Mensuration (Railway Maths) (Part – I)

Total Questions: 50

41. The diagonal of a quadrilateral is 32 m long, and its two offsets are 6 m and 10 m long. The area of the quadrilateral is: [Group D 22/08/2022 (Morning)]

Correct Answer: (a) 256 m²
Solution:

42. A triangle has sides of length 5 cm, 7 cm, and 10 cm. Find the area of the triangle (in cm²). [Group D 22/08/2022 (Morning)]

Correct Answer: (b) 2√66
Solution:

43. In a right-angled triangle, if the hypotenuse is 4 units greater than one side and 8 units greater than the other, then find the area of the triangle. [Group D 22/08/2022 (Afternoon)]

Correct Answer: (c) 96 sq. units
Solution:

44. If the radius of a sphere is increased by 2 cm, then its surface areaincreases by 704 cm². Using (π = 22/7), find the radius of the sphere before the increase. [Group D 22/08/2022 (Evening) ]

Correct Answer: (d) 13 cm
Solution:

45. A cuboidal block, 12 cm by 24 cm by 30 cm, is cut up into an exact number of identical cubes. The least possible number of such cubes is: [Group D 22/08/2022 (Evening)]

Correct Answer: (b) 40
Solution:

46. Find the area of a rhombus whose diagonals are 12 cm and 15 cm long. [Group D 23/08/2022 (Morning)]

Correct Answer: (c) 90 cm²
Solution:

47. If the area of an equilateral triangle is 25√3 cm², then the length of each side of the triangle is: [Group D 23/08/2022 (Afternoon)]

Correct Answer: (d) 10 cm
Solution:

48. If the surface area of a sphere is 36π cm², then the radius of the sphere is: [Group D 23/08/2022 (Afternoon)]

Correct Answer: (a) 3 cm
Solution:

49. Find the length of the side of an equilateral triangle whose area is 4√3 square units. [Group D 23/08/2022 (Evening)]

Correct Answer: (d) 4 units
Solution:

50. The length of a cuboidal room is 15m, breadth 17m and height 21m. Find the cost of painting its walls and ceiling at the rate of ₹40/m 2 ? [Group D 23/08/2022 (Evening) ]

Correct Answer: (b) ₹ 63,960
Solution: