Question : If the areas of two similar triangles are in the ratio 36 : 121, then what is the ratio of their corresponding sides?

Option 1: 6 : 11

Option 2: 11 : 5

Option 3: 6 : 5

Option 4: 5 : 12

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 : If the ratio of the diameters of two right circular cones of equal height is 3 : 4, then the ratio of their volume will be:

Option 1: 3 : 4

Option 2: 9 : 16

Option 3: 16 : 9

Option 4: 27 : 64

Question : The ratio of the volume of the two cones is 2 : 3, and the ratio of the radii of their bases is 1 : 2. The ratio of their heights is:

Option 1: 3 : 8

Option 2: 8 : 3

Option 3: 4 : 3

Option 4: 3 : 4

Question : If two circles of different radii touch externally, then what is the maximum number of common tangents that can be drawn to the two circles?

Option 1: 3

Option 2: 2

Option 3: 0

Option 4: 1