1. A container contains 275 litres of orange juice. Some quantity of orange juice is taken out and water added in the container which is equal to one-third of that quantity of orange juice taken out in the container. Respective ratio of water to orange juice in the container becomes 8 : 31. What is the quantity of water added in it?
A) 60 B) 28 C) 32 D) 45 E) 40
Sol: Lets assume quantity of water added = x
then quantity of orange juice taken out = 3x
2200 − 24x = 31x
55x = 2200
x = 40
Ans: E
2. In a jar, the ratio of milk and water is 4 : 3 and in another jar, the ratio of milk and water is 6 : 1, In what ratio both jars will be mixed to get the milk and water in the ratio 4 : 1?
A) 4 : 7 B) 1 : 4 C) 21 : 19 D) 5 : 3 E) 15 : 11
Ans: B
3. A 45 litres mixture of hydrocarbon contains methane and ethane in the ratio of 5 : 4. On adding 10 litres of methane and x litres of ethane the ratio will be 5 : 6. Then what is the mean proportion of (x + 3) and (x − 6)?
A) 20 B) 25 C) 32 D) 35 E) 18
4. 160 litres of a mixture is made by adding 100 litres of liquid A, 40 litre of liquid B and 20 litres of liquid C. If 100 litres of this mixture is taken out, then what will be the quantity of liquid A in the mixture that was taken out? (In litres)
A) 67.5 B) 60 C) 65 D) 70 E) 62.5
Ans: E
5. In a 90 litres mixture of milk and water, percentage of water is only 30%. The milkman gave 18 litres of this mixture to a customer and then added 18 litres of water to the remaining mixture. What is the percentage of milk in the final mixture?
A) 56 B) 64 C) 68 D) 48 E) 52
Ans: A
6. There were 80 litres of pure milk in a vessel 30% of the milk was taken out and replaced with equal quantity of water. Then 28 litres of the mixture of milk and water was taken out. After these 2 litres of milk and 6 litres of water were added to the mixture. Quantity of water in the final mixture is what percent of the quantity of milk in the final mixture?
7. In a vessel water is 25% of the milk. When 10 litres of mixture was taken out from the vessel and 25 litres’ milk was added in the vessel, then quantity of milk become 400% more than the quantity of water in resulting mixture. Find the initial quantity (in litres) of milk in the vessel?
A) 92 B) 106 C) 108 D) 84 E) 72
Sol: Option based verfication accroding to question water 25% of milk
8. A container contains 171 lit mixture of whisky and soda in the ratio 10 : 9 respectively. 95 litres of the mixture used in a party and 9 litres pure whisky and 6 litres soda added to the container. Find the ratio between the quantity of whisky and quantity of soda in the final mixture?
A) 7 : 6 B) 5 : 4 C) 9 : 7 D) 3 : 2 E) 6 : 7
9. Two jars contain a mixture of milk and water. The first jar contains 65% milk and second jarcontains 25% water. In what ratio these two mixtures are mixed so that the new mixture contains 67% milk?
A) 1 : 2 B) 3 : 8 C) 4 : 1 D) 5 : 9 E) 2 : 9
Ans: C
10. A vessel contains (x + 80) litres of milk and x litres of water. If 60 litres of milk and x/2 litres of water are added to the mixture, then the quantity of milk is 25% more than that of water. Find the initial quantity of mixture in the vessel.
A) 200 B) 320 C) 560 D) 400 E) 240
Ans: D
11. A container contains a mixture of milk and water in which milk is 84%. 25% of the mixture is taken out in which water is 102 litre less than the milk. Find the remaining quantity of milk in that container?
A) 278 B) 378 C) 364 D) 402 E) 350
12. 162 litres of a mixture of ethanol and water, the ratio of ethanol to water is 8 : 7, if 18 litres mixture taken out from the mixture, and the same amount of water added in the mixture then find the percentage of ethanol in the new mixture found? (approximately)
A) 47.2 B) 52.3 C) 41.6 D) 56.9 E) 45.6
Ans: A
