Mensuration (Part-4)

Total Questions: 50

11. The circumference of the base of a conical tent of height 8 m is 32 πm. Find its curved surface area. [SSC CGL 12/09/2024 (3rd Shift)]

Correct Answer: (d) 128√5 πm²
Solution:

12. A circular arc whose radius is 12 cm makes an angle of 30° at the centre. Find the perimeter (in cm) of the sector formed. (Use π = 3.14) [SSC CGL 12/09/2024 (3rd Shift)]

Correct Answer: (b) 30.28
Solution:

13. One-quarter of a circular pizza of radius 21 cm was removed from the whole pizza. What is the perimeter (in cm) of the remaining pizza? (Use π = 22/7) [SSC CGL 13/09/2024 (1st Shift)]

Correct Answer: (b) 141
Solution:

14. What is the height (in m) of a conical water tank having radius of 70 m and volume of 46,200 m³? (Take π = 22/7) [SSC CGL 13/09/2024 (1st Shift)]

Correct Answer: (b) 9
Solution:

15. A and B are centres of two circles with radii 2 cm and 1 cm respectively, where AB = 5 cm. C is the centre of another circle of radius r cm, which touches each of the above two circles externally. If ∠ACB = 90° then the value of r is: [SSC CGL 13/09/2024 (1st Shift)]

Correct Answer: (b) 2 cm
Solution:

16. From a circle of radius 7 units, an arc length is cut by a chord of length 7 units. What is the arc length of the smaller portion (in units)? [SSC CGL 13/09/2024 (1st Shift)]

Correct Answer: (c)
Solution:

17. A chord of the larger among two concentric circles is of length 20 cm and it is tangent to the smaller circle. What is the area (in cm²) of the annular portion between the two circles? [SSC CGL 13/09/2024 (2nd Shift)]

Correct Answer: (a) 100π

18. What is the volume in cubic units of a cylinder with a height equal to the diameter and a radius is 4 units ? [SSC CGL 13/09/2024 (2nd Shift)]

Correct Answer: (d)
Solution:

19. The angle turned by minutes hand in 25 minutes in a clock is: [SSC CGL 13/09/2024 (3rd Shift)]

Correct Answer: (d)
Solution:

20. Find the measure of the central angle of a sector if its area is 16π and the radius is 8. [SSC CGL 17/09/2024 (1st Shift)]

Correct Answer: (d) 90°
Solution: