Mensuration (Railway Maths) (Part – V)

Total Questions: 50

1. Find the answer of given question? [Level 2 (13/06/2022) Shift 2 ]

Correct Answer: (c) 42 cm
Solution:

2. An equilateral triangle of side 12 cm is inscribed in a circle. What is the area (in cm²) of the circle? [Level 2 (13/06/2022) Shift 2]

Correct Answer: (b) 48π
Solution:

3. If the length and the height of a cuboid are 18 m and 12 m respectively, and its volume is 3024 m³, then find its breadth (in m). [Level 2 (13/06/2022) Shift 2]

Correct Answer: (a) 14
Solution:

Volume of cuboid = l × b × h
= 3024 = 18 × b × 12 ⇒ b = 14

4. A tent is cylindrical upto a height of 6 m and conical above it. The diameter of the base is 90 m and the height of the conical part is 28 m. What is the area (in m²) of canvas used in making it? [Level 2 (13/06/2022) Shift 2]

Correct Answer: (d) 2925π
Solution:

5. The diameter of base of a right circular cone is 20 cm and its slant height is 10.5 cm. What is the curvedsurface area (in cm²) of the right circular cone? (Use Π = 22/7] [Level 2 (13/06/2022) Shift 2 ]

Correct Answer: (c) 330
Solution:

6. A lawn in the shape of a rectangle has an area of 7260 m² and its side are in the ratio 5 : 3. Its perimeter is equal to the perimeter of a circular garden. What is the area of the circular garden (take π = 22/7) [Level 3 (14/06/2022) Shift 1 ]

Correct Answer: (b) 9856 m²
Solution:

7. The volume of a solid cone is 96π cm³ and its height is 8 cm. What is its total surface area (in cm²)? [Level 3 (14/06/2022) Shift 1]

Correct Answer: (a) 96π
Solution:

8. A hundred rupee note measures 15 cm × 8 cm and a bundle of 125 such notes is 2 cm thick. Find the value of the hundred rupee notes that can be contained in a box of size 48 cm × 36 cm × 30 cm, if the bundles are tightly packed in it without any empty space. [Level 3 (14/06/2022) Shift 1]

Correct Answer: (d) 27 Lakhs
Solution:

9. A cylindrical bucket of height 150 cm and radius 50 cm is full of water. A person wants to fill spherical balloons of radius 5 cm each with the water in the bucket. How many balloons can he fill completely with the water present in the bucket? [Level 3 (14/06/2022) Shift 1]

Correct Answer: (a) 2250
Solution:

10. Find the volume of a cylinder whose base radius is 12.5 cm and whose height is 4/5 of the base radius. [Level 3 (14/06/2022) Shift 2]

Correct Answer: (b) 1562.5π cm³
Solution: