A horse is tethered to a stake by a rope of 30 m long. If the horse moves along the circumference of a circle keeping rope tight, find that how far the horse have gone from initial point if the rope has traced an angle of 105° at the centre ?

• 55 m

• 5.5 m

• 155 m

• 25 m

Two sheets of paper with measure 22 cm by 28 cm are taken. Each sheet is then rolled into a cylinder, one having the height 22 cm and the other of height 28 cm. The difference in their volumes (in cm³) will be

• 216

• 294

• 316

• 0

If the radius of the circle is increased 3 times, then how many times the new circumference increase from its original size ?

• 3

• $\frac{1}{3}$

• 9

• None of these

How many bricks will be required to construct a wall 3 m long, 1.5 m high and 0.4 m thick, if each brick measures 30 cm x 15 cm x 8 cm ?

• 502

• 550

• 500

• 501

$$\begin{gathered} \mathrm{Edges} \mathrm{of} \mathrm{a} \mathrm{cuboid} \mathrm{are} \mathrm{a}, \mathrm{b} \mathrm{and} \mathrm{c}, \mathrm{its} \mathrm{volume} \mathrm{is} \mathrm{V} \mathrm{cubic} \mathrm{units} \mathrm{and} \mathrm{its} \mathrm{total} \mathrm{surface} \\ \mathrm{is} \mathrm{S} \mathrm{sq} \mathrm{units}. \mathrm{Then}, \frac{1}{\mathrm{V}} = ? \end{gathered}$$

• $\frac{1}{2}\mathrm{S}\left(\mathrm{a} + \mathrm{b}\hspace{0.17em}+ \mathrm{c}\right)$

• $\frac{2}{\mathrm{S}}\left(\frac{1}{\mathrm{a}} + \frac{1}{\mathrm{b}} + \frac{{\displaystyle 1}}{\mathrm{c}}\right)$

• $\frac{2\mathrm{S}}{\mathrm{a} + \mathrm{b} +\hspace{0.17em}\mathrm{c}}$

• $2\mathrm{S}\left(\mathrm{a} + \mathrm{b} + \mathrm{c}\right)$