Mixture and Alligation

Total Questions: 50

21. Fresh fruit contains 68% water and dry fruit contains 20% water. How much dry fruit can be obtained from 100 kg of fresh fruit [SSC CPO 16/03/2019 (Morning)]

Correct Answer: (d) 40
Solution:

22. If two kinds of resins costing ₹160 per kg and ₹210 per kg are mixed in the ratio of 2 : 3, then find the cost (in ₹) of the mixture per kg. [SSC MTS 17/10/2024 (Evening)]

Correct Answer: (d) 190
Solution:

23. A chef has two cans of acids and water mixture. He combines the contents of both cans in a beaker. The resulting mixture has half water and half acid. What is the quantity in which he mixed the contents of can 1 and can 2, given that can 2 has an acid-to-water ratio of 2 : 3 and can 1 has an acid-to-water ratio of 5 : 3 ? [SSC MTS 18/10/2024 (Afternoon)]

Correct Answer: (c) 4 : 5
Solution:

24. A vessel contains 80 litres of a mixture of alcohol and water in the ratio of 3 : 7. If 40 litres of the mixture is taken out from the vessel and replaced with 40 litres of water, then the ratio of alcohol and water becomes: [SSC MTS 21/10/2024 (Morning)]

Correct Answer: (c) 3 : 17
Solution:

25. A can contains a mixture of two liquids, grape juice and pineapple juice in the ratio 13 : 11. When 8 litres of the mixture is drawn off, and the can is filled with pineapple juice, the ratio becomes 13 : 14. How many litres of pineapple juice was initially contained in the can ? [SSC MTS 21/10/2024 (Afternoon)]

Correct Answer: (d) 33 litres
Solution:

26. A shopkeeper of a subsidised canteen mixed three varieties of rice, X, Y and Z, in the ratio of 4 : 1 : 3 to make a packet of 4 kg of rice. The cost prices per kg of X, Y and Z varieties of rice are ₹2, ₹4 and ₹6, respectively. What is the cost price (in ₹) of the packet of rice ? [SSC MTS 13/11/2024 (Morning)]

Correct Answer: (a) 15
Solution:

27. Rice worth ₹84 per kg and ₹96 per kg is mixed with a third variety of rice in the ratio 1 : 1 : 2. If the mixture is worth ₹99 per kg, the price of the third variety per kg is: [SSC MTS 14/11/2024 (Afternoon)]

Correct Answer: (a) ₹108
Solution:

28. The concentrations of three acids, A, B, and C, are specified as 20%, 30%, and 40%, respectively. They are blended in a ratio of 3 : 5 : a, yielding a solution with a concentration of 30%. What is the value of 'a' ? [SSC CGL 10/09/2024 (2nd Shift)]

Correct Answer: (d) 3
Solution:

29. A merchant mixes two varieties of sugar of 5 kg and 3 kg, which costs him ₹4 and ₹6 per kg, respectively. What is the cost price (in ₹) of the mixture per kg [SSC CGL 12/09/2024 (3rd Shift)]

Correct Answer: (d) 4.75
Solution:

30. A shopkeeper mixes two types of rice costing ₹250/5 kg and ₹280/5 kg in the ratio 7 : 8. Find the net cost of the resultant mixture (per kg). [SSC CGL 13/09/2024 (1st Shift)]

Correct Answer: (b) ₹53.20
Solution: