Mensuration (Part-2)

Total Questions: 50

1. A bicycle wheel has a radius of 42 cm. It makes 40 revolutions in 25 seconds. What is its speed (in kmph, up to one decimal place)? [SSC CHSL 16/04/2021 (Morning)]

Correct Answer: (c) 15.2
Solution:

2. A wire is bent to form a square of area 169 cm². If the same wire is bent to form a circle, then what is its area in cm² (to the nearest whole number) [SSC CHSL 13/04/2021 (Afternoon)]

Correct Answer: (a) 215
Solution:

3. A sector of radius 10.5 cm with the central angle 120º is folded to from a cone by joining the two bounding radii of the sector. What is the volume (in cm³) of the cone so formed? [SSC CGL Tier II (13/09/2019)]

Correct Answer: (d)
Solution:

4. The base of a right prism is a triangle with sides 20cm, 21 cm and 29 cm. If its volume is 7560cm², then its lateral surface area (in cm²) is: [SSC CGL Tier II (12/09/2019)]

Correct Answer: (c) 2520
Solution:

5. If the radius of a sphere is increased by 4 cm, its surface area is increased by 464πcm². What is the volume (in cm³) of the original sphare ? [SSC CGL Tier II (11/09/2019)]

Correct Answer: (a)
Solution:

6. The base of right prism is a trapezium whose parallel sides are 11 cm and 15cm and the distance between them is 9 cm. If the volume of the prism is 1731.6 cm³, then the height (in cm) of the prism will be : [SSC CGL Tier II (11/09/2019)]

Correct Answer: (c) 14.8
Solution:

Volume of prism = base area × height
1731.6 = 1/2 × (15 + 11) × 9 × height
⇒ height = 14.8

7. A ribbon of equal width and length I is wrapped around the curved surface of a right circular cylinder to cover it completely. If the base circumference of this cylinder is c, then how many times the ribbon was wrapped around the cylinder? [SSC MTS 05/08/2019 (Evening)]

Correct Answer: (b) l/c
Solution:

8. Solve it- [SSC CHSL 11/07/2019 (Afternoon)]

Correct Answer: (c) 7
Solution:

9. The two diagonals of a rhombus are respectively, 14 cm and 48 cm. The perimeter of the rhombus is equal to: [SSC CHSL 11/07/2019 (Morning)]

Correct Answer: (d) 100cm
Solution:

10. The area of a sector of a circle with central angle 60º is A. The circumference of the circle is C. Then A is equal to: [SSC CHSL 10/07/2019 (Evening)]

Correct Answer: (c)
Solution: