Maths Questions for SSC CGL Exams

Q1. Surface area of a cube is 600 cm². Find out the length of its diagonal.

(a) 15√3

(b) 12√3

(c) 10√3

(d) 11√3

(e) None of these

Q2. A roller is 120 cm long and has diameter 84 cm. If it takes 500 complete revolutions to level a play ground, then determine to cost of leveling at the rate of 30 paise per m².(Use π=22/7)

(a) Rs. 475.40

(b) Rs. 375.45

(c) Rs. 375.20

(d) Rs. 475.20

(e) None of these

Q3. The capacity of a tank, in the form of a cylinder, is 6160 m³. If the diameter of its base is 28 m, find out the cost of painting its inner curved surface at the rate of Rs. 2.8 per m².(Use π=22/7)

(a) 2464

(b) 2664

(c) 3064

(d) 2864

(e) None of these

Q4. The ratio of total surface area to lateral surface area of a cylinder whose radius is 80 cm and height 20 cm, is:

(a) 2 : 1

(b) 3 : 1

(c) 4 : 1

(d) 5 : 1

(e) None of these

Q5. The diameter and slant height of a conical tomb are 20 m and 50 m, respectively. The cost of white washing its curved surface at the rate of 80 paise per m^2 is:

(a) Rs. 2640

(b) Rs. 1760

(c) Rs. 26400

(d) Rs. 17600

(e) None of these

Q6. The curved surface of a cylindrical pillar is 264 m² and its volume is 924 m². Taking π=22/7, find out the ratio of its diameter to its height:

(a) 7 : 6

(b) 6 : 7

(c) 3  : 7

(d) 7 : 3

(e) None of these

 

Q7. If the surface area of a sphere is 346.5 cm²  , then its radius is [taking π=22/7]

(a) 7 cm

(b) 3.25 cm

(c) 5.25 cm

(d) 9 cm

(e) None of these

Q8. The base of a right prism is an equilateral triangle. If the lateral surface area and volume is 120 cm² and 40√3  cm³, respectively, then the side of base of the prism is:

(a) 4 cm

(b) 5 cm

(c) 7 cm

(d) 40 cm

(e) None of these

Q9. If a right circular cone of height 24 cm has a volume of 1232 cm³, then the area (in cm²) of curved surface is:

(a) 550

(b) 704

(c) 924

(d) 1254

(e) None of these

Q10. A semicircular sheet of metal of diameter 28 cm is bent into an open conical cup. The capacity of the cup (taking π=22/7) is:

(a) 624.26 cm³

(b) 622.36 cm³

(c) 625.56 cm³

(d) 623.20 cm³

(e) None of these

Q11. A tent is of the shape of a right circular cylinder upto a height of 3 m and then becomes a right circular cone with maximum height of 13.5 m above the ground. If the radius of the base is 14 m, the cost of painting the inner side of the tent at the rate of Rs. 2 per m^2 is:

(a) Rs. 2,050

(b) Rs. 2,060

(c) Rs. 2,068

(d) Rs. 2,080

(e) None of these

Q12. The height of a circular cylinder is increased 6 times and the base are is decreased to 1/9 of its value. The factor by which the lateral surface of the cylinder increases is:

(a) 2

(b) 1/2

(c) 2/3

(d) 3/2

(e) None of these

Q13. The volume of a right circular cone is 8800 cm³ and its vertical height is 21 cm. Its curved surface are is:

(a) 154 cm²

(b) 638 cm²

(c) 604 cm²

(d) 704 cm²

(e) None of these

Q14. If the radius of a sphere is increased by 2 m, its surface area is increased by 704 m². What is the radius of the original sphere? (use π=22/7)

(a) 16 m

(b) 15 m

(c) 14 m

(d) 13 m

(e) None of these

Q15. A rectangular plot, 36 m long and 28 m broad, has two concrete roads 5 m wide running in the middle of the park, one parallel to the length and the other parallel to the breadth. What would be the total cost of gravelling the plot, excluding the area covered by the roads, at Rs. 3.60 per m²?

(a) Rs. 2772.20

(b) Rs. 2466.60

(c) Rs. 2654.40

(d) Rs. 2332.60

(e) Rs. 2566.80