Mixture and Alligation

Total Questions: 50

41. A mixture of 750 kg of alloy of copper and tin contains 25% tin. How much tin must be added so that it becomes 70% of the mixture ? [SSC CPO 27/06/2024 (2nd Shift)]

Correct Answer: (c) 1125 kg
Solution:

42. In alloys A and B, the ratio of lead to tin is 5 : 3 and 3 : 1, respectively. 80 kg of alloy A and 100 kg of alloy B are mixed together to form a new alloy. What is the amount of tin (in kg) in the new alloy ? [SSC CPO 27/06/2024 (3rd Shift)]

Correct Answer: (d) 55
Solution:

43. A vessel contains 18 litres mixture of milk and water in the ratio 5 : 1. If 3 litres of milk is added to the vessel, then how much water (in litres) should be added to the vessel to have milk and water in the ratio 9 : 2 ? [SSC CPO 28/06/2024 (3rd Shift)]

Correct Answer: (a) 1
Solution:

44. An alloy contains the metals A, B and C in the ratio 2 : 3 : 1 and another contains the metals B, C and D in the ratio 5 : 4 : 3. If equal weights of both alloys are mixed together to form a third alloy, then how much part of the metal B is in the new alloy ? [SSC CPO 29/06/2024 (3rd Shift)]

Correct Answer: (d)
Solution:

45. A chemistry laboratory requests for a 25% solution of ferrous sulphate. A supplier has 40 millilitres of 20% solution. How many millilitres of 40% solution should be added to make it a 25% solution (correct to two decimal places) ? [Matriculation Level 20/06/2024 (Shift - 1)]

Correct Answer: (c) 13.33
Solution:

46. Two containers of equal capacity are full of mixture of milk and water. In the first, the ratio of milk to water is 3 : 7 and in the second it is 7 : 9, Now both the mixtures are mixed in a bigger container. What is the resulting ratio of milk to water ? [Matriculation Level 24/06/2024 (Shift - 1)]

Correct Answer: (d) 59 : 101
Solution:


47. There are two types of rice. Type 1 rice costs ₹20 per kg and type 2 rice costs 25 per kg. Both the rice are mixed in the ratio 2 : 3. Find the cost (in ₹) of the mixed rice per kg. [Matriculation Level 24/06/2024 (Shift - 4)]

Correct Answer: (c) 23
Solution:

48. The rice sold by a grocer contained 20% of low-quality rice. What quantity of good- quality rice should be added to 175 kg of mixed rice so that the percentage of low- quality rice remains 10% ? [Matriculation Level 24/06/2024 (Shift - 4)]

Correct Answer: (a) 175 kg
Solution:

49. The initial ratio of water and milk in a mixture of 84 litres is 2 : 5. What quantity of water (in litres) should be added to the mixture so that the resulting mixture has 50% of water ? [Matriculation Level 25/06/2024 (Shift - 1)]

Correct Answer: (a) 36
Solution:

50. From a container having pure milk, 40% is replaced by water and the process is repeated thrice. At the end of the third operation, the purity of milk is: [Matriculation Level 26/06/2024 (Shift - 1)]

Correct Answer: (c) 21.6%
Solution: