Mensuration

Total Questions: 50

41. If the length of a certain rectangle is decreased by 4 cm and breadth is increased by 2 cm, it would result in a square of the same area. What is the perimeter of the original rectangle? [SSC CGL 06/12/2022 (1st Shift)]

Correct Answer: (c) 20 cm
Solution:

42. Two identical circles each of radius 30 cm intersect each other such that the circumference of each one passes through the center of the other. What is the area of the intersecting region? [SSC CGL 03/12/2022 (4th Shift)]

Correct Answer: (d) 600π - 450√3 cm²
Solution:

43. If the sum of the diagonals of a rhombus is L and the perimeter is 4P, find the area of the rhombus? [SSC CPO 11/11/2022 (Morning)]

Correct Answer: (b)
Solution:

44. Water is flowing through a cylindrical canal with an internal diameter of 7 m at the speed of 18 km/h. Find the volume of water flowing through the canal in 30 minutes. (take π = 22/7) [SSC CPO 09/11/2022 (Afternoon)]

Correct Answer: (d) 3,46,500 m³
Solution:

45. ABCDEF is a regular hexagon. Side of the hexagon is 36 cm. What is the area of the triangle ABC ? [SSC CGL Tier II (08/08/2022)]

Correct Answer: (a) 324√3 cm²
Solution:

46. The frustum of a right circular cone has the radius of the base as 5 cm, radius of the top as 3 cm, and height as 6 cm. What is its volume? [SSC CHSL 27/05/2022 (Afternoon)]

Correct Answer: (a) 98π cm³
Solution:

47. Simplify [SSC CGL Tier II (03/02/2022) ]

Correct Answer: (d) 3/2 ab
Solution:

48. A square park has been divided into two rectangles of equal area. If the perimeter of each of these rectangles is 39 m, then what will be the perimeter of the square park ? [SSC CHSL 09/08/2021 (Afternoon)]

Correct Answer: (d) 52 m
Solution:

49. The circumference of a circle is 'aπ' units and the area of the circle is 'bπ' square units. If a:b is equal to 4:5, then the radius of the circle is: [SSC CHSL 06/08/2021 (Evening)]

Correct Answer: (b) 2.5 cm
Solution:

50. The area of a triangular field whose sides are 65m, 72m and 97m is equal to the area of a rectangular park whose sides are in the ratio of 5:13. What is the perimeter (in m) of the rectangular park? [SSC CHSL 19/04/2021 (Morning)]

Correct Answer: (c) 216
Solution: