Mensuration (Part-9)

11. The perimeter of an isosceles triangle is 100 cm. If the base is 36 cm, then find its semi perimeter (in centimetres). [SSC CGL 21/07/2023 (2nd shift)]

(a) 64
(b) 60
(c) 45
(d) 50

Correct Answer: (d) 50

Solution:

12. The area of the sector of a circle of radius 28 cm is 112 cm². Find the length of the corresponding arc of the sector. [SSC CGL 21/07/2023 (3rd shift)]

(a) 4 cm
(b) 8 cm
(c) 6 cm
(d) 5 cm

Correct Answer: (b) 8 cm

Solution:

13. If the volume of one brick is 0.0014 m³, then how many bricks will be required to construct a wall of length 14 m, breadth 0.125 m and height 5 m? [SSC CGL 21/07/2023 (3rd shift)]

(a) 5250
(b) 3250
(c) 6250
(d) 4250

Correct Answer: (c) 6250

Solution:

14. If the inner radius of a hemispherical bowl is 5 cm and its thickness is 0.25 cm, then find the volume of the material required in making the bowl. (use π = 22/7) (Rounded up to two places of decimals). [SSC CGL 21/07/2023 (4th shift)]

(a) 34 cm³
(b) 44 cm³
(c) 45.34 cm³
(d) 41.28 cm³

Correct Answer: (d) 41.28 cm³

Solution:

15. A one metre pipe is made with inner diameter equal to outer radius. How much material (in cubic units) is required to make the pipe, if it can hold 88/7 cubic meters water in it ? [SSC CGL 24/07/2023 (1st shift)]

(a) 37.7
(b) 35.5
(c) 33.3
(d) 36.6

Correct Answer: (a) 37.7

Solution:

16. The ratio of the length to width of a certain rectangle is 3:2 and the area is 150 cm². The perimeter of the rectangle (in cm) is: [SSC CGL 24/07/2023 (1st shift)]

(a) 20
(b) 30
(c) 50
(d) 40

Correct Answer: (c) 50

Solution:

17. The length of each side of a triangle is 12 cm. What is the length of the circumradius of the triangle? [SSC CGL 24/07/2023 (1st shift)]

(a) 8√3 cm
(b) 2√3 cm
(c) 6√3 cm
(d) 4√3 cm

Correct Answer: (d) 4√3 cm

Solution:

18. A ball is to be made with inner radius of 2 units and outside radius of 3 units. How much material is required to make the ball?

Correct Answer: (c)

Solution:

19. A metallic cube has each of its side of length 12 cm. It is melted and recast into three small cubes. Out of these cubes, two have their sides as 6 cm and 8 cm, respectively. The length of each side of the third cube is: [SSC CGL 25/07/2023 (1st shift)]

(a) 7 cm
(b) 9 cm
(c) 10 cm
(d) 5 cm

Correct Answer: (c) 10 cm

Solution:

20. The field is 150 m long and 80 m wide. How many times (rounded off to 1 decimal place) is its perimeter to the length of its diagonal? [SSC CGL 25/07/2023 (1st shift)]

(a) 2.3
(b) 2.5
(c) 2.7
(d) 3.1

Correct Answer: (c) 2.7

Solution:

Mensuration (Part-9)

11. The perimeter of an isosceles triangle is 100 cm. If the base is 36 cm, then find its semi perimeter (in centimetres). [SSC CGL 21/07/2023 (2nd shift)]

12. The area of the sector of a circle of radius 28 cm is 112 cm². Find the length of the corresponding arc of the sector. [SSC CGL 21/07/2023 (3rd shift)]

13. If the volume of one brick is 0.0014 m³, then how many bricks will be required to construct a wall of length 14 m, breadth 0.125 m and height 5 m? [SSC CGL 21/07/2023 (3rd shift)]

14. If the inner radius of a hemispherical bowl is 5 cm and its thickness is 0.25 cm, then find the volume of the material required in making the bowl. (use π = 22/7) (Rounded up to two places of decimals). [SSC CGL 21/07/2023 (4th shift)]

15. A one metre pipe is made with inner diameter equal to outer radius. How much material (in cubic units) is required to make the pipe, if it can hold 88/7 cubic meters water in it ? [SSC CGL 24/07/2023 (1st shift)]

16. The ratio of the length to width of a certain rectangle is 3:2 and the area is 150 cm². The perimeter of the rectangle (in cm) is: [SSC CGL 24/07/2023 (1st shift)]

17. The length of each side of a triangle is 12 cm. What is the length of the circumradius of the triangle? [SSC CGL 24/07/2023 (1st shift)]

18. A ball is to be made with inner radius of 2 units and outside radius of 3 units. How much material is required to make the ball?

19. A metallic cube has each of its side of length 12 cm. It is melted and recast into three small cubes. Out of these cubes, two have their sides as 6 cm and 8 cm, respectively. The length of each side of the third cube is: [SSC CGL 25/07/2023 (1st shift)]

20. The field is 150 m long and 80 m wide. How many times (rounded off to 1 decimal place) is its perimeter to the length of its diagonal? [SSC CGL 25/07/2023 (1st shift)]

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