Mensuration (Part-9)

41. If the area of a square is 529cm² then what is the length of its diagonal? [SSC MTS 03/05/2023 (Morning)]

(a) 23 cm
(b) 26√3
(c) 23√2
(d) 46 cm

Correct Answer: (c) 23√2

Solution:

42. The length of a cuboid is six times of its breadth and the height of a cuboid is four times of its breadth. If the breadth of the cuboid is 3 cm, then what is the total surface area of the cuboid? [SSC MTS 03/05/2023 (Evening)]

(a) 484 cm²
(b) 612 cm²
(c) 576 cm²
(d) 676 cm²

Correct Answer: (b) 612 cm²

Solution:

43. The ratio of radii of a cylinder to a cone is 3:1. If their heights are equal, What is the ratio of their volumes? [SSC MTS 03/05/2023 (Evening)]

(a) 1:3
(b) 27:1
(c) 9:1
(d) 1:9

Correct Answer: (b) 27:1

Solution:

44. The ratio of the sides of a triangle is 11:11:4. If the area of triangle is 2√117 cm², then what is the length of the equal sides ? [SSC MTS 04/05/2023 (Morning)]

(a) 3 cm
(b) 13 cm
(c) 11cm
(d) 9 cm

Correct Answer: (c) 11cm

Solution:

45. The two adjacent sides of a parallelogram are 12 cm and 5 cm respectively. If one of the diagonals is 13 cm long, then what is the area of the parallelogram? [SSC MTS 04/05/2023 (Afternoon)]

(a) 60 cm²
(b) 30 cm²
(c) 75 cm²
(d) 25 cm²

Correct Answer: (a) 60 cm²

Solution:

46. A cuboid whose sides are 8 cm, 27 cm and 64 cm is melted to form a new cube. What is the respective ratio of the total surface area of the cuboid and cube? [SSC MTS 08/05/2023 (Morning)]

(a) 307:216
(b) 291:203
(c) 349:248
(d) 329: 237

Correct Answer: (a) 307:216

Solution:

47. Find ¹⁄₂₁ th of the volume of a hemisphere whose radius is 4.2 m [SSC MTS 08/05/2023 (Afternoon)]

(a) 6.6 m³
(b) 7.3 m³
(c) 8.2 m³
(d) 7.1 m³

Correct Answer: (b) 7.3 m³

Solution:

48. Two cubes each of edge 9 cm are joined to form a single cuboid. What is the total surface area of the cuboid formed? [SSC MTS 08/05/2023 (Afternoon)]

(a) 775 cm²
(b) 810 cm²
(c) 990 cm²
(d) 1024 cm²

Correct Answer: (b) 810 cm²

Solution:

49. The radius of the base of a conical tent is 8 m and its height is 15 m, what is the cost of the material needed to make it if it costs Rs.54 per π m² ? [SSC MTS 08/05/2023 (Evening)]

(a) Rs.6454
(b) Rs.7344
(c) Rs.8678
(d) Rs.7454

Correct Answer: (b) Rs.7344

Solution:

50. The largest possible sphere is carved out of a cube of side 6 cm. What is the volume of the sphere? [SSC MTS 09/05/2023 (Morning)]

Correct Answer: (a)

Solution:

Mensuration (Part-9)

41. If the area of a square is 529cm² then what is the length of its diagonal? [SSC MTS 03/05/2023 (Morning)]

42. The length of a cuboid is six times of its breadth and the height of a cuboid is four times of its breadth. If the breadth of the cuboid is 3 cm, then what is the total surface area of the cuboid? [SSC MTS 03/05/2023 (Evening)]

43. The ratio of radii of a cylinder to a cone is 3:1. If their heights are equal, What is the ratio of their volumes? [SSC MTS 03/05/2023 (Evening)]

44. The ratio of the sides of a triangle is 11:11:4. If the area of triangle is 2√117 cm², then what is the length of the equal sides ? [SSC MTS 04/05/2023 (Morning)]

45. The two adjacent sides of a parallelogram are 12 cm and 5 cm respectively. If one of the diagonals is 13 cm long, then what is the area of the parallelogram? [SSC MTS 04/05/2023 (Afternoon)]

46. A cuboid whose sides are 8 cm, 27 cm and 64 cm is melted to form a new cube. What is the respective ratio of the total surface area of the cuboid and cube? [SSC MTS 08/05/2023 (Morning)]

47. Find ¹⁄₂₁ th of the volume of a hemisphere whose radius is 4.2 m [SSC MTS 08/05/2023 (Afternoon)]

48. Two cubes each of edge 9 cm are joined to form a single cuboid. What is the total surface area of the cuboid formed? [SSC MTS 08/05/2023 (Afternoon)]

49. The radius of the base of a conical tent is 8 m and its height is 15 m, what is the cost of the material needed to make it if it costs Rs.54 per π m² ? [SSC MTS 08/05/2023 (Evening)]

50. The largest possible sphere is carved out of a cube of side 6 cm. What is the volume of the sphere? [SSC MTS 09/05/2023 (Morning)]

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