Mensuration (Part-5)

1. The radius of a roller is 49 cm and its length is 200 cm. It takes 700 complete revolutions to move once over to level a playground. Find the area of the playground (Use π = 22/7) [SSC CHSL 01/07/2024 (3rd Shift)]

(a) 4312 x 10⁴ cm²
(b) 4312 x 10² cm²
(c) 4322 x 10⁴ cm²
(d) 4312 x 10³ cm²

Correct Answer: (a) 4312 x 10⁴ cm²

Solution:

2. The curved surface area of a cone is 2200 cm² and its radius is 28 cm, what is the slant height (in cm) of the cone? (Use π = 22/7) [SSC CHSL 01/07/2024 (3rd Shift)]

(a) 22
(b) 23
(c) 24
(d) 25

Correct Answer: (d) 25

Solution:

3. If the side of a cube is 3, which of the following options is equal to the ratio between the surface area and the volume of the cube? [SSC CHSL 01/07/2024 (4th Shift)]

(a) 2:3
(b) 2:1
(c) 2:5
(d) 2:7

Correct Answer: (b) 2:1

Solution:

4. The surface area of a sphere is 2464 cm². Find its volume. [SSC CHSL 01/07/2024 (4th Shift)]

Correct Answer: (b)

Solution:

5. Which of the following are the sides of a right - angled triangle? [SSC CHSL 01/07/2024 (4th Shift)]

(a) 16 cm, 31 cm, 34 cm
(b) 12 cm, 16 cm, 20 cm
(c) 6 cm, 7 cm, 10 cm
(d) 5 cm, 11 cm, 13 cm

Correct Answer: (b) 12 cm, 16 cm, 20 cm

Solution:

6. Find the diameter of a spherical ball whose volume is 38.808 cm³. (Use π = 22/7) [SSC CHSL 01/07/2024 (4th Shift)]

(a) 4.8 cm
(b) 4.4 cm
(c) 4.6 cm
(d) 4.2 cm

Correct Answer: (d) 4.2 cm

Solution:

7. The perimeter of a minor sector of a circle of radius 4 units subtending an angle of 45° is: [SSC CHSL 02/07/2024 (1st Shift)]

(a) 4 - π units
(b) 8 + π units
(c) 8 - π units
(d) 4 + π units

Correct Answer: (b) 8 + π units

Solution:

8. If the diameter of a hemisphere is 21 cm, then the curved surface area (in 22 cm²) of the hemisphere is : Take π = 22/7 [SSC CHSL 02/07/2024 (1st Shift)]

(a) 639
(b) 939
(c) 693
(d) 963

Correct Answer: (c) 693

Solution:

9. The capacity of a cylinder tank is 8316 cm³. If the radius of its base is 21 cm, then find the depth of the tank. [SSC CHSL 02/07/2024 (1st Shift)]

(a) 6 cm
(b) 8 cm
(c) 4 cm
(d) 10 cm

Correct Answer: (a) 6 cm

Solution:

10. The volume of a cube is reduced to 72.9%. By how much is the side of the cube reduced ? [SSC CHSL 02/07/2024 (2nd Shift)]

(a) 9.5%
(b) 10%
(c) 9%
(d) 8.5%

Correct Answer: (b) 10%

Solution:

Mensuration (Part-5)

1. The radius of a roller is 49 cm and its length is 200 cm. It takes 700 complete revolutions to move once over to level a playground. Find the area of the playground (Use π = 22/7) [SSC CHSL 01/07/2024 (3rd Shift)]

2. The curved surface area of a cone is 2200 cm² and its radius is 28 cm, what is the slant height (in cm) of the cone? (Use π = 22/7) [SSC CHSL 01/07/2024 (3rd Shift)]

3. If the side of a cube is 3, which of the following options is equal to the ratio between the surface area and the volume of the cube? [SSC CHSL 01/07/2024 (4th Shift)]

4. The surface area of a sphere is 2464 cm². Find its volume. [SSC CHSL 01/07/2024 (4th Shift)]

5. Which of the following are the sides of a right - angled triangle? [SSC CHSL 01/07/2024 (4th Shift)]

6. Find the diameter of a spherical ball whose volume is 38.808 cm³. (Use π = 22/7) [SSC CHSL 01/07/2024 (4th Shift)]

7. The perimeter of a minor sector of a circle of radius 4 units subtending an angle of 45° is: [SSC CHSL 02/07/2024 (1st Shift)]

8. If the diameter of a hemisphere is 21 cm, then the curved surface area (in 22 cm²) of the hemisphere is : Take π = 22/7 [SSC CHSL 02/07/2024 (1st Shift)]

9. The capacity of a cylinder tank is 8316 cm³. If the radius of its base is 21 cm, then find the depth of the tank. [SSC CHSL 02/07/2024 (1st Shift)]

10. The volume of a cube is reduced to 72.9%. By how much is the side of the cube reduced ? [SSC CHSL 02/07/2024 (2nd Shift)]

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