Mensuration (Railway Maths) (Part – II)

Total Questions: 50

21. In Δ ABC, DE || AC, where D and E are the points on sides AB and BC, respectively. If BD = 4 cm and AD = 2√2 cm, then what is the ratio of the area of ΔBDE to the trapezium ADEC? [Group D 01/09/2022 (Evening)]

Correct Answer: (b) 2 : (1 + 2√2)
Solution:

22. The sides (in cm) of a right triangle are (x - 2), (x - 4) and x. Its area (in cm²) is: [Group D 02/09/2022 (Morning)]

Correct Answer: (d) 24
Solution:

23. Find the curved surface area of a cylinder whose diameter of base is 14 m and height is 24 m. (Use π = 22/7) [Group D 02/09/2022 (Morning)]

Correct Answer: (b) 1056 cm²
Solution:

24. How many cubic cm of water can a hemispherical container of radius 7 cm hold (rounded off to two decimal places)? (use π = 22/7) [Group D 02/09/2022 (Afternoon)]

Correct Answer: (d) 718.67
Solution:

25. A solid metallic cuboid of sides 4 cm × 10 cm × 15 cm is melted and made into small identical dices of 2 cm × 2 cm × 2 cm. How many such dices can be made? [Group D 02/09/2022 (Evening)]

Correct Answer: (a) 75
Solution:

26. Find the surface area of a sphere whose diameter is equal to 14 cm. [Group D 05/09/2022 (Morning)]

Correct Answer: (c) 616 cm²
Solution:

27. The length, the breadth, and the height of a closed cuboidal box are 2.5 m, 2 m, and 90 cm, respectively. What would be the cost of a canvas needed to cover this box completely, if the cost of the canvas is ₹80 per m²? [Group D 05/09/2022 (Afternoon)]

Correct Answer: (c) ₹1,448
Solution:

28. Find the volume of a cube whose edge is 8 cm. [Group D 05/09/2022 (Evening)]

Correct Answer: (c) 512 cm³
Solution:

Volume of cube = side³
⇒ 8 × 8 × 8 = 512 cm³

29. A solid metallic sphere of radius 12 cm is melted and cast into 27 identical spheres. Find the ratio of the surface area of the original sphere to the total surface area of the 6 smaller spheres thus formed. [Group D 06/09/2022 (Morning)]

Correct Answer: (a) 3 : 2
Solution:

30. If the radius of the base of a right circular cylinder is decreased by 20%, and its height is increased by 125%, then by what percent will its volume increase? [Group D 06/09/2022 (Evening)]

Correct Answer: (c) 44%
Solution: