A person moves along a circular path by a distance equal to half the circumference in a given time. The ratio of his average speed to his average velocity is

A square is drawn inside the circle as shown in the figure. If the area of the shaded portion is $\frac{32}{7}$ units, then the radius of the circle is

The following figure shows the displacement time $\left(\mathrm{x} - \mathrm{t}\right)$ graph of a body in motion. The ratio of the speed in first, second and that in next two seconds is 

The carpet area of a room which the dimensions are shown in the above diagram is?

In the figure given above $\angle BAC={90}^o$, $EA=2$ and $AC=6.$ What is the value of $BE$?

$8$ oranges cost as much as $5$ apples, $5$ apples as much as $3$ mangoes, $4$ mangoes as much as $8$ pineapples. If $3$ pineapples cost $₹ 36$, then an orange's cost is

If $a\varnothing b$is defined as  $a^b+b^a$ , then consider

For which of the above, $x$ is smallest?