Arihant Expert Team Solutions for Exercise 1: Most Important Questions

Sum of the interior angles of a regular polygon is ${1440}^{\mathrm{o}}$. The number of sides of the polygon is:

A square park has each side $50$ m. At each corner of the park, there is a flower bed in the form of a quadrant of radius $7$ m, as shown in the figure. Find the area of the remaining part of the park.

If the length of a rectangle is increased by $25\%$ and the width is decreased by $20\%$, then the area of the rectangle:

The length of the rope by which a buffalo must be tethered, so that she may be able to graze a grassy area of $2464$ sq. m is:

A took $15$ s to cross a rectangular field diagonally, walking at the rate of $52$ m/min. B took the same time to cross the same field along its side walking at the rate of $68$ m/min. The area of the field is:

The area of a field in the shape of a trapezium measures $1440$ m². The perpendicular distance between its parallel sides is $24$ m. If the ratio of the parallel sides is $5:3$, the length of the longer parallel side is:

If a piece of wire $25$ cm long is bent into an arc of a circle subtending an angle of ${75}^{\mathrm{o}}$ at the centre, then the radius of the circle (in cm) is:

A prism has as the base a right-angled triangle whose sides adjacent to the right angles are $10$ cm and $12$ cm long. The height of the prism is $20$ cm. The density of the material of the prism is $6$ g/cu. cm. The weight of the prism is: