Mensuration (Railway Maths) (Part – IV)

Total Questions: 50

1. Find the area of a triangle whose sides measure 42 cm, 36 cm and 34 cm, respectively. [Group D 06/10/2022 (Morning) ]

Correct Answer: (b) 56 √110 cm²
Solution:

2. A metallic sphere of radius 10.5 cm is melted and then recast into small spheres, each of radius 3.5 cm. Find the number of small spheres thus obtained. [Group D 06/10/2022 (Afternoon)]

Correct Answer: (d) 27
Solution:

3. Find the total surface area (in square units) of a hollow hemisphere whose outer radius is 10 units and inner radius is 5 units. [Group D 06/10/2022 (Afternoon)]

Correct Answer: (d) 325π
Solution:

4. If the surface area of a sphere is 1144 cm², then find its diameter (in cm). (Use π = 22/7) [Group D 06/10/2022 (Evening)]

Correct Answer: (c) 2√91
Solution:

5. The area of a triangle is 81 cm² and its base is double the corresponding height. This height (in cm) of the triangle is: [Group D 06/10/2022 (Evening)]

Correct Answer: (b) 9
Solution:

6. If the volume of a sphere is 792/7 cm³, then find the radius of the sphere. (Use π = 22/7 for calculation) [Group D 07/10/2022 (Afternoon)]

Correct Answer: (b) 3 cm
Solution:

7. The perimeter of a right-angled triangle is 80 cm. If the length of its hypotenuse is 34 cm, find the lengths of its other two sides. [Group D 07/10/2022 (Afternoon)]

Correct Answer: (b) 16 cm, 30 cm
Solution:

8. The perimeter of a rhombus is 146 cm and one of its diagonals is 55 cm. Find the area of the rhombus. [Group D 07/10/2022 (Evening)]

Correct Answer: (b) 1320 cm²
Solution:

9. The area of a trapezium is 160 cm². If the lengths of the parallel sides are 20 cm and 12 cm, respectively, then the perpendicular distance (in cm) between the parallel sides is: [Group D 07/10/2022 (Evening)]

Correct Answer: (a) 10
Solution:

10. A capsule is in the shape of a sphere of diameter 3.5 mm. Find the amount of medicine required to fill the capsule (in nm³). [use Π = 22/7, and give your answer correct to 2 places of decimal.] [Group D 11/10/2022 (Morning) ]

Correct Answer: (c) 22.46
Solution: