MIXTURE AND ALLIGATION (QUANTITATIVE APTITUDE) EPFO UPSC

Total Questions: 30

11. A merchant lent out ₹ 1,000 in two parts, one at 8% and the other at 10% interest. The yearly average comes out to be 9.2%. Find the amount lent in two parts.

Correct Answer: (a) ₹ 400, ₹ 600 
Solution:

12. How many kg of salt at 42 paise per kg must a man mix with 25 kg of salt at 24 paise per kg so that he may, on selling the mixture at 40 paise per kg gain 25% on the outlay?

Correct Answer: (c) 20 kg
Solution:

13. A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced is:

Correct Answer: (b) 2/3
Solution:

14. The number of millilitres of water added to reduce 9 ml of aftershave lotion, containing 50% alcohol, to a lotion containing 30% alcohol is

Correct Answer: (d) 6
Solution:

15. A mixture of Nitric acid and Sulfuric acid is taken in the ratio of 1 : 2 and another mixture of the same is taken in the ratio 2 : 3. How many parts of the two mixtures must be taken to attain a new mixture consisting of Nitric acid and Sulfuric acid in the ratio of 3 : 5?

Correct Answer: (a) 3 : 5 
Solution:

16. In what ratio must a grocer mix two varieties of pulses costing ₹ 15 and ₹ 20 per kg respectively so as to get a mixture worth ₹ 16.50 per kg?

Correct Answer: (c) 7 : 3 
Solution:

17. Find the ratio in which rice at ₹ 7.20 a kg be mixed with rice at ₹ 5.70 a kg to produce a mixture worth ₹ 6.30 a kg.

Correct Answer: (b) 2 : 3
Solution:

18. In what ratio must water be mixed with milk costing ₹ 12 per litre to obtain a mixture worth of ₹ 8 per litre?

Correct Answer: (a) 1 : 2  
Solution:

19. In what ratio must a grocer mix two varieties of tea worth ₹ 60 a kg and ₹ 65 a kg so that by selling the mixture at ₹ 68.20 a kg he may gain 10%?

Correct Answer: (a) 3 : 2  
Solution:

20. In a mixture of milk and water the proportion of water by weight was 75%. If in the 60 gms mixture 15 gms water was added, what would be the percentage of water in the new mixture?

Correct Answer: (d) None of these
Solution: