164 + Mcqs in Alligation or Mixture Page 3 McqOptions

101.	If 4/7 of P is equal to 12/14 of Q, then what is P : Q?_x005F_x000D_ Â _x005F_x000D_
A.	15 : 8_x005F_x000D_
B.	14 : 9_x005F_x000D_
C.	7 : 8_x005F_x000D_
D.	0.12638888888889
Answer» E.

Discussion

102.	How much water (in litres) must be added to 80 litres solution of milk and water containing 10% milk, so that it becomes a 5% milk solution?
A.	10
B.	20
C.	40
D.	80
Answer» E.

Discussion

103.	How much pepsi at Rs.6 a litre is added to 15 litre of 'dew' at Rs. 10 a litre so that the price of the mixture be Rs.9 a litre?
A.	5
B.	8
C.	10
D.	None of these
Answer» B. 8

Discussion

104.	How many kilograms 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 ?
A.	36 Kg
B.	42 Kg
C.	54 Kg
D.	63 Kg
Answer» E.

Discussion

105.	From the 50 liters of milk, 5 liters of milk is taken out and after it 5 liters of water is added to the rest amount of milk. Again 5 liters of milk and water is drawn out and it was replaced by 5 liters of water. If this process is continued Â similarly for the third time, the amount of milk left after the third replacement:
A.	45L
B.	36.45L
C.	40.5L
D.	42.5L
Answer» C. 40.5L

Discussion

106.	From Â a container of wine, a thief has stolen 15 liters of wine and replaced it with same quantity of water.He again repeated the same process. Thus in three attempts the ratio of wine and water became 343:169. The Â initial amount of wine in the container was:
A.	75 liters
B.	100 liters
C.	150 liters
D.	120 liters
Answer» E.

Discussion

107.	From container A containing 54 liter of mixture of milk and water in ratio of 8 : 1 , 18 liter of the mixture is taken out and poured into container B in which ratio of milk to water is 3 : 1. If difference between total milk and total water in container B is 30 liter then find the quantity of initial mixture in container B.
A.	30 Liter
B.	28 Liter
C.	32 Liter
D.	36 Liter
Answer» D. 36 Liter

Discussion

108.	From a tank of petrol , which contains 200 liters of petrol, the seller replaces each time with kerosene when he sells 40 liters of petrol(or mixture). Everytime he sells out only 40 liters of petrol (pure or impure). After replacing the petrol with kerosene 4th time, the total amount of kerosene in the mixture is
A.	81.92L
B.	96L
C.	118.08L
D.	None of these
Answer» D. None of these

Discussion

109.	From a tank of petrol, which contains 200 litres of petrol, the seller replaces each time with kerosene when he sells 40 litres of petrol(or its mixture). Everytime he sells out only 40 litres of petrol(pure or impure). After replacing the petrol with kerosen 4th time, the total amount of kerosene in the mixture is
A.	81.92L
B.	96L
C.	118.08L
D.	None of these
Answer» D. None of these

Discussion

110.	From a container of wine, a thief has stolen 15 litres of wine and replaced it with same quantity of water. He again repeated the same process. Thus, in three attempts the ratio of wine and water became 343 : 169. The initial amount of wine in the container was:
A.	75 litres
B.	100 litres
C.	150 litres
D.	120 litres
Answer» E.

Discussion

111.	From a container, 6 liters milk was drawn out and was replaced by water. Again 6 liters of mixture was drawn out and was replaced by the water. Thus the quantity of milk and water in the container after these two operations is 9:16. The quantity of mixture is:
A.	15
B.	16
C.	25
D.	31
Answer» B. 16

Discussion

112.	An alloy of copper and bronze weight 50g. It contains 80% Copper. How much copper should be added to the alloy so that percentage of copper is increased to 90%?
A.	45 gm
B.	50 gm
C.	55 gm
D.	60 gm
Answer» C. 55 gm

Discussion

113.	Equal quantities of three mixtures of milk and water are mixed in the ratio 1:2, 2:3 and 3:4. The ratio of water and milk in the mixture is ?
A.	193 : 122
B.	97 : 102
C.	115 : 201
D.	147 : 185
Answer» B. 97 : 102

Discussion

114.	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 thisÂ alloy?
A.	1600
B.	9800
C.	6400
D.	12800
Answer» E.

Discussion

115.	An alloy contains gold and silver in the ratio 5 : 8 and another alloy contains gold and silver in the ratio 5 : 3. If equal amount of both the alloys are melted together, then the ratio of gold and silver in the resulting alloy is ?_x005F_x000D_
A.	113/108
B.	105/103
C.	108/115
D.	103/113
Answer» C. 108/115

Discussion

116.	An alloy contains copper and tin in the ratio 3 : 2. If 250 gm of copper is added to this alloy then the copper in it becomes double the quantity of tin in it.Â What is the amount (in gm) of tin in the alloy?
A.	250
B.	750
C.	1000
D.	500
Answer» E.

Discussion

117.	Abdul prepared 42 lts of medicine and filled it in bottles of 280 ml each. Find how many bottles would be required?
A.	15
B.	1500
C.	150
D.	300
Answer» D. 300

Discussion

118.	An 80 litre mixture of water and acid contains 20% acid. How much acid should be added to make the acid 60% in the new mixture?_x005F_x000D_ Â _x005F_x000D_
A.	60
B.	80
C.	70
D.	90
Answer» C. 70

Discussion

119.	A vessel is filled with liquid, 3 parts of which are water and 5 parts of syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?
A.	44256
B.	44287
C.	44317
D.	44378
Answer» D. 44378

Discussion

120.	A vessel, full of water, weighs 24 kg. When the vessel is 1/4 full, it weighs 9 kg. Find the weight of empty vessel.
A.	4 kg
B.	5 kg
C.	8 kg
D.	3 kg
Answer» B. 5 kg

Discussion

121.	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 ?
A.	0.21041666666667
B.	0.044444444444444
C.	0.16736111111111
D.	0.37569444444444
Answer» E.

Discussion

122.	A tin a mixture of two liquids A and B in the proportion 4 : 1. If 45 litres of the mixture is replaced by 45 litres of liquid B, then the ratio of the two liquids becomes 2 : 5. How much of the liquid B was there in the tin? What quantity does the tin hold?
A.	58 l
B.	65 l
C.	50 l
D.	62 l
Answer» D. 62 l

Discussion

123.	A shop keeper purchased 15 kg of sugar and 20 kg of wheat at Rs. 50 and Rs. 75 per kg respectively. On selling them, he gained 10% on sugar and 20% on wheat. What was the total sale vale?
A.	Rs. 2550
B.	Rs. 2625
C.	Rs. 1800
D.	Rs. 1575
Answer» C. Rs. 1800

Discussion

124.	A natural number, when divided by 5,6,7 or 8,leaves a remainder of 4 in each case. what is the smallest of all such numbers?_x005F_x000D_ Â _x005F_x000D_
A.	214
B.	424
C.	844
D.	1264
Answer» D. 1264

Discussion

125.	A mixture of 70 litres of Fruit Juice and water contains 10% water. How many litres of water should be added to the mixture so that the mixture contains 12.5% water Â ?
A.	2 lit
B.	4 lit
C.	1 lit
D.	3 lit
Answer» B. 4 lit

Discussion

126.	A mixture of alcohol and water contains 7% alcohol. How much mixture (in litres) is required to get 357 litres of alcohol?
A.	6300
B.	4200
C.	4900
D.	5100
Answer» E.

Discussion

127.	A mixture of 240 litres of juice and water contains 15% water. How much more water (in litres) should be added to this so that the strength of water will become 25% in the new mixture?_x005F_x000D_
A.	28
B.	32
C.	26
D.	34
Answer» C. 26

Discussion

128.	A mixture of 50 kg of cement and gravel contains 10% of gravel. How many kg of gravel must be added to make the gravel content 28% in the new mixture?_x005F_x000D_
A.	14.5
B.	10.5
C.	12.5
D.	17.5
Answer» D. 17.5

Discussion

129.	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 ?
A.	5 lit
B.	10 lit
C.	15 lit
D.	20 lit
Answer» C. 15 lit

Discussion

130.	A mixture contains liquid A and liquid B in the ratio of 5 : 4. If 2 litres of liquid B is added to it, then the ratio of liquid A and liquid B becomes 7 : 6. What is the quantity (in litres) of liquid A in the mixture?_x005F_x000D_
A.	32
B.	35
C.	40
D.	42
Answer» C. 40

Discussion

131.	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?
A.	10 liters
B.	20 liters
C.	30 liters
D.	40 liters
Answer» B. 20 liters

Discussion

132.	A mixture is composed of 11 parts of pure milk and 2 parts of water. If 35 litres of water were added to the mixture then the new mixture will contain twiceÂ as much pure milk as water, then how many litres of pure milk does the original mixture contain?
A.	110
B.	55
C.	220
D.	70
Answer» B. 55

Discussion

133.	A mixture contains spirit and water in the ratio of 3 : 2. If it contains 3 litres more spirit than water, the quantity of spirit in the mixture is
A.	12 litres
B.	10 litres
C.	9 litres
D.	8 litres
Answer» D. 8 litres

Discussion

134.	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?_x005F_x000D_
A.	28
B.	22
C.	20
D.	32
Answer» B. 22

Discussion

135.	A mixture contains 25% milk and rest water. What percent of this mixture must taken out and replaced with milk so that in mixture milk and water may become equal.
A.	0.318
B.	0.31
C.	0.3333
D.	0.2985
Answer» D. 0.2985

Discussion

136.	A milkman has 20 liters of milk. If he mixes 5 liters of water, which is freely available, in 20 liters of pure milk. If the cost of pure milk is Rs. 18 per litre, then the profit of the milkman, when he sells all the mixture at cost price, the profit % ?
A.	0.225
B.	0.25
C.	0.2
D.	0.3333
Answer» C. 0.2

Discussion

137.	A milkman buys milk at Rs 25 per litre and adds 1/4 of water to it and sells the mixture at Rs 26 per litre. His gain (in %) is?
A.	25
B.	20
C.	30
D.	15
Answer» D. 15

Discussion

138.	A milkman claims to sell milk at its cost price, still, he is making a profit of 30% since he has mixed some amount of water in the milk. What is the % of milk in the mixture?
A.	0.7102
B.	0.7692
C.	0.6322
D.	0.8642
Answer» C. 0.6322

Discussion

139.	A milk merchant buys 50 litres of milk at the rate of Rs 40 per litre and mixes 5 litres of water in it. If he sells this mixture at the rate of Rs 42 per litre,Â then what is the profit percentage for the dealer?
A.	17.2
B.	14.4
C.	16.6
D.	15.5
Answer» E.

Discussion

140.	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 :
A.	83.33 ml
B.	90.90 ml
C.	99.09 ml
D.	can't be determined
Answer» B. 90.90 ml

Discussion

141.	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

142.	A man pays Rs. 6.40 per litre of milk. He adds water and sells the mixture at Rs. 8 per litre, thereby making 37.5% profit. The proportion of water to milk received by the customers is
A.	0.048611111111111
B.	0.41736111111111
C.	0.38263888888889
D.	0.46458333333333
Answer» B. 0.41736111111111

Discussion

143.	A jar was full with honey. A person used to draw out 20% of the honey from the jar and replaced it with sugar solution. He has repeated the same process 4 times and thus there was only 512 gm of honey left in the jar, the rest part of the jar was filled with the sugar solution. The initial amount of honey in the jar was:
A.	1.25 kg
B.	1 kg
C.	1.5 kg
D.	None of these
Answer» B. 1 kg

Discussion

144.	A jar was full with honey. A person Â used to draw out 20% of the honey from the jar and replaced it with sugar solution. He has repeated Â the same process 4 times and thus there was only 512 gm of honey left in the jar, the rest part of the jar was filled with the sugar Â solution. The initial amount of honey in the jar was filled with the sugar solution. The initial amount of honey in the jar was:
A.	1.25 kg
B.	1 kg
C.	1.5 kg
D.	None of these
Answer» B. 1 kg

Discussion

145.	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 waterÂ becomes 1 : 1. What is the value of x?
A.	3
B.	1
C.	2
D.	4
Answer» B. 1

Discussion

146.	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 ?
A.	24.52 litres
B.	29.63 litres
C.	28.21 litres
D.	25.14 litres
Answer» C. 28.21 litres

Discussion

147.	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 withÂ water. How much water (in litres) is present in this drum now?
A.	45
B.	40
C.	35
D.	44
Answer» D. 44

Discussion

148.	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.
A.	26.34 litres
B.	27.36 litres
C.	28 litres
D.	29.16 litres
Answer» E.

Discussion

149.	A container contains 120 lit of Diesel. From this container, 12 lit of Diesel was taken out and replaced by kerosene. This process was further repeated for two times. How much diesel is now there in the container ?
A.	88.01 lit
B.	87.48 lit
C.	87.51 lit
D.	87.62 lit
Answer» C. 87.51 lit

Discussion

150.	A bucket contains a mixture of two liquids AÂ and B in the proportion 7: 5. If 9 litres of theÂ mixture is replaced by 9 litres of liquid B, thenÂ the ratio of the two liquid becomes 7: 9. How much of the liquid A was there in the bucket ?
A.	21 litres
B.	15 litres
C.	23 litres
D.	18 litres
Answer» B. 15 litres

Discussion

Explore topic-wise MCQs in Arithmetic Ability.

If 4/7 of P is equal to 12/14 of Q, then what is P : Q?_x005F_x000D_ Â _x005F_x000D_

How much water (in litres) must be added to 80 litres solution of milk and water containing 10% milk, so that it becomes a 5% milk solution?

How much pepsi at Rs.6 a litre is added to 15 litre of 'dew' at Rs. 10 a litre so that the price of the mixture be Rs.9 a litre?

How many kilograms 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 ?

From Â a container of wine, a thief has stolen 15 liters of wine and replaced it with same quantity of water.He again repeated the same process. Thus in three attempts the ratio of wine and water became 343:169. The Â initial amount of wine in the container was:

From a container of wine, a thief has stolen 15 litres of wine and replaced it with same quantity of water. He again repeated the same process. Thus, in three attempts the ratio of wine and water became 343 : 169. The initial amount of wine in the container was:

From a container, 6 liters milk was drawn out and was replaced by water. Again 6 liters of mixture was drawn out and was replaced by the water. Thus the quantity of milk and water in the container after these two operations is 9:16. The quantity of mixture is:

An alloy of copper and bronze weight 50g. It contains 80% Copper. How much copper should be added to the alloy so that percentage of copper is increased to 90%?

Equal quantities of three mixtures of milk and water are mixed in the ratio 1:2, 2:3 and 3:4. The ratio of water and milk in the mixture is ?

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 thisÂ alloy?

An alloy contains gold and silver in the ratio 5 : 8 and another alloy contains gold and silver in the ratio 5 : 3. If equal amount of both the alloys are melted together, then the ratio of gold and silver in the resulting alloy is ?_x005F_x000D_

An alloy contains copper and tin in the ratio 3 : 2. If 250 gm of copper is added to this alloy then the copper in it becomes double the quantity of tin in it.Â What is the amount (in gm) of tin in the alloy?

Abdul prepared 42 lts of medicine and filled it in bottles of 280 ml each. Find how many bottles would be required?

An 80 litre mixture of water and acid contains 20% acid. How much acid should be added to make the acid 60% in the new mixture?_x005F_x000D_ Â _x005F_x000D_

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

A vessel, full of water, weighs 24 kg. When the vessel is 1/4 full, it weighs 9 kg. Find the weight of empty vessel.

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 ?

A tin a mixture of two liquids A and B in the proportion 4 : 1. If 45 litres of the mixture is replaced by 45 litres of liquid B, then the ratio of the two liquids becomes 2 : 5. How much of the liquid B was there in the tin? What quantity does the tin hold?

A shop keeper purchased 15 kg of sugar and 20 kg of wheat at Rs. 50 and Rs. 75 per kg respectively. On selling them, he gained 10% on sugar and 20% on wheat. What was the total sale vale?

A natural number, when divided by 5,6,7 or 8,leaves a remainder of 4 in each case. what is the smallest of all such numbers?_x005F_x000D_ Â _x005F_x000D_

A mixture of 70 litres of Fruit Juice and water contains 10% water. How many litres of water should be added to the mixture so that the mixture contains 12.5% water Â ?

A mixture of alcohol and water contains 7% alcohol. How much mixture (in litres) is required to get 357 litres of alcohol?

A mixture of 240 litres of juice and water contains 15% water. How much more water (in litres) should be added to this so that the strength of water will become 25% in the new mixture?_x005F_x000D_

A mixture of 50 kg of cement and gravel contains 10% of gravel. How many kg of gravel must be added to make the gravel content 28% in the new mixture?_x005F_x000D_

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 ?

A mixture contains liquid A and liquid B in the ratio of 5 : 4. If 2 litres of liquid B is added to it, then the ratio of liquid A and liquid B becomes 7 : 6. What is the quantity (in litres) of liquid A in the mixture?_x005F_x000D_

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?

A mixture is composed of 11 parts of pure milk and 2 parts of water. If 35 litres of water were added to the mixture then the new mixture will contain twiceÂ as much pure milk as water, then how many litres of pure milk does the original mixture contain?

A mixture contains spirit and water in the ratio of 3 : 2. If it contains 3 litres more spirit than water, the quantity of spirit in the mixture is

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?_x005F_x000D_

A mixture contains 25% milk and rest water. What percent of this mixture must taken out and replaced with milk so that in mixture milk and water may become equal.

A milkman has 20 liters of milk. If he mixes 5 liters of water, which is freely available, in 20 liters of pure milk. If the cost of pure milk is Rs. 18 per litre, then the profit of the milkman, when he sells all the mixture at cost price, the profit % ?

A milkman buys milk at Rs 25 per litre and adds 1/4 of water to it and sells the mixture at Rs 26 per litre. His gain (in %) is?

A milkman claims to sell milk at its cost price, still, he is making a profit of 30% since he has mixed some amount of water in the milk. What is the % of milk in the mixture?

A milk merchant buys 50 litres of milk at the rate of Rs 40 per litre and mixes 5 litres of water in it. If he sells this mixture at the rate of Rs 42 per litre,Â then what is the profit percentage for the dealer?

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 :

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 man pays Rs. 6.40 per litre of milk. He adds water and sells the mixture at Rs. 8 per litre, thereby making 37.5% profit. The proportion of water to milk received by the customers is

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 waterÂ becomes 1 : 1. What is the value of x?

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 ?

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 withÂ water. How much water (in litres) is present in this drum now?

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.

A container contains 120 lit of Diesel. From this container, 12 lit of Diesel was taken out and replaced by kerosene. This process was further repeated for two times. How much diesel is now there in the container ?

A bucket contains a mixture of two liquids AÂ and B in the proportion 7: 5. If 9 litres of theÂ mixture is replaced by 9 litres of liquid B, thenÂ the ratio of the two liquid becomes 7: 9. How much of the liquid A was there in the bucket ?