Advanced Quant Quiz For SSC Mains and FCI 2015

1.If  S1 and S2 be the surface area of a sphere and the curved surface area of the circumscribed cylinder respectively, then S1 is equal to

(a) 2/3 S^2

(b) 1/3 S^2

(c) 1/2 S^2

(b) S^2

2. The height and the radius of the base of a right circular cone are 12 cm and 6 cm respectively. The radius of the circular cross-section of the cone cut by a plane parallel to its base at a distance of 3 cm from the base is

(a) 3.5 cm.

(b) 4.5 cm.

(c) 4 cm.

(b) 5 cm.

3. The ration between the side (s) of a metallic cube and radius (r) of a sphere which can be cast from each other is expressed as 

(a) r^2=S^2 √4π

(b) r/S^2  = √(28π/3)

(c) rs=3√(3/4π)

(b) r=s∛(3/4π)

4. If three metallic spheres of radii 6 cm, 8 cm and 10 cm. are melted to form a single sphere, the diameter of the new sphere will be

(a) 24 cm.

(b) 16 cm.

(c) 36 cm.

(b) 20 cm.

5.If a metallic cuboid weights 16 kg, how much would a miniature cuboid of metal weight, if all dimensions are reduced to 1⁄4 of the original ?

(a) 0.50 kg.

(b) 0.75 kg.

(c) 1 kg

(b) 0.25 kg.

6.The base of a conical tent that is 19.2 m. in diameter and the height of its vertex is 2.8 m. The area of the canvas required to put up such a text

(a) 30.17

(b) 301.7

(c) 3017

(b) None.

7. What part of a ditch, 48 m long, 16.5 m. broad and 4 m deep can be filled by the earth got by digging a cylindrical tunnel of diameter 4 m and length 56 m.

(a) 2/9

(b) 1/9

(c) 1/3

(b) 4/9

8. A right circular cylinder of height 16 cm. is covered by a rectangular tin foil of size 16 cm×22 cm. The volume of the cylinder is

(a) 308 cm^3

(b) 424 cm^3

(c) 616 cm^3

(b) 412 cm^3

9. A right circular cylinder is formed by rolling a rectangular paper 12 cm long and 3 cm wide along its length. The radius of the base of the cylinder will be

(a) 6/2π cm

(b) 3/2π cm

(c) 9/2π cm

(b) 4 π cm

10. A rectangular tank of length 10 m, breadth 5 m. and depth 6 m. is full of water. How much water must be taken out of the tank to reduce the level of water in the tank by one metre?

(a) 50 m^3

(b) 60 m^3

(c) 80 m^3

(b) 100 m^3

Answers Key:
1. c
2. b
3. d
4. a
5. d
6. b
7. a
8. c
9. a
10. a