken out and the vessel is filled with an equal quantity of acid, the ratio of acid and water in the vessel becomes 9 : 7. How many litres of solution were there in the vessel initially? pipeline-1269975
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mp_police | — | intermediate | |
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A 24 kg mixture of sugar and salt contains sugar and salt in ratio 3:2 is mixed with 32 kg of sugar and salt mixture in ratio 4:1, final ratio of sugar and salt mixture is? pipeline-435865
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bihar_police | — | intermediate | |
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A mixture of 80 litres of kerosene and petrol has 80% petrol. How much quantity (in litre) of kerosene should be added to this mixture so that concentration of petrol is 55%? pipeline-426039
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bihar_police | — | intermediate | |
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385 ml of a chemical solution containing chemicals A and B in the ratio 4 : 3 is added to 1040 ml of another solution which contains chemicals A and B in the ratio 7 : 6. What is the ratio of chemical A and B in the final solution mixture? pipeline-1171777
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up_police | — | intermediate | |
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A 558 litre of mixture contains milk and water in the ratio 15:16. How much milk must be added to the mixture so that it contains milk and water in the proportion of 3:2? pipeline-1171941
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up_police | — | intermediate | |
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A mixture contains milk and water in a ratio of 9: 5. When 6 liters of water is added to this mixture, the ratio of milk and water becomes 9: 7. Find the quantity of milk in the mixture. pipeline-1148168
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up_police | — | intermediate | |
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Two buckets are filled with milk and water in the ratios of 4:1 and 7:2. If these mixtures are mixed in the ratio of 1:5, respectively, then the resulting mixture will have water and milk in the ratio of: pipeline-1154692
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up_police | — | intermediate | |
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In what ratio must 45% milk be mixed with 25% grape juice so as to get a mixture of 40% grape juice? pipeline-1142380
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up_police | — | intermediate | |
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A bucket contains a mixture of milk and water in the proportion of 7 : 5. If 9 litres of milk is replaced by water, then the ratio becomes 7 : 9. How much mixture was there in the bucket initially? pipeline-1139703
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up_police | — | intermediate | |
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There is a 32 l mixture of milk and water. The ratio of milk and water in this mixture is 5 : 3. How many liters of water should be added to this mixture so that the resultant mixture has 50% water in it? pipeline-1142036
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up_police | — | intermediate | |
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In a mixture, milk and water are in ratio of 1:4. Some milk is added to the mixture because this ratio of milk and water becomes 2:1. How much milk was added as a percentage of the initial mixture? pipeline-1145279
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up_police | percentage | intermediate | |
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A mixture contains acid and water in the ratio of 5 : 3. If 12 litres of water is added to it. Then the ratio of acid and water becomes 5: 6. What is the quantity of acid in the mixture? pipeline-1115956
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up_police | — | intermediate | |
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In a mixture of 280 litres, milk and water are in the ratio 4:3. If the ratio is required to be 1:2, then how many litres of water is to be added? pipeline-1170506
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up_police | — | intermediate | |
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Half litre of a solution contains 15% of alcohol. To change the alcohol concentration to 50%, find the quantity of alcohol to be mixed. pipeline-1170192
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up_police | — | intermediate | |
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A container contains two liquids, X and Y, in the ratio 5 : 3. When 8 liters of the mixture is drawn off, and the container is filled with liquid Y, the ratio of X to Y becomes 2 : 3. How many liters of liquid X was in the container Initially ? pipeline-1156824
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up_police | — | intermediate | |
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A bucket contains liquid A and B in the ratio 17:18. 140 litres of the mixture is taken out and filled with 140 litres of B. Now the ratio changes to 7:8. Find the quantity of liquid B initially. (In litres) pipeline-1158138
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up_police | — | intermediate | |
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A bucket contains liquid A and B in the ratio 15 : 16. 124 litres of the mixture are taken out and filled with 124 litres of B. Now the ratio changes to 9:10. Find the quantity of liquid B initially. (In pipeline-1157343
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up_police | — | intermediate | |
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6 litres are drawn from a cask full of wine and are then filled with water. This operation is performed once more. The ratio of the quantity of wine now left in the cask to that of water is 49 : 15. How much wine did the cask hold originally? (In litres) pipeline-1131706
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up_police | — | intermediate | |
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In 65 litres of a mixture of kerosene and petrol, the ratio of kerosene to petrol is 3 : 2. In order to make this ratio 4 : 5, how many litres of petrol should be added to the given mixture? pipeline-1135271
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up_police | — | intermediate | |
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A 40-litre mixture contains 25% alcohol and 75% water. If 10 litres of water are added to the mixture, the percentage of alcohol in the new mixture is: pipeline-1116096
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up_police | percentage | intermediate | |
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4 litres are drawn from a cask full of wine and is then filled with water. This operation is performed once more. The ratio of the quantity of wine now left to that of the water is 16 : 9. How much wine the cask hold originally? (In litres) pipeline-1112201
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up_police | — | intermediate | |
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A drum contains 40 liters of milk. One-fourth of the milk is taken out and replaced with water. Then, half of the mixture is taken out and replaced with water. What is the respective quantity of milk and water left in the drum? pipeline-1114970
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up_police | — | intermediate | |
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A vessel contains a mixture of milk and water in the ratio of 2 : 1. If 30 liters of mixture is taken out and the same quantity of water is added to the mixture, then the ratio of milk to water becomes 5 : 4. Find the initial quantity of mixture. pipeline-1036275
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rpf | — | intermediate | |
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A vessel contains 75 liters of pure milk. Y liters of milk is taken out and replaced with water. If this process is repeated one more time, then 36% of water is left in the vessel. Find the value of Y. pipeline-726779
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rpf | — | intermediate |