Question : The height of a cylinder is $\frac{2}{3}$rd of its diameter. Its volume is equal to the volume of a sphere whose radius is 4 cm. What is the curved surface area (in cm²) of the cylinder?

Option 1: $\frac{112}{3} \pi$

Option 2: $32 \pi$

Option 3: $\frac{128}{3} \pi$

Option 4: $40 \pi$

Question : If the radius of a sphere is doubled, then its surface area will be increased by:

Option 1: 100%

Option 2: 200%

Option 3: 300%

Option 4: 400%

Question : Directions: The price of an article has been reduced by 25%. To restore the original price, the new price must be increased by?

Option 1: $11\frac{1}{9}\%$

Option 2: $66\frac{2}{3}\%$

Option 3: $9\frac{1}{11}\%$

Option 4: $33\frac{1}{3}\%$

Question : If the numerator of a fraction is increased by 60% and the denominator is increased by 40%, then the resultant fraction is $\frac{16}{63}$. The original fraction is:

Option 1: $\frac{5}{9}$

Option 2: $\frac{2}{9}$

Option 3: $\frac{2}{11}$

Option 4: $\frac{4}{9}$

Question : Which of the following statements is not correct?

Option 1: For a given radius and height, a right circular cone has a lesser volume than a right circular cylinder.

Option 2: If the side of a cube is increased by 10%, the volume will increase by 33.1%.

Option 3: If the radius of a sphere is increased by 20%, the surface area will increase by 40%.

Option 4: Cutting a sphere into 2 parts does not change the total volume.