1. A vessel contains banana juice and milk in the ratio of 9 : 13. If some quantity of banana juice to be added to the mixture, then the resultant to be equal. The newly added banana juice is what part of the initial mixture?
A) 8/11 B) 7/11 C) Can’t be determine D) 2/11 E) 5/11
2. A jar contains 90 liters mixture of orange juice and lemon juice in the ratio 5 : 4 respectively. If 20% of the mixture taken out from the vessel and some quantity of the lemon juice and 20l of orange juice is added so that the ratio of the lemon juice and orange juice in the resultant mixture becomes 4 : 5 respectively, then find the added lemon juice is approximately what percent of the initial mixture?
A)18 B) 40 C) 20 D) 15 E) 30
3. There is mixture of 140l which contains milk and grape juice. The quantity of grape juice in the mixture is X liter. If the 50% more grape juice is added to the mixture, the respective ratio between the milk and grape juice becomes 8 : 9, then find the final quantity of the mixture.
A) 150 B) 180 C) 165 D) 170 E) 160
4. In a mixture of milk and water, the quantity of water is one-third of that of milk. 50% of the mixture was sold and 30 litre pure milk was added in the mixture. If the quantity of milk in the resultant mixture was 3.5 times that of water, what was the initial quantity of mixture? (In litre)
A) 720 B) 360 C) 480 D) 540 E) 440
5. From a vessel containing only juice. 5 litres are drawn and replaced with water. This action is repeated once more (i.e. 5 litres of new mixture are drawn and replaced with water). After this, the respective ratio of juice to water is 81 : 19. How many litres of juice was the vessel originally holding?
A) 50 B) 45 C) 60 D) 55 E) 40
6. In 112 litres of mixture of water and milk, water is only 18.75%. The milkman gave 28 litres of this mixture to a customer and then he added 10.75 litres of pure milk and 5.25 litres of pure water in the remaining mixture. What is the percentage of water in the final mixture?
A) 32.50 B) 34 C) 32 D) 21 E) 27
7. In a 120 litres mixture of milk and water, percentage of water is only 40%. The milkman gave 45 litres of this mixture to a customer and then added 15 litres of pure milk and 10 litres of pure water to the remaining mixture. What is the respective ratio of quantity of milk and water in the new mixture?
A) 3 : 2 B) 11 : 5 C) 8 : 5 D) 15 : 8 E) 12 : 7
8. In a mixture of milk and water, water was only 20%. 50 litres of this mixture was taken out and then 5 litres of pure water was added to the mixture. If the resultant ratio of milk and water in the mixture was 8 : 3 respectively, what was the initial quantity of mixture (before the replacement)? (In litres)
A) 88 B) 96 C) 120 D) 100 E) 84
9. A vessel contains coconut water and vodka i.e., 120 liters of the mixture, coconut water is 40% more than the vodka. 72 liters of mixture taken out and 26 liters of coconut water is and some quantity of vodka is also added to the vessel, after that the respective ratio of the resultant mixture of vodka and coconut water becomes 2 : 3, then find the final quantity of the vodka in the vessel. (In litres)
A) 54 B) 46 C) 35 D) 34 E) 36
10. A jar had a certain quantity (in litres) of water, to which pure milk of four times of the quantity water was added. 20 litres of the mixture from the jar was taken out and was replaced with 12 litres of pure milk, as result of which water constituted 10% of the resultant mixture. What was the initial quantity of water in the jar?
A) 7 litres B) 8 litres C) 10 litres D) 4.8 litres E) 6.4 litres
11. Vessel P contains 95 liters of wine and water in the ratio 12 : 7 respectively and vessel Q contains 117 liters of wine and water in the ratio 7 : 6 respectively. If these two mixtures mixed in another vessel R, then find the respective ratio of water and wine.
A) 123 : 68 B) 144 : 75 C) 64 : 127 D) 84 : 125 E) 89 : 123
12. A mixture of alcohol and water in a jar contains 32 liters of alcohol and 10 liters of water. X liters of alcohol and X liters of water are added to a new mixture. If 60% of the new mixture is 36 liters, then find the value of X.
A) 4 B) 7 C) 9 D) 6 E) 19
Key 1-D; 2-A; 3-D; 4-C; 5-A; 6-D; 7-A; 8-D; 9-E; 10-E; 11-E; 12-C.
