Mixture and Alligation

Total Questions: 50

11. In a solution of water and milk, the quantity of milk is double the quantity of water. To pass the quality standards, the solution must contain 90% milk in it. If the volume of the solution is v, then how much pure milk in litres is to be added to the solution to pass the quality standard. [SSC CHSL 02/08/2023 (2nd Shift)]

Correct Answer: (d)
Solution:


12. Alloy X contains 70% copper and 30% zinc. Alloy Y contains 40% copper, 25% zinc and 35% aluminum. Alloy X and Y are mixed in the ratio of 1 : 3. What is the ratio of copper and zinc in the newly formed alloy ? [SSC MTS 17/05/2023 (Afternoon)]

Correct Answer: (a) 38 : 21
Solution:

13. A jar contains a mixture of milk and water, having 50% water. A part of this mixture is replaced by another mixture having 29% water. The percentage of water in the jar after replacement is 36%. What fraction of the original mixture was replaced ? [SSC MTS 10/05/2023 (Afternoon)]

Correct Answer: (d)
Solution:

14. Two vessels of equal capacity, and both completely filled, contain mixtures of milk and water in the ratio 5 : 1 and 6 : 5, respectively. Both the mixtures are now mixed thoroughly. What is the ratio of milk to water in the new mixture so obtained ? [SSC MTS 13/07/2022 (Evening)]

Correct Answer: (a) 91 : 41
Solution:

15. Babulal runs a juice corner outside a park and sells giloy juice (giloy + water) in the morning. Initially he had 19 litres of juice, which had giloy and water in the ratio 2 : 9. He sold 2½ liters of juice Later, in order to dilute it, he added some water and the ratio of giloy and water became 1 : 5. How much water was added ? [SSC MTS 27/10/2021 (Morning)]

Correct Answer: (a)
Solution:

16. Alloy A contains metal x and y only in the ratio 5 : 2 and alloy B contains these metals in the ratio 3 : 4. Alloy C is prepared by mixing A and B in the ratio 4 : 5. The percentage of x in alloy C is: [SSC CGL Tier II (16/11/2020)]

Correct Answer: (d)
Solution:

17. Two bottles of same capacity are 35% and 33⅓% full of orange juice respectively. They are filled up completely with apple juice and then the contents of both bottles are emptied into another vessel. The percentage of apple juice in the mixture is: [SSC CGL 03/03/2020 (Afternoon)]

Correct Answer: (d)
Solution:


18. A vessel contains a 32 litre solution of acid and water in which the ratio of acid and water is 5 : 3. If 12 litres of the solution are taken out and 7½ litres of water are added to it, then what is the ratio of acid and water in the resulting solution ?  [SSC CGL Tier II (13/09/2019)]

Correct Answer: (b) 5 : 6
Solution:

19. The ratios of copper to Zinc in alloys A and B are 3 : 4 and 5 : 9 respectively. A and B are taken in the ratio 2 : 3 and melted to form a new alloy C. What is the ratio of copper to Zinc in C ? [SSC CGL Tier II (11/09/2019)]

Correct Answer: (a) 27 : 43
Solution:

20. A milkman uses three containers for selling milk, their capacities being 40L, 30L and 20L respectively. He fills respectively 87.5%, 80% and 90% of the containers with a mix of milk and water in the ratios, 3 : 2, 5 : 1 and 7 : 2 respectively. What is the ratio of total quantity of milk to that of water carried by him ? [SSC CHSL 10/07/2019 (Evening)]

Correct Answer: (c) 5 : 2
Solution: