Mixtures and Replacements 1/1

1. A cask contains alcohol solution with concentration 18%. If 6 Liters of this mixture is taken out and replaced with water, then concentration drops to 15%. What is the original volume in the cask.
a. 30 litres
b. 36 litres
c. 40 litres
d. 54 litres


2. From a solution containing milk and water in the ratio 3 : 4, 10 L is removed and replaced by water. If the resultant solution contains milk and water in the ratio 1 : 2 then what was the amount of the original solution ?
a. 3 : 5
b. 4 : 7
c. 5 : 7
d. 3 : 2


3. 10% of a solution of milk and water is removed and then replaced with the same amount of water. If the resulting ratio of milk and water is 2 : 3, find the ratio of milk and water in the original solution.
a. 4 : 9
b. 4 : 5
c. 5 : 4
d. 9 : 4


4. A beaker had 20 L of alcohol-glycerol mixture in the ratio 4 : 1 by volume. In the first round, 4 L of the mixture is removed and replaced with glycerol. In the second round, 5 L of the resultant solution is removed and replaced with glycerol. Finally, 10 L of the resultant mixture is removed and replaced with glycerol. What is the final quantity of glycerol in the mixture.
a. 15%
b. 18%
c. 24%
d. 76%


5. In a mixture of 80 L, milk and water are in the ratio 7:3. If 24 L of this mixture is replaced by 16 L if milk, find the final ratio of milk and water.
a. 10 : 7
b. 12 : 7
c. 23 : 7
d. 18 : 7





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