Quantitative Aptitude

1. There are two containers of equal capacity. The ratio of milk to water in the first container is 3 : 1, in the second container is 5 : 2. If they are mixed up, then the ratio of milk to water in the mixture will be 

(a) 28 : 41

(b) 41 : 28 

(c) 15 : 41

(d) 41 : 15

2. Zinc and copper are in the ratio 5 : 3 in 400 g of an alloy. How much of copper (in g) should be added to make the ratio 5 : 4? 

(a) 72

(b) 200

(c)  50

(d) 66

3. In a mixture of 60 L the ratio of acid and water is 2 : 1. If the ratio of acid and water is to be 1 : 2, then the amount of water (in litres) to be added to the mixture is 

(a) 55

(b) 60

(c) 50

(d) 45

4. In two blends of mixed tea, the ratios of Darjeeling and Assam tea are 4 : 7 and 2 : 5. He ratio in which these two blends should be mixed to get the ratio of Darjeeling and Assam tea in the new mixture as 6 : 13 is 

(a) 2 : 7

(b) 5 : 13

(c)  4 : 13

(d) 22 : 35

5. Two vessels A and B contain milk and water mixed in the ratio 8 : 5 and 5 : 2, respectively. The ratio in which these two mixtures be mixed to get a new mixture containing 69 3/13%  milk is 

(a) 3 : 5

(b) 5 : 2

(c)  5 : 7 

(d) 2 : 7 

6.  20 L of a mixture contains 20% alcohol and the rest water. If 4 L of water be mixed in it, the percentage water be mixed in it, the percentage of alcohol in the new mixture, will be 

(a) 33 1/3%

(b) 16 2/3%

(c)  25%

(d) 12 1/2%

7. Pure milk costs 16/L. After adding water the milkman sells the mixture 15/L and thereby makes a profit of 25%. In what respective ratio does he mix milk with water?

(a) 3 : 1

(b) 4 : 3

(c)  3 : 2

(d) 5 : 3

8. The ratio of milk and water in mixtures of four containers are 5 : 32 : 1, 3 : 2 and 7 : 4, respectively. In which container is the quantity of milk, relative to water, minimum?

(a) First 

(b) Second 

(c)  Third

(d) Fourth  

9. A shopkeeper bought 15 kg of rice at the rate of Rs. 29 per kg and 25 kg of rice at the rate of Rs. 20 per kg. He sold the mixture of both types of rice at the rate of Rs. 27 per kg. His profit in this transaction is 

(a) Rs. 125

(b) Rs. 150 

(c)  Rs. 140

(d) Rs. 145

10. A container contains 60 kg of milk. Form this container 6 kg of milk was taken out and replaced by water. This process was repeated further two times. The amount of milk left in the container is 

(a) 34.24 kg

(b) 39.64 kg

(c) 43.74 kg

(d) 47.6 kg

Answer Key:
1. (d) 41 : 15
2. (c)  50
3. (b) 60
4. (d) 22 : 35
5. (d) 2 : 7
6. (b) 16 2/3%
7. (a) 3 : 1
8. (c) Third  
9. (d) Rs. 145
10. (c) 43.74 kg