$$\begin{gathered} \mathrm{The} \mathrm{diagonals} \mathrm{AC} \mathrm{and} \mathrm{BD} \mathrm{of} \mathrm{a} \mathrm{parallelogram} \mathrm{ABCD} \mathrm{interest} \mathrm{each} \mathrm{other} \mathrm{at} \mathrm{the} \mathrm{point} \mathrm{O}. \\ \mathrm{If} \angle \mathrm{DAC} =32°, \angle \mathrm{AOB} = 70°, \mathrm{then} \angle \mathrm{DBC} \mathrm{is} \mathrm{equal} \mathrm{to} \end{gathered}$$

• $24°$

• 86⁰

• 38⁰

• 32⁰

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

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

• $\frac{1}{6}{\mathrm{\pi r}}^3$

• $\frac{1}{12}{\mathrm{\pi r}}^3$

• $\frac{1}{3}{\mathrm{\pi r}}^3$

• $\frac{2}{3}{\mathrm{\pi r}}^3$

4.

If 13⁵⁰ is divided by 14, the remainder is

• 13

• 12

• 1

•  - 1

$\mathrm{Factors} \mathrm{of} {\mathrm{x}}^2 +\hspace{0.17em}3\sqrt{2}\mathrm{x} + 4 \mathrm{are}$

• $\left(\mathrm{x} + 2\sqrt{2}\right)\left(\mathrm{x} - \sqrt{2}\right)$

• $\left(\mathrm{x} + 2\sqrt{2}\right)\left(\mathrm{x} + \sqrt{2}\right)$

• $\left(\mathrm{x} - 2\sqrt{2}\right)\left(\mathrm{x} - \sqrt{2}\right)$

• $\left(\mathrm{x} - 2\sqrt{2}\right)\left(\mathrm{x} + \sqrt{2}\right)$

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

The distance of the point ( - 7, - 2) from Y-axis is

• 9 unit

• $\sqrt{51} \mathrm{unit}$

• 7 unit

• 2 unit

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

As per national curriculum framework 2005, the sequence of Mathematics

• Before language

• After language

• After science

• After social science