Question : The curved surface area of a cylinder is five times the area of its base. Find the ratio of the radius and height of the cylinder.

Option 1: 2 : 3

Option 2: 3 : 5

Option 3: 2 : 5

Option 4: 3 : 4

Question : If the side of an equilateral triangle is increased by 34%, then by what percentage will its area increase?

Option 1: 70.65%

Option 2: 79.56%

Option 3: 68.25%

Option 4: 75.15%

Question : The radius of a circle is 5 cm. Calculate the length of a tangent drawn to this circle from a point at a distance of 10 cm from its centre.

Option 1: $5 \sqrt{5}$ cm

Option 2: $5 \sqrt{2}$ cm

Option 3: $5$ cm

Option 4: $5 \sqrt{3}$ cm

Question : Water tax is increased by 20% but its consumption is decreased by 20%. Then, the increase or decrease in the expenditure of money is:

Option 1: 5% decrease

Option 2: 4% decrease

Option 3: No change

Option 4: 4% increase

Question : The curved surface area of a right circular cone is 2310 cm$^2$ and its radius is 21 cm. If its radius is increased by 100% and height is reduced by 50%, then its capacity (in litres) will be (correct to one decimal place): (Take $\pi=\frac{22}{7}$)

Option 1: 27.8

Option 2: 28.2

Option 3: 26.7

Option 4: 25.9