Question : Two beakers contain acid and water in the ratio 2 : 3 and 3 : 4 respectively. If equal volumes of the mixtures from these two beakers are poured into a common beaker, find the resultant ratio of acid to water in the mixture in the common beaker.

Option 1: 7 : 5

Option 2: 21 : 29

Option 3: 5 : 7

Option 4: 29 : 41

Question : Two vessels of equal capacity, and both completely filled, contain mixtures of milk and water in the ratio of 5 : 1 and 6 : 5, respectively. Both the mixtures are now mixed thoroughly. What is the ratio of milk to water in the new mixture so obtained?

Option 1: 105 : 67

Option 2: 57 : 41

Option 3: 91 : 41

Option 4: 28 : 43

Question : Two vessels A and B contain milk and water mixed in the ratios 4 : 3 and 2 : 3. The ratio in which these mixtures need to be mixed to form a new mixture containing half milk and half water is:

Option 1: 7 : 5

Option 2: 6 : 5

Option 3: 5 : 6

Option 4: 4 : 3

Question : The ratio of spirit and water in two mixtures of 46 litres and 50 litres is 11 : 12 and 2 : 3 respectively. Both the mixtures are mixed. Find the ratio of the spirit and water in the new mixture.

Option 1: 8 : 9

Option 2: 7 : 9

Option 3: 5 : 6

Option 4: 3 : 7

Question : If the ratio of the volumes of two cylinders is 7 : 5 and the ratio of their heights is 5 : 7, then what is the ratio of their radii?

Option 1: 5 : 7

Option 2: 3 : 4

Option 3: 5 : 9

Option 4: 4 : 5

Question : A bottle holds 8 litres of a mixture of milk and water in a ratio of 3 : 1. 3 litres of water is added to the given mixture. Find the new ratio of milk and water in the mixture.

Option 1: 3 : 2

Option 2: 1 : 3

Option 3: 2 : 3

Option 4: 6 : 5