Question : A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?

Option 1: $\frac{1}{3}$

Option 2: $\frac{1}{4}$

Option 3: $\frac{1}{5}$

Option 4: $\frac{1}{7}$

Question : A milkman mixes water with milk and sells the mixture at the cost price of pure milk. The volume of water in litres to be mixed with each litre of milk to get a 25% profit is:

Option 1: $\frac{1}{4}$ litre

Option 2: $\frac{1}{5}$ litre

Option 3: $1\frac{1}{4}$ litre

Option 4: Cannot be calculated without knowing the cost price of milk.

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

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 : Which of the following options are homogeneous mixtures?

Option 1: Solution, colloid, suspension, milk, toothpaste, salt water and brass

Option 2: The solution, salt water and Brass

Option 3: Solution, Colloid, Milk, Toothpaste, Saltwater, and Brass

Option 4: Colloid, suspension, milk and toothpaste