Mensuration (Part-2)

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)]

(a) 3.5
(b) 11.6
(c) 15.2
(d) 9.5

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)]

(a) 215
(b) 227
(c) 532
(d) 531

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)]

(a) 2484
(b) 2556
(c) 2520
(d) 2448

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)]

(a) 15.6
(b) 15.2
(c) 14.8
(d) 14.2

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)]

(a) l/4c
(b) l/c
(c) l/2c
(d) 2l/c

Correct Answer: (b) l/c

Solution:

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

(a) 2√3
(b) 3√2
(c) 7
(d) 5

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)]

(a) 120cm
(b) 160cm
(c) 80cm
(d) 100cm

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:

Mensuration (Part-2)

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)]

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)]

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)]

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)]

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)]

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)]

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)]

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

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)]

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)]

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