Mixture and Alligation (SSC) (Part-2)

Total Questions: 36

11. Two jars A and B are containing the solutions of two liquids P and Q . The ratio of the liquids P and Q in the jars A and B are 2 : 19 and 1 : 11, respectively. If 7 litres of the solution of jar A and 4 litres of the solution of jar B are mixed, what is the ratio of the solutions P and Q in the new mixture ? [SSC CHSL 11/08/2023 (4th Shift)]

Correct Answer: (d) 1 : 10
Solution:

12. A mixture of 70 litres of wine and water contains 10% of water. How much water must be added to make the water 12 ½% of the resulting mixture ? [SSC CHSL 14/08/2023 (4th Shift)]

Correct Answer: (c) 2 litres
Solution:

13. A cask having a capacity of 600 litres is initially filled with wine. From this cask y litres of wine are first drawn and replaced with water. From the mixture, 120 litres are drawn and replaced with water. From this further diluted mixture, 120 litres are drawn again and replaced with water. The ratio of wine to water in the cask is now 12 : 13. What is the value of y ? [SSC CHSL 17/08/2023 (1st Shift)]

Correct Answer: (b) 150
Solution:

14. In what ratio must water be mixed with milk, costing ₹32 per litre, in order to get a mixture costing ₹28 per litre ? [SSC CGL 14/07/2023 (2nd shift)]

Correct Answer: (b) 1 : 7
Solution:

15. One quality of rice at ₹45 per kg is mixed with another quality at a certain rate in the ratio of 3 : 2. If the mixture so formed is worth ₹50 per kg, what is the rate per kg of the second quality of rice? [SSC CGL 17/07/2023 (3rd shift)]

Correct Answer: (b) ₹57.5
Solution:


16. Rice worth ₹126 per kg and ₹135 per kg are mixed with a third variety in the ratio of 1 : 1 : 2. If the mixture is worth ₹153 per kg, then the price of the third variety per kg (in ₹) is: [SSC CGL 21/07/2023 (2nd shift)]

Correct Answer: (d) 175.5
Solution:

17. If 36 litres of 20% milk solution is mixed with 48 litres of 10% milk solution, then what will be the percentage concentration of milk in the final solution [Higher Secondary 27/06/2023 (Shift - 3)]

Correct Answer: (a) 14.28%
Solution:

18. A merchant bought two qualities of rice at the rate of Rs.120/kg and Rs.220/kg. In 72kg of the second quality rice, how much rice (in kg) of the first quality should be mixed so that the resulting mixture may be sold at the rate [Matriculation Level 27/06/2023 (Shift - 2)]

Correct Answer: (d) 18
Solution:

19. In A mixture of 180 litres, the ratio of milk and water is 5 : 1. If this ratio is to be 3 : 2, then find the quantity of water to be further added ? (in litres) [SSC MTS 03/05/2023 (Afternoon)]

Correct Answer: (b) 70
Solution:

20. There are three cups of mixture of milk and water in ratio 4 : 5, 5 : 6, 9 : 7. 36 liters of first and 44 liters of second cup are taken. How much quantity from third cup is to be taken so that final mixture from the three cups will have milk and water in ratio 1 : 1 ? ( in litres ) [SSC MTS 10/05/2023 (Afternoon)]

Correct Answer: (b) 64
Solution: