Q1. If the side of a cube is increased by 50%, find by what percentage the surface area of the cube is increased?
(a) 150%
(b) 200%
(c) 125%
(d) 350%
Q2. A banquet hall has the dimensions 30 m × 12 m × 5 m. Each person should get 8m³ of space. Find the number of persons who can be accommodated in this hall.
(a) 240
(b) 250
(c) 225
(d) 300
Q5. A spherical metal ball of 6 cm radius is melted and recast into three spherical balls. The radii of two of these balls are 3 cm and 4 cm. What is the radius of the third ball?
(a) 4.5 cm
(b) 5 cm
(c) 6 cm
(d) 7 cm
Q6. If the diagonals of a rhombus are 10 cm and 24 cm respectively, then find its perimeter.
(a) 15 cm
(b) 60 cm
(c) 52 cm
(d) 68 cm
Q8. A cylinder circumscribes a sphere. The ratio of their volume is
(a) 2: 1
(b) 3: 2
(c) 4: 3
(d) 6: 5
Q12. A spherical ball was painted black. After getting painted, it was cut into 4 similar pieces. What is the ratio of the painted area to the non-painted area?
(a) 1: 1
(b) 1: 2
(c) 3: 1
(d) 3: 2
Q13. The volume of a sphere, a cube, a tetrahedron and an octahedron is same. Find for which of the following structures, it will have the maximum surface area?
(a) Sphere
(b) Cube
(c) Tetrahedron
(d) Octahedron
Q14. The ratio of diagonals of the two cubes is 3: 2. What is the ratio of the surface areas of these two cubes respectively?
(a) 27: 8
(b) 3: 2
(c) 9: 4
(d) 16: 9
