Mensuration (Part-5)

11. A hemisphere has a radius of 6.2 cm. Find its total surface area (use π = 3.14) (round off to two decimal places). [SSC CHSL 02/07/2024 (2nd Shift)]

(a) 276.35 cm²
(b) 282.25 cm²
(c) 358.52 cm²
(d) 362.10 cm²

Correct Answer: (d) 362.10 cm²

Solution:

12. If the side of a square is increased by 5%, then the percentage increase in its area will be: [SSC CHSL 02/07/2024 (2nd Shift)]

(a) 11%
(b) 10.25%
(c) 10%
(d) 10.5%

Correct Answer: (b) 10.25%

Solution:

13. If the brick size is 25 cm x 12 cm x 9 cm, then how many bricks are required to construct a wall of length 10 m, breadth 22.5 cm and height 6 m ? [SSC CHSL 02/07/2024 (2nd Shift)]

(a) 4500
(b) 6000
(c) 8000
(d) 5000

Correct Answer: (d) 5000

Solution:

14. An iron box with external dimensions 60 cm, 40 cm, and 20 cm is made of 1 cm thick sheet. If 1 cm³ of iron weighs 50 gm, the weight of the empty box is: [SSC CHSL 02/07/2024 (3rd Shift)]

(a) 416.40 kg
(b) 240 kg
(c) 214.05 kg
(d) 400 kg

Correct Answer: (a) 416.40 kg

Solution:

15. If the diameter of a hemisphere is 42 cm, then the volume of hemisphere (in cm³) is: Take π = 22/7 [SSC CHSL 02/07/2024 (3rd Shift)]

(a) 19154
(b) 19254
(c) 19444
(d) 19404

Correct Answer: (d) 19404

Solution:

16. Find the difference between the curved surface area and total surface area of a right circular cylinder having a length of 68 cm and base diameter of 28 cm. [SSC CHSL 02/07/2024 (3rd Shift)]

(a) 1432 cm²
(b) 1332 cm²
(c) 1132 cm²
(d) 1232 cm²

Correct Answer: (d) 1232 cm²

Solution:

17. The perimeter of a triangle is 36 units. Its area cannot be more than_______square units. [SSC CHSL 02/07/2024 (3rd Shift)]

(a) 12√7
(b) 36√2
(c) 36√3
(d) 18√5

Correct Answer: (c) 36√3

Solution:

18. The outer surface of a sphere having diameter 10 m is painted at the rate of ₹ 80/π per m². What is the cost of painting? [SSC CHSL 02/07/2024 (4th Shift)]

(a) ₹8,000
(b) ₹9,000
(c) ₹4,000
(d) ₹6,000

Correct Answer: (a) ₹8,000

Solution:

19. The triangle has sides 3 cm, 4 cm and 5 cm. What is the length of the perpendicular from the opposite vertex to the side whose length is 5 cm? [SSC CHSL 02/07/2024 (4th Shift)]

(a) 3.5 cm
(b) 2.4 cm
(c) 2.2 cm
(d) 1.4 cm

Correct Answer: (b) 2.4 cm

Solution:

20. The radius and height of a cylinder are in the ratio 6:7 and its volume is 792 cm³. Calculate its curved surface area in cm² [SSC CHSL 02/07/2024 (4th Shift)]

(a) 262
(b) 490
(c) 264
(d) 226

Correct Answer: (c) 264

Solution:

Mensuration (Part-5)

11. A hemisphere has a radius of 6.2 cm. Find its total surface area (use π = 3.14) (round off to two decimal places). [SSC CHSL 02/07/2024 (2nd Shift)]

12. If the side of a square is increased by 5%, then the percentage increase in its area will be: [SSC CHSL 02/07/2024 (2nd Shift)]

13. If the brick size is 25 cm x 12 cm x 9 cm, then how many bricks are required to construct a wall of length 10 m, breadth 22.5 cm and height 6 m ? [SSC CHSL 02/07/2024 (2nd Shift)]

14. An iron box with external dimensions 60 cm, 40 cm, and 20 cm is made of 1 cm thick sheet. If 1 cm³ of iron weighs 50 gm, the weight of the empty box is: [SSC CHSL 02/07/2024 (3rd Shift)]

15. If the diameter of a hemisphere is 42 cm, then the volume of hemisphere (in cm³) is: Take π = 22/7 [SSC CHSL 02/07/2024 (3rd Shift)]

16. Find the difference between the curved surface area and total surface area of a right circular cylinder having a length of 68 cm and base diameter of 28 cm. [SSC CHSL 02/07/2024 (3rd Shift)]

17. The perimeter of a triangle is 36 units. Its area cannot be more than_______square units. [SSC CHSL 02/07/2024 (3rd Shift)]

18. The outer surface of a sphere having diameter 10 m is painted at the rate of ₹ 80/π per m². What is the cost of painting? [SSC CHSL 02/07/2024 (4th Shift)]

19. The triangle has sides 3 cm, 4 cm and 5 cm. What is the length of the perpendicular from the opposite vertex to the side whose length is 5 cm? [SSC CHSL 02/07/2024 (4th Shift)]

20. The radius and height of a cylinder are in the ratio 6:7 and its volume is 792 cm³. Calculate its curved surface area in cm² [SSC CHSL 02/07/2024 (4th Shift)]

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