DELHI POLICE HEAD POLICE (MENSURATION 2D) QUANT

Question 1:

A rhombus whose side is $5$ cm and whose height is $4.8$ cm. If one diagonal is $8$ cm long, find the length of the other diagonal.

6 cm

8 cm

10 cm

5 cm

Question 2:

The area of a rectangle is 240 m² and the perimeter is 46 m. What is the measure of the tallest pole to be placed in that area?

16

7

17

8

Question 3:

Find the number of sides of regular polygon whose interior angle is $540^{\circ}$.

5

8

6

4

Question 4:

The length of two sides of a parallelogram are $8 \mathrm{~cm}$ and $15 \mathrm{~cm}$. What is the sum of the squares of the diagonals of the parallelogram?

$1156 \mathrm{~cm}^{2}$

$676 \mathrm{~cm}^{2}$

$578 \mathrm{~cm}^{2}$

$336 \mathrm{~cm}^{2}$

Question 5:

The lengths of three medians of a triangle are $9 \mathrm{~cm}, 12 \mathrm{~cm}$ and $15 \mathrm{~cm}$. The area (in sq. $\mathrm{cm}$ ) of the triangle is ;

24

72

48

144

Question 6:

The area of circular park is $12474 \mathrm{~m}^{2}$. There is $7 \mathrm{~m}$ wide path around the park. What is the area of the path:

$2592 \mathrm{~m}^{2}$

$2629 \mathrm{~m}^{2}$

$2926 \mathrm{~m}^{2}$

$3016 \mathrm{~m}^{2}$

Question 7:

If the circumference of a circle is 44 metre. Find the area of quadrant :

$154 \mathrm{~m}^{2}$

$77 \mathrm{~m}^{2}$

$38.5 \mathrm{~m}^{2}$

$616 \mathrm{~m}^{2}$

Question 8:

What is the perimeter of a right angled triangle whose sides (making $90^{\circ}$ ) are $40 \sqrt{3} \mathrm{~cm}$ and $20 \sqrt{3} \mathrm{~cm} ?$

$20 \sqrt{5}(5+\sqrt{3})$

$20 \sqrt{3}(3+\sqrt{5})$

$20 \sqrt{5}(3+\sqrt{5})$

$20 \sqrt{3}(5+\sqrt{3})$

Question 9:

A solid sphere of radius $1 \mathrm{~cm}$ is melted to convert into a wire of length $100 \mathrm{~cm}$. The radius of the wire (using $\sqrt{3}=1.732$ ) is:

$0.08 \mathrm{~cm}$

$0.09 \mathrm{~cm}$

$0.16 \mathrm{~cm}$

$0.11 \mathrm{~cm}$

Question 10:

The capacity of a cuboidal tank is 50000 litres of water. Find the breadth of the tank, if its length and depth are respectively $2.5 \mathrm{~m}$ and $10 \mathrm{~m}$?

3 m

4 m

2 m

5 m