DELHI POLICE QUANT (MENSURATION) QUIZ

Question 1:

The perimeter of a semi-circular field is $72 \mathrm{~cm}$, find its radius.

$14 \mathrm{~cm}$

$7 \mathrm{~cm}$

$21 \mathrm{~cm}$

$28 \mathrm{~cm}$

Question 2:

Find the circumference of a circle whose area is 1232 $\mathrm{m}^{2}$.

$74 \sqrt{2}$

$88 \sqrt{2}$

$78 \sqrt{2}$

$84 \sqrt{2}$

Question 3:

Find the area of a square whose diagonal is $10 \mathrm{~m}$.

$10 \mathrm{~m}^{2}$

$50 \mathrm{~m}^{2}$

$100 \mathrm{~m}^{2}$

$110 \mathrm{~m}^{2}$

Question 4:

Length of each side of a rhombus is 12.5cm and one of the diagonal is 12cm. What is the area. (in ${~cm}^{2}$) of the rhombus?

$21 \mathrm{~cm}^{2}$

$42 \mathrm{~cm}^{2}$

$10.5 \mathrm{~cm}^{2}$

$50 \mathrm{~cm}^{2}$

Question 5:

The curved surface area of a right circular cylinder is $4.4 \mathrm{~m}^{2}$. If the radius of the base of the cylinder is $0.7 \mathrm{~m}$, find its height. [Assume $\pi=\frac{22}{7}$ ]

5 m

4 m

7 m

1 m

Question 6:

Find the total surface area of a cone, if its slant height is 21m and diameter of its base is 24m.

$1258 \mathrm{~m}^{2}$

$1248 \mathrm{~m}^{2}$

$1248.75 \mathrm{~m}^{2}$

$1244.57 \mathrm{~m}^{2}$

Question 7:

The number of diagonals in a polygon of 27 sides is:

324

320

322

325

Question 8:

The area of a rectangle is equal to the area of a square whose diagonal is $4 \sqrt{6} \mathrm{~cm}$. If the ratio of the length and width of the rectangle is $4: 3$, then find the perimeter of the rectangle?

$20 \mathrm{~cm} $

$16 \mathrm{~cm} $

$28 \mathrm{~cm} $

$24 \mathrm{~cm} $

Question 9:

The ratio of length and breadth of a Rectangle is 5:4, and the perimeter of the same rectangle is 180 . Then find the Area of the Rectangle.

2000

1800

2100

2500

Question 10:

The surface area of a solid cube is $726 \mathrm{~cm}^2$. It is melted and recast into a solid cylinder of radius $11 \mathrm{~cm}$. What is the height (in cm) of the cylinder? (Take $\left.\pi=\frac{22}{7}\right)$

3.5

5.5

1.9

2.5