# Alligation or Mixture Questions and Answers updated daily – Aptitude

15 Alligation or Mixture Questions and answers section with explanation for various online exam preparation, various interviews, Aptitude Alligation or Mixture online test. Alligation or Mixture Questions with detailed description, explanation will help you to master the topic.

## Alligation or Mixture Questions

1.
In what ratio must water be mixed with milk to gain 16% on selling the mixture at cost price?

Correct Ans:1:6
Explanation:

2. 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

Correct Ans:Rs.18
Explanation:

3. 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:

Correct Ans:600kg
Explanation:

4. Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.

Correct Ans:2:3
Explanation:

5. A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5?

Correct Ans:7:3
Explanation:

6. A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5?

Correct Ans:6litre,6litre
Explanation:

7. A can contains a mixture of two liquids A and B is the ratio 7 : 5. When 9 litres of 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?

Correct Ans:21
Explanation:

The can initially contains 7xand 5xof mixtures A and B respectively.

 Quantity of A in mixture left = 7x- 7 x 9 litres = 7x- 21 litres. 12 4

 Quantity of B in mixture left = 5x- 5 x 9 litres = 5x- 15 litres. 12 4

 7x- 21 4
=7
 5x- 15 + 9 4
9

 28x- 21 = 7 20x+ 21 9

252x- 189 = 140x+ 147

112x= 336

x= 3.

So, the can contained 21 litres of A.

8. A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage uf alcohol was found to be 26%. The quantity of whisky replaced is.

Correct Ans:2/3
Explanation:
Ratio of first and second = 7 : 14 = 1 : 2
Required quantity 2/3

9. Two vessels A and B contain milk and water mixed in the ratio 4: 3 and 2: 3. In what ratio must these mixtures be mixed to form a new mixture containing half milk and half water?

Correct Ans:7:5
Explanation:

10.  729 ml of mixture contains milk and water in the ratio 7 : 2. How much more water is to be added to get a new mixture containing milk and water in the ratio 7 : 3 .

Correct Ans:81ml
Explanation:
729 * 7/9 = 567 ml, Water = 729 - 567 = 162
Let water added is x ml 567/(162 + x) = 7/3 or 1701 = 1134 + 7x or x = 81 ml

11. 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?

Correct Ans:8:7
Explanation:
By the rule of allegation (10.8 - 10) : (10 - 9.3) = 0.8 : 0.7 = 8 : 7

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

Correct Ans:1:2
Explanation:
12-8:8-0
=1:2

13. A container contains 40 litres of water. From this container 4 litres of water was taken out and replaced by milk. This process was repeated further two times. How much water is now contained by the container?

Correct Ans:29.16l
Explanation:
Amount of milk left after 3 operations = 40(1-4/40)3l
= 40*9/10*9/10*9/10
=29.16l

14. A vessel is filled with 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 may be half water and half syrup?

Correct Ans:1/5
Explanation:
Suppose the vessel initially contains 8 litres of liquid.
Let x litres of this liquid be replaced with water.
Quantity of water in new mixture =(3-3x/8+x)litres
Quantity of syrup in new mixture =(5-5x/8)litres
(3-3x/8+x)litres=(5-5x/8)litres
5x+24=40-5x
10x=16
x=8/5
=8/5X1/8
=1/5

15. Two vessels A and B contain spirit and water 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 ration 8 : 5 ?