1 litre of water at 40°C is mixed with 1 litre of water at 60°C. What will be the approximate temperature of water after a certain time?

More than 60°C but less than 100°C

A container is filled with 300 litres of hydrogen gas. The day it loses 100 litres of hydrogen gas and every day it loses one-third of the volume it lost in the previous day. Then the container

possesses at least 150 litres of hydrogen gas on 100th day

loses entire hydrogen gas in 3 days

loses entire hydrogen gas in 10 days

loses 150 litres of hydrogen gas in 10 days

possesses at least 150 litres of hydrogen gas on 100th day

191 + Mcqs in Problems in Vlsi Page 2 McqOptions

51.	Fill in the blanks: X, a milkman adds 3 litres of water to 10 litres of milk. The milk Y sells is 18% water. The water content in the milk Z sells is 6/31. Arrange the vendors in decreasing order of the quality of the milk.
A.	X, Y, Z
B.	Z, Y, X
C.	Z, X, Y
D.	Y, Z, X
Answer» E.

Discussion

52.	A mixture contains milk and water in the ratio (by volume) 5 : 3 and another mixture of the same volume as that of the former, contains water and milk in the ratio (by volume) 1 : 3. In what ratio, two mixture be mixed in order to obtain a new mixture consisting of milk and water in the ratio (by volume) 7 : 3?
A.	3 : 4
B.	3 : 2
C.	2 : 3
D.	5 : 6
Answer» D. 5 : 6

Discussion

53.	A solution contains petrol and kerosene in the ratio of 3 ∶ 5. 16 liters of the solution has been replaced with petrol to create a ratio of 5 ∶ 3. Find the original amount of kerosene in the solution.
A.	40 liters
B.	35 liters
C.	30 liters
D.	25 liters
Answer» E.

Discussion

54.	If 10 litres of milk-water mixture in ratio 3 ∶ 2 is mixed with 10 litres of another milk-water mixture in ratio 4 ∶ 1, then find the quantity of water in the new mixture.
A.	2 litres
B.	3 litres
C.	4 litres
D.	6 litres
E.	9 litres
Answer» E. 9 litres

Discussion

55.	In 60 litres mixture of milk and water, the ratio of volumes of milk and water is 3 : 2. If we want the ratio of the volumes of milk and water to be 1 : 1, then how water should be added to the mixture?
A.	10 litres
B.	12 litres
C.	16 litres
D.	14 litres
Answer» C. 16 litres

Discussion

56.	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.	2 ∶ 3
B.	16 ∶ 35
C.	4 ∶ 5
D.	40 ∶ 59
Answer» E.

Discussion

57.	20 litres of a mixture contains milk and water in the ratio 3 : 1.Then the amount of milk to be added to the mixture so as to have milk and water in ratio 4 : 1
A.	7 liters
B.	4 liters
C.	5 liters
D.	6 liters
Answer» D. 6 liters

Discussion

58.	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 two amalgam are mixed to form a new amalgam, then what will be the ratio of both of these elements in the new amalgam?
A.	1 ∶ 4
B.	7 ∶ 81
C.	4 ∶ 15
D.	2 ∶ 7
Answer» B. 7 ∶ 81

Discussion

59.	A mixture of 40 litres of milk and water contains 10% water. How much water (in litres) should be added so that the water is 20% in the new mixture?
A.	4
B.	5
C.	7
D.	8
E.	None of these
Answer» C. 7

Discussion

60.	A vessel contains a mixture of milk and water in the ratio of 4 : 5. If 27 liters of milk is added to it, the ratio of the milk and water in it would reverse. Find the quantity of mixture initially.
A.	81 litres
B.	135 litres
C.	162 litres
D.	108 litres
Answer» E.

Discussion

61.	300 gm of sugar solution has 40% sugar in it. How much sugar should be added to make it 50% in the solution?
A.	30 gm
B.	40 gm
C.	50 gm
D.	60 gm
Answer» E.

Discussion

62.	In a 50 litre can; milk and water is in the ratio 3 : 1. If the ratio has to be made 1 : 3, then the quantity of water that has to be added further is:
A.	120 litre
B.	100 litre
C.	80 litre
D.	90 litre
Answer» C. 80 litre

Discussion

63.	How much water should be mixed in 39 litres of milk worth Rs. 6.00 per litre so that the resulting mixture is worth Rs. 4.50 per litre?
A.	13 litres
B.	14 litres
C.	11 litres
D.	16 litres
Answer» B. 14 litres

Discussion

64.	A person mixes a variety- I of sugar worth Rs. 35 per kg with variety-II of worth Rs. 25 per kg. If the price of the mixture is Rs. 29 per kg, then what is the ratio of the two varieties of sugar in the mixture?
A.	2 : 3
B.	1 : 4
C.	5 : 7
D.	7 : 5
Answer» B. 1 : 4

Discussion

65.	In a mixture of 60 litres, milk and water are in the ratio 2 : 1. Find the quantity of water to be added to make the ratio 4 : 3
A.	12 liters
B.	10 liters
C.	15 liters
D.	20 liters
Answer» C. 15 liters

Discussion

66.	Ramesh mixes 15 kg of sugar purchased at the rate of Rs. 10 per kg with 25 kg of sugar purchased at the rate of Rs. 12 per kg. At what rate per kg, should Ramesh sell the mixture to get a profit of Rs. 3 per kg?
A.	Rs. 14.00
B.	Rs. 12.25
C.	Rs. 14.25
D.	Rs. 12.50
Answer» D. Rs. 12.50

Discussion

67.	In a 56 lilters mixture of milk and water, the ratio of milk to water is 5 : 2. In order to make the ratio of milk to water 7 : 2, some quantity of milk is to be added to the mixture. The quantity of the milk present in the new mixture will be:
A.	40 liters
B.	16 liters
C.	56 liters
D.	48 liters
Answer» D. 48 liters

Discussion

68.	If the 20 liters mixture of milk and water contains 60% milk. If x L of milk added then the mixture contains 80% milk. Now if 40% mixture is emptied in another flask. Find the remaining quantity of milk in remaining mixture.
A.	19.2 L
B.	16.2 L
C.	14.2 L
D.	21.2 L
E.	12.2 L
Answer» B. 16.2 L

Discussion

69.	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
A.	400 kg
B.	560 kg
C.	600 kg
D.	640 kg
Answer» D. 640 kg

Discussion

70.	A container contains 20 L mixture in which there is 10% sulphuric acid. Find the quantity of sulphuric acid to be added in it to make the solution to contain 25% sulphuric acid.
A.	3 L
B.	4 L
C.	2 L
D.	5 L
Answer» C. 2 L

Discussion

71.	In a mixture of 80 litres of petrol and ethanol, 25% of the mixture is petrol. How much ethanol should be added to the mixture so that petrol becomes 20% of the mixture?
A.	25 litres
B.	15 litres
C.	30 litres
D.	20 litres
Answer» E.

Discussion

72.	A drum contains 80 litres of ethanol. 20 litres of this liquid is removed and replaced with water. 20 litres of this mixture is again removed and replaced with water. How much water (in litres) is present in this drum now?
A.	45
B.	40
C.	35
D.	44
Answer» D. 44

Discussion

73.	In the mixture of 56 liters, the ratio of milk and water is 3 : 4. If this ratio is changed to 3 : 5, then tell the amount of excess water (in liters) mixed in the mixture.
A.	9
B.	6
C.	7
D.	8
Answer» E.

Discussion

74.	A beaker contains acid and water in the ratio 1 ∶ x. When 300 ml of the previous mixture and 50 ml of water are mixed, the ratio of acid and water becomes 2 ∶ 5. What is the value of x?
A.	2
B.	1
C.	3
D.	4
Answer» B. 1

Discussion

75.	A man buys 10 kg sugar at a price of Rs. 32 per kg. This sugar is mixed with 7 kg precious sugar to get a mixture at a price of Rs. 38 per kg. Find the price of the precious sugar (correct up to 2 decimal points).
A.	Rs. 46.17
B.	Rs. 46.07
C.	Rs. 46.57
D.	Rs. 46.37
Answer» D. Rs. 46.37

Discussion

76.	7 litres mixture of milk and water contains 30% water. 3.5 litres of milk is added to this mixture. What is the percentage of water in the new mixture?
A.	10
B.	15
C.	20
D.	25
Answer» D. 25

Discussion

77.	A jar contains a blend of a fruit juice and water in the ratio 5 ∶ x. When 1 litre of water is added to 4 litres of the blend the ratio of fruit juice to water becomes 1 ∶ 1. What is the value of x?
A.	3
B.	1
C.	2
D.	4
Answer» B. 1

Discussion

78.	A mixture contains 15 kg of rice at Rs. 60 per kg and 25 kg of rice at X per kg are mixed and sold at Rs. 97.5 per kg. The profit earned by the seller is 30%. What will be the value of x?
A.	72
B.	84
C.	80
D.	77
E.	70
Answer» C. 80

Discussion

79.	In a mixture of wheat and barley, wheat is 60% of 400 kg of mixture. Further, some quantity of barley is added and percentage of wheat becomes \(53\frac{1}{3}\)%. How many kg of barley is added?
A.	25
B.	50
C.	80
D.	40
Answer» C. 80

Discussion

80.	A mixture contains milk and water in the ratio 4 ∶ 3 (by volume). If 4 litres of water is added to it, then the ratio becomes 1 ∶ 1. What is the quantity of milk in the initial mixture?
A.	20 litres
B.	16 litres
C.	12 litres
D.	18 litres
Answer» C. 12 litres

Discussion

81.	A bucket contains 50 litres of mixture of water and milk in the ration of 3 : 5. 10 litres of this mixture is removed and replaced with an equal quantity of water. If this process is repeated once more. Find the ratio of water and milk in the final mixture obtained?
A.	3 : 2
B.	2 : 5
C.	3 : 1
D.	3 : 5
Answer» B. 2 : 5

Discussion

82.	In a mixture of 126 litre the ratio of water and milk is 2 : 5 respectively. How much water (in litre) must be added to make the ratio of water and milk as 2 : 3 respectively?
A.	16
B.	24
C.	18
D.	20
Answer» C. 18

Discussion

83.	In a mixture of 50 litres, milk and water are in the ratio of 4: 1 respectively. How much milk should be added to this mixture so that the ratio of milk and water becomes 9: 1 respectively?
A.	50 Litres
B.	8 Litres
C.	40 Litres
D.	70 Litres
Answer» B. 8 Litres

Discussion

84.	A mixture contains acid and water in the ratio of 7 : 3. If 4 litres of water is added to it, then the ratio of acid and water becomes 7 : 4. What is the quantity (in litres) of acid in the mixture?
A.	28
B.	22
C.	20
D.	32
Answer» B. 22

Discussion

85.	A vessel is filled with a liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture is half water and half syrup?
A.	1/3
B.	¼
C.	1/5
D.	1/7
Answer» D. 1/7

Discussion

86.	1 litre of water at 40°C is mixed with 1 litre of water at 60°C. What will be the approximate temperature of water after a certain time?
A.	100°C
B.	Between 40°C and 60°C
C.	More than 60°C but less than 100°C
D.	20 0C
Answer» C. More than 60°C but less than 100°C

Discussion

87.	If x beakers of 100 ml containing 1 ∶ 4 acid-water solution are mixed with y beakers of 200 ml containing 3 ∶ 17 acid-water solution then the ratio of acid to water in the resulting mixture becomes 19 : 91. Find x ∶ y.
A.	5 ∶ 3
B.	3 ∶ 5
C.	7 ∶ 13
D.	13 ∶ 7
Answer» B. 3 ∶ 5

Discussion

88.	In a mixture of 60 liters, the ratio of milk and water is 2 : 1 respectively. How much more water must be added to make its ratio 1 : 2 respectively?
A.	60 litres
B.	40 litres
C.	54 litres
D.	52 litres
Answer» B. 40 litres

Discussion

89.	In an alloy (A), zinc and copper are in the ratio 1 ∶ 2. In the second alloy (B). zinc and copper are in the ratio 2 ∶ 3. In what ratio should these two alloys A and B be mixed to form a new alloy in which the ratio of copper and zinc is 8 ∶ 5?
A.	1 ∶ 3
B.	2 ∶ 7
C.	3 ∶ 10
D.	4 ∶ 13
Answer» D. 4 ∶ 13

Discussion

90.	A mixture of liquids A and B in a jar is in the ratio of 4 ∶ 1. If 10 liters are taken out of that mixture and the same amount of liquid B is added in its place, then the ratio of the mixture will be 2 ∶ 3. Accordingly, what was the amount of liquid A in the initial mixture in the jar?
A.	20 liters
B.	10 liters
C.	16 liters
D.	15 liters
Answer» D. 15 liters

Discussion

91.	In what ratio a man must mix pulses at Rs. 11.10 per kg with Rs. 15.20 per kg pulse so as to make a mixture worth Rs. 13.20 per kg?
A.	4 : 3
B.	16 : 27
C.	4 : 7
D.	20 : 21
Answer» E.

Discussion

92.	A 120 litres mixture of milk and water contains 40% milk. How much milk (in litres) must be added so that milk becomes 50%?
A.	28
B.	30
C.	24
D.	32
Answer» D. 32

Discussion

93.	Alloy A contains metals x and y only in the ratio 5 : 2 and alloy B contains these metals in the ratio 3 : 4. Alloy C is prepared by mixing A and B in the ratio 4 : 5. The percentage of x in alloy C is:
A.	45 %
B.	56 %
C.	\(44 \frac{4}{9}\) %
D.	\(55 \frac{5}{9}\) %
Answer» E.

Discussion

94.	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?
A.	35
B.	28
C.	42
D.	24
Answer» C. 42

Discussion

95.	A container is filled with 300 litres of hydrogen gas. The day it loses 100 litres of hydrogen gas and every day it loses one-third of the volume it lost in the previous day. Then the container
A.	loses entire hydrogen gas in 3 days
B.	loses entire hydrogen gas in 10 days
C.	loses 150 litres of hydrogen gas in 10 days
D.	possesses at least 150 litres of hydrogen gas on 100th day
Answer» D. possesses at least 150 litres of hydrogen gas on 100th day

Discussion

96.	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 1 : 2?
A.	42 Litres
B.	56 Litres
C.	60 Litres
D.	77 Litres
Answer» D. 77 Litres

Discussion

97.	An alloy is made by mixing metal A costing Rs. 2000/kg and metal B costing Rs. 400/kg in the ratio A ∶ B = 3 ∶ 1. What is the cost (in Rs.) of 8 kilograms of this alloy?
A.	1600
B.	9800
C.	6400
D.	12800
Answer» E.

Discussion

98.	A vessel contains a solution of two liquids A and B in the ratio 5 : 3. When 10 liters of the solution is taken out and replaced by the same quantity of B, the ratio of A and B in the vessel becomes 10 : 11. The quantity (in litres) of the solution, in the vessel, was ______.
A.	44
B.	42
C.	48
D.	52
Answer» C. 48

Discussion

99.	In what ratio should Rs 46 per kg rice be mixed with Rs. 74 per kg rice so that the mixture is worth Rs 62 per kg?
A.	3 : 4
B.	5 : 4
C.	4 : 5
D.	4 : 3
Answer» B. 5 : 4

Discussion

100.	8 liters were taken out of a pot filled with mango juice and filled with water. This process is done three more times. The ratio of the amount of mango juice left in the pot to that of the total solution is 16 : 81. In the beginning, how much mango juice was there in the pot?
A.	25 liters
B.	36 liters
C.	30 liters
D.	24 liters
Answer» E.

Discussion

Explore topic-wise MCQs in Vlsi.

Fill in the blanks: X, a milkman adds 3 litres of water to 10 litres of milk. The milk Y sells is 18% water. The water content in the milk Z sells is 6/31. Arrange the vendors in decreasing order of the quality of the milk.

A solution contains petrol and kerosene in the ratio of 3 ∶ 5. 16 liters of the solution has been replaced with petrol to create a ratio of 5 ∶ 3. Find the original amount of kerosene in the solution.

If 10 litres of milk-water mixture in ratio 3 ∶ 2 is mixed with 10 litres of another milk-water mixture in ratio 4 ∶ 1, then find the quantity of water in the new mixture.

In 60 litres mixture of milk and water, the ratio of volumes of milk and water is 3 : 2. If we want the ratio of the volumes of milk and water to be 1 : 1, then how water should be added to the mixture?

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?

20 litres of a mixture contains milk and water in the ratio 3 : 1.Then the amount of milk to be added to the mixture so as to have milk and water in ratio 4 : 1

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 two amalgam are mixed to form a new amalgam, then what will be the ratio of both of these elements in the new amalgam?

A mixture of 40 litres of milk and water contains 10% water. How much water (in litres) should be added so that the water is 20% in the new mixture?

A vessel contains a mixture of milk and water in the ratio of 4 : 5. If 27 liters of milk is added to it, the ratio of the milk and water in it would reverse. Find the quantity of mixture initially.

300 gm of sugar solution has 40% sugar in it. How much sugar should be added to make it 50% in the solution?

In a 50 litre can; milk and water is in the ratio 3 : 1. If the ratio has to be made 1 : 3, then the quantity of water that has to be added further is:

How much water should be mixed in 39 litres of milk worth Rs. 6.00 per litre so that the resulting mixture is worth Rs. 4.50 per litre?

A person mixes a variety- I of sugar worth Rs. 35 per kg with variety-II of worth Rs. 25 per kg. If the price of the mixture is Rs. 29 per kg, then what is the ratio of the two varieties of sugar in the mixture?

In a mixture of 60 litres, milk and water are in the ratio 2 : 1. Find the quantity of water to be added to make the ratio 4 : 3

Ramesh mixes 15 kg of sugar purchased at the rate of Rs. 10 per kg with 25 kg of sugar purchased at the rate of Rs. 12 per kg. At what rate per kg, should Ramesh sell the mixture to get a profit of Rs. 3 per kg?

In a 56 lilters mixture of milk and water, the ratio of milk to water is 5 : 2. In order to make the ratio of milk to water 7 : 2, some quantity of milk is to be added to the mixture. The quantity of the milk present in the new mixture will be:

If the 20 liters mixture of milk and water contains 60% milk. If x L of milk added then the mixture contains 80% milk. Now if 40% mixture is emptied in another flask. Find the remaining quantity of milk in remaining mixture.

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

A container contains 20 L mixture in which there is 10% sulphuric acid. Find the quantity of sulphuric acid to be added in it to make the solution to contain 25% sulphuric acid.

In a mixture of 80 litres of petrol and ethanol, 25% of the mixture is petrol. How much ethanol should be added to the mixture so that petrol becomes 20% of the mixture?

A drum contains 80 litres of ethanol. 20 litres of this liquid is removed and replaced with water. 20 litres of this mixture is again removed and replaced with water. How much water (in litres) is present in this drum now?

In the mixture of 56 liters, the ratio of milk and water is 3 : 4. If this ratio is changed to 3 : 5, then tell the amount of excess water (in liters) mixed in the mixture.

A beaker contains acid and water in the ratio 1 ∶ x. When 300 ml of the previous mixture and 50 ml of water are mixed, the ratio of acid and water becomes 2 ∶ 5. What is the value of x?

A man buys 10 kg sugar at a price of Rs. 32 per kg. This sugar is mixed with 7 kg precious sugar to get a mixture at a price of Rs. 38 per kg. Find the price of the precious sugar (correct up to 2 decimal points).

7 litres mixture of milk and water contains 30% water. 3.5 litres of milk is added to this mixture. What is the percentage of water in the new mixture?

A jar contains a blend of a fruit juice and water in the ratio 5 ∶ x. When 1 litre of water is added to 4 litres of the blend the ratio of fruit juice to water becomes 1 ∶ 1. What is the value of x?

A mixture contains 15 kg of rice at Rs. 60 per kg and 25 kg of rice at X per kg are mixed and sold at Rs. 97.5 per kg. The profit earned by the seller is 30%. What will be the value of x?

In a mixture of wheat and barley, wheat is 60% of 400 kg of mixture. Further, some quantity of barley is added and percentage of wheat becomes \(53\frac{1}{3}\)%. How many kg of barley is added?

A mixture contains milk and water in the ratio 4 ∶ 3 (by volume). If 4 litres of water is added to it, then the ratio becomes 1 ∶ 1. What is the quantity of milk in the initial mixture?

A bucket contains 50 litres of mixture of water and milk in the ration of 3 : 5. 10 litres of this mixture is removed and replaced with an equal quantity of water. If this process is repeated once more. Find the ratio of water and milk in the final mixture obtained?

In a mixture of 126 litre the ratio of water and milk is 2 : 5 respectively. How much water (in litre) must be added to make the ratio of water and milk as 2 : 3 respectively?

In a mixture of 50 litres, milk and water are in the ratio of 4: 1 respectively. How much milk should be added to this mixture so that the ratio of milk and water becomes 9: 1 respectively?

A mixture contains acid and water in the ratio of 7 : 3. If 4 litres of water is added to it, then the ratio of acid and water becomes 7 : 4. What is the quantity (in litres) of acid in the mixture?

A vessel is filled with a liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture is half water and half syrup?

1 litre of water at 40°C is mixed with 1 litre of water at 60°C. What will be the approximate temperature of water after a certain time?

If x beakers of 100 ml containing 1 ∶ 4 acid-water solution are mixed with y beakers of 200 ml containing 3 ∶ 17 acid-water solution then the ratio of acid to water in the resulting mixture becomes 19 : 91. Find x ∶ y.

In a mixture of 60 liters, the ratio of milk and water is 2 : 1 respectively. How much more water must be added to make its ratio 1 : 2 respectively?

In an alloy (A), zinc and copper are in the ratio 1 ∶ 2. In the second alloy (B). zinc and copper are in the ratio 2 ∶ 3. In what ratio should these two alloys A and B be mixed to form a new alloy in which the ratio of copper and zinc is 8 ∶ 5?

A mixture of liquids A and B in a jar is in the ratio of 4 ∶ 1. If 10 liters are taken out of that mixture and the same amount of liquid B is added in its place, then the ratio of the mixture will be 2 ∶ 3. Accordingly, what was the amount of liquid A in the initial mixture in the jar?

In what ratio a man must mix pulses at Rs. 11.10 per kg with Rs. 15.20 per kg pulse so as to make a mixture worth Rs. 13.20 per kg?

A 120 litres mixture of milk and water contains 40% milk. How much milk (in litres) must be added so that milk becomes 50%?

Alloy A contains metals x and y only in the ratio 5 : 2 and alloy B contains these metals in the ratio 3 : 4. Alloy C is prepared by mixing A and B in the ratio 4 : 5. The percentage of x in alloy C is:

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?

A container is filled with 300 litres of hydrogen gas. The day it loses 100 litres of hydrogen gas and every day it loses one-third of the volume it lost in the previous day. Then the container

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 1 : 2?

An alloy is made by mixing metal A costing Rs. 2000/kg and metal B costing Rs. 400/kg in the ratio A ∶ B = 3 ∶ 1. What is the cost (in Rs.) of 8 kilograms of this alloy?

A vessel contains a solution of two liquids A and B in the ratio 5 : 3. When 10 liters of the solution is taken out and replaced by the same quantity of B, the ratio of A and B in the vessel becomes 10 : 11. The quantity (in litres) of the solution, in the vessel, was ______.

In what ratio should Rs 46 per kg rice be mixed with Rs. 74 per kg rice so that the mixture is worth Rs 62 per kg?

8 liters were taken out of a pot filled with mango juice and filled with water. This process is done three more times. The ratio of the amount of mango juice left in the pot to that of the total solution is 16 : 81. In the beginning, how much mango juice was there in the pot?