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- IBA Master Product Development : Math (Mixture Problem : Level- Easy) 0%
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Question 1 of 50
1. Question
How much of a 20% acid solution would a chemist have to mix with one liter of a 40% acid solution to yield a 36% acid solution?
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Question 2 of 50
2. Question
24 coins, all nickels and dimes, are together worth $1.75.
How many of the coins are nickels?
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Question 3 of 50
3. Question
A chemist has 600 milliliters of a solution of 20% alcohol on hand, and she wants to mix it with enough 50% alcohol solution to turn it into a 30% alcohol solution. How much of the 50% solution will she need?
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Question 4 of 50
4. Question
A chemist has 400 milliliters of a solution of 20% alcohol on hand, and he wants to mix it with enough pure alcohol to turn it into a 30% alcohol solution. How much pure alcohol will this require?
Select the response that is closest to the correct answer.
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Question 5 of 50
5. Question
A mixture contains lemon juice and sugar syrup in equal proportion. If a new mixture is created by adding this mixture and sugar syrup in the ratio 1 : 3, then the ratio of lemon juice and sugar syrup in the new mixture is
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Question 6 of 50
6. Question
There are two containers of the same volume, first container half-filled with sugar syrup and the second container half-filled with milk. Half the content of the first container is transferred to the second container, and then the half of this mixture is transferred back to the first container. Next, half the content of the first container is transferred back to the second container. Then the ratio of sugar syrup and milk in the second container is
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Question 7 of 50
7. Question
A glass contains 500 cc of milk and a cup contains 500 cc of water. From the glass, 150 cc of milk is transferred to the cup and mixed thoroughly. Next, 150 cc of this mixture is transferred from the cup to the glass. Now, the amount of water in the glass and the amount of milk in the cup are in the ratio
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Question 8 of 50
8. Question
The strength of an indigo solution in percentage is equal to the amount of indigo in grams per 100 cc of water. Two 800 cc bottles are filled with indigo solutions of strengths 33% and 17%, respectively. A part of the solution from the first bottle is thrown away and replaced by an equal volume of the solution from the second bottle. If the strength of the indigo solution in the first bottle has now changed to 21% then the volume, in cc, of the solution left in the second bottle is
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Question 9 of 50
9. Question
From a container filled with milk, 9 lites of milk are drawn and replaced with water. Next, from the same container, 9 lites are drawn and again replaced with water. The volumes of milk and water in the container are now in the ratio of 16 : 9, then the capacity of the container, in litres, is
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Question 10 of 50
10. Question
If a certain weight of an alloy of silver and copper is mixed with 3 kg of pure silver, the resulting alloy will have 90% silver by weight. If the same weight of the initial alloy is mixed with 2 kg of another alloy which has 90% silver by weight, the resulting alloy will have 84% silver by weight. Then, the weight of the initial alloy, in kg, is
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Question 11 of 50
11. Question
A solution, of volume 40 lites, has dye and water in the proportion 2: 3. Water is added to the solution to change this proportion to 2 : 5. If one-fourths of this diluted solution is taken out, how many lites of dye must be added to the remaining solution to bring the proportion back to 2 : 3?
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Question 12 of 50
12. Question
An alloy is prepared by mixing three metals A, B and C in the proportion 3 : 4 : 7 by volume. Weights of the same volume of the metals A, B and C are in the ratio 5:2:6. In 130 kg of the alloy, the weight, in kg, of the metal C is
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Question 13 of 50
13. Question
Two alcohol solutions, A and B, are mixed in the proportion 1: 3 by volume. The volume of the mixture is then doubled by adding solution A such that the resulting mixture has 72% alcohol. If solution A has 60% alcohol, then the percentage of alcohol in solution B is
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Question 14 of 50
14. Question
The strength of a salt solution is p% if 100 ml of the solution contains p grams of salt. Each of three vessels A, B, C contains 500 ml of salt solution of strengths 10%, 22%, and 32%, respectively. Now, 100 ml of the solution in vessel A is transferred to vessel B. Then, 100 ml of the solution in vessel B is transferred to vessel C. Finally, 100 ml of the solution in vessel C is transferred to vessel A. The strength, in percentage, of the resulting solution in vessel A is
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Question 15 of 50
15. Question
Two types of tea, A and B, are mixed and then sold at Rs. 40 per kg. The profit is 10% if A and B are mixed in the ratio 3 : 2, and 5% if this ratio is 2 : 3. The cost prices. per kg, of A and B are in the ratio
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Question 16 of 50
16. Question
A trader sells 10 litres of a mixture of paints A and B, where the amount of B in the mixture does not exceed that of A. The cost of paint A per lite is Rs. 8 more than that of paint B. If the trader sells the entire mixture for Rs. 264 and makes a profit of 10%, then the highest possible cost of paint B, in Rs. per litre, is
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Question 17 of 50
17. Question
A jar contains a mixture of 175 ml water and 700 ml alcohol. Gopal takes out 10% of the mixture and substitutes it by water of the same amount. The process is repeated once again. The percentage of water in the mixture is now
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Question 18 of 50
18. Question
The strength of a salt solution is p% if 100 ml of the solution contains p grams of salt. If three salt solutions A, B, C are mixed in the proportion 1: 2: 3, then the resulting solution has strength 20%. If instead the proportion is 3 : 2: 1, then the resulting solution has strength 30%. A fourth solution, D, is produced by mixing B and C in the ratio 2: 7. The ratio of the strength of D to that of A is?
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Question 19 of 50
19. Question
There are two drums, each containing a mixture of paints A and B. In drum 1, A and B are in the ratio 18: 7. The mixtures from drums 1 and 2 are mixed in the ratio 3 : 4 and in this final mixture, A and B are in the ratio 13 : 7. In drum 2, then A and B were in the ratio
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Question 20 of 50
20. Question
In mixture A, the ratio of coco and sugar is 3:2 and in mixture B, the ratio of coffee and sugar is 7 : 3. These two were mixed together in the ratio 2:3 to make mixture C. Now equal quantities of C and milk are mixed. Find the percentage of sugar in the mixture.
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Question 21 of 50
21. Question
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?
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Question 22 of 50
22. Question
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
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Question 23 of 50
23. Question
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
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Question 24 of 50
24. Question
How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27kg of sugar costing Rs.7 per kg so that there may be gain of 10% by selling the mixture at Rs.9.24 per kg?
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Question 25 of 50
25. Question
The cost of Type 1 rice is Rs. 30 per kg and Type 2 rice is Rs. 40 per kg. if both Type 1 and Type 2 are mixed in the ratio of 1 : 4, then what will be the price per kg of the mixed variety of rice?
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Question 26 of 50
26. Question
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?
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Question 27 of 50
27. Question
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 ?
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Question 28 of 50
28. Question
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.
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Question 29 of 50
29. Question
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
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Question 30 of 50
30. Question
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:
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Question 31 of 50
31. Question
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?
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Question 32 of 50
32. Question
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
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Question 33 of 50
33. Question
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)
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Question 34 of 50
34. Question
A sum of Rs.118 was divided among 50 boys and girls such that each boy received Rs.2.60 and each girl Rs.1.80. Find the number of boys and girls ?
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Question 35 of 50
35. Question
A scientist needs a 10% saline solution for an experiment. In his closet he finds a 20 ounce bottle of 25% saline solution. How many ounces of pure water should he add to the mixture to produce the correct saline solution?
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Question 36 of 50
36. Question
In what proportion must tea at Rs. 7.50 per kg be mixed with tea at Rs. 10.50 per kg to produce a mixture worth Rs. 8.50 per kg?
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Question 37 of 50
37. Question
Metal A costs Rs. 8.40 per gm and Metal B Rs. 0.21 per gm. In what proportion must these metals be mixed so that gram of the mixture may be worth Rs. 5.67?
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Question 38 of 50
38. Question
A 15-litre mixture contains 20% alcohol and the rest water. If 3 litres of water is mixed in it, then the percentage of alcohol in the new mixture will be
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Question 39 of 50
39. Question
A mixture of 20 kg of water and spirit contains 10% water. How much water must be added to this mixture to raise the percentage of water to 25%?
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Question 40 of 50
40. Question
A sum of money is sufficient to pay Sachin’s salary of 45 days and kale’s salary for 60 days. For how many days can the sum pay the salary of both?
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Question 41 of 50
41. Question
A grocer buys two kinds of rice at Rs. 1.80 and Rs. 1.20 per kg respectively. In what proportion should these be mixed, so that by selling the mixture at Rs. 1.75 per kg 25% may be gained?
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Question 42 of 50
42. Question
A and B are two alloys of iron and silver prepared by mixing metals in the ratio 4 : 5 and 7 : 5 respectively. If equal quantities of alloys are melted to form a third alloy C, the ratio of iron to silver in C is
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Question 43 of 50
43. Question
The ratio of milk and water in 66 kg of adultered milk is 5 : 1. Water is added to make the ratio 5 : 3. The quantity of water added is
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Question 44 of 50
44. Question
Mixture of alcohol and water contains 35% of alcohol by volume. Then, 40 ml of water is added to such a mixture of 100 ml. The percentage of alcohol in the new mixture is
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Question 45 of 50
45. Question
A mixture, 729 ml in volume, contains milk and water in the ratio 7: 2. How much more water is to be added to get a new mixture containing milk and water in the ratio 7: 3?
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Question 46 of 50
46. Question
A mixture of 24 litres contains water and milk in the ratio 3: 5. How much water must be added to this mixture to reverse the ratio?
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Question 47 of 50
47. Question
A trader mixes two varieties of tea costing Rs 40 per kg and rupees 50 per kg in the ratio 5: 4. If the mixture is sold at rupees 48 per kg question, then what is the gain percentage?
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Question 48 of 50
48. Question
Two containers of equal volume contains milk and water in the ratio 3: 5 and 5: 3, respectively. If the contents of both containers are emptied into a third one, what would be the ratio of milk to water in that container?
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Question 49 of 50
49. Question
From two ornament Weighing 18 gram and 24 gram containing gold and silver in the ratio of 2: 1 and 5: 1 respectively, a new ornament is made. What is the amount of gold in the new ornament?
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Question 50 of 50
50. Question
A and B are two alloys of gold and copper prepared by mixing metals in proportions 5: 3 and 5: 11 respectively. If equal quantities of this alloys are melted to a third alloy C, what would be the proportion of gold and copper in the alloys thus formed?
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