Mensuration (Part-2)

21. Six cubes, each of edge 2 cm, are joined end to end. What is the total surface area of the resulting cuboid [ SSC CGL 13/06/2019 (Morning)]

(a) 96cm²
(b) 144cm²
(c) 104cm²
(d) 128cm²

Correct Answer: (c) 104cm²

Solution:

22. The radius of a sphere is reduced by 40%. By what percent, will its volume decrease? [SSC CGL 10/06/2019 (Afternoon)]

(a) 60%
(b) 64%
(c) 72.5%
(d) 78.4%

Correct Answer: (d) 78.4%

Solution:

23. The area of a field in the shape of a triangle with each side x meter is equal to the area of another triangular field having sides 50m, 70m and 80m. The value of x is closest to : [SSC CGL 07/06/2019 (Afternoon)]

(a) 65.5
(b) 63.2
(c) 62.4
(d) 61.8

Correct Answer: (b) 63.2

Solution:

24. A sector is cut out from a circle of diameter 42 cm. If the angle of the sector is 150°, then its area (in square cm) is: (Take π = 22/7) [SSC CGL 07/06/2019 (Morning)]

(a) 564
(b) 574
(c) 580.6
(d) 577.5

Correct Answer: (d) 577.5

Solution:

25. The radii of three concentric circles are in the ratio of 4:5:7. What is the ratio of the area between the two inner circles to that between the two outer circles? [SSC CGL 06/06/2019 (Evening)]

(a) 4:7
(b) 5:9
(c) 4:5
(d) 3:8

Correct Answer: (d) 3:8

Solution:

26. The length of the metallic pipe is 7.56 m. Its external and internal radii are 2.5 cm and 1.5 cm respectively. If 1 cubic cm of the metal weigh 7.5 g, then the weight(kg) of the pipe is [SSC CGL 06/06/2019 (Afternoon)]

(a) 72.82
(b) 70.14
(c) 71.28
(d) 69.68

Correct Answer: (c) 71.28

Solution:

27. The volume of a metallic cylindrical pipe is 7480 cm³. If its length is 1.4 m and its external radius is 9 cm, then its 22 thickness ((given π = 2) is: [SSC CGL 06/06/2019 (Morning)]

(a) 1 cm
(b) 0.8 cm
(c) 0.9 cm
(d) 1.2cm

Correct Answer: (a) 1 cm

Solution:

28. The areas of the three adjacent faces of a cuboid are 32cm², 24cm² and 48cm². What is the volume (in cm³) of the cuboid ? [SSC CGL 04/06/2019 (Evening)]

(a) 192
(b) 256
(c) 288
(d) 128

Correct Answer: (a) 192

Solution:

29. The area of a triangle is 15 sq cm and the radius of its incircle is 3 cm. Its perimeter is equal to: [SSC CGL 04/06/2019 (Evening)]

(a) 12 cm
(b) 20 cm
(c) 5 cm
(d) 10 cm

Correct Answer: (d) 10 cm

Solution:

30. How much iron sheet (in m²) will be needed to construct a rectangular tank measuring 10m x 8m x 6m, if a circular opening of radius one meter is to be left at the top of the tank? (correct to one decimal place) [SSC CGL 04/06/2019 (Afternoon)]

(a) 371.6
(b) 370.4
(c) 372.9
(d) 370.8

Correct Answer: (c) 372.9

Solution:

Mensuration (Part-2)

21. Six cubes, each of edge 2 cm, are joined end to end. What is the total surface area of the resulting cuboid [ SSC CGL 13/06/2019 (Morning)]

22. The radius of a sphere is reduced by 40%. By what percent, will its volume decrease? [SSC CGL 10/06/2019 (Afternoon)]

23. The area of a field in the shape of a triangle with each side x meter is equal to the area of another triangular field having sides 50m, 70m and 80m. The value of x is closest to : [SSC CGL 07/06/2019 (Afternoon)]

24. A sector is cut out from a circle of diameter 42 cm. If the angle of the sector is 150°, then its area (in square cm) is: (Take π = 22/7) [SSC CGL 07/06/2019 (Morning)]

25. The radii of three concentric circles are in the ratio of 4:5:7. What is the ratio of the area between the two inner circles to that between the two outer circles? [SSC CGL 06/06/2019 (Evening)]

26. The length of the metallic pipe is 7.56 m. Its external and internal radii are 2.5 cm and 1.5 cm respectively. If 1 cubic cm of the metal weigh 7.5 g, then the weight(kg) of the pipe is [SSC CGL 06/06/2019 (Afternoon)]

27. The volume of a metallic cylindrical pipe is 7480 cm³. If its length is 1.4 m and its external radius is 9 cm, then its 22 thickness ((given π = 2) is: [SSC CGL 06/06/2019 (Morning)]

28. The areas of the three adjacent faces of a cuboid are 32cm², 24cm² and 48cm². What is the volume (in cm³) of the cuboid ? [SSC CGL 04/06/2019 (Evening)]

29. The area of a triangle is 15 sq cm and the radius of its incircle is 3 cm. Its perimeter is equal to: [SSC CGL 04/06/2019 (Evening)]

30. How much iron sheet (in m²) will be needed to construct a rectangular tank measuring 10m x 8m x 6m, if a circular opening of radius one meter is to be left at the top of the tank? (correct to one decimal place) [SSC CGL 04/06/2019 (Afternoon)]

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