1. There are two vessels A and B. Vessel A is containing 40 litres of pure milk and vessel B is containing 22 litres of pure water. From vessel A, 8 litres of milk is taken out and poured into vessel B. Then 6 litres of mixture (milk and water) is taken out and from vessel B poured into vessel A. What is the ratio of the quantity of pure milk in vessel A to the quantity of pure water in vessel B? (2)
- (1) 14 : 9
- (2) 21 : 11
- (3) 24 : 13
- (4) 14 : 5
- (5) 21 : 13
2. How many kg of salt at Rs. 2 per kg must a man mix with 25 kg of salt at 1 Rs. per kg so that he may, on selling the mixture at Rs. 1.5 per kg gain 25% on the outlay? (1)
- (1) 6.25 kg
- (2) 18 kg
- (3) 12 kg
- (4) 12.5 kg
- (5) 15 kg
3. There is a mixture of alcohol and water containing 60% alcohol. Amit wants to dilute the mixture to 50% by adding some quantity of water to it. But instead of adding pure water he added pure alcohol to the mixture, now to get the mixture to 50% diluted, how much water as a fraction of the mixture must be added? (3)
- (1) 1/2
- (2) 1/4
- (3) 1/3
- (4) 1/5
- (5) None of these
4. Two equal glasses filled with mixtures of alcohol and water in the proportions of 2 : 1 and 1 : 1 respectively were emptied into third glass. What is the proportion of alcohol and water in the third glass? (2)
- (1) 5:7
- (2) 7:5
- (3) 7:6
- (4) 6:7
- (5) None of these
5. Several litres of acid were drawn off from a 54 litre vessel full of acid and equal amount of water was added. Again the same volume of the mixture was drawn off and replaced by water. As a result now, the vessel contained 24 litres of pure acid. How much of the acid (in litres) was drawn off initially? (3)
- (1) 12
- (2) 16
- (3) 18
- (4) 24
- (5) None of these