DELHI POLICE HEAD POLICE (MENSURATION 2D) QUANT

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Question 1:

Find the area of a rhombus whose side is $6 \mathrm{~cm}$ and whose altitude is $4 \mathrm{~cm}$. If one of the diagonals is $8 \mathrm{~cm}$ long, find the length of the other diagonal?

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?

Question 3:

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

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?

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 ;

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:

Question 7:

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

Question 8:

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

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:

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 $10 \mathrm{~m}$?