The perimeter of a trapezium is 104 cm, the lengths of its non-parallel sides are 18 cm and 22 cm and its altitude is 16 cm. The area (in cm) of the trapezium is

• 1024

• 640

• 512

• 320

If each edge of a solid cube is increased by 150%, the percentage increase in the surface area is

• 525

• 225

• 625

• 150

The internal base of a rectangular box is 15 cm long and 12$\frac{1}{2}$ cm wide and its 2 height is 7 cm. The box is filled with 2 cubes each of side 2$\frac{1}{2}$ cm. The number of 2 cubes will be

• 90

• 120

• 45

• 60

The perimeter of a trapezium is 58 cm and sum of its non-parallel sides is 20 cm. If its area is 152 cm, then the distance between the parallel sides (in cm) is

• 9.8

• 15.2

• 6

• 8

$\mathrm{The} \mathrm{value} \mathrm{of} \sqrt[3]{- 2300} \times \sqrt[3]{5290} \mathrm{is}$

• - 270

• 230

• - 230

• - 529

It is proposed to build a single circular park equal in area to the sum of areas of two circular parks of diameters 16 m and 12 m. The radius of the new park would be

• 10m

• 15m

• 20m

• 24m

27.

An edge of a cube measures r cm. If the largest possible right circular cone is cut out of this cube, then the volume of the cone ( in cm³) is

• $\frac{1}{6}{\mathrm{\pi r}}^3$

• $\frac{1}{12}{\mathrm{\pi r}}^3$

• $\frac{1}{3}{\mathrm{\pi r}}^3$

• $\frac{2}{3}{\mathrm{\pi r}}^3$

Two adjacent sides ofa parallelogram are 74 cm and 40 cm. If one of its diagonals is 102 cm, then area of the parallelogram is

• 618 sq.cm

• 1224 sq.cm

• 2448 sq.cm

• 1242 sq.cm

solid cylinder has total surface area of 462 sq. cm. If its curved surface area is one-third of its total surface area, then the volume of the cylinder will be

• 639 cm³

• 539 cm³

• 439 cm³

• 600 cm³

A rectangular piece of paper 11 cm x 4 cm is folded without overlapping to make a cylinder of height 4 cm, then the volume of the cylinder will be

• 37.5 cm³

• 38.5 cm³

• 35.8 cm³

• 28.5 cm³