Question : A canister holds 36 litres of a mixture of milk and water in a ratio of 3 : 1. 15 litres of milk is added to the canister. The new ratio of the mixture is:
Option 1: 12 : 5
Option 2: 14 : 3
Option 3: 7 : 4
Option 4: 9 : 4
Correct Answer: 14 : 3
Solution : Given: A canister holds 36 litres of a mixture of milk and water in a ratio of 3 : 1. Quantity of milk = $\frac{3}{4} × 36 = 27$ Quantity of water = $\frac{1}{4} × 36 = 9$ After adding 15 litres of milk, $\therefore$ New ratio $=(27 + 15):9 = 42:9 = 14:3$ Hence, the correct answer is 14 : 3.
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Question : In a mixture of 25 litres, the ratio of acid to water is 4 : 1. Another 3 litres of water is added. The ratio of acid to water in the new mixture is:
Option 1: 5 : 2
Option 2: 2 : 5
Option 3: 3 : 5
Option 4: 5 : 3
Question : Three vessels whose capacities are 3 : 2 : 1 are filled with milk mixed with water. The ratio of milk and water in the mixture of vessels is 5 : 2, 4 : 1, and 4 : 1, respectively. Taking $\frac{1}{3}$ of first, $\frac{1}{2}$ of second, and $\frac{1}{7}$ of third mixtures, a new mixture kept in a new vessel is prepared. The percentage of water in the new mixture is:
Option 1: 28%
Option 2: 32%
Option 3: 30%
Option 4: 24%
Question : The ratio of two numbers is 3 : 5. If eight is added to the first, and seven to the second, then the ratio becomes 2 : 3. What will the ratio become if six is added to each?
Option 1: 9 : 14
Option 2: 5 : 7
Option 3: 5 : 9
Option 4: 7 : 9
Question : Three containers whose volumes are in the ratio of 2 : 3 : 4 are full of a mixture of spirit and water. In the 1st container, the ratio of spirit and water is 4 : 1, in the second container the ratio is 11 : 4 and in the 3rd container the ratio is 7 : 3. All three mixtures are mixed in a big container. The ratio of spirit and water in the resultant mixture is:
Option 1: 4 : 9
Option 2: 11 : 4
Option 3: 5 : 10
Option 4: 9 : 5
Question : If 60 litres of a milk solution has 40% milk in it, then how much milk should be added to make the milk 60% in the solution?
Option 1: 30 litres
Option 2: 25 litres
Option 3: 20 litres
Option 4: 35 litres
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