Mixture and Alligation

Total Questions: 50

1. A solution of phenyl and water is 28 litres, with phenyl and water in ratio 4 : 3. 21 litres phenyl-water solution which has phenyl to water ratio as 2 : 1 is added to the 28 litres phenyl-water solution. Again 51 litres phenyl-water solution that has phenyl to water ratio as 9 : 8 is added to this. What is ratio of water to phenyl in the final mixture ? [SSC MTS 09/10/2024 (Evening)]

Correct Answer: (a) 57 : 43
Solution:

2. Two different quantities of the same solution having ingredients A and B are stored in two different containers. In the first container, there are 252 litre of A and 441 litre of B. In the second container, the total quantity of the solution was 1188 litre. How much of the solution in the second container was made up of ingredient B ? [SSC CGL 13/09/2024 (2nd Shift)]

Correct Answer: (a) 765 litre
Solution:

3. A bucket contains a mixture of milk and water in the proportion of 7 : 5. If 9 litres of milk is replaced by water, then the ratio becomes 7 : 9. How much milk was there in the bucket initially ? [SSC CHSL 10/07/2024 (4th Shift)]

Correct Answer: (c) 36 litres
Solution:

4. A drink is made by mixing water and juice in the ratio 9 : 7. If x litres of water and 2x litres of juice are mixed in 160 litres of drink, then the new ratio becomes 13 : 15. The quantity of drink (in litres) is: [SSC CPO 29/06/2024 (2nd Shift)]

Correct Answer: (d) 260
Solution:

5. 80 litres of a mixture of spirit and water in the ratio 7 : 9 is present in a container A. 20 litres of the mixture is transferred to another container B. Then the container A is filled with 20 litres of water. Then 32 litres of the mixture is again transferred to container B. The ratio of water to spirit of the mixture in container B is equal to: [SSC CGL Tier II (26/10/2023)]

Correct Answer: (a) 131 : 77
Solution:


6. At a certain time in a park, the number of heads and the number of legs of monkeys and human visitors were counted, and it was found that there were 54 heads and 148 legs. Find the number of monkeys in the park. [SSC CGL Tier II (26/10/2023)]

Correct Answer: (b) 20
Solution:

7. A milk vendor has 2 vessels of milk and water. The first contains 80% milk and the rest is water. The second contains 50% milk. How much mixture (in L) should he mix from each of the vessels so as to get 9 litres of mixture such that the ratio of water to milk is 1 : 2 ? (Write your answer in the order of vessel 1 and vessel 2) [SSC MTS 13/09/2023 (1st Shift)]

Correct Answer: (c) 5, 4
Solution:

8. A blended tea in a barrel contains Assam, Darjeeling and Nilgiri Hills in the ratio 2 : 3 : 1. Another barrel contains Darjeeling, Nilgiri Hills and Kangra Valley in the ratio 5 : 4 : 3. If equal weights of both blended tea mix together to make a new brand, then the weight of Kangra Valley per kilogram in the new brand is: [SSC CHSL 10/08/2023 (3rd Shift)]

Correct Answer: (d) 125 gm
Solution:

9. From a cask of milk containing 64 liters, 8 liters are drawn out and the cask is filled up with water. If the same process is repeated a second, then a third time, what will be the proportion of milk to water in the resulting mixture ? [SSC CHSL 09/08/2023 (2nd Shift)]

Correct Answer: (b) 343 : 169
Solution:

10. A jar contains 35% syrup in the mixture of syrup and water. A part of this mixture is replaced by another mixture containing 20% syrup. Now, in the new mixture, the percentage of syrup is found to be 24%. What is the ratio in which these mixtures were mixed to obtain the new mixture ? [SSC CHSL 07/08/2023 (2nd Shift)]

Correct Answer: (c) 4 : 11
Solution: