Question : The heights of two cones are in the ratio 7 : 5 and their diameters are in the ratio 10 : 21.
What is the ratio of their volumes? (Where $\pi=\frac{22}{7}$)

Option 1: 26 : 47

Option 2: 14 : 19

Option 3: 20 : 63

Option 4: 17 : 21

Question : The ratio of the radii of two cylinders is $2:3$ and the ratio of their heights is $5:3$. The ratio of their volumes will be:

Option 1: $9:4$

Option 2: $20:27$

Option 3: $4:9$

Option 4: $27:20$

Question : Pipes A, B, and C can fill a tank in 15, 30 and 40 hours, respectively. Pipes A, B, and C are opened at 6 a.m., 8 a.m., and 10 a.m. on the same day. When will the tank be full?

Option 1: 3:20 p.m. 

Option 2: 11:20 p.m.

Option 3: 7:20 p.m.

Option 4: 5:20 p.m.

Question : The perimeters of two similar triangles are 36 cm and 24 cm, respectively. Find the ratio of their areas.

Option 1: 6 : 13

Option 2: 2 : 3

Option 3: 9 : 4

Option 4: 35 : 24

Question : The areas of the two triangles are in the ratio 4 : 3 and their heights are in the ratio 6 : 5. Find the ratio of their bases.

Option 1: 5 : 6

Option 2: 10 : 9

Option 3: 6 : 5

Option 4: 9 : 10