Mensuration (Part-2)

41. The area (in cm²) of a right angled triangle having base 24 cm and hypotenuse 25 cm is: [SSC CPO 15/03/2019 (Evening)]

(a) 72
(b) 108
(c) 92
(d) 84

Correct Answer: (d) 84

Solution:

42. The length of the longest pole that can be placed in a room 16 m long, 8 m wide and 11 m high is: [SSC CPO 15/03/2019 (Evening)]

(a) 21 m
(b) 20 m
(c) 18 m
(d) 19 m

Correct Answer: (a) 21 m

Solution:

43. If the height of an equilateral triangle is 10√3 cm, the area (in cm²) is: [SSC CPO 15/03/2019 (Morning)]

(a) 124√3
(b) 75√3
(c) 80√3
(d) 100√3

Correct Answer: (d) 100√3

Solution:

44. The dimensions of a swimming pool are 66m x 35m x 3m. How many hours will it take to fill the pool by a pipe of diameter 35 cm with water flowing at speed 8 m/s? [SSC CPO 15/03/2019 (Morning)]

(a) 2.75 h
(b) 3.5 h
(c) 2.5 h
(d) 3.2 h

Correct Answer: (c) 2.5 h

Solution:

45. Which of the following has the maximum number of vertices? [SSC CPO 14/03/2019 (Evening)]

(a) Cuboid
(b) Triangular Prism
(c) Hexagonal pyramid
(d) Tetrahedron

Correct Answer: (a) Cuboid

Solution:

In the given solid figures. Cuboid has the maximum no. of vertax i,e 8.

46. A diagonal of a quadrilateral is 40 cm. The length of the perpendicular to the opposite ends is 7.5 cm and 8.6 cm. What is the area (in cm²) of quadrilateral? [SSC CPO 14/03/2019 (Evening)]

(a) 434
(b) 322
(c) 368
(d) 28

Correct Answer: (b) 322

Solution:

Area = 20 × (7.5 + 8.6) = 322 cm²

47. The area of each square of a chessboard having 64 squares is 4 cm². If there is a border on all the sides of the chessboard of 2 cm, then the perimeter of the chessboard is: [SSC CPO 14/03/2019 (Morning)]

(a) 128cm
(b) 80cm
(c) 70cm
(d) 256cm

Correct Answer: (b) 80cm

Solution:

48. The sides of a triangle are 24cm, 45cm and 51cm. At each of its vertices, circles of radius 10.5cm are drawn. What is the area of the triangle, excluding the portion covered by sectors of the circles? [SSC CPO 13/03/2019 (Evening)]

(a) 244.75cm²
(b) 366.75cm²
(c) 464.75cm²
(d) 327.75cm²

Correct Answer: (b) 366.75cm²

Solution:

49. The radius of a cylinder is increased by 150% and its height is decreased by 20%. What is the percentage increase in its volume? [SSC CPO 12/03/2019 (Morning)]

(a) 400%
(b) 600%
(c) 500%
(d) 80%

Correct Answer: (a) 400%

Solution:

50. The surface area of a cube is 1728 cm². Find its volume. [SSC CHSL Tier II (18/11/2024)]

(a) 6453√2 cm³
(b) 5436√2 cm³
(c) 3456√2 cm³
(d) 4356√2 cm³

Correct Answer: (c) 3456√2 cm³

Solution:

Mensuration (Part-2)

41. The area (in cm²) of a right angled triangle having base 24 cm and hypotenuse 25 cm is: [SSC CPO 15/03/2019 (Evening)]

42. The length of the longest pole that can be placed in a room 16 m long, 8 m wide and 11 m high is: [SSC CPO 15/03/2019 (Evening)]

43. If the height of an equilateral triangle is 10√3 cm, the area (in cm²) is: [SSC CPO 15/03/2019 (Morning)]

44. The dimensions of a swimming pool are 66m x 35m x 3m. How many hours will it take to fill the pool by a pipe of diameter 35 cm with water flowing at speed 8 m/s? [SSC CPO 15/03/2019 (Morning)]

45. Which of the following has the maximum number of vertices? [SSC CPO 14/03/2019 (Evening)]

46. A diagonal of a quadrilateral is 40 cm. The length of the perpendicular to the opposite ends is 7.5 cm and 8.6 cm. What is the area (in cm²) of quadrilateral? [SSC CPO 14/03/2019 (Evening)]

47. The area of each square of a chessboard having 64 squares is 4 cm². If there is a border on all the sides of the chessboard of 2 cm, then the perimeter of the chessboard is: [SSC CPO 14/03/2019 (Morning)]

48. The sides of a triangle are 24cm, 45cm and 51cm. At each of its vertices, circles of radius 10.5cm are drawn. What is the area of the triangle, excluding the portion covered by sectors of the circles? [SSC CPO 13/03/2019 (Evening)]

49. The radius of a cylinder is increased by 150% and its height is decreased by 20%. What is the percentage increase in its volume? [SSC CPO 12/03/2019 (Morning)]

50. The surface area of a cube is 1728 cm². Find its volume. [SSC CHSL Tier II (18/11/2024)]

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