Advanced Quantitative Aptitude For SSC CHSL and SSC CGL Exams

1. A vessel is 5 cm long and its base is triangular having sides 2 cm, 3 cm and 4 cm, then the curved surface area of vessel is

(a) 40 cm^2

(b) 45 cm^2

(c) 46 cm^2

(d) 48 cm^2

2. A solid right circular cylinder of radius 8 cm and height 2 cm is reformed into a right circular cone of height 3 times that of cylinder. The slant height of cone is

(a) 6 cm

(b) 8 cm 

(c) 10 cm

(d) 12 cm

3. A sphere of diameter 6 cm is dropped in a right circular cylindrical vessel partly filled with water. The radius of cylinder is 9 cm. If the sphere is completely submerged in water, then the level of water rises by 

(a) 0.44 cm

(b) 0.64 cm

(c) 1 cm

(d) None of these

4. A tent is cylindrical upto a height 3 m and conical above. If the diameter of the base is 105 m and the slant height of the conical part is 53 m, then total canvas used in making the tent is 

(a) 9007 m^2

(b) 9875 m^2

(c) 9573 m^2

(d) 9735 m^2

5. The area described by the second hand of 14 cm of a clock between 9 : 35 am and 10 : 15 am is 

(a) 147 cm^2

(b) 150 cm^2

(c) 154 cm^2

(d) 11.40 cm^2

6. The area of figure adjoining by an equilateral triangle of 14 cm side each and semi-circles inscribed on its a sides as diameter is

(a) 700.9 cm^2

(b) 722.8 cm^2

(c) 622.8 cm^2

(d) 546.77 cm^2

7. The area of a circle inscribed in an equilateral triangle is 36π sq units. The length of altitude of triangle is 

(a) 12 units

(b) 14 units

(c) 16 units

(d) 18 units

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