Advanced Quantitative Aptitude For SSC CHSL and SSC CGL Exams

1. A circular grassy plot of land, 42 m in diameter, has a path 3.5 m wide around it on the outside, the cost of gravelling the path at Rs. 6 per sqm is 

(a) Rs. 3003

(b) Rs. 4004

(c) Rs. 5005

(d) Rs. 6006

2. The curved surface area of a cone whose height equal to 4/3 times of radius and radius equal to 6 cm, is

(a) 188.5 cm^2

(b) 180.6 cm^2

(c) 184.8 cm^2

(d) None of these

3. The volume of a solid hemisphere is numerically equal to its total surface area. Its radius is 

(a) 4(1/2) units

(b) 9 units 

(c) 3 units 

(d) 1(1/2) units

4. A vessel is in the form of right circular cylinder mounted on a hemisphere. If the radius of hemisphere is 7 cm and the total height of vessel is 13 cm. The surface area of vessel is

(a) 762 cm^2

(b) 768 cm^2

(c) 726 cm^2

(d) 780 cm^2

5. A well is dug 20 m and it has a diameter of 7m. The Earth taken out is spread on a rectangular plot 22m × 14 m dimensions. Height of the platform formed is 

(a) 2.1 m

(b) 2.5 m

(c) 2.9 m

(d) 3.5 m

6. Two right circular cones are melted to form a sphere dimensions of cones are h = 4.1 cm, r =2.1 cm and h = 4.3 cm, r = 2.1 cm. The surface area of sphere is 

(a) 56.77 cm^2

(b) 57.44 cm^2

(c) 55.44 cm^2

(d) None of these

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