Mensuration (Part-9)

Total Questions: 50

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)]

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)]

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)]

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)]

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)]

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)]

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)]

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)]

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)]

Correct Answer: (c) 2.7
Solution: