Practice MCQ Questions and Answer on Alligation
1.
If X beakers of 100 ml containing 1 : 4 acid-water solution are mixed with Y beakers of 200 ml containing 3 : 17 acid-water solution then the ratio of acid to water in the resulting mixture becomes 19 : 91. Find X : Y.
- (A) 5 : 3
- (B) 3 : 5
- (C) 7 : 13
- (D) 13 : 7
2.
A drum contains 80 litres of ethanol. 20 litres of this liquid is removed and replaced with water. 20 liters of this mixture is again removed and replaced with water. How much water (in litres) is present in this drum now?
- (A) 45
- (B) 40
- (C) 35
- (D) 44
3.
The ratio, in which tea costing Rs. 192 per kg is to be mixed with tea costing Rs. 150 per kg so that the mixed tea when sold for Rs. 194.40 per kg, gives a profit of 20%.
- (A) 2 : 5
- (B) 3 : 5
- (C) 5 : 3
- (D) 5 : 2
4.
A can contains a mixture of two liquids A and B is the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially?
- (A) 10
- (B) 20
- (C) 21
- (D) 25
5.
8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of water is 16 : 65. How much wine did the cask hold originally?
- (A) 18 litres
- (B) 24 litres
- (C) 32 litres
- (D) 42 litres
6.
In a zoo, there are Rabbits and Pigeons. If heads are counted, there are 200 and if legs are counted, there are 580. How many pigeons are there?
- (A) 90
- (B) 100
- (C) 110
- (D) 120
7.
One quantity of wheat at Rs 9.30 per Kg is mixed with another quality at a certain rate in the ratio 8 : 7. If the mixture so formed be worth Rs 10 per Kg, what is the rate per Kg of the second quality of wheat?
- (A) Rs. 12.47
- (B) Rs. 10.80
- (C) Rs. 15.17
- (D) Rs. 47.66
8.
Three types of wheat of Rs. 1.27, Rs. 1.29 and Rs. 1.32 per kg are mixed together to be sold at Rs. 1.30 per kg. In what ratio should this wheat be mixed?
- (A) 1 : 2 : 3
- (B) 2 : 2 : 3
- (C) 2 : 3 : 1
- (D) 1 : 1 : 2
9.
A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?
- (A) $$\frac{{1}}{{3}}$$
- (B) $$\frac{{1}}{{4}}$$
- (C) $$\frac{{1}}{{5}}$$
- (D) $$\frac{{1}}{{7}}$$
10.
3 L water is taken out from vessel full of water and substituted by pure milk. This process is repeated two more times. Finally, the ratio of milk and water in the solution becomes 1728 : 27. Find the volume of the original solution.
- (A) 3 L
- (B) 5 L
- (C) 4 L
- (D) 9 L