78 + Mcqs in Alligation in Arithmetic Ability Page 1 McqOptions

1.	The acid and water in two vessels A and B are in the ratio 4 : 3 and 2 : 3. In what ratio should the liquid in both the vessels be mixed to obtain a new mixture in vessel C containing half acid and half water ?
A.	: 5
B.	: 7
C.	: 3
D.	: 3
Answer» B. : 7

Discussion

2.	Two types of tea costing Rs. 180/kg and Rs. 280/kg. In what ratio should these be mixed so that obtained mixture sold at Rs. 320/kg to earn a profit of 20% is ?
A.	: 13
B.	: 13
C.	: 13
D.	: 13
Answer» E.

Discussion

3.	A sugar solution of 3 litres contain 60% sugar. One litre of water is added to this solution. Then the percentage of sugar in the new solution is :-
A.	0%
B.	5%
C.	0%
D.	0%
Answer» C. 0%

Discussion

4.	40 litres of a mixture of milk and water contains 10%of water, the water to be added, to make the water content 20%in the new mixture. Find how many litres water will be added?
A.	litres
B.	.5 litres
C.	.5 litres
D.	litres
Answer» E.

Discussion

5.	A vessel contains 60 litre of milk. 12 litres of milk taken out from it and replaced with water. Then again from mixture, 12 litres is taken out and replaced with water. The ratio of milk and water in the resultant mixture is ?
A.	6 : 9
B.	5 : 10
C.	6 : 10
D.	: 5
Answer» B. 5 : 10

Discussion

6.	In what ratio must tea at Rs. 62 per kg be mixed with tea at Rs. 72 per kg so that the mixture must be worth Rs. 64.50 per kg?
A.	: 1
B.	: 2
C.	: 3
D.	: 3
Answer» B. : 2

Discussion

7.	A vessel contains a mixture of Grape, Pineapple and Banana juices in the respectively ratio of 4 : 6 : 5. 15 litres of this mixture is taken out and 8 litres of grape juice and 2 litres of pineapple juice is added to the vessel. If the resultant quantity of grape juice is 10 litres less than the resultant quantity of pineapple juice, what was the initial quantity of mixture in the vessel ? ( in litres)
A.	20 litres
B.	50 litres
C.	05 litres
D.	35 litres
Answer» E.

Discussion

8.	A milkman mixed some water with milk to gain 25% by selling the mixture at the cost price. The ratio of water and milk is respectively -
A.	: 4
B.	: 5
C.	: 5
D.	: 4
Answer» E.

Discussion

9.	In what ratio must water be mixed with milk costing Rs. 12 per litre to obtain a mixture worth of Rs. 8 per litre?
A.	: 2
B.	: 1
C.	: 3
D.	: 2
Answer» B. : 1

Discussion

10.	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 is-
A.	litres
B.	litres
C.	litres
D.	litres
Answer» D. litres

Discussion

11.	Two vessels A and B contain milk and water mixed in the ratio 8 : 5 and 5 : 2 respectively. The ratio in which these two mixtures be mixed to get a new mixture containing $$69\frac{3}{{13}}\% $$milk, is-
A.	: 7
B.	: 5
C.	: 2
D.	: 7
Answer» B. : 5

Discussion

12.	35 kg of type A sandal powder, which costs Rs. 614 per kg, was mixed with a certain amount of type B sandal powder, which costs Rs. 695 per kg. Then the mixture was sold at the rate of Rs. 767 per kg and 18% profit was earned. What was the amount (in kg) of type B sandal powder in the mixture ?
A.	4 kg
B.	8 kg
C.	2 kg
D.	6 kg
Answer» C. 2 kg

Discussion

13.	The respective ratio of milk and water in the mixture is 4 : 3. If 6 litres of water is added to this mixture, the respectively ratio of milk and water becomes 8 : 7. What is the quantity of milk in the original mixture ?
A.	6 litres
B.	4 litres
C.	8 litres
D.	one of these
Answer» D. one of these

Discussion

14.	Two vessels A and B contain spirit and water mixed in the ratio 5 : 2 and 7 : 6 respectively. Find the ratio in which these mixtures be mixed to obtain a new mixture in vessel C containing spirit and water in the ratio 8 : 5 ?
A.	: 3
B.	: 4
C.	: 6
D.	: 9
Answer» E.

Discussion

15.	In what ratio must water be mixed with milk to gain $$16\frac{2}{3}\% $$on selling the mixture at cost price?
A.	: 6
B.	: 1
C.	: 3
D.	: 3
Answer» B. : 1

Discussion

16.	One quantity of wheat at Rs 9.30 per Kg is mixed with another quality at a certain rate in the ratio 8 : 7. If the mixture so formed be worth Rs 10 per Kg, what is the rate per Kg of the second quality of wheat?
A.	s. 12.47
B.	s. 10.80
C.	s. 15.17
D.	s. 47.66
Answer» C. s. 15.17

Discussion

17.	3 L water is taken out from vessel full of water and substituted by pure milk. This process is repeated two more times. Finally, the ratio of milk and water in the solution becomes 1728 : 27. Find the volume of the original solution.
A.	L
B.	L
C.	L
D.	L
Answer» D. L

Discussion

18.	A vessel contains milk and water in the ratio 3 : 2. The volume of the contents is increased by 50% by adding water to it. From this resultant solution 30 L is withdrawn and then replaced with water. The resultant ratio of milk water in the final solution is 3 : 7. Find the original volume of the solution.
A.	0 L
B.	5 L
C.	5 L
D.	2 L
Answer» B. 5 L

Discussion

19.	Weights of two friends Ram and Shyam are in the ratio 4 : 5. If Ram's weight is increased by 10% and total weight of Ram and Shyam become 82.8 kg, with an increases of 15%. By what percent did the weight of Shyam has to be increased?
A.	9%
B.	0%
C.	1%
D.	6%
Answer» B. 0%

Discussion

20.	A trader has 50 kg of pulses, part of which he sells at 14% profit and rest at 6% loss. On the whole his loss is 4%. How much quantity is sold at 14% profit and that at 6% loss?
A.	kg, 45 kg.
B.	5 kg, 35 kg.
C.	0kg, 40 kg.
D.	one of these
Answer» B. 5 kg, 35 kg.

Discussion

21.	In a zoo, there are deers and ducks. If the heads are counted, there are 180, while the legs are 448. What will be the number of deers in the zoo?
A.	36
B.	8
C.	4
D.	2
Answer» D. 2

Discussion

22.	The ratio of spirit and water in two mixtures of 20 litres and 36 litres is 3 : 7 and 7 : 5 respectively. Both the mixtures are mixed together. Now the ratio of the spirit and water in the new mixture is ?
A.	5 : 29
B.	: 10
C.	7 : 29
D.	7 : 31
Answer» D. 7 : 31

Discussion

23.	Two vessels A and B contains acid and water in the ratio 4 : 3 and 5 : 3 respectively. Then the ratio in which these mixtures to be mixed to obtain a new mixture in vessel C containing acid and water in the ratio 3 : 2 is -
A.	: 8
B.	: 8
C.	: 5
D.	: 7
Answer» C. : 5

Discussion

24.	Alcohol and water in two vessels A and B are in the ratio 5 : 3 and 5 : 4 respectively. In what ratio, the liquid of both the vessels be mixed to obtain a new mixture in vessel C in the ratio 7 : 5 ?
A.	: 3
B.	: 2
C.	: 5
D.	: 5
Answer» B. : 2

Discussion

25.	Three containers whose volumes are in the ratio of 2 : 3 : 4 are full of mixture of spirit and water. In the 1st container the ratio of spirits and water is 4 : 1, in 2nd container the ratio is 11 : 4 and on the 3rd container ratio is 7 : 3. All the three mixtures are mixed in a big container. The ratio of spirit and water in the resultant mixture is ?
A.	: 9
B.	: 5
C.	1 : 4
D.	: 10
Answer» D. : 10

Discussion

26.	In two types of stainless steel, the ratio of chromium and steel are 2 : 11 and 5 : 21 respectively. In what proportion should the two types be mixed so that the ratio of chromium to steel in the mixed type becomes 7 : 32 ?
A.	: 3
B.	: 4
C.	: 2
D.	: 3
Answer» D. : 3

Discussion

27.	The ratio of milk and water in mixture of four containers are 5 : 3, 2 : 1, 3 : 2 and 7 : 4 respectively. In which container is the quantity of milk, relative to water, minimum ?
A.	irst
B.	econd
C.	hird
D.	orth
Answer» D. orth

Discussion

28.	Lala has lent some money to Arun at 5% p.a. and Bhatia at 8% p.a. At the end of the year, he has gained an overall interest at the rate 6%. In what ratio has he lent the money to Arun and Bhatia ?
A.	: 1
B.	: 2
C.	: 2
D.	: 1
Answer» B. : 2

Discussion

29.	A shopkeeper bought 15 kg of rice at the rate of Rs. 29 per kg and 25 kg of rice at the rate of Rs. 20 per kg. He sold the mixture of both types of rice at the rate of Rs. 27 per kg. His profit in this transaction is -
A.	s. 125
B.	s. 150
C.	s. 140
D.	s. 145
Answer» E.

Discussion

30.	The proportion of acid and water in three samples is 2 : 1, 3 : 2 and 5 : 3. A mixture containing equal quantities of all three samples is made. The ratio of water and acid in the mixture is -
A.	20 : 133
B.	27 : 133
C.	27 : 120
D.	33 : 227
Answer» E.

Discussion

31.	The ratio of the quantities of sugar, in which sugar costing Rs. 20 per kg and Rs. 15 per kg, should be mixed so that here will be neither loss nor gain on selling the mixed sugar at the rate of Rs. 16 per kg, is -
A.	: 1
B.	: 2
C.	: 1
D.	: 4
Answer» E.

Discussion

32.	A mixture contains alcohol and water in the ratio 4 : 3. If 5 litres of water is added to the mixture, the ratio becomes 4 : 5. The quantity of alcohol in the given mixture is -
A.	litres
B.	litres
C.	5 litres
D.	0 litres
Answer» E.

Discussion

33.	In an alloy, zinc and copper are in the ratio 1 : 2. In the second alloy, the same elements are in the ratio 2 : 3. If these two alloys be mixed to form a new alloy in which two elements are in the ratio 5 : 8, the ratio of these two alloys in the new alloys is -
A.	: 10
B.	: 7
C.	0 : 3
D.	: 3
Answer» B. : 7

Discussion

34.	Three vessels whose capacities are in the ratio of 3 : 2 : 1 are completely filled with milk mixed with water. The ratio of milk and water in the mixture of vessels are 5 : 2, 4 : 1 and 4 : 1 respectively. Taking $$\frac{1}{3}$$ of first, $$\frac{1}{2}$$ of second and $$\frac{1}{7}$$ of third mixture, a new mixture kept in a new vessel is prepared. The percentage of water in the new mixture is -
A.	2%
B.	8%
C.	0%
D.	4%
Answer» E.

Discussion

35.	A mixture of a certain quantity of milk with 16 litres of water is worth 90 paise per litre. If pure milk be worth Rs. 1.80 per litre. How much milk is there in the mixture ?
A.	0 litres
B.	6 litres
C.	0 litres
D.	0 litres
Answer» C. 0 litres

Discussion

36.	7 kg of tea costing Rs. 280 per kg is mixed with 9 kg of tea costing Rs. 240 per kg. The average price per kg of the mixed tea is ?
A.	s. 255.80
B.	s. 257.50
C.	s. 267.20
D.	s. 267.50
Answer» C. s. 267.20

Discussion

37.	A gold smith has two qualities of gold, one of 12 carats and another of 16 carats purity. In what proportion should he mix both to make an ornament of 15 carats purity ?
A.	: 3
B.	: 3
C.	: 2
D.	: 1
Answer» B. : 3

Discussion

38.	The milk and water in a mixture are in the ratio 7 : 5. When 15 litres of water are added to it. The ratio of milk and water in the new mixture becomes 7 : 8. The total quantity of water in the new mixture is -
A.	5 litres
B.	0 litres
C.	0 litres
D.	6 litres
Answer» C. 0 litres

Discussion

39.	300 kg of sugar solution has 40% sugar in it. How much sugar should be added to make it 50% in the solution ?
A.	0 kg
B.	0 kg
C.	0 kg
D.	0 kg
Answer» D. 0 kg

Discussion

40.	In 80 litres mixture of milk and water the ratio of amount of milk to that of amount of water is 7 : 3. In order to make this ratio 2 : 1, how many litres of water should be added ?
A.	litres
B.	litres
C.	litres
D.	litres
Answer» E.

Discussion

41.	60 kg of an alloy A is mixed with 100 kg of alloy B. If alloy A has lead and tin in the ratio 3 : 2 and alloy B has tin and copper in the ratio 1 : 4, the amount of tin in the new alloy is -
A.	4 kg
B.	3 kg
C.	0 kg
D.	4 kg
Answer» B. 3 kg

Discussion

42.	12500 students appeared in an exam. 50%of the boys and 70% of the girls cleared the examination. If the total percent of student qualifying is 60% , how many girls appeared in the exam ?
A.	500
B.	200
C.	500
D.	250
Answer» E.

Discussion

43.	Two blends of a commodity costing Rs. 35 and Rs. 40 per kg respectively are mixed in the ratio 2 : 3 by weight. If one-fifth of the mixture is sold at Rs. 46 per kg and the remaining at the rate Rs. 55 per kg, the profit percent is -
A.	0%
B.	0%
C.	0%
D.	0%
Answer» D. 0%

Discussion

44.	A and B are two alloys of gold and copper prepared by mixing metals in the ratio 5 : 3 and 5 : 11 respectively. Equal quantities of these alloys are melted to form a third alloys C. The ratio of gold and copper in the alloy C is-
A.	5 : 13
B.	3 : 15
C.	5 : 17
D.	7 : 15
Answer» D. 7 : 15

Discussion

45.	A barrel contains a mixture of wine and water in the ratio 3 : 1. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of wine and water in the resultant mixture in the barrel becomes 1 : 1 ?
A.	$\frac{1}{4}$$
B.	$\frac{1}{3}$$
C.	$\frac{2}{3}$$
D.	$\frac{1}{2}$$
Answer» C. $\frac{2}{3}$$

Discussion

46.	In a 729 litres mixture of milk and water, the ratio of milk to water is 7 : 2. to get a new mixture containing milk and water in the ratio 7 : 3, the amount of water to be added is:
A.	1 litres
B.	1 litres
C.	6 litres
D.	0 litres
Answer» B. 1 litres

Discussion

47.	An alloy contains zinc, copper and tin in the ratio 2 : 3 : 1 and another contains copper, tin and lead in the ratio 5 : 4 : 3. If equal weights of both alloys are melted together to form a third alloy, then the weight of lead per kg in new alloy will be:
A.	$\frac{{1}}{{2}}$$ kg
B.	$\frac{{1}}{{8}}$$ kg
C.	$\frac{{3}}{{14}}$$ kg
D.	$\frac{{7}}{{9}}$$ kg
Answer» C. $\frac{{3}}{{14}}$$ kg

Discussion

48.	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

49.	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

50.	/_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 water is 16 : 65. How much wine did the cask hold originally??
A.	18 litres
B.	24 litres
C.	32 litres
D.	42 litres
Answer» C. 32 litres

Discussion

Explore topic-wise MCQs in Arithmetic Ability.

The acid and water in two vessels A and B are in the ratio 4 : 3 and 2 : 3. In what ratio should the liquid in both the vessels be mixed to obtain a new mixture in vessel C containing half acid and half water ?

Two types of tea costing Rs. 180/kg and Rs. 280/kg. In what ratio should these be mixed so that obtained mixture sold at Rs. 320/kg to earn a profit of 20% is ?

A sugar solution of 3 litres contain 60% sugar. One litre of water is added to this solution. Then the percentage of sugar in the new solution is :-

40 litres of a mixture of milk and water contains 10%of water, the water to be added, to make the water content 20%in the new mixture. Find how many litres water will be added?

A vessel contains 60 litre of milk. 12 litres of milk taken out from it and replaced with water. Then again from mixture, 12 litres is taken out and replaced with water. The ratio of milk and water in the resultant mixture is ?

In what ratio must tea at Rs. 62 per kg be mixed with tea at Rs. 72 per kg so that the mixture must be worth Rs. 64.50 per kg?

A milkman mixed some water with milk to gain 25% by selling the mixture at the cost price. The ratio of water and milk is respectively -

In what ratio must water be mixed with milk costing Rs. 12 per litre to obtain a mixture worth of Rs. 8 per litre?

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 is-

Two vessels A and B contain milk and water mixed in the ratio 8 : 5 and 5 : 2 respectively. The ratio in which these two mixtures be mixed to get a new mixture containing $$69\frac{3}{{13}}\% $$milk, is-

35 kg of type A sandal powder, which costs Rs. 614 per kg, was mixed with a certain amount of type B sandal powder, which costs Rs. 695 per kg. Then the mixture was sold at the rate of Rs. 767 per kg and 18% profit was earned. What was the amount (in kg) of type B sandal powder in the mixture ?

The respective ratio of milk and water in the mixture is 4 : 3. If 6 litres of water is added to this mixture, the respectively ratio of milk and water becomes 8 : 7. What is the quantity of milk in the original mixture ?

Two vessels A and B contain spirit and water mixed in the ratio 5 : 2 and 7 : 6 respectively. Find the ratio in which these mixtures be mixed to obtain a new mixture in vessel C containing spirit and water in the ratio 8 : 5 ?

In what ratio must water be mixed with milk to gain $$16\frac{2}{3}\% $$on selling the mixture at cost price?

One quantity of wheat at Rs 9.30 per Kg is mixed with another quality at a certain rate in the ratio 8 : 7. If the mixture so formed be worth Rs 10 per Kg, what is the rate per Kg of the second quality of wheat?

3 L water is taken out from vessel full of water and substituted by pure milk. This process is repeated two more times. Finally, the ratio of milk and water in the solution becomes 1728 : 27. Find the volume of the original solution.

Weights of two friends Ram and Shyam are in the ratio 4 : 5. If Ram's weight is increased by 10% and total weight of Ram and Shyam become 82.8 kg, with an increases of 15%. By what percent did the weight of Shyam has to be increased?

A trader has 50 kg of pulses, part of which he sells at 14% profit and rest at 6% loss. On the whole his loss is 4%. How much quantity is sold at 14% profit and that at 6% loss?

In a zoo, there are deers and ducks. If the heads are counted, there are 180, while the legs are 448. What will be the number of deers in the zoo?

The ratio of spirit and water in two mixtures of 20 litres and 36 litres is 3 : 7 and 7 : 5 respectively. Both the mixtures are mixed together. Now the ratio of the spirit and water in the new mixture is ?

Two vessels A and B contains acid and water in the ratio 4 : 3 and 5 : 3 respectively. Then the ratio in which these mixtures to be mixed to obtain a new mixture in vessel C containing acid and water in the ratio 3 : 2 is -

Alcohol and water in two vessels A and B are in the ratio 5 : 3 and 5 : 4 respectively. In what ratio, the liquid of both the vessels be mixed to obtain a new mixture in vessel C in the ratio 7 : 5 ?

In two types of stainless steel, the ratio of chromium and steel are 2 : 11 and 5 : 21 respectively. In what proportion should the two types be mixed so that the ratio of chromium to steel in the mixed type becomes 7 : 32 ?

The ratio of milk and water in mixture of four containers are 5 : 3, 2 : 1, 3 : 2 and 7 : 4 respectively. In which container is the quantity of milk, relative to water, minimum ?

Lala has lent some money to Arun at 5% p.a. and Bhatia at 8% p.a. At the end of the year, he has gained an overall interest at the rate 6%. In what ratio has he lent the money to Arun and Bhatia ?

A shopkeeper bought 15 kg of rice at the rate of Rs. 29 per kg and 25 kg of rice at the rate of Rs. 20 per kg. He sold the mixture of both types of rice at the rate of Rs. 27 per kg. His profit in this transaction is -

The proportion of acid and water in three samples is 2 : 1, 3 : 2 and 5 : 3. A mixture containing equal quantities of all three samples is made. The ratio of water and acid in the mixture is -

The ratio of the quantities of sugar, in which sugar costing Rs. 20 per kg and Rs. 15 per kg, should be mixed so that here will be neither loss nor gain on selling the mixed sugar at the rate of Rs. 16 per kg, is -

A mixture contains alcohol and water in the ratio 4 : 3. If 5 litres of water is added to the mixture, the ratio becomes 4 : 5. The quantity of alcohol in the given mixture is -

In an alloy, zinc and copper are in the ratio 1 : 2. In the second alloy, the same elements are in the ratio 2 : 3. If these two alloys be mixed to form a new alloy in which two elements are in the ratio 5 : 8, the ratio of these two alloys in the new alloys is -

A mixture of a certain quantity of milk with 16 litres of water is worth 90 paise per litre. If pure milk be worth Rs. 1.80 per litre. How much milk is there in the mixture ?

7 kg of tea costing Rs. 280 per kg is mixed with 9 kg of tea costing Rs. 240 per kg. The average price per kg of the mixed tea is ?

A gold smith has two qualities of gold, one of 12 carats and another of 16 carats purity. In what proportion should he mix both to make an ornament of 15 carats purity ?

The milk and water in a mixture are in the ratio 7 : 5. When 15 litres of water are added to it. The ratio of milk and water in the new mixture becomes 7 : 8. The total quantity of water in the new mixture is -

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

In 80 litres mixture of milk and water the ratio of amount of milk to that of amount of water is 7 : 3. In order to make this ratio 2 : 1, how many litres of water should be added ?

60 kg of an alloy A is mixed with 100 kg of alloy B. If alloy A has lead and tin in the ratio 3 : 2 and alloy B has tin and copper in the ratio 1 : 4, the amount of tin in the new alloy is -

12500 students appeared in an exam. 50%of the boys and 70% of the girls cleared the examination. If the total percent of student qualifying is 60% , how many girls appeared in the exam ?

Two blends of a commodity costing Rs. 35 and Rs. 40 per kg respectively are mixed in the ratio 2 : 3 by weight. If one-fifth of the mixture is sold at Rs. 46 per kg and the remaining at the rate Rs. 55 per kg, the profit percent is -

A and B are two alloys of gold and copper prepared by mixing metals in the ratio 5 : 3 and 5 : 11 respectively. Equal quantities of these alloys are melted to form a third alloys C. The ratio of gold and copper in the alloy C is-

A barrel contains a mixture of wine and water in the ratio 3 : 1. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of wine and water in the resultant mixture in the barrel becomes 1 : 1 ?

In a 729 litres mixture of milk and water, the ratio of milk to water is 7 : 2. to get a new mixture containing milk and water in the ratio 7 : 3, the amount of water to be added is:

An alloy contains zinc, copper and tin in the ratio 2 : 3 : 1 and another contains copper, tin and lead in the ratio 5 : 4 : 3. If equal weights of both alloys are melted together to form a third alloy, then the weight of lead per kg in new alloy will be:

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 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:~!

*/*_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 water is 16 : 65. How much wine did the cask hold originally??

/_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 water is 16 : 65. How much wine did the cask hold originally??