• Q1:

The outer and inner radii of a metallic spherical shell are 2 cm and 1 cm respectively. If it is melted to make a solid sphere, then the radius of the sphere will be

1. (A)$7\frac{1}{2}$ cm
2. (B)$9\frac{1}{3}$ cm
3. (C)$7\frac{1}{3}$ cm
4. (D)$3$ cm

• Q2:

A cone of base diameter 20 cm and height 5 cm is melted to form a sphere of radius 5 cm. The volume of the material that remains is

1. (A)$2 \text{ cm}^3$
2. (B)$5 \text{ cm}^3$
3. (C)$\pi \text{ cm}^3$
4. (D)zero

• Q3:

A rectangle of sides 10cm and 8 cm is folded to form a cylinder in two different ways. The volume of the bigger cylinder thus formed is

1. (A)$\frac{160}{\pi} \text{cu cm }$
2. (B)$\frac{175}{\pi} \text{cu cm }$
3. (C)$\frac{200}{\pi} \text{cu cm }$
4. (D)$\frac{150}{\pi} \text{cu cm }$

• Q4:

If the length of a side of rhombus 13 cm and one of its diagnonals is of length 24 cm, then the area of rhombus is

1. (A)240 $\text{cm}^2$
2. (B)156 $\text{cm}^2$
3. (C)130 $\text{cm}^2$
4. (D)120 $\text{cm}^2$
The volume of a right circular cylinder is $1100 \text{ cm}^3$ and the radius of its base is 5cm. The area of its curved surface is
1. (A)$440 \text{ cm}^2$
2. (B)$(440 + 25 \pi) \text{ cm}^2$
3. (C)$(440 + 50\pi) \text{ cm}^2$
4. (D)$450 \text{ cm}^2$