R. Gupta Solutions for Exercise 1: MULTIPLE CHOICE QUESTIONS

Each side of a given square is $5$ cm and assuming the two opposite sides of this squares as diameters, two semicircles are drawn in the inside of the square. If these semicircles are cut out from the square, then the area of the remaining portion of the given square will be:

Two adjacent sides of a parallelogram are $40$ m and $30$ m respectively. If one diagonal of the parallelogram measures $50$ m, find its area.

Four sides of a trapezium are $50$ cm, $17$ cm, $25$ cm and $12$ cm respectively. If the first of the four sides is parallel to the third, find the area of this trapezium.

A chord AB of a circle of radius $10$ cm makes a right angle at the centre of the circle. The areas of the major and minor segments are:

The parallel sides of a field which is in the shape of trapezium are $20$ m and $41$m and the remaining two sides are $10$ m and $17$m. Find the cost of levelling the field at the rate of Rs. $30$ per $m^2$.

What will be the cost of building a fence around a circular field with area equal to $18,634 m^2$; if the cost of building the fence per metre is Rs. $365$?

If a solid sphere of $3$ cm radius is melted and recast into a right circular cone whose base radius is same as that of the sphere, the height of the cone will be:

Diameter of a roller is $2.4$ m and it is $1.68$ m long. If it takes $1000$ complete revolutions once over to level a field, the area of the field is