Advanced Quant Quiz For SSC Mains and FCI 2015

Dear Readers,
Today,We are providing a quiz on Advance Math , this quiz is very helpful for upcoming SSC tier – II exam.

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

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