Mixtures And Allegations(Quantitative Aptitude ) Questions and answers for exam Preparation

Quantitative Aptitude

MIXTURES AND ALLEGATIONS MCQs

Alligations And Mixtures

Total Questions : 245 | Page 5 of 25 pages

Question 41. Milk and water in two vessels A and B are in the ratio 4:3 and 2:3 respectively in what ratio the liquids in both the vessels should be mixed to obtain a new mixture in vessel C containing half milk and half water?

Discuss Question

Answer: Option D. -> 7:5

Milk in A=4/7 of whole milk in B=2/5 of whole milk in mixture A and B =1/2 of the whole.
Let the C.P of unit quantity be Re.1
Required ratio = 1/10 = 1/14 =14 : 10 =7: 5

Question 42. In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg and Rs. 65 a kg so that by selling the mixture at Rs. 68.20 a kg he may gain 10%?

3 : 2
3 : 4
3 : 5
4 : 5

Discuss Question

Answer: Option A. -> 3 : 2

Question 43. In what proportion must water be added to spirit to gain 20% by selling it at the cost price?

Discuss Question

Answer: Option B. -> 1:5

Let the C.P be Re.1 per liter
S.P of 1 litre of mix =Re 1,
Gain = 20%
C.P of 1 litre mix =Rs(100/120 x 1) =Re(5/6)
Ratio of water and spirit = 1/6 =5/6 = 1 : 5.

Question 44. 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.

1 : 3
2 : 3
3 : 4
4 : 5

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Answer: Option B. -> 2 : 3

Question 45. How much water must be added to a bucket which contains 40 liters of milk at the cost price of Rs.3.50 per liter so that the cost of milk reduces to Rs.2 per liter?

25 liters
28 litres
30 liters
35 liters

Discuss Question

Answer: Option C. -> 30 liters

Total cost price =Rs(40 x 7/2) = Rs.140 Cost per litre =Rs.2, Total quantity = 140/2 = 70 Litres.
Water to be added =(70-40) =30 Litres.

Question 46. 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:

Rs. 18
Rs. 18.50
Rs. 19
Rs. 19.50

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Answer: Option A. -> Rs. 18

Question 47. Rajesh has a container which has a mixture of wine and water in it. Wine and water are in the ratio 4:1. Rajesh spills some of the mixture by accident. He then replaces the spilled amount with water of same quantity. But now the wine to water ratio became 3:2. How much water did Rajesh add?

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Answer: Option C. -> 1/4

Question 48. 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?

18 litres
24 litres
32 litres
42 litres

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Answer: Option B. -> 24 litres

Question 49. 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?

7 liters
15 liters
10 liters
9 liters

Discuss Question

Answer: Option C. -> 10 liters

Number of liters of water in150 liters of the mixture = 20% of 150 = 20/100 * 150 = 30 liters.
P liters of water added to the mixture to make water 25% of the new mixture.
Total amount of water becomes (30 + P) and total volume of mixture is (150 + P).
(30 + P) = 25/100 * (150 + P)
120 + 4P = 150 + P => P = 10 liters.

Question 50. In what ratio should two varieties of sugar of Rs.18 per kg and Rs.24 kg be mixed together to get a mixture whose cost is Rs.20 per kg?

Discuss Question

Answer: Option D. -> 2:1