27 + Mcqs in Alligation and mixture in Maths Page 1 McqOptions

1.	A vessel contains some litres of pure milk. If 25 litre of water is added to the vessel, then ratio between milk and water becomes 12:5, 17 litres of mixture is drawn from the vessel and 10 litre of water is added to the mixture. Find the new ratio between milk and water.
A.	6 : 5
B.	5 : 6
C.	8 : 5
D.	5 : 8
Answer» D. 5 : 8

Discussion

2.	Three pots contain equal mixture of milk and water in the ratio of 4: 1, 5: 2 and 6: 1 respectively. If all the solutions are mixed together. What is the ratio of milk and water in the final solution?
A.	87: 57
B.	77: 89
C.	84: 23
D.	83: 22
Answer» E.

Discussion

3.	In an alloy, the ratio of copper and zinc is 7 : 6. If 1,450 gm. of zinc mixed with in 14 kg 300gm. of an alloy, then the ratio of copper and zinc will be
A.	26:27
B.	22: 23
C.	23:26
D.	25: 21
Answer» C. 23:26

Discussion

4.	The ratio of milk and water in to mixtures A and B are 3:4 and 5:9 respectively. If these two mixtures are mixed in the ratio of 2:3. Then find the ratio of milk and water in the resultant mixture.
A.	27:43
B.	3:5
C.	8:13
D.	9:11
Answer» B. 3:5

Discussion

5.	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 mixture be mixed to obtain a new mixture in vessel C containing spirit and water in the ratio 8:5?
A.	9 : 7
B.	2 : 3
C.	7 : 5
D.	5 : 7
E.	7 : 9
Answer» F.

Discussion

6.	What is the quantity of water should be added to a 75 litre mixture of milk and water so that the percentage of milk in the mixture decrease from 75% to 45%?
A.	50 litre
B.	75 litre
C.	25 litre
D.	40 litre
Answer» B. 75 litre

Discussion

7.	Three vessels contain alcoholic solutions with the concentrations of alcohol as 0.25, 0.5 and 0.75 respectively. 4 litres from the first, 6 litres from the second and 8 litres from the third are mixed. What is the ratio of alcohol and water in the resultant mixture?
A.	1: 2
B.	1: 3
C.	1: 1
D.	5: 9
E.	5: 4
Answer» F.

Discussion

8.	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.	3 : 2
B.	3 : 1
C.	2 : 1
D.	1 : 2
Answer» D. 1 : 2

Discussion

9.	A mixture contains wine and water in the ratio 3 : 2 and another mixture contains them in the ratio 4 : 5 . How many litres of the latter mixture must be mixed with 3 litres of the former mixture so that the resultant mixture may contain equal quantities of wine and water?
A.	$$4{1 over 2}$$ litres
B.	$$3{3 over 4}$$ litres
C.	$$1{2 over 3}$$ litres
D.	$$5{2 over 5}$$ litres
Answer» E.

Discussion

10.	In 50 gm alloy of gold and silver. the gold is 80% by weight. How much gold should be mixed to this alloy so that the weight of gold would become 95%?
A.	120
B.	150
C.	140
D.	100
Answer» C. 140

Discussion

11.	In what ratio must a mixture of 30 % alcohol strength be mixed with that of 50 % alcohol strength so as to get a mixture of 45 % alcohol strength?
A.	2 : 1
B.	3 : 1
C.	1 : 2
D.	1 : 3
Answer» E.

Discussion

12.	In an alloy, the ratio of copper and zinc is 5 : 2. If 1.250 kg of zinc is mixed in 17 kg 500 g of alloy, then the ratio of copper and zinc will be
A.	3 : 2
B.	1 : 2
C.	2 : 1
D.	2 : 3
Answer» D. 2 : 3

Discussion

13.	One quality 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.	Rs. 10.40
B.	Rs. 10.60
C.	Rs. 10.80
D.	Rs. 11
Answer» D. Rs. 11

Discussion

14.	A can contain a mixture of two liquids A and B in the ratio 7: 5. When 9 litres of a mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7: 9. How many litres of liquid A was contained by the can initially?
A.	11
B.	10
C.	21
D.	23
Answer» D. 23

Discussion

15.	In what ratio must water be mixed with to gain 20% by selling the mixture at cost price?
A.	1 : 3
B.	5 : 1
C.	3 : 2
D.	1 : 5
Answer» E.

Discussion

16.	In what ratio must at 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.	3 : 1
B.	4 : 2
C.	5 : 3
D.	2 : 3
Answer» B. 4 : 2

Discussion

17.	The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs. 20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2: 3, then the price per kg of the mixed variety of rice is:
A.	Rs. 18
B.	Rs. 19
C.	Rs. 19.5
D.	Rs. 18.5
Answer» B. Rs. 19

Discussion

18.	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.	35 kg
B.	43kg
C.	52 kg
D.	63 kg
Answer» E.

Discussion

19.	In what ratio must rice at Rs. 9.30 per kg be mixed with rice at Rs. 10.80 per kg so that the mixture be worth Rs. 10 per kg?
A.	8 : 5
B.	5 : 8
C.	8 : 7
D.	7 : 8
Answer» D. 7 : 8

Discussion

20.	A milkman buys some milk at 50Rs / ltr. He adds 1 / 5 water in milk and sells the mixture at 50Rs / ltr. Find out profit %?
A.	0 %
B.	25 %
C.	20 %
D.	10 %
Answer» C. 20 %

Discussion

21.	There are three containers of equal capacity. The ratio of Sulphuric acid to water in the first container is 3 : 2, that in the second container is 7 : 3 and in the third container it is 11 : 4 . If all the liquids are mixed together, then the ratio of Sulphuric acid to water in the mixture will be:
A.	61 : 28
B.	59 : 29
C.	61 : 29
D.	60 : 29
Answer» D. 60 : 29

Discussion

22.	In a mixture of 25 liters, the ratio of acid to water is 4 : 1. Another 3 liters of water is added to the mixture. The ratio of acid to water in the new mixture is:
A.	5 : 2
B.	2 : 5
C.	3 : 5
D.	5 : 3
Answer» B. 2 : 5

Discussion

23.	The ratio in which two sugar solutions of the concentration 25% and 45% are to be mixed to get a solution of concentration 30% is
A.	4: 3
B.	2: 7
C.	3: 1
D.	3: 5
Answer» D. 3: 5

Discussion

24.	If 4 litres of water is evaporated on boiling from 12 litres of salt solution containing 7 percentage salt, the percentage of salt in the remaining solution is
A.	12 %
B.	13 %
C.	10.5 %
D.	11.5 %
Answer» D. 11.5 %

Discussion

25.	A batman has a certain average of runs for 12 innings. In the 13^th inning, he scores 96 runs thereby increasing his average by 5 runs. What will be his average after 13^th inning?
A.	28
B.	32
C.	36
D.	42
Answer» D. 42

Discussion

26.	A vessel contains 20 litres of acid. 4 is taken out of the vessel and replaced by the same quantity of water. Next 4 litres of the mixture are withdrawn, and again the vessel is filled with the same quantity of water. Then find the ratio of acid left in the vessel with the quantity of acid initially in the vessel is:
A.	4 : 5
B.	4 : 25
C.	16 : 25
D.	1 : 5
Answer» D. 1 : 5

Discussion

27.	A mixture contains milk and water in the ratio 5: 1. On adding 4 litres of water, the ratio of milk and water becomes 5: 2. What is the quantity of milk in the original mixture?
A.	40 litre
B.	36 litre
C.	20 litre
D.	24 litre
Answer» D. 24 litre

Discussion

Explore topic-wise MCQs in Maths.

A vessel contains some litres of pure milk. If 25 litre of water is added to the vessel, then ratio between milk and water becomes 12:5, 17 litres of mixture is drawn from the vessel and 10 litre of water is added to the mixture. Find the new ratio between milk and water.

Three pots contain equal mixture of milk and water in the ratio of 4: 1, 5: 2 and 6: 1 respectively. If all the solutions are mixed together. What is the ratio of milk and water in the final solution?

In an alloy, the ratio of copper and zinc is 7 : 6. If 1,450 gm. of zinc mixed with in 14 kg 300gm. of an alloy, then the ratio of copper and zinc will be

The ratio of milk and water in to mixtures A and B are 3:4 and 5:9 respectively. If these two mixtures are mixed in the ratio of 2:3. Then find the ratio of milk and water in the resultant 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 mixture be mixed to obtain a new mixture in vessel C containing spirit and water in the ratio 8:5?

What is the quantity of water should be added to a 75 litre mixture of milk and water so that the percentage of milk in the mixture decrease from 75% to 45%?

Three vessels contain alcoholic solutions with the concentrations of alcohol as 0.25, 0.5 and 0.75 respectively. 4 litres from the first, 6 litres from the second and 8 litres from the third are mixed. What is the ratio of alcohol and water in the resultant mixture?

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 mixture contains wine and water in the ratio 3 : 2 and another mixture contains them in the ratio 4 : 5 . How many litres of the latter mixture must be mixed with 3 litres of the former mixture so that the resultant mixture may contain equal quantities of wine and water?

In 50 gm alloy of gold and silver. the gold is 80% by weight. How much gold should be mixed to this alloy so that the weight of gold would become 95%?

In what ratio must a mixture of 30 % alcohol strength be mixed with that of 50 % alcohol strength so as to get a mixture of 45 % alcohol strength?

In an alloy, the ratio of copper and zinc is 5 : 2. If 1.250 kg of zinc is mixed in 17 kg 500 g of alloy, then the ratio of copper and zinc will be

One quality 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 can contain a mixture of two liquids A and B in the ratio 7: 5. When 9 litres of a mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7: 9. How many litres of liquid A was contained by the can initially?

In what ratio must water be mixed with to gain 20% by selling the mixture at cost price?

In what ratio must at 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?

The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs. 20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2: 3, then the price per kg of the mixed variety of rice is:

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?

In what ratio must rice at Rs. 9.30 per kg be mixed with rice at Rs. 10.80 per kg so that the mixture be worth Rs. 10 per kg?

A milkman buys some milk at 50Rs / ltr. He adds 1 / 5 water in milk and sells the mixture at 50Rs / ltr. Find out profit %?

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

The ratio in which two sugar solutions of the concentration 25% and 45% are to be mixed to get a solution of concentration 30% is

If 4 litres of water is evaporated on boiling from 12 litres of salt solution containing 7 percentage salt, the percentage of salt in the remaining solution is

A batman has a certain average of runs for 12 innings. In the 13th inning, he scores 96 runs thereby increasing his average by 5 runs. What will be his average after 13th inning?

A mixture contains milk and water in the ratio 5: 1. On adding 4 litres of water, the ratio of milk and water becomes 5: 2. What is the quantity of milk in the original mixture?

A batman has a certain average of runs for 12 innings. In the 13^th inning, he scores 96 runs thereby increasing his average by 5 runs. What will be his average after 13^th inning?