Question : The radii of two cylinders are in the ratio of 4 : 5 and their heights are in the ratio of 5 : 2. The ratio of their volume is:

Option 1: 9 : 4

Option 2: 2 : 1

Option 3: 9 : 7

Option 4: 8 : 5

Question : The value of $6 \frac{8}{15}÷\frac{7}{9}$ of $\left(1 \frac{1}{10}+5 \frac{1}{5}\right)+\frac{2}{5}÷7 \frac{1}{5}$ is:

Option 1: $\frac{25}{16}$

Option 2: $\frac{5}{14}$

Option 3: $\frac{25}{18}$

Option 4: $\frac{5}{18}$

Question : Directions: Change the symbol and solve accordingly to find the correct answer from the alternatives given below.
9 @ 8 @ 7 = 24, 4 @ 7 @ 3 = 14, 2 @ 1 @ 9 = ?

Option 1: 10

Option 2: 18

Option 3: 11

Option 4: 12

Question : The heights of two right circular cones are in the ratio 1 : 5 and the perimeter of their bases are in the ratio 5 : 3. Find the ratio of their volumes.

Option 1: 8 : 11

Option 2: 7 : 6

Option 3: 5 : 9

Option 4: 3 : 4

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