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

Quantitative Aptitude

MIXTURES AND ALLEGATIONS MCQs

Alligations And Mixtures

Total Questions : 245 | Page 24 of 25 pages

Question 231. A mixture is composed of 11 parts of pure milk and 2 parts of water. If 35 litres of water were added to the mixture then the new mixture will contain twice as much pure milk as water, then how many litres of pure milk does the original mixture contain?

Discuss Question

Answer: Option A. -> 110

Question 232. Tea worth of Rs. 135/kg & Rs. 126/kg are mixed with a third variety in the ratio 1: 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be____?

Rs.1700
Rs. 175.50
Rs. 169.50
Rs. 180

Discuss Question

Answer: Option B. -> Rs. 175.50

Question 233. 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 the water is 16 : 65. How much wine the cask hold originally?

18 litres
32 litres
42 litres
24 litres

Discuss Question

Answer: Option D. -> 24 litres

Let the quantity of the wine in the cask originally be x litres Then, quantity of wine left in cask after 4 operations = x 1 - 8 x 4 litres ? x 1 - 8 x 4 x = 16 81 ? 1 - 8 x 4 = 2 3 4 ? x = 24

Question 234. A container contains 40 litres of milk.From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container.

28 litres
29.16 litres
26.34 litres
27.36 litres

Discuss Question

Answer: Option B. -> 29.16 litres

Amount of milk left after 3 operations 40 1 - 4 40 3 = 40 * 9 10 * 9 10 * 9 10 = 29 . 16 litres

Question 235. From a tank of petrol, which contains 200 litres of petrol, the seller replaces each time with kerosene when he sells 40 litres of petrol(or its mixture). Everytime he sells out only 40 litres of petrol(pure or impure). After replacing the petrol with kerosen 4th time, the total amount of kerosene in the mixture is

81.92L
118.08L
96L
None of these

Discuss Question

Answer: Option B. -> 118.08L

The amount of petrol left after 4 operations = 200 × 1 - 40 200 4 = 200 × 4 5 4 = 200 × 256 625 = 81.92 litres Hence the amount of kerosene = 200 - 81.92 = 118. 08 litres

Question 236. A jar was full with honey. A person used to draw out 20% of the honey from the jar and replaced it with sugar solution. He has repeated the same process 4 times and thus there was only 512 gm of honey left in the jar, the rest part of the jar was filled with the sugar solution. The initial amount of honey in the jar was:

1.25 kg
1.5 kg
None of these
1 kg

Discuss Question

Answer: Option A. -> 1.25 kg

Amount of milk left after 3 operations 40 1 - 4 40 3 = 40 * 9 10 * 9 10 * 9 10 = 29 . 16 litres

Question 237. How many liters of oil at Rs. 40 per liter should be mixed with 240 liters of the second variety of oil at Rs.60 per liter so as to get a maximum whose cost is Rs.52 per liter?

160 liters
140 liters
150 liters
170 liters

Discuss Question

Answer: Option A. -> 160 liters

Apply the Allegation Method and first calculate the ratio in which they have to be mixed.
= 8 : 12 = 2 : 3 Thus, the two varieties of oil should be mixed in the ratio 2 : 3. So, if 240 liters of the second variety are taken, then 160 liters of the first variety should be taken.

Question 238. A can contains a mixture of two liquids A and B in 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?

Discuss Question

Answer: Option D. -> 21

Question 239. Three boxes of capacity 24 kg, 36 kg and 84 kg are completely filled with three varieties of wheat A, B and C respectively. All the three boxes were emptied and the three types of wheat were thoroughly mixed and the mixture was put back in the three boxes. How many kg of type A wheat would be there in the third box (in kg)?

Discuss Question

Answer: Option C. -> 14

Question 240. The ratio of milk and water in three samples is 1 : 3, 3 : 5 and 11 : 5. A mixture containing equal quantities of all three samples is made. What will be the ratio of milk and water in the new mixture?

5 : 7
7 : 9
15 : 13
9 : 11

Discuss Question

Answer: Option B. -> 7 : 9