100 Top Allegation and Mixture Aptitude Question Problem

Allegation and Mixture Aptitude Question

1. 
   

   Tea worth Rs. 126 per kg and Rs. 135 per 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:

1. A. Rs. 169.50     
2. B. Rs. 170      
3. C. Rs. 175.50        Correct Answer
4. D. Rs. 180      

2.  

   
   

   In what ratio must wheat A at Rs. 10.50 per kg be mixed with wheat B at Rs. 12.30 per kg, so that the mixture be worth of Rs. 11 per kg?

1. A. 13 : 5       Correct Answer
2. B. 18 : 3      
3. E. 11 : 5      

3.  

   
   

   A can contains a mixture of two liquids A and B is 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?

1. A. 10     
2. B. 20      
3. C. 21        Correct Answer
4. D. 25      

4.  

   
   

   In what ratio must a shopkeeper mix Peas and Soybean of Rs. 16 and Rs. 25 per kg respectively, so as to obtain a mixture of Rs. 19.50 ?

1. A. 9 : 5     
2. B. 7 : 5      
3. C. 11 : 7        Correct Answer
4. D. 12 : 8      

5.  

   
   

   A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5?

1. A. 4 litres, 8 litres     
2. B. 6 litres, 6 litres        Correct Answer
3. C. 5 litres, 7 litres      
4. D. 7 litres, 5 litres      

6.  

   
   

   In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?

1. A. 3 : 7     
2. B. 5 : 7      
3. C. 7 : 3        Correct Answer
4. D. 7 : 5      

7.  

   
   

   10 gallons are drawn from a container full of alcohol and filled with water again. 10 gallons of mixture are again drawn and the container is filled with water again. If the ratio of alcohol and water left in the container is 49 : 32, then find how much quantity does the container hold?

1. A. 35 gallons     
2. B. 45 gallons        Correct Answer
3. C. 55 gallons      
4. D. 60 gallons      

8.  

   
   

   How many kilogram 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?

1. A. 36 kg     
2. B. 42 kg      
3. C. 54 kg      
4. D. 63 kg        Correct Answer

9.  

   
   

   A container is filled with a mixture of water and milk in the ratio of 3 : 5. Find the quantity of mixture to be drawn off and replaced with water, in order to get the mixture as half milk and half water.

1. A. 2 : 3     
2. B. 1 : 1      
3. C. 1 : 5        Correct Answer
4. D. 1 : 4      

10.  

    
    

    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?

1. A. 26.34 litres     
2. B. 27.36 litres      
3. C. 28 litres      
4. D. 29.16 litres        Correct Answer

11.  

    
    

    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 ?

1. A. 21 litres       Correct Answer
2. B. 15 litres      
3. C. 23 litres      
4. D. 18 litres      
5. E. 25 litres      

12.  

    
    

    Chandan buys some sugar at Rs. 15 per kg. He mixes it with sugar having price Rs. 18 per kg. The final mixture becomes worth Rs. 16 per kg. What is the ratio of quantities of type 1 sugar to type 2 sugar?

1. A. 2:1       Correct Answer
2. B. 1:2      
3. C. 5:6      
4. D. 6:5      

13.  

    
    

    Rice and wheat are in a mixture in the ratio 5:3. If 16 kg wheat is added to this mixture, the ratio of rice to wheat changes to 5:7. How much wheat is in new mixture?

1. A. 21 kg     
2. B. 28 kg        Correct Answer
3. C. 42 kg      
4. D. 35 kg      

14.  

    
    

    3 types of Sugar got mixed by accident in a shop. First was of the rate Rs. 145 per kg and Second of Rs. 165 per kg. Only thing the shop owner knew that quantities of 3 sugar types were in the ratio 2:1:3 respectively. He finally sold the mix at rate of Rs. 180 per kg. What was price of 3rd type?

1. A. Rs. 208.33       Correct Answer
2. B. Rs. 210      
3. C. Rs. 215.67      
4. D. Rs. 196.58      

15.  

    
    

    In a mixture of 90 L the ratio of acid and water is 2 : 1. If the ratio of acid and water is to be 1 : 2, then the amount of water (in litres) to be added to the mixture is?

1. A. 20L     
2. B. 40L      
3. C. 90L        Correct Answer
4. D. 100L      

16.  

    
    

    If 500 gm of salt solution has 30% salt in it, how much salt must be added to make the concentration of salt 50% in the solution?

1. A. 200 gm       Correct Answer
2. B. 100 gm      
3. C. 90 gm      
4. D. 50 gm      

17.  

    
    

    An empty bottle weighs 1/6th of the full bottle. When a certain percent of water was removed and the bottle was weighed, the weight of the bottle turned out to be 1/3rd of the bottle when it was full. What is the percent of water removed?

1. A. 70%     
2. B. 85%      
3. C. 80%        Correct Answer
4. D. 75%      

18.  

    
    

    Find the ratio in which wheat of inferior quality (Rs.14/kg) be mixed with wheat of superior quality (Rs.28/kg) so that the shopkeeper gains Rs.2 by selling the resulting mixture at Rs.20/kg.

1. A. 1 : 3     
2. B. 5 : 2        Correct Answer
3. C. 3 : 4      
4. D. 2 : 5      

19.  

    
    

    A jar is filled of liquid which is 3 parts water and 5 parts alcohol. How much of this mixture should be drawn out and replaced such that this mixture may contain half water and half alcohol?

1. A. 25%     
2. B. 20%        Correct Answer
3. C. 14.29%      
4. D. 33.33%      

20.  

    
    

    Rajesh has a container which has a mixture of wine and water in it. Wine and water are in the ratio 4:1. Rajesh spills some of the mixture by accident. He then replaces the spilled amount with water of same quantity. But now the wine to water ratio became 3:2. How much water did Rajesh add?

1. A. 3/5     
2. B. 1/2      
3. C. 1/4        Correct Answer
4. D. 2/7      

21.  

    
    

    Sunil started a juice (lemon syrup + water) counter. Initially he had 140 liter juice which had 30% water in it. He sold 20 liters of the juice. Then he added equal amount of lemon syrup and water. Now the ratio of water to lemon syrup became 1:2. How much water was added later on?

1. A. 9 liters     
2. B. 12 liters        Correct Answer
3. C. 14 liters      
4. D. 20 liters      

22.  

    
    

    A solution of honey and water is 28 litres, with honey and water in ratio 4:3. To this a 21 litre honey-water solution is added that has honey to water ratio as 2:1. Again a 51 litre honey-water solution that has honey to water ratio as 9:8 is added to this. After this 10 litre of the solution is replaced with pure honey. What is ratio of water to honey in the final mixture?

1. A. 613:387     
2. B. 15:12      
3. C. 72:24      
4. D. 387:613        Correct Answer

23.  

    
    

    A pot contains 40 litres of juice. How much juice will be there in the pot, if 4 litres of juice was removed and was replaced by water and this process was further repeated twice?

1. A. 32 litre     
2. B. 32.29 litre      
3. C. 28 litre      
4. D. 29.16 litre        Correct Answer

24.  

    
    

    How much milk should be added in a milk solution to make milk quantity in it 75%, if 80 L of milk solution has 45% milk in it?

1. A. 96 litres       Correct Answer
2. B. 75 litres      
3. C. 30 litres      
4. D. 110 litres      

25.  

    
    

    Resultant price of mixture of golden rice is Rs. 480 per kg. This mixture is made from two varieties of golden rice which are having price of Rs. 420 per kg and Rs. 520 per kg. What should be ratio of quantities of both types of golden rice?

1. A. 1:3     
2. B. 1:2        Correct Answer
3. C. 2:1      
4. D. 4:1      

26.  

    
    

    To gain profit, a milkman adds 1.5 litre of water to a certain amount of milk. He sells the adulterated milk at Rs.28 per litre and pure milk costs Rs.36 per litre. Find the amount of milk.

1. A. 5.25       Correct Answer
2. B. 6      
3. C. 5.5      
4. D. 5      

27.  

    
    

    A container contains 30 liters of milk. From this container 5 liter 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?

1. A. 18.45 liter     
2. B. 23.44 liter      
3. C. 17.36 liter        Correct Answer
4. D. 21.87 liter      

28.  

    
    

    Vessel ‘A’ contains 150 litres of mixture of milk and water in the ratio of 3:1. Vessel ‘B’ contains 200 litres of the mixture in the ratio of 5:2. If the mixture from both the vessels are poured into vessel ‘C’, find the ratio of the resulting mixture.

1. A. 15 : 7     
2. B.  8 : 3      
3. C. 15 : 2      
4. D. 143 : 53        Correct Answer

29.  

    
    

    A container has 40L milk. 4L milk is taken out and replaced with water, the process done three times. What is the amount of milk now left?

1. A. 28L     
2. B. 29L      
3. C. 29.16L        Correct Answer
4. D. 28.4L      

30.  

    
    

    Chaman has two big cans of wine and water mixture. Chaman mixes the contents of both the cans in a big container. The new mixture has half water and half wine. In what quantity did Chaman mix contents of Can 1 and 2 if Can 2 has wine to water ratio of 2:3 and Can 1 has wine to water ratio 5:3?

1. A. 5:3     
2. B. 4:5        Correct Answer
3. C. 5:4      
4. D. 2:5      

31.  

    
    

    One can is completely filled and contains 100% water. Another similar can is completely filled with a solution of 50% wine and 50% water. When both the cans are emptied in a steel vessel, what will be ratio of water to wine in the vessel?

1. A. 1:1     
2. B. 1:3      
3. C. 2:1      
4. D. 3:1        Correct Answer

32.  

    
    

    One glass has juice and water in the ratio 5:2 while other glass has them in ratio 7:4, respectively. If both glasses poured in a vessel, then what will be final ratio of water to juice in the vessel?

1. A. 8:35     
2. B. 52:25      
3. C. 35:8      
4. D. 25:52        Correct Answer

33.  

    
    

    A mixture consists of some amount of sandalwood oil and 240 litres of water. It is priced at Rs. 275 per litre.  Sandalwood oil is priced Rs. 325 per litre. How much oil is there in the mixture?

1. A. 720 litres     
2. B. 1000 litres      
3. C. 1320 litres        Correct Answer
4. D. 1200 litres      

34.  

    
    

    A tank of 100 litres is filled with kerosene. Ram replaces 10% of kerosene with water and repeats this procedure 4 times. What is the amount of kerosene left in the tank?

1. A. 60 litres     
2. B. 65.61 litres        Correct Answer
3. C. 70 litres      
4. D. 65 litres      

35.  

    
    

    Presently a mixture in a tub contains substances A and B in the ratio of 7:5. If 9 litres of this solution is drawn out and B is added to the mixture in certain quantity the resulting mixture becomes 7:9. How much litres of liquid A was kept in the tub initially?

1. A. 32     
2. B. 20      
3. C. 27      
4. D. 21        Correct Answer

36.  

    
    

    A milkman had water and milk mixture in a can with water to milk ratio 5:7. He accidently spills 9 liters of the mixture. He then fills the can with water equal in quantity to spilled mixture. This makes the water to milk ratio 9:7. How much milk did the can initially have?

1. A. 21 liters       Correct Answer
2. B. 24 liters      
3. C. 16 liters      
4. D. 20 liters      

37.  

    
    

    Ramesh mixes 60 litres of Type-1 acid with some litres of Type-2 acid. Type-1 acid rate is Rs. 32 per litre while Type-2 rate is Rs. 23 per litre. Ramesh sells this acid-mix at rate Rs. 28 per litre. How much Type-2 acid is needed to make it a no profit no loss transaction?

1. A. 48 litres       Correct Answer
2. B. 36 litres      
3. C. 24 litres      
4. D. 50 litres      

38.  

    
    

    In what proportion must wheat at Rs. 15 per kg. be mixed with wheat at Rs. 18 per kg. So that the mixture will be worth Rs. 17 per kg. ?

1. A. 2 : 1     
2. B. 1 : 2        Correct Answer
3. C. 3 : 2      
4. D. 2 : 3      

39.  

    
    

    A container contains 30 liters of milk. From this container 5 liter 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?

1. A. 18.45 liter     
2. B. 23.44 liter      
3. C. 17.36 liter        Correct Answer
4. D. 21.87 liter      

40.  

    
    

    Rohit buys some rice at Rs. 10.40 per kg. He mixes it with some rice having price Rs. 8.8 per kg. The final mixture becomes 15kg in weight and with total worth Rs. 146.40. What is the quantity of rice priced at Rs. 8.8 per kg?

1. A. 9 kg     
2. B. 10 kg      
3. C. 5 kg      
4. D. 6 kg        Correct Answer

41.  

    
    

    A mixture of two food items has a salt to sugar ratio of 7 : 32. The ratio of salt to sugar is 2 : 11 and 5 : 21, in the two individual types of food items. In what proportion are the 2 food items mixed?

1. A. 10 : 321     
2. B. 1 : 2        Correct Answer
3. C. 7 : 32      
4. D. 2 : 1      

42.  

    
    

    Two jars contain milk and water in the ratio 5:4 and 2:1, respectively. What volume should be taken out from the first jar if volumes have to be taken out from both jars so as to fill up a third 30 litres jar with milk to water in the ratio 1:1?

1. A. 7.5 litres     
2. B. 15 litres      
3. C. 22.5 litres      
4. D. It is impossible        Correct Answer

43.  

    
    

    Mr X mixed 10 kg of variety A rice with 15 kg of variety B rice and sold the mixture at a price 40% more than that of A. He did not get any profit. What is the ratio of the cost price of variety A to that of B per kg?

1. A. 2:5     
2. B. 3:5        Correct Answer
3. C. 4:5      
4. D. 5:8      

44.  

    
    

    Two solutions of milk and water are kept in two vessels A and B. The ratio of quantity of milk in vessels A and B is 4:5 while the ratio of quantity of water in vessels A and B is 8:9. It is known that the concentration of milk in one of these vessels in between 60% and 80%. What could be the concentration of milk in the other vessel?

1. A. 55%     
2. B. 65%      
3. C. 75%        Correct Answer
4. D. 85%      

45.  

    
    

    Milk sold by milkman contains 5% water. What quantity of pure milk should be added to 20 litres so that water content comes down to 2%?

1. A. 16 litres     
2. B. 20 litres      
3. C. 25 litres      
4. D. None of these        Correct Answer

46.  

    
    

    A beaker contains a 105 ml mixture of alcohol and water. Three-sevenths of the mixture is alcohol; the remainder is water. An additional quantity of 105 ml of alcohol is poured into the mixture. What is the ratio of the volume of alcohol to water in the new mixture?

1. A. 3:7     
2. B. 3:4      
3. C. 5:2        Correct Answer
4. D. 1:1      

47.  

    
    

    Three vessels whose capacities are as 5:3:2 are completely filled with milk mixed with water. The ratio of milk to water in the mixture of vessels are as 3:2, 2:1 and 3:1 respectively. Find the percentage of water in the new mixture obtained when one-third of first, half of second and two-thirds of the third vessel is taken out and mixed together.

1. A. 66.66%     
2. B. 50%      
3. C. 16.66%      
4. D. 33.33%        Correct Answer

48.  

    
    

    Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1:1:2. If the mixture is worth Rs. 153 per kg, then the price of the third variety per kg will be

1. A. Rs. 169.50     
2. B. Rs. 170      
3. C. Rs. 175.50        Correct Answer
4. D. Rs. 180      

49.  

    
    

    In a mixture of 45 litres, the ratio of milk and water is 3:2. How much water must be added to make the ratio 9:11?

1. A. 10 litres     
2. B. 15 litres        Correct Answer
3. C. 17 litres      
4. D. 20 litres      

50.  

    
    

    A dairy man pays Rs. 6.4 per litre of milk. He adds water and sells the mixture at Rs. 8 per litre, thereby making 37.5% profit. Find the proportion of the water to that of the milk received by the customers.

1. A. 1:15     
2. B. 1:10        Correct Answer
3. C. 1:20      
4. D. 1:12      

51.  

    
    

    If 50% of the 2:3 solution of milk and water is replaced with water, then the concentration of the solution is reduced by

1. A. 25%     
2. B. 33.33%      
3. C. 50%        Correct Answer
4. D. 75%      

52.  

    
    

    How much water as per cent of pure milk can be added so that selling price is not affected?

1. A. 9%       Correct Answer
2. B. 12.375%      
3. C. 10%      
4. D. 15%      

53.  

    
    

    There are 3 containers A, B and C which contain water, milk and acid respectively in equal quantities. 10% of the content of A is taken out and poured into B. Then, the same amount from B is transferred to C, from which again the same amount is transferred to A. What is the proportion of milk in container A at the end of the process?

1. A. 9/10     
2. B. 1/11      
3. C. 1/121        Correct Answer
4. D. 2/13      

54.  

    
    

    How much water must be mixed in 300 ml of sugar solution which contains 40% sugar by weight, such that it becomes a 30% sugar solution?

1. A. 50 ml     
2. B. 75 ml      
3. C. 90 ml      
4. D. 100 ml        Correct Answer

55.  

    
    

    An empty container is filled with pure alcohol. The alcohol is slowly allowed to run out and when the container is one-fourth empty, it is replaced with water. Next, when the container is half empty it is again filled with water. Finally, when it is three-fourths empty, it is again filled with water. What percentage of container is alcohol now?

1. A. 8(1/2)%     
2. B. 11(3/4)%      
3. C. 9(3/8)%        Correct Answer
4. D. 14(3/8)%      

56.  

    
    

    Two vessels contain spirit of 0.5 and 0.75 concentrations. If two litres from the first vessel and three litres from the second vessel are mixed, then what will be the ratio of the spirit and the water in the resultant solution?

1. A. 13:7       Correct Answer
2. B. 7:17      
3. C. 15:17      
4. D. 17:15      

57.  

    
    

    Milk and water are in the ration of 3:2 in a mixture of 80 litres. How much water should be added so that the ratio of the milk and water becomes 2:3?

1. A. 25 litres     
2. B. 40 litres        Correct Answer
3. C. 35 litres      
4. D. 20 litres      

58.  

    
    

    If the cost price of water is one-tenth that of milk and the milkman claims to sell the milk at a profit of 20%, then what is his actual net profit percentage?

1. A. 72%       Correct Answer
2. B. 82%      
3. C. 79%      
4. D. 68%      

59.  

    
    

    What per cent of the water should be added to pure milk so that even if selling price decreases the profit percentage is not affected?

1. A. 10%     
2. B. 30%      
3. C. 20%      
4. D. 25%        Correct Answer

60.  

    
    

    Two vessels A and B contain mixtures of spirit and water. A mixture of 3 parts from A and 2 parts from B is found to contain 29% of spirit and a mixture of 1 part from A and 9 parts from B is found to contain 34 per cent of spirit. Find the percentage of spirit in B and A.

1. A. 35, 25       Correct Answer
2. B. 40, 20      
3. C. 25, 25      
4. D. 50, 50      

61.  

    
    

    Several litres of acid were drawn off a 54-litre vessel full of acid and an equal amount of water added. Again the same volume of the mixture was drawn off and replaced by water. As a result, the vessel contained 24 litres of pure acid. How much of the acid was drawn off initially?

1. A. 12 litres     
2. B. 16 litres      
3. C. 18 litres        Correct Answer
4. D. 24 litres