Mensuration (Part-10)

31. The length of a cuboid is 4 cm. If the breadth of the cuboid is four times of its length and height of the cuboid is twice of its length, then what is the lateral surface area of the cuboid? [SSC MTS 15/06/2023 (Afternoon)]

(a) 380 cm²
(b) 440 cm²
(c) 260 cm²
(d) 320 cm²

Correct Answer: (d) 320 cm²

Solution:

32. One of the diagonals of a rhombus is 70 percent of the other diagonal. What is the ratio of the area of rhombus to the square of the length of the larger diagonal? [SSC MTS 15/06/2023 (Evening)]

(a) 5:17
(b) 7:20
(c) 6:19
(d) 20:7

Correct Answer: (b) 7:20

Solution:

33. If the radius of a cylinder is decreased by 16 percent, then by how much percent its height must be increased, so that the volume of the cylinder remains the same? [SSC MTS 15/06/2023 (Evening)]

(a) 32.96%
(b) 41.72%
(c) 45.28%
(d) 36.43%

Correct Answer: (b) 41.72%

Solution:

34. The sum of the length and breadth of a cuboid is 16 cm. If the height of the cuboid is 1/4 of the sum of its length and breadth, then what is the lateral surface area of the cuboid? [SSC MTS 16/06/2023 (Afternoon)]

(a) 128 cm²
(b) 196 cm²
(c) 96 cm²
(d) 156 cm²

Correct Answer: (a) 128 cm²

Solution:

35. The length of a cuboid is 10 cm. If the breadth of the cuboid is half of its length and height of the cuboid is twice of its length, then what is the lateral surface area of the cuboid? [SSC MTS 16/06/2023 (Evening)]

(a) 600 cm²
(b) 500 cm²
(c) 720 cm²
(d) 560 cm²

Correct Answer: (a) 600 cm²

Solution:

36. The perimeter of the top of a rectangular table is 56 meter and its area is 192 meter². What is the length of its diagonal? [SSC MTS 20/06/2023 (Morning)]

(a) 22 metre
(b) 20 metre
(c) 16 metre
(d) 18 metre

Correct Answer: (b) 20 metre

Solution:

37. If the area of non-spherical portion of a solid hemisphere is 1560 m², then the total surface area of the hemisphere is: [SSC MTS 20/06/2023 (Afternoon)]

(a) 6240 m²
(b) 4680 m²
(c) 5140 m²
(d) 3120 m²

Correct Answer: (b) 4680 m²

Solution:

38. The sum of the length and breadth of a cuboid is 40 cm. If the height of the cuboid is 1/5 of the sum of its length and breadth, then what is the lateral surface area of the cuboid? [SSC MTS 20/06/2023 (Evening)]

(a) 580 cm²
(b) 320 cm²
(c) 640 cm²
(d) 720 cm²

Correct Answer: (c) 640 cm²

Solution:

39. If the radius of the sphere is decreased by 10 percent, then volume of the sphere will be decreased by what percentage? [SSC CHSL 10/03/2023 (1st Shift)]

(a) 32.5 percent
(b) 30.6 percent
(c) 25.6 percent
(d) 27.1 percent

Correct Answer: (d) 27.1 percent

Solution:

40. Three circles of radius 7 cm are placed in such a way that each circle touches the other two. What will be the area of the portion enclosed by these three circles ? [SSC CHSL 10/03/2023 (3rd Shift)]

(a) 49√3 - 77 cm²
(b) 40√3 - 66 cm²
(c) 50√3 - 66 cm²
(d) 55√3 - 77 cm²

Correct Answer: (a) 49√3 - 77 cm²

Solution:

Mensuration (Part-10)

31. The length of a cuboid is 4 cm. If the breadth of the cuboid is four times of its length and height of the cuboid is twice of its length, then what is the lateral surface area of the cuboid? [SSC MTS 15/06/2023 (Afternoon)]

32. One of the diagonals of a rhombus is 70 percent of the other diagonal. What is the ratio of the area of rhombus to the square of the length of the larger diagonal? [SSC MTS 15/06/2023 (Evening)]

33. If the radius of a cylinder is decreased by 16 percent, then by how much percent its height must be increased, so that the volume of the cylinder remains the same? [SSC MTS 15/06/2023 (Evening)]

34. The sum of the length and breadth of a cuboid is 16 cm. If the height of the cuboid is 1/4 of the sum of its length and breadth, then what is the lateral surface area of the cuboid? [SSC MTS 16/06/2023 (Afternoon)]

35. The length of a cuboid is 10 cm. If the breadth of the cuboid is half of its length and height of the cuboid is twice of its length, then what is the lateral surface area of the cuboid? [SSC MTS 16/06/2023 (Evening)]

36. The perimeter of the top of a rectangular table is 56 meter and its area is 192 meter². What is the length of its diagonal? [SSC MTS 20/06/2023 (Morning)]

37. If the area of non-spherical portion of a solid hemisphere is 1560 m², then the total surface area of the hemisphere is: [SSC MTS 20/06/2023 (Afternoon)]

38. The sum of the length and breadth of a cuboid is 40 cm. If the height of the cuboid is 1/5 of the sum of its length and breadth, then what is the lateral surface area of the cuboid? [SSC MTS 20/06/2023 (Evening)]

39. If the radius of the sphere is decreased by 10 percent, then volume of the sphere will be decreased by what percentage? [SSC CHSL 10/03/2023 (1st Shift)]

40. Three circles of radius 7 cm are placed in such a way that each circle touches the other two. What will be the area of the portion enclosed by these three circles ? [SSC CHSL 10/03/2023 (3rd Shift)]

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