Question : An alloy contains a mixture of two metals X and Y in the ratio of 2 : 3. The second alloy contains a mixture of the same metals, X and Y, in the ratio 7 : 3. In what ratio should the first and the second alloys be mixed to make a new alloy containing 50% of metal X?

Option 1: 3 : 4

Option 2: 3 : 1

Option 3: 5 : 6

Option 4: 2 : 1

Question : Two jars A and B contain the solutions of two liquids P and Q. The ratio of the liquids P and Q in jars A and B are 2 : 19 and 1:11, respectively. If 7 litres of the solution of jar A and 4 litres of the solution of jar B are mixed, what is the ratio of the solutions P and Q in the new mixture?

Option 1: 10 : 1

Option 2: 1 : 9

Option 3: 9 : 1

Option 4: 1 : 10

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 : Two vessels contain milk and water in the ratios 3 : 2 and 7 : 3. Find the ratio in which the contents of the two vessels have to be mixed to get a new mixture in which the ratio of milk and water is 2 : 1.

Option 1: 2 : 1

Option 2: 1 : 2

Option 3: 4 : 1

Option 4: 1 : 4