Mensuration (Part-15)

Total Questions: 24

11. The lengths of three sides of a triangle are in the ratio 3:4:5. Among three sides, the difference between the largest side and the smallest side of this triangle is 3.6 cm. The area of this triangle is: [SSC CHSL 16/04/2021 (Evening)]

Correct Answer: (a) 19.44
Solution:

12. One quarter of a circular pizza of diameter 28 cm was removed from the whole pizza. What is the perimeter (in cm) of the remaining pizza? (π = 22/7) [SSC CHSL 04/08/2021 (Morning)]

Correct Answer: (b) 94
Solution:

13. From a rectangle sheet of dimensions 32cm x 18 cm, a square of side 3 cm is cut from the four corners of the sheet and a box is made. The volume of the box is: [SSC CHSL 05/08/2021 (Afternoon)]

Correct Answer: (b) 936
Solution:

14. How many spherical bullets, each bullet being 7 cm in diameter, can be made out of a cube of lead whose edge 22 measures 77 cm? (π = 22/7) [SSC CHSL 05/08/2021 (Evening)]

Correct Answer: (d) 2541
Solution:

15. The base of a triangle is equal to the perimeter of a square whose diagonal is 7√2cm and its height is equal to the side of a square whose area is 169 cm². The area (in cm²) of the triangle is: [SSC CHSL 06/08/2021 (Afternoon)]

Correct Answer: (a) 182
Solution:

16. The perimeter of a rectangle is 86 cm. The measures of its area and breadth are in the ratio of 9:1, respectively. The breadth of the rectangle is: [SSC CHSL 11/08/2021 (Evening)]

Correct Answer: (b) 34 cm
Solution:

17. The square of the diagonal of a cube is 2175 cm². What is the total surface area (in cm²) of the cube? [SSC CHSL 12/08/2021 (Afternoon)]

Correct Answer: (d) 4350
Solution:

18. The sides of a triangle are 24cm, 26cm and 10cm. At each of its vertices, circles of radius 4.2 cm are drawn. What is the area (in cm²) of the triangle, excluding the portion covered by the sectors of the circle ? [SSC CPO 23/11/2020 (Morning)]

Correct Answer: (d) 92.28
Solution:

19. A 9 cm solid metallic cube and a solid metallic cuboid having dimensions 5 cm, 13cm, 31cm are melted and recast into a single cube. What is the total surface area(in cm²) of the new cube? [SSC CPO 23/11/2020 (Evening)]

Correct Answer: (d) 1176
Solution:

20. A rectangular lawn whose length is twice of its breadth is extended by having four semi-circular portions on its sides. What is the total cost (in Rs.) of levelling the entire lawn at the rate of Rs.100 per square metre if the smaller side of the rectangular lawn is 12 m: [SSC CPO 23/11/2020 (Evening)]

Correct Answer: (a) 85,320
Solution: