Mensuration (Part-12)

Total Questions: 50

41. The larger diagonal of a rhombus is 150% of its smaller diagonal, and its area is 432 cm². Find the length (in cm) of the side of the rhombus? [SSC MTS 14/07/2022 (Evening)]

Correct Answer: (c) 6√13
Solution:

42. The length of each side of a rhombus is 10 cm. If the length of one of its diagonals is 16 cm,then what is the area of the rhombus? [SSC MTS 15/07/2022 (Evening)]

Correct Answer: (d) 96 cm²
Solution:

43. Two cubes, each having a total surface area of 150cm², are joined together to form a cuboid. Find the total surface area of the resulting cuboid. [SSC MTS 18/07/2022 (Afternoon)]

Correct Answer: (b) 250
Solution:

44. The circumference of a circle is equal to the perimeter of an equilateral triangle. If the radius of the circle is 84 cm, then what will be the length of each side of the equilateral triangle? [use π = 22/7] [SSC MTS 19/07/2022 (Afternoon)]

Correct Answer: (b) 176 cm
Solution:

45. The height of a cylinder is 3 cm more than the radius of its base. If the height is 10 cm, then what is the volume of this cylinder ? [use π = 22/7] [SSC MTS 20/07/2022 (Morning)]

Correct Answer: (a) 1540 cm³
Solution:

46. What is the radius of a circular field whose area is equal to the sum of the area of three smaller circular fields of radii 8 m, 9 m and 12 m respectively? [SSC MTS 20/07/2022 (Morning)]

Correct Answer: (d) 17 m
Solution:

47. A toy is formed by placing a solid circular cone on a solid hemisphere and the radius of the common base of the cone and the hemisphere is 15 cm, If the volume of the toy is 2850πcm³, then find the total surface area of that toy. [SSC MTS 20/07/2022 (Morning)]

Correct Answer: (c) 705π сm²
Solution:

48. A large solid cube is melted and cast into 'N' small solid spheres, each of radius 3 cm, and N + 2' small solid cuboids, Each of dimensions 4 cm x 4cm x 6.5cm, If the length of each side of the large solid cube is 12 cm, then find the value of 'N' [use π = 22/7] [SSC MTS 20/07/2022 (Afternoon)]

Correct Answer: (c) 7
Solution:

49. The height of a trapezium is 68 cm and the sum of its parallel sides is 75 cm. If the area of the trapezium is 6/17 times of the area of a square, then the length of the diagonal of the square is: (take √2 =1.41) [SSC MTS 21/07/2022 (Morning)]

Correct Answer: (c) 119.85 cm
Solution:

50. Find the total surface area of a closed hemisphere whose diameter is 7 cm. [Use π = 22/7] [SSC MTS 21/07/2022 (Evening)]

Correct Answer: (d) 115.5 cm²
Solution: