Question : If the ratio of the altitudes of two triangles is 3 : 4 and the ratio of their corresponding areas is 4 : 3, then the ratio of their corresponding lengths of bases is:

Option 1: 1 : 1

Option 2: 16 : 9

Option 3: 1 : 2

Option 4: 2 : 1

Question : The ratio of areas of two circles is 81 : 121. What will be the ratio of their circumferences?

Option 1: 9 : 11

Option 2: 121 : 81

Option 3: 11 : 9

Option 4: 81 : 121

Question : 360 cm² and 250 cm² are the areas of the two similar triangles. If the length of one of the sides of the first triangle is 8 cm, then the length of the corresponding side of the second triangle is:

Option 1: $6\frac{1}{5}\;\operatorname{ cm}$

Option 2: $6\frac{1}{3}\;\operatorname{ cm}$

Option 3: $6\frac{2}{3}\;\operatorname{ cm}$

Option 4: $6\;\operatorname{ cm}$

Question : The ratio of the ages of two boys is 5 : 6. After two years, the ratio will be 7 : 8. Determine the ratio of their ages after 12 years.

Option 1: $\frac{22}{24}$

Option 2: $\frac{15}{16}$

Option 3: $\frac{17}{18}$

Option 4: $\frac{11}{12}$

Question : If the difference between the two numbers is 20 percent of their sum, then what is the ratio of larger number and smaller number?

Option 1: 6 : 5

Option 2: 5 : 4

Option 3: 4 : 3

Option 4: 3 : 2