IBPS PO General Awareness: Mixture and Alligation questions with solutions

Q1. Read the information carefully and answer the following question. A right circular cylindrical vessel was filled with milk and water in the ratio 4:5. If x ml of the mixture was sold and replaced with x ml of pure milk, then the ratio of milk to water in the final mixture becomes 57:60. The quantity of mixture sold is 108 ml less than the initial quantity of mixture in the vessel. Q58. If 3x ml of the mixture was sold and 3x ml of milk and 2x ml of water is added to the vessel, then how much volume of the vessel is filled in cm³?

1. 113
2. 111
3. 130
4. 125

Answer: 111

Using the initial ratio 4:5 and the final ratio 57:60 after replacing x ml with pure milk, we can determine the vessel capacity and the value of x. The statement that the sold quantity is 108 ml less than the initial quantity helps fix the total volume. Applying the second replacement condition gives the filled volume as 111 cm³.