Mensuration (Railway Maths) (Part – I)

Total Questions: 50

1. A water tank is in the form of a cube of side 2 m. It has an inlet in the shape of a circle with radius 3.5 cm. How long will it take to fill the tank (approximately), if the water is flowing at a speed of 2 m/s? [Group D 17/08/2022 (Morning)]

Correct Answer: (b) 17.3 minutes
Solution:

2. If the length of a rectangle is increased by 4m, and the breadth is decreased by 2m, then its area is increased by 2 m². If its length is decreased by 3m, and breadth is increased by 5m, then its area is increased by 23 m². Find the perimeter (in meters) of the original rectangle. [Group D 06/09/2022 (Afternoon)]

Correct Answer: (b) 44
Solution:

3. A factory built in the shape of a cuboid except for its roof had its dimensions given as 140 m x 10 m x 10 m. The structure is then closed on the top with a semi-cylindrical structure to exactly cover the open top of the cuboidal structure. The volume (in m³) of the semi-cylindrical structure forming the roof is: Take π = 22/7 [Group D 17/09/2022 (Afternoon)]

Correct Answer: (b) 5500
Solution:

4. The volume of a cuboid is 5a² – 80b². Which of the options below can be possible dimensions of the cuboid? [Group D 18/09/2022 (Evening) ]

Correct Answer: (b) 5, a - 4b , a + 4b
Solution:

5. John has a cuboidal box whose length, breadth, and height are in the ratio 2:3:5. If the length, the breadth, and the height of this box are each increased by 100% to make a new box, then the volume of the new box is how many times the volume of the old box? [Group D 26/09/2022 (Afternoon)]

Correct Answer: (b) 8 times
Solution:

6. 48 square plates of side 2 cm are arranged in the form of a rectangle such that its sides are in the ratio 3 : 4. Find the perimeter of the rectangle (in cm). [NTPC CBT II Level 5 (15/06/2022) Shift 2]

Correct Answer: (a) 56
Solution:

7. Find the answer of given question? [NTPC CBT II Level 2 (16/06/2022) Shift 3]

Correct Answer: (c) 134.10 cm³
Solution:

8. A 2 m deep and 21 m wide river is flowing at the rate of 5 km/h. How many kilolitres of water will fall into the sea in 10 minutes? [NTPC CBT I - 29/12/2020 (Morning)]

Correct Answer: (a) 35000 kl
Solution:

9. A rhombus has one of its diagonal 65% of the other. A square is drawn using the longer diagonal as side. What will be the ratio of the area of the rhombus as that of the square? [NTPC CBT - I 04/01/2021 (Evening) ]

Correct Answer: (b) 13 : 40
Solution:

10. A few lead spheres of diameter 6 cm are dropped into a cylindrical beaker containing some water such that they are fully submerged. If the diameter of the beaker is 9 cm and the water level has risen by 32 cm, find the number of lead spheres dropped into the beaker. [NTPC CBT - I 04/01/2021 (Evening) ]

Correct Answer: (a) 18
Solution: