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

Quantitative Aptitude

MIXTURES AND ALLEGATIONS MCQs

Alligations And Mixtures

Total Questions : 245 | Page 22 of 25 pages

Question 211. From a vessel filled with alcohol 1/5 of its contents is removed and the vessel is then filled up with water. If this be done 5 times in succession, what proportion of the alcohol originally contained in the vessel will have been removed from it?

1024 3125
1024 2101
None of these
2101 3125

Discuss Question

Answer: Option D. -> 2101 3125

As per the given question , We are concerned with solid part of the fruit (pure portion). Assume Q kg of dry fruit is obtained.? Solid part in fresh fruit = Solid part in dry fruit? 0·28 × 100 = 0·8 × Q? Q = 35 kg? 35 kg of dry fruit can be obtained from 100 kg fresh fruit.

Question 212. A solution of sugar syrup has 15 % sugar. Another solution has 5 % sugar. How many liter of the second solution must be added to 20 liters of the first solution to make a solution of 10 % sugar?

Discuss Question

Answer: Option B. -> 20

Question 213. Two casks of 48 and 42 liters are filled with mixture of wine and water13 : 7 and 18 : 17. If the contents of the two casks be mixed and 20 liters of water added to the whole what will be the proportion of wine to water in the result?

31 : 21
21 : 31
12 : 13
13 : 12

Discuss Question

Answer: Option C. -> 12 : 13

Question 214. The ratio of milk to water is 5:4. If two litres of water is added, the ratio becomes 10:9, then find the new amount of water in the mixture.

18 litres
16 litres
12 litres
14 litres

Discuss Question

Answer: Option A. -> 18 litres

Let initial quantity of milk & water in the mixture are 5x & 4x
2 litres water is added.
Hence,
New quantity of milk & water will be 5x & (4x+2)
ATQ,
5x/(4x+2) = 10/9
x/(4x+2) = 2/9 9x = 8x + 4
x=4
Hence,
New amount of water in the mixture = 4x+2 = (4*4) + 2 = 18 litres.

Question 215. In a mixture of milk and water, there is 19% milk. If the quantity of milk in the mixture is 437 mililitres, then what is the total quantity (in millilitres) of mixture?

2200
2350
2300
2400

Discuss Question

Answer: Option C. -> 2300

Let the weight of vessel be xWeight of water = 24 ? x? (24 ? x)/4 + x = 9? 24 ? x + 4x = 36? 3x = 12? x = 4 kg

Question 216. 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.

5 kg
4 kg
8 kg
3 kg

Discuss Question

Answer: Option B. -> 4 kg

Let the weight of vessel be xWeight of water = 24 ? x? (24 ? x)/4 + x = 9? 24 ? x + 4x = 36? 3x = 12? x = 4 kg

Question 217. In a mixture of 25 litres, the ratio of milk to water is 4:1. Another 3 litres of water is added to the mixture. The ratio of milk to water in the new mixture is

Discuss Question

Answer: Option D. -> 5:2

Let the weight of vessel be xWeight of water = 24 ? x? (24 ? x)/4 + x = 9? 24 ? x + 4x = 36? 3x = 12? x = 4 kg

Question 218. Three bottles of equal capacity containing mixture of milk and water in ratio 2 : 5, 3 : 4 and 4 : 5 respectively. These three bottles are emptied into a large bottle. What will be the ratio of milk and water respectively in the large bottle?

73 : 116
73 : 106
73 : 189
73 : 113

Discuss Question

Answer: Option A. -> 73 : 116

Let the weight of vessel be xWeight of water = 24 ? x? (24 ? x)/4 + x = 9? 24 ? x + 4x = 36? 3x = 12? x = 4 kg

Question 219. If a dairy mixes cow's milk which contains 10% fat with buffalo's milk which contains 20% fat, then the resulting mixture has fat (120/7)% of fat. What ratio was the cow's milk mixed with buffalo's milk?

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

Discuss Question

Answer: Option B. -> 2 : 5

Question 220. 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 water becomes 1 : 1. What is the value of x?

Discuss Question

Answer: Option D. -> 3