164 + Mcqs in Alligation or Mixture Page 2 McqOptions

51.	Price of 1 kg of sugar is increased by 30% and the increase is of Rs 48. What is the new price (in Rs) of the sugar per kg?
A.	178
B.	160
C.	208
D.	216
Answer» D. 216

Discussion

52.	Rahul adds 2 litres of alcohol in 6 litres of water and Dinesh adds 1 litres of alcohol in 9 litres of water. What is the ratio of the percentage of alcohol in theÂ two mixtures?_x005F_x000D_
A.	0.29444444444444
B.	0.084027777777778
C.	0.20972222222222
D.	0.33541666666667
Answer» D. 0.33541666666667

Discussion

53.	One type of liquid contains 25 % of benzene, the other contains 30% of benzene. A can is filled with 6 parts of the first liquid and 4 parts of the second liquid. Find the percentage of benzene in the new mixture.
A.	0.27
B.	0.26
C.	0.29
D.	0.21
Answer» B. 0.26

Discussion

54.	Milk and water are mixed in a vessel A as 4:1 and in vessel B as 3:2. For vessel C, if one takes equal quantities from A and B, find the ratio of milk to water in C.
A.	0.047916666666667
B.	0.37569444444444
C.	0.12986111111111
D.	0.29375
Answer» E.

Discussion

55.	Manideep purchases 30kg of barley at the rate of 11.50/kg and 20kg at the rate of 14.25/kg. He mixed the two and sold the mixture in the shop. At what price per kg should he sell the mixture to make 30% profit to him ?
A.	15.84
B.	14.92
C.	13.98
D.	16.38
Answer» E.

Discussion

56.	Jar A has 36 litres of mixture of milk and water in the respective ratio of 5 : 4. Jar B which had 20 litres of mixture of milk and water, was emptied into jar A, and as a result in jar A, the respective ratio of milk and water becomes 5: 3. What was the quantity of water in jar B?
A.	5 lit
B.	3 lit
C.	8 lit
D.	2 lit
Answer» B. 3 lit

Discussion

57.	In what ratio wheat costing Rs 17/kg mixed with another wheat costing Rs 12/kg to get a mixture costing Rs 13.5/ kg?_x005F_x000D_
A.	1 : 2_x005F_x000D_
B.	2 : 5_x005F_x000D_
C.	3 : 7_x005F_x000D_
D.	0.17291666666667
Answer» D. 0.17291666666667

Discussion

58.	In what ratio sugar of Rs 38 per kg and Rs 30 per kg be mixed with each other so that on selling mixture at Rs 35.2 per kg there will be a profit of 10%?
A.	0.04375
B.	0.12986111111111
C.	0.54652777777778
D.	0.37777777777778
Answer» B. 0.12986111111111

Discussion

59.	In what ratio should tea costing Rs 300/kg be mixed with tea costing Rs 200/kg so that the cost of the mixture is Rs 225/kg?
A.	0.12569444444444
B.	0.04375
C.	0.044444444444444
D.	0.16736111111111
Answer» C. 0.044444444444444

Discussion

60.	In what ratio salt costing Rs 13/kg mixed with another salt costing Rs 7/ kg to get a mixture costing Rs 9/kg?_x005F_x000D_
A.	4 : 7_x005F_x000D_
B.	3 : 5_x005F_x000D_
C.	2 : 3_x005F_x000D_
D.	0.043055555555556
Answer» E.

Discussion

61.	In what ratio should coffee powder costing Rs 2500/kg be mixed with coffee powder costing Rs 1500/kg so that the cost of the mixture is Rs 2250/kg?
A.	0.044444444444444
B.	0.16736111111111
C.	0.12569444444444
D.	0.04375
Answer» D. 0.04375

Discussion

62.	In what ratio rice costing Rs 14/kg mixed with another rice costing Rs 11/kg to get the mixture costing Rs 11.6/kg?_x005F_x000D_
A.	0.086805555555556
B.	0.044444444444444
C.	0.04375
D.	0.045138888888889
Answer» E.

Discussion

63.	In what ratio must wheat at Rs. 3.20/kg be mixed with wheat at Rs. 2.90/kg so that the mixture be worth Rs. 3/kg?
A.	0.043055555555556
B.	0.12638888888889
C.	0.084027777777778
D.	0.085416666666667
Answer» D. 0.085416666666667

Discussion

64.	In what ratio must a mixture of 20% milk strength be mixed with that of 60% milk strength so as to get a new mixture of 25% milk strength ?
A.	0.29236111111111
B.	0.16736111111111
C.	0.20972222222222
D.	0.37638888888889
Answer» B. 0.16736111111111

Discussion

65.	In what ratio must a merchant mix two varieties of oils worth Rs. 60/kg and Rs. 65/kg, so that by selling the mixture at Rs. 68.20/kg, he may gain 10% ?
A.	0.085416666666667
B.	0.16875
C.	0.12777777777778
D.	0.12638888888889
Answer» E.

Discussion

66.	In what ratio must a mixture of 15% spirit strength be mixed with that of 25% spirit strength to get a mixture of 21% spirit strength?_x005F_x000D_
A.	0.04375
B.	0.085416666666667
C.	0.12777777777778
D.	0.17013888888889
Answer» C. 0.12777777777778

Discussion

67.	In what ratio must a mixture of 11% sugar strength be mixed with that of 25% sugar strength so as to get a new mixture of 13% sugar strength?
A.	0.20902777777778
B.	0.25069444444444
C.	0.29305555555556
D.	0.41875
Answer» C. 0.29305555555556

Discussion

68.	In two types of brass, the ratios of Copper to Zinc are 8:3 and 15:7 respectively. If the two types of brass be melted and mixed in the ratio 5:2 a new typeÂ of brass is obtained. The ratio of Copper to Zinc in this new type of brass is
A.	0.12638888888889
B.	0.085416666666667
C.	0.12777777777778
D.	0.20972222222222
Answer» E.

Discussion

69.	In an amalgam, mercury and silver are in the ratio of 3 : 7. In the second amalgam, the ratio of same elements is 1 : 9. If equal quantities of these twoÂ amalgam are mixed to form a new amalgam, then what will be the ratio of both of these elements in the new amalgam?_x005F_x000D_
A.	0.044444444444444
B.	0.34791666666667
C.	0.17708333333333
D.	0.088194444444444
Answer» B. 0.34791666666667

Discussion

70.	In an alloy, aluminium and tin are in the ratio of 4 : 5. In the second alloy, the ratio of same elements is 4 : 7. If equal quantities of these two alloys be mixed to form a new alloy, then what will be the ratio of both of these elements in the new alloy?
A.	0.085416666666667
B.	0.69097222222222
C.	0.17013888888889
D.	1.7076388888889
Answer» E.

Discussion

71.	In the 75 litres of mixture of milk and water, the ratio of milk and water is 4:1. The quantity of water required to make the ratio of milk and water 3:1 is
A.	1 litre
B.	3 litres
C.	4 litres
D.	5 litres
Answer» E.

Discussion

72.	In an alloy of German silver. the ratio of copper to zinc was 21 : 16 while that of nickel to zinc was 7 : 24.Â What was the ratio of copper to zinc to nickel in the alloy?_x005F_x000D_
A.	0.88619212962963
B.	0.72296296296296
C.	2.6584953703704
D.	2.8530208333333
Answer» D. 2.8530208333333

Discussion

73.	In a triangle XYZ , which of the following conditions is true
A.	XY Â YZ > ZX
B.	XY + YZ < ZX
C.	XY Â YZ < XZ
D.	XY + ZX < YZ
Answer» D. XY + ZX < YZ

Discussion

74.	In a pot, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk, the pot would be full and ratio of milk and water would become 6 : 5. Find the capacity of the pot ?
A.	11 lit
B.	22 lit
C.	33 lit
D.	44 lit
Answer» C. 33 lit

Discussion

75.	In a mixture, water and milk are in the ratio of 3 : 5. In the second mixture, the ratio of water and milk is 9 : 11. If these two mixtures be mixed to form anew mixture in which water and milk are in ratio 5 : 7, then what is the ratio of these two mixtures in the new mixture?
A.	0.043055555555556
B.	0.12638888888889
C.	0.17013888888889
D.	0.17152777777778
Answer» D. 0.17152777777778

Discussion

76.	In a mixture, unbroken and broken rice grains are in the ratio 3 : 2. How much fraction of the mixture must be drawn off and substituted with broken grains, so that the ratio of unbroken and broken grains becomes 1 : 1?_x005F_x000D_
A.	44256
B.	44348
C.	44287
D.	44318
Answer» C. 44287

Discussion

77.	In a mixture, the ratio of juice and water is 4 : 3. By adding 6 litre water the ratio of juice and water will be 8 : 7. What is the amount of juice in the original mixture ?
A.	38 lit
B.	96 lit
C.	48 lit
D.	52 lit
Answer» D. 52 lit

Discussion

78.	In a mixture, sugar and milk are in the ratio 4 : 5. If 7 litres of milk is added to it, then the ratio of sugar and milk in the new mixture becomes 2 : 3. What is the total quantity (In litres) of sugar in new mixture?_x005F_x000D_
A.	35
B.	28
C.	42
D.	24
Answer» C. 42

Discussion

79.	In a mixture of milk and water, there is only 26% water. After replacing the mixture with 7 liters of pure milk , the percentage of milk in the mixture Â become 76%. The quantity of mixture is:
A.	65 liters
B.	91 liters
C.	38 liters
D.	None of these
Answer» C. 38 liters

Discussion

80.	In a mixture of 60 litres, the ratio of milk and water is 2:1. What amount of water must be added to make the ratio of milk and water as 1:2?
A.	42 Litres
B.	56 Litres
C.	60 Litres
D.	77 Litres
Answer» D. 77 Litres

Discussion

81.	In a mixture of milk and water, there is 19% milk. If the quantity of milk in the mixture is 437 mililitres, then what is the total quantity (in millilitres) of mixture?
A.	2300
B.	2200
C.	2350
D.	2400
Answer» B. 2200

Discussion

82.	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)
A.	0.8
B.	0.7
C.	0.75
D.	0.62
Answer» B. 0.7

Discussion

83.	In a mixture of 45 litres, the ratio of liquid A and liquid B is 7 : 2. If 11 litres of liquid B is added to the mixture, then what will be the ratio of liquid A and liquid B in the new mixture?_x005F_x000D_
A.	0.29444444444444
B.	0.33680555555556
C.	6 : 5_x005F_x000D_
D.	0.21041666666667
Answer» E.

Discussion

84.	In a mixture of 35 litres, the ratio of milk and water is 4:1. If 7 litres of water is added to the mixture, the ratio of milk and water of the new mixture will be
A.	0.084027777777778
B.	0.043055555555556
C.	0.17013888888889
D.	0.21111111111111
Answer» B. 0.043055555555556

Discussion

85.	In a mixture of 25 litres, the ratio of milk to water is 4:1. Another 3 litres ofÂ water is added to the mixture. The ratio of milk to water in the new mixture is
A.	0.20902777777778
B.	0.20972222222222
C.	0.21041666666667
D.	0.21111111111111
Answer» C. 0.21041666666667

Discussion

86.	In a mixture of 35 litres, the ratio of water and acid is 6 : 1. If 5 litres of acid is added to the mixture, then what will be the ratio of water and acid in the newÂ Â mixture?_x005F_x000D_
A.	0.20972222222222
B.	0.16736111111111
C.	0.12569444444444
D.	0.25347222222222
Answer» D. 0.25347222222222

Discussion

87.	In a mixture of 240 lt. water is 20% and rest is Milk. What quantity of mixture should be taken out and replaced with water so that water becomes 40%?
A.	60 lit
B.	55 lit
C.	45 lit
D.	50 lit
Answer» B. 55 lit

Discussion

88.	In a mixture of 165 litres, the ratio of liquids X and Y is 6 : 5. If 5 litres of liquid Y is added in the mixture, then what is the ratio of X and Y in the new mixture?_x005F_x000D_
A.	0.42291666666667
B.	8 : 7_x005F_x000D_
C.	9 : 8_x005F_x000D_
D.	0.21111111111111
Answer» D. 0.21111111111111

Discussion

89.	In a container, two types of liquids P and Q are in the ratio of 3 : 7. If 10 litres mixture is drawn off from the container and filled with 6 litres of liquid Q,then the ratio of P and Q becomes 1 : 3. What was the original quantity (in litres) of mixture?
A.	34
B.	36
C.	30
D.	40
Answer» E.

Discussion

90.	In a container, there is 960 ltr of pure milk from which 48 ltr of milk is replaced with 48 ltr of water, again 48 ltr milk is replaced by same amount of water, as this process is done once more. Now, what is the amount of pure milk?
A.	901.54 ltr
B.	821.54 ltr
C.	719.64 ltr
D.	823.08 ltr
Answer» E.

Discussion

91.	In a mixture 25 liters, the ratio of milk and water is 4:1. How many liters of milk must be added to make the ratio 16:1?_x005F_x000D_
A.	21
B.	25
C.	60
D.	36
Answer» D. 36

Discussion

92.	In a mixture, ink and water are in the ratio of 8 : 5. If 24 litres of water is added to the mixture, then the new ratio becomes 8 : 11. What is the total quantityÂ (in litres) of water in the new mixture?
A.	40
B.	42
C.	44
D.	48
Answer» D. 48

Discussion

93.	In a colored picture of blue and yellow color, blue and yellow color is used in the ratio of 4:3 respectively. If in upper half, blue : yellow is 2:3, then in theÂ lower half blue : yellow is
A.	0.042361111111111
B.	0.084027777777778
C.	1.0895833333333
D.	0.39305555555556
Answer» D. 0.39305555555556

Discussion

94.	In a bucket, paint and oil are in the ratio 7 : 5. 24 litres of mixture is drawn off and 24 litres of oil is added. If the ratio of paint and oil becomes 1 : 1, then how many litres of paint was contained in the bucket initially?_x005F_x000D_
A.	49_x005F_x000D_
B.	63_x005F_x000D_
C.	84_x005F_x000D_
D.	98
Answer» E.

Discussion

95.	In a 48 ltr mixture, the ratio of milk and water is 5:3. How much water should be added in the mixture so as the ratio will become 3:5 ?
A.	24 lit
B.	16 lit
C.	32 lit
D.	8 lit
Answer» D. 8 lit

Discussion

96.	In a 100 litre of mixture the ratio of milk and water is 6:4. How much milk must be added to the mixture in order to make the ratio 3 : 1?
A.	85
B.	60
C.	55
D.	45
Answer» C. 55

Discussion

97.	In a 40 litre mixture of alcohol & water, the ratio of alcohol and water is 5 : 3. If 20% of this mixture is taken out and the same amount of water is added then what will be the ratio of alcohol and water in final mixture?
A.	0.042361111111111
B.	0.084027777777778
C.	0.12569444444444
D.	0.043055555555556
Answer» B. 0.084027777777778

Discussion

98.	In 250 litres mixture of soda and water the ratio of amount of soda to that of water is 7 : 18. In order to make this ratio 2 : 3, how many more litres of soda should be added?
A.	37.5
B.	42.5
C.	45
D.	50
Answer» E.

Discussion

99.	If a man buys 1 lt of milk for Rs.12 and mixes it with 20% water and sells it for Rs.15, then what is the percentage of gain ?
A.	0.25
B.	0.3
C.	0.17
D.	0.19
Answer» B. 0.3

Discussion

100.	If a dairy mixes cow's milk which contains 10% fat with buffalo's milk which contains 20% fat, then the resulting mixture has fat (120/7)% of fat. What ratioÂ was the cow's milk mixed with buffalo's milk?
A.	0.086805555555556
B.	0.045138888888889
C.	0.085416666666667
D.	0.084027777777778
Answer» B. 0.045138888888889

Discussion

Explore topic-wise MCQs in Arithmetic Ability.

Price of 1 kg of sugar is increased by 30% and the increase is of Rs 48. What is the new price (in Rs) of the sugar per kg?

Rahul adds 2 litres of alcohol in 6 litres of water and Dinesh adds 1 litres of alcohol in 9 litres of water. What is the ratio of the percentage of alcohol in theÂ two mixtures?_x005F_x000D_

One type of liquid contains 25 % of benzene, the other contains 30% of benzene. A can is filled with 6 parts of the first liquid and 4 parts of the second liquid. Find the percentage of benzene in the new mixture.

Milk and water are mixed in a vessel A as 4:1 and in vessel B as 3:2. For vessel C, if one takes equal quantities from A and B, find the ratio of milk to water in C.

Manideep purchases 30kg of barley at the rate of 11.50/kg and 20kg at the rate of 14.25/kg. He mixed the two and sold the mixture in the shop. At what price per kg should he sell the mixture to make 30% profit to him ?

Jar A has 36 litres of mixture of milk and water in the respective ratio of 5 : 4. Jar B which had 20 litres of mixture of milk and water, was emptied into jar A, and as a result in jar A, the respective ratio of milk and water becomes 5: 3. What was the quantity of water in jar B?

In what ratio wheat costing Rs 17/kg mixed with another wheat costing Rs 12/kg to get a mixture costing Rs 13.5/ kg?_x005F_x000D_

In what ratio sugar of Rs 38 per kg and Rs 30 per kg be mixed with each other so that on selling mixture at Rs 35.2 per kg there will be a profit of 10%?

In what ratio should tea costing Rs 300/kg be mixed with tea costing Rs 200/kg so that the cost of the mixture is Rs 225/kg?

In what ratio salt costing Rs 13/kg mixed with another salt costing Rs 7/ kg to get a mixture costing Rs 9/kg?_x005F_x000D_

In what ratio should coffee powder costing Rs 2500/kg be mixed with coffee powder costing Rs 1500/kg so that the cost of the mixture is Rs 2250/kg?

In what ratio rice costing Rs 14/kg mixed with another rice costing Rs 11/kg to get the mixture costing Rs 11.6/kg?_x005F_x000D_

In what ratio must wheat at Rs. 3.20/kg be mixed with wheat at Rs. 2.90/kg so that the mixture be worth Rs. 3/kg?

In what ratio must a mixture of 20% milk strength be mixed with that of 60% milk strength so as to get a new mixture of 25% milk strength ?

In what ratio must a merchant mix two varieties of oils worth Rs. 60/kg and Rs. 65/kg, so that by selling the mixture at Rs. 68.20/kg, he may gain 10% ?

In what ratio must a mixture of 15% spirit strength be mixed with that of 25% spirit strength to get a mixture of 21% spirit strength?_x005F_x000D_

In what ratio must a mixture of 11% sugar strength be mixed with that of 25% sugar strength so as to get a new mixture of 13% sugar strength?

In two types of brass, the ratios of Copper to Zinc are 8:3 and 15:7 respectively. If the two types of brass be melted and mixed in the ratio 5:2 a new typeÂ of brass is obtained. The ratio of Copper to Zinc in this new type of brass is

In an amalgam, mercury and silver are in the ratio of 3 : 7. In the second amalgam, the ratio of same elements is 1 : 9. If equal quantities of these twoÂ amalgam are mixed to form a new amalgam, then what will be the ratio of both of these elements in the new amalgam?_x005F_x000D_

In an alloy, aluminium and tin are in the ratio of 4 : 5. In the second alloy, the ratio of same elements is 4 : 7. If equal quantities of these two alloys be mixed to form a new alloy, then what will be the ratio of both of these elements in the new alloy?

In the 75 litres of mixture of milk and water, the ratio of milk and water is 4:1. The quantity of water required to make the ratio of milk and water 3:1 is

In an alloy of German silver. the ratio of copper to zinc was 21 : 16 while that of nickel to zinc was 7 : 24.Â What was the ratio of copper to zinc to nickel in the alloy?_x005F_x000D_

In a triangle XYZ , which of the following conditions is true

In a pot, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk, the pot would be full and ratio of milk and water would become 6 : 5. Find the capacity of the pot ?

In a mixture, water and milk are in the ratio of 3 : 5. In the second mixture, the ratio of water and milk is 9 : 11. If these two mixtures be mixed to form anew mixture in which water and milk are in ratio 5 : 7, then what is the ratio of these two mixtures in the new mixture?

In a mixture, unbroken and broken rice grains are in the ratio 3 : 2. How much fraction of the mixture must be drawn off and substituted with broken grains, so that the ratio of unbroken and broken grains becomes 1 : 1?_x005F_x000D_

In a mixture, the ratio of juice and water is 4 : 3. By adding 6 litre water the ratio of juice and water will be 8 : 7. What is the amount of juice in the original mixture ?

In a mixture, sugar and milk are in the ratio 4 : 5. If 7 litres of milk is added to it, then the ratio of sugar and milk in the new mixture becomes 2 : 3. What is the total quantity (In litres) of sugar in new mixture?_x005F_x000D_

In a mixture of milk and water, there is only 26% water. After replacing the mixture with 7 liters of pure milk , the percentage of milk in the mixture Â become 76%. The quantity of mixture is:

In a mixture of 60 litres, the ratio of milk and water is 2:1. What amount of water must be added to make the ratio of milk and water as 1:2?

In a mixture of milk and water, there is 19% milk. If the quantity of milk in the mixture is 437 mililitres, then what is the total quantity (in millilitres) of mixture?

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)

In a mixture of 45 litres, the ratio of liquid A and liquid B is 7 : 2. If 11 litres of liquid B is added to the mixture, then what will be the ratio of liquid A and liquid B in the new mixture?_x005F_x000D_

In a mixture of 35 litres, the ratio of milk and water is 4:1. If 7 litres of water is added to the mixture, the ratio of milk and water of the new mixture will be

In a mixture of 25 litres, the ratio of milk to water is 4:1. Another 3 litres ofÂ water is added to the mixture. The ratio of milk to water in the new mixture is

In a mixture of 35 litres, the ratio of water and acid is 6 : 1. If 5 litres of acid is added to the mixture, then what will be the ratio of water and acid in the newÂ Â mixture?_x005F_x000D_

In a mixture of 240 lt. water is 20% and rest is Milk. What quantity of mixture should be taken out and replaced with water so that water becomes 40%?

In a mixture of 165 litres, the ratio of liquids X and Y is 6 : 5. If 5 litres of liquid Y is added in the mixture, then what is the ratio of X and Y in the new mixture?_x005F_x000D_

In a container, two types of liquids P and Q are in the ratio of 3 : 7. If 10 litres mixture is drawn off from the container and filled with 6 litres of liquid Q,then the ratio of P and Q becomes 1 : 3. What was the original quantity (in litres) of mixture?

In a container, there is 960 ltr of pure milk from which 48 ltr of milk is replaced with 48 ltr of water, again 48 ltr milk is replaced by same amount of water, as this process is done once more. Now, what is the amount of pure milk?

In a mixture 25 liters, the ratio of milk and water is 4:1. How many liters of milk must be added to make the ratio 16:1?_x005F_x000D_

In a mixture, ink and water are in the ratio of 8 : 5. If 24 litres of water is added to the mixture, then the new ratio becomes 8 : 11. What is the total quantityÂ (in litres) of water in the new mixture?

In a colored picture of blue and yellow color, blue and yellow color is used in the ratio of 4:3 respectively. If in upper half, blue : yellow is 2:3, then in theÂ lower half blue : yellow is

In a bucket, paint and oil are in the ratio 7 : 5. 24 litres of mixture is drawn off and 24 litres of oil is added. If the ratio of paint and oil becomes 1 : 1, then how many litres of paint was contained in the bucket initially?_x005F_x000D_

In a 48 ltr mixture, the ratio of milk and water is 5:3. How much water should be added in the mixture so as the ratio will become 3:5 ?

In a 100 litre of mixture the ratio of milk and water is 6:4. How much milk must be added to the mixture in order to make the ratio 3 : 1?

In a 40 litre mixture of alcohol & water, the ratio of alcohol and water is 5 : 3. If 20% of this mixture is taken out and the same amount of water is added then what will be the ratio of alcohol and water in final mixture?

In 250 litres mixture of soda and water the ratio of amount of soda to that of water is 7 : 18. In order to make this ratio 2 : 3, how many more litres of soda should be added?

If a man buys 1 lt of milk for Rs.12 and mixes it with 20% water and sells it for Rs.15, then what is the percentage of gain ?

If a dairy mixes cow's milk which contains 10% fat with buffalo's milk which contains 20% fat, then the resulting mixture has fat (120/7)% of fat. What ratioÂ was the cow's milk mixed with buffalo's milk?