1. A vessel contains a mixture of milk and water in the respective ratio of 3:1. 32 litres of the mixture was taken out and replaced with the same quantity of milk so that the resultant ratio between the quantities of milk and water in the mixture was 4:1 respectively. If 10 litres of the mixture is again taken out from the vessel, what Is the resultant quantity of water in the mixture? (in litres) (b)
a. 24
b. 30
c. 20
d. 36
2. From a container of milk, 5 litres of milk is replaced with 5 litres of water. This process is repeated again. Thus in two attempts, the ratio of milk and water became 81: 19. The initial amount of milk in the container was (a)
a. 50 litres
b. 45 litres
c. 40 litres
d. 25 litres
3. A 20-litre mixture contains milk and water In the respective ratio of 3:2. Then 10 litres of the mixture is removed and replaced with pure milk and the operations is repeated once more. At the end of the two removals and replacements, what Is the ratio of milk and water In the resultant mixture respectively? (b)
a. 17:3
b. 9:1
c. 4:17
d. 5:3
4. When one litre of water is added to a mixture of acid and water, the new mixture contains 20% acid. When one litre of acid is added to the new mixture, then the resulting mixture contains 331 3 % acid. The percentage of acid In the original mixture was (d)
a. 20%
b. 22%
c. 24%
d. 25%
5. There were 120 litres of pure milk In a vessel. Some quantity of milk was taken out and replaced with 23 litres of water In such a way that the resultant ratio between the quantities of milk and water in the mixture was 4:1 respectively. Again 23 litres of the mixture was taken out and replaced with 27 litres of water. What is the respective ratio of milk and water In the resultant mixture? (c)
a. 58: 37
b. 116: 69
c. 368: 227
d. 101: 37