| Coverage : The GMAT Practice Test - Math - Mixtures has been designed to test the important concepts related to mixtures and alligations. The test covers important topics like finding the mean price, or computing the number of items that must be mixed so as to make the worth of a given price, applying rules of alligations, and so forth. |
| 1. | In what ratio must tomato at $1.50 per kg be mixed with tomato at $2 per kg so that the mixture be worth $1 per kg? |
| a. | | 1:2 |
| b. | | 2:1 |
| c. | | 1:3 |
| d. | | 3:1
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| 2. | How much water must be added to 30 litres of milk at 2 litres for $1.40 so as to have a mixture worth $0.50 a litre ? |
| a. | | 10 litres |
| b. | | 15 litres |
| c. | | 12 litres |
| d. | | 18 litres
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| 3. | Determine in what ratio must water be mixed with milk so as to gain 30% by selling this mixture at cost price? |
| a. | | 3:10 |
| b. | | 1:3 |
| c. | | 3:5 |
| d. | | 2:3
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| 4. | How many kgs of grain costing $2.50 per kg must be mixed with 24 kg of rice costing $1.50 per kg so that 20% gain may be obtained by selling the mixture at $ 2.00 per kg? |
| a. | | 10 kg |
| b. | | 2.4 kg |
| c. | | 4.8 kg |
| d. | | 12.2 kg
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| 5. | Container 'A' contains a mixture of water and milk in the ratio 3:5, respectively. Container 'B' contains the same mixture in the ratio 5:1 . Compute in what ratio, the liquids in both the containers be mixed to obtain a new mixture in container 'C', containing half milk and half water? |
| a. | | 3:4 |
| b. | | 4:5 |
| c. | | 1:1 |
| d. | | 8:3
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| 6. | In what ratio must sugar at $2 per kg be mixed with sugar at $3.50 per kg so that the mixture be worth $2.50 per kg? |
| a. | | 2:1 |
| b. | | 1:5 |
| c. | | 3:1 |
| d. | | 2:3
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| 7. | In certain ratio two kinds of ginger are mixed, one worth $2.20 per kg and the other worth $1.20 per kg, so that the final mixture is worth $2.00 per kg. If the quantity of first kind of ginger is 12 kg, how much should be the quantity of second kind of ginger? |
| a. | | 1 kg |
| b. | | 3 kg |
| c. | | 4 kg |
| d. | | 6 kg
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| 8. | Chocolates at $12.00 per dozen is mixed with chocolate at $10.00 per dozen in the ratio 3:5. Find the price per dozen of the mixture. |
| a. | | $11.00 |
| b. | | $9.90 |
| c. | | $11.50 |
| d. | | $10.75
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| 9. | A bottle contains 100 ml of an acid, 25 ml of acid was taken out of the bottle and replaced by water. Then, 25ml of mixture was taken out and again replaced by water. The whole process was repeated for third time. How much acid is now left in the bottle? |
| a. | | app. 40 ml |
| b. | | app. 42 ml |
| c. | | app. 38 ml |
| d. | | app. 35 ml
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| 10. | Three bottles with similar capacity are filled with the mixture of orange and pine-apple juice. The proportion of orange juice and pine-apple juice in 1st, 2nd and 3rd bottles is in the ratio 1:4, 2:3 and 9:1 respectively. All the mixtures are then put into a fourth bottle. What is the proportion of orange juice and pine-apple juice in fourth bottle? |
| a. | | 1:1 |
| b. | | 1:2 |
| c. | | 5:2 |
| d. | | 5:1
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| 11. | In what ratio must candy worth $4 per dozen be mixed with candy worth $5.90 per dozen, so as to get a mixture worth $4.50 per dozen? |
| a. | | 11:5 |
| b. | | 14:5 |
| c. | | 5:12 |
| d. | | 5:13
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| 12. | Determine the ratio in which pulses at $ 5.50 per kg and at $ 6.20 per kg be mixed to produce a mixture worth $ 6.00 per kg. |
| a. | | 1:12 |
| b. | | 2:9 |
| c. | | 2:15 |
| d. | | 2:5
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| 13. | Determine the ratio in which a person should buy cookies, if type 1 cookie is worth $ 6.50 per kg and type 2 cookie is worth $ 6.90 per kg, and he wants to buy the mixture worth $6.75 per dozen? |
| a. | | 1:5 |
| b. | | 2:5 |
| c. | | 3:5 |
| d. | | 4:5
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| 14. | In what ratio must pens worth $4 per dozen be mixed with pens worth $8 per dozen, so as to get a mixture worth $6 per dozen? |
| a. | | 1:1 |
| b. | | 1:2 |
| c. | | 1:3 |
| d. | | 2:1
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| 15. | Pencils at $ 4.20 per dozen is mixed with pencils at $ 5.40 per dozen in the ratio 3:5. Find the price per dozen of the mixture. |
| a. | | $4.95 |
| b. | | $4.50 |
| c. | | $5.00 |
| d. | | $5.05
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| 16. | Onion worth $ 4.20 per kg is mixed with onions worth $ 6.40 per kg in the ratio 3:2. Find the price per kg of the mixture. |
| a. | | $ 5.20 |
| b. | | $ 4.90 |
| c. | | $ 4.99 |
| d. | | $ 5.08
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| 17. | Milk worth $ 2 per litre is mixed with milk worth $ 4 per litre in the ratio 4:1. Find the price per litre of the mixture. |
| a. | | $ 2.5 |
| b. | | $ 2.25 |
| c. | | $ 2.4 |
| d. | | $ 2.52
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| 18. | Three jars with similar capacity are filled with the mixture of milk and water. The proportion of milk and water in 1st, 2nd and 3rd jars is in the ratio 1:3, 2:3 and 4:1 respectively. All the mixtures are then put into a fourth jar. What is the proportion of milk and water in fourth jar? |
| a. | | 19:31 |
| b. | | 5:4 |
| c. | | 15:17 |
| d. | | 9:11
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| 19. | In a class test, out of 92 students, 90% of the girls and 70% of the boys cleared. How many boys appeared in the examination if total pass percentage was 75%? |
| a. | | 70 |
| b. | | 60 |
| c. | | 69 |
| d. | | 72
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| 20. | In what ratio must water be added to phenyl to gain 20% by selling it at the cost price? |
| a. | | 2:11 |
| b. | | 1:10 |
| c. | | 2:9 |
| d. | | 1:5 |
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| 21. | There are 80 students in a class, $ 52 are to distributed among them, so that each boy gets 80 cents and each girl gets 30 cents. Find the number of boys in the class. |
| a. | | 56 |
| b. | | 24 |
| c. | | 32 |
| d. | | 44
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| 22. | In what ratio must comics worth $ 5 each be mixed with books worth $ 20 each, so as to get a mixture worth $15 ? |
| a. | | 1:4 |
| b. | | 1:3 |
| c. | | 1:2 |
| d. | | 1:5
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| 23. | A rose bouquet worth $ 30 is mixed with jasmine bouquet worth $ 10 in the ratio 1:4. Find the price of the new bunch of flowers. |
| a. | | $ 22 |
| b. | | $ 25 |
| c. | | $ 26 |
| d. | | $ 28
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| 24. | Bananas worth $ 5.10 per dozen is mixed with bananas worth $ 6.30 per dozen in the ratio 3:5. Find the price per dozen of the mixture. |
| a. | | $ 5.35 |
| b. | | $ 5.45 |
| c. | | $ 5.50 |
| d. | | $ 5.85
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| 25. | In what ratio must books worth $ 15 each be mixed with books worth $ 30 each, so as to get a mixture worth $ 20 ? |
| a. | | 1:3 |
| b. | | 3:4 |
| c. | | 3:2 |
| d. | | 2:1
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| 26. | Three bottles with similar capacity are filled with the mixture of shower gel and water. The proportion of shower gel and water in 1st, 2nd and 3rd bottles is in the ratio 3:5, 5:7, 7:9 respectively. All the mixtures are then put into a fourth bottle. What is the proportion of shower gel and water in fourth jar? |
| a. | | 67:68 |
| b. | | 13:15 |
| c. | | 11:18 |
| d. | | 12:19
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| 27. | A bottle contains 50 ml of body oil, 10 ml of body oil was taken out of the bottle and replaced by hair oil. Then, 10ml of mixture was taken out and again replaced by hair oil. The whole process was repeated for third time. How much body oil is now left in the bottle? |
| a. | | 25.6 ml |
| b. | | 35.2 ml |
| c. | | 32.5 ml |
| d. | | 28.8 ml
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| 28. | Three bottles of sizes 1 litres, 2 litres and 3 litres contain mixture of milk and water in the ratio 3:1, 3:5 and 5:7, respectively. The mixture from all the bottles is then poured into a larger bottle. Find the ratio of milk to water in the fourth bottle. |
| a. | | 12:17 |
| b. | | 9:10 |
| c. | | 10:11 |
| d. | | 11:13
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| 29. | Three bottles of sizes 5 litres, 5 litres and 10 litres contain mixture of lemon juice and water in the ratio 2:3, 3:7and 9:1, respectively. The mixture from all the bottles is then poured into a larger bottle. Find the ratio of lemon water to water in the fourth bottle. |
| a. | | 5:1 |
| b. | | 5:2 |
| c. | | 5:3 |
| d. | | 5:4
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| 30. | How many kgs. of tomato costing $1.20 per kg must be mixed with 12 kg of potato costing $ 0.90 per kg so that 50% gain may be obtained by selling the mixture at $1.10 per kg? |
| a. | | 3.225 kg |
| b. | | 4.28 kg |
| c. | | 4.44 kg |
| d. | | 3.232 kg
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| 31. | Determine in what ratio must sand be mixed with clay to gain 15% by selling the mixture at cost price? |
| a. | | 3:2 |
| b. | | 1:5 |
| c. | | 1:2 |
| d. | | 3:4
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| 32. | How much water must be added to 80 litres of juice at 2 litres for $3, so as to have a mixture worth $1.20 a litre? |
| a. | | 15 litres |
| b. | | 13 litres |
| c. | | 10 litres |
| d. | | 20 litres
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| 33. | In what ratio should a customer buy salt and sugar, so that his expenses should not exceed $3, and if the price of salt and sugar is $1.50 per kg and $1.80 per kg respectively. |
| a. | | 4:5 |
| b. | | 4:7 |
| c. | | 3:4 |
| d. | | 3:5
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