Arihant Expert Team Solutions for Exercise 1: MULTIPLE CHOICE QUESTIONS AND ANSWERS

The radius of the wheel of a bicycle is '$x$' $cm$. The bicycle makes $560$ revolutions in order to cover a distance of $1.1$ $kms$. Find $x$.

Two cylinders have their heights in the ratio $1:2$. If their volumes are equal, find the ratio of their radii.

The diagonal of a rectangle is $10 cm$ and is twice the length of one of the sides. Find the area of the rectangle in $c{m}^2$.

The radius of the circle is reduced by $50\%$. Find the percentage of the circumference by which it is reduced.

The curved surface area of a cylinder is $1056 c{m}^2$ and its height is $16 cm$. Find its volume in $c{m}^3 \left(\pi =\frac{22}{7}\right)$.

A rectangular sheet of paper is $3 cm\times 2 cm$. If the greatest possible circle is cut out from it. Find the area of the remaining sheet $\left(\pi =\frac{22}{7}\right)$.

If the volume of the sphere is $179 \frac{2}{3}{m}^3$. Find the surface area of the sphere.

The diagonal of a cubical box is $\sqrt{300} cm$. Find the surface area of the box in $c{m}^2$.