Directions(1-15): Read the questions carefully and choose the appropriate option:

1. several litres of acid were drawn off a 54 L vessel full of acid and an equal amount of water added, Again, the same volume of the mixture was drawn off and replaced by water. As a result the vessel contained 24 L of pure acid. How much of the acid was drawn off initially ?
(1) 12 L
(2) 16 L
(3) 18 L
(4) 24 L
(5) None of these

2. 37.85% and 92% alcoholic solutions are mixed to get 35 L of an 89% alcoholic solution. How many litres of each solution are there in the new mixture ?
(1) 10 of the first and 25 of the second
(2) 20 of the first and 15 of the second
(3) 15 of the first and 20 of the second
(4) None of the above

3. Three containers, A, B and C are having mixtures of milk and water in the ratio 1 : 5, 3 : 5 and 5 : 7 respectively. If the capacities of the containers are in the ratio 5 : 4 : 5, then find the ratio of the milk to the water, if the mixtures of all the three containers are mixed together.
(1) 51 : 115
(2) 52 : 115
(3) 53 : 115
(4) 54 : 115
(5) None of these

4. A chemist has 10 L of a solution that is 10% nitric acid by volume. He wants to dilute the solution to 40% strength by adding water. How many litres of water must be add ?
(1) 15
(2) 20
(3) 18
(4) 25
(5) None of these

5. 5 L of water is added to a certain quantity of pure milk costing Rs 3/L. If by selling the mixture at the same price as before, a profit of 20% is made, then what is the amount of pure milk in the mixture ?
(1) 20 L
(2) 30 L
(3) 25 L
(4) 35 L
(5) None of these

6. How many kg of sugar costing Rs 5.75 per kg should be mixed with 75 kg of cheaper sugar costing Rs 4.50 per kg so that the mixture is worth Rs 5.50 per kg ?
(1) 350 kg
(2) 300 kg
(3) 250 kg
(4) 325 kg
(5) None of these

7. The amount of water (in ml.) that should be added to reduce 9 mL lotion, containing 50% alcohol, to a lotion containing 30% alcohol is :
(1) 5 mL
(2) 4 mL
(3) 3 mL
(4) 6 mL
(5) None of these

8. A person has a chemical of Rs 25 per litre. In what ratio should water be mixed in that chemical, so that after selling the mixture at Rs 20 per litre he may get a profit of 25% ?
(1) 13 : 16
(2) 12 : 15
(3) 16 : 9
(4) 19 : 22
(5) None of these

9. 50 g of an alloy of gold and silver contains 80% gold (by weight). The quantity of gold, that is to be mixed up with this alloy, so that it may contain 95% gold, is
(1) 200 g
(2) 50 g
(3) 150 g
(4) 10 g
(5) None of these

10. A bottle contains 3/4 of milk and the rest water. How much of the mixture must be taken away and replaced by an equal quantity of water so that the mixture has half milk and half water ?
(1) 25%
(2) 33.33%
(3) 45%
(4) 50%
(5) None of these

11. A mixture of 45 L of spirit and water contains 20% of water in it. How much water must be added to it make the water 25% in the new mixture ?
(1) 5 L
(2) 3 L
(3) 4 L
(4) 6 L
(5) None of these

12. In a mixture of 60 L, the ratio of milk and water is 2 : 1. If this ratio is to be 1 : 2, then the quantity of water to be further added is
(1) 30 L
(2) 20 L
(3) 40 L
(4) 60 L
(5) None of these

13. One test tube contains some acid and another test tube contains an equal quantity of water. To prepare a solution, 20 g of the acid is poured into the second test tube. Then, two-thirds of the so formed solution is poured from the second tube into the first. If the fluid in the first test tube is four times that in the second, what quantity of water was taken initially ?
(1) 80 g
(2) 60 g
(3) 40 g
(4) None of these
(5) All of these

14. One type of liquid contains 25% of milk, the other contains 30% of milk. A container is filled with 6 parts of the first liquid and 4 parts of the second liquid. The percentage of milk in the mixture is—
(1) 27%
(2) 31%
(3) 29%
(4) 33%
(5) None of these

15. A solution of sugar syrup has 15% sugar. Another solution has 5% sugar. How many litres of the second solution must be added to 20 L of the first solution to make a solution of 20% sugar.
(1) 10 L
(2) 5 L
(3) 15 L
(4) 20 L
(5) None of these

Solution