Cluster · Mixtures and Alligations
| Question | Category | Subtype | Difficulty | |
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There are two mixtures of milk and water kept in container A and container B. Find the proportion of the mixture of milk and water in container C such that these two mixtures are be mixed in the ratio 4 : 5. Statement I. Milk and Water present in the ratio 4 : 7 in container A Statement II. Milk and Water present in the ratio 5 : 3 in container B Statement III. The volume of the containers is same pipeline-1319008
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defence | — | intermediate | |
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The ratio of milk and water in three samples is 11: 14, 16 : 19 and 20 : 25. A mixture containing equal quantities of all three samples is made. What will be the ratio of milk and water in the new mixture? pipeline-1310564
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defence | — | intermediate | |
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How much honey should be mixed in a mixture of milk and honey such that the final mixture has 25% honey? Statement I: Mixture contains 90% milk initially. Statement II: Final quantity of honey in the mixture is 840 ml. pipeline-1310585
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defence | — | intermediate | |
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In vessels X and Y, the ratios of acid and water are 3 : 7 and 1 : 3, respectively. The contents of X and Y are mixed in the ratio of 1 : 2 to get a solution in which acid and water are in the ratio a : b. What is the value of \(b+a\over b–a \)? pipeline-1305333
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defence | — | intermediate | |
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Solutions A and B contain acid to water in the ratio 4 : 5 and 5 : 7, respectively. Three litres of A is mixed with 5 litres of B. In 960 ml of this solution, how much acid (in ml) should be mixed so that the ratio of acid to water becomes 1 :1 in the resulting solution? pipeline-1301813
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defence | — | intermediate | |
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A milkman has a 15 litres drum with 9 litres milk. He filled the drum with water and now takes out \(\frac{1}{2}\) litre of the mixture. What is the quantity of milk (in millilitres) in the mixture taken out? pipeline-1290062
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defence | — | 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-1290069
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defence | — | 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-1290123
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defence | — | 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-1290118
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defence | — | intermediate | |
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From a cask filled with wine, 75 litres are first drowned and replaced with water. From this mixture, 60 lives are down and replaced with water. The ratio of wine to water in the cask is now 3:2. How many liters of wine did the conk initially hold? pipeline-1296676
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defence | — | 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-1272533
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defence | — | intermediate | |
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A vessel is full of milk. 23L of milk is taken out & replaced by water this process is repeated two more times. Find the initial amount of milk in the vessel. If at the end the ratio of milk and water becomes 1331:397. pipeline-1272502
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defence | — | 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? Statement I: The ratio of juice and water in the mixture that was added to Jar B was 3 : 2, respectively. Statement 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-1266213
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defence | — | intermediate | |
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A mixture of 50 kg of cement and gravel contains 10% of gravel. How many kg of gravel must be added to make the gravel content 28% in the new mixture? pipeline-1266161
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defence | — | 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-1265958
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ib | — | 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-1242049
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defence | — | 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-1258215
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ib | — | intermediate | |
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The ratio of alcohol and water in solutions A and B is 3 : 5 and 5 : 7, respectively. Two litres of A is mixed with 5 litres of B, and 3 litres of alcohol are also added to it to get a new solution C. In 1.5 litres of solution C. how much alcohol (in ml) should be mixed so that the ratio of alcohol and water in the final solution becomes 2 : 1? pipeline-1264296
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ib | — | intermediate | |
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In a mixture of 624 litres, the ratio of milk to water is 5 ∶ 3. The amount of water to be further added to the mixture so as to make the ratio of the milk to water 5 ∶ 4 will be: pipeline-1259558
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ib | — | intermediate | |
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20% milk is taken out of a vessel filled with pure milk, and the same amount of water is poured, and this process is repeated three times. After the third operation, the quantity of pure milk in the vessel will be reduced to what? pipeline-1263611
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ib | — | 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-1256074
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ib | percentage | 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-1255167
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ib | — | 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-1253395
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ib | — | 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-1252995
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ib | — | intermediate | |
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A vessel contains 64 litres of mixture of milk and water in the ratio 7 : 3 respectively. 8 litres of mixture is replaced by 8 litres of milk. What is the ratio of milk and water in the resulting mixture? pipeline-1241555
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ib | — | 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-1238499
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ib | — | intermediate | |
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In a 60- litrer mixture of milk and water, the water content is 40%. How many litres of water should be added to increase the water content to 60%? pipeline-1233441
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ib | — | 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-1268282
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ib | — | 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-1268181
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ib | — | intermediate | |
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From a cask filled with 867 litres of wine, y litres are first drawn and replaced with water. After the first replacem the ratio of wine and water in the cask, when expressed in the lowest form, is given as a : b. From this mixture y are drawn and replaced with water. The ratio of wine to water in the cask after the second replacement, when expressed in the lowest form, is given as 169: 120. Find the value of (y + a + b). pipeline-1265737
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ib | — | intermediate | |
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The ratio of acid and water in solutions A and B is 15 : 11 and 4 : 9, respectively. 6 litres of A is mixed with 4 litres of B. How much acid (in ml) should be added to 390 ml of the resulting solution so that the ratio of acid and water in it becomes 3 : 2? pipeline-1265751
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ib | — | 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-1263884
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ib | — | 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-1265847
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ib | — | intermediate | |
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There are two containers A and B. In container A, the ratio of milk and water is 1: 3 and in container B, the ratio of milk and water is m : n. If the mixture in the containers A and B are mixed in the ratio 2 : 3 to get 20 litres of a mixture having milk and water in the ratio 3 : 7, then what is the value of \(m\over{n}\)? pipeline-1263489
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ib | — | intermediate | |
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A shopkeeper has 3 different qualities of Milk. 299 liters of 1st quality, 345 liters of 2nd quality and 368 liters of 3rd quality. Find the least possible number of bottles of equal size in which different Milk of different qualities can be filled without mixing? pipeline-1264161
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ib | — | 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-1264170
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ib | — | intermediate | |
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From 800 ml of milk, 100 ml of milk is replaced with 100 ml of water. Again 100 ml of the mixture is removed and 100 ml of water is added. In another case, x ml of milk from 1600 ml of milk is replaced with water once. Both the mixture contains same percentage of milk, then what is the value of x? pipeline-1259239
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ib | percentage | intermediate | |
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A mixture of 50 kg of cement and gravel contains 10% of gravel. How many kg of gravel must be added to make the gravel content 28% in the new mixture? pipeline-1259445
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ib | — | intermediate | |
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There are three cups of a mixture of milk and water in ratios 4 : 5, 5 : 6, 9 : 7. 36 liters of the first and 44 liters of the second cup are taken. How much quantity from the third cup is to be taken so that the final mixture from the three cups will have milk and water in a ratio 1 : 1? pipeline-1253493
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ib | — | 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-1259449
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ib | — | intermediate | |
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A bucket contains liquid A and B in the ratio 12 : 13. 100 litres of the mixture are taken out and filled with 100 litres of B. Now the ratio changes to 7 : 8. Find the quantity of liquid B initially. (In litres) pipeline-1237754
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ib | — | intermediate | |
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A bucket contains liquid A and B in the ratio 11 : 12. 92 litre of the mixture is taken out and filled with 92 litre of B. Now the ratio changes to 9 : 10. Find the quantity of liquid B intially? (In litres) pipeline-1252520
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ib | — | intermediate | |
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A vessel is filled with liquid, 5 parts of which are water and 11 parts syrup. What part of the mixture must be drawn off and replaced with water so that the mixture may be syrup and water in the ratio 3 : 2? pipeline-1246875
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ib | — | 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? Statement I: The ratio of juice and water in the mixture that was added to Jar B was 3 : 2, respectively. Statement 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-1233731
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ib | — | 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-1233627
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ib | — | 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-1228975
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ib | — | intermediate | |
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Unit 1 contains milk and water in the ratio of 5 : 3 and unit 2 contains milk and water in the ratio 2 : 7. In what ratio units 1 and 2 be mixed such that the resulting ratio of milk and water will be 1 : 1? pipeline-1194771
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delhi_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-1232097
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ib | percentage | 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-1227930
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ib | — | 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-1157235
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delhi_police | — | intermediate |