Mensuration (Railway Maths) (Part – I)

Total Questions: 50

11. Find the area of the shaded region. [NTPC CBT - I 10/01/2021 (Morning) ]

Correct Answer: (d) 642/7 cm²
Solution:

12. A rectangle has a length 3 m more than its width and a perimeter numerically equal in value to its area. The integral part of the value of its diagonal is. [NTPC CBT - I 13/01/2021 (Morning)]

Correct Answer: (a) 6
Solution:

13. For a room, if length and breadth are given by L = (3x + 10) m and B = (2x + 5) m and the area of 4 of its walls together is (60x + 180) sq units, then the height of the room is: [NTPC CBT - I 19/01/2021 (Morning)]

Correct Answer: (d) 6 m
Solution:

14. If in a circle of radius r = 36 cm a sector of arc length l satisfies 4l = 3r, then the area of the sector is: [NTPC CBT - I 21/01/2021 (Evening)]

Correct Answer: (b) 486 cm²
Solution:

15. A rectangular courtyard is 18 m 72 cm long and 13 m 20 cm broad. It is to be paved with square tiles all of the same sizes. Find the least possible number of such tiles required? [NTPC CBT - I 28/01/2021 (Morning)]

Correct Answer: (a) 4290
Solution:

16. Four cows are tethered to the four corners of a square field of length 28m so that each cow can just touch the two cows in the adjacent corners. If the grass in the area inside the square field that was accessible to the cows was enough to feed them for 22 days, for how many days would the grass that is beyond the reach of these cows be able to feed them if someone cuts it and leaves it inside the grazable part? (Use π = 22/7). [NTPC CBT - I 02/02/2021 (Morning) ]

Correct Answer: (a) 6
Solution:

17. What is the minimum radius ( > 1) of a circle whose circumference is an integer? [NTPC CBT - I 10/02/2021 (Morning) ]

Correct Answer: (c) 4/π
Solution:

18. In a swimming pool measuring 90 m x 40 m, 150 men take a dip. If the average displacement of water by a man is 8 m³, then what will be the rise in the water level of the pool? [NTPC CBT - I 10/02/2021 (Evening)]

Correct Answer: (a) 33.33 cm
Solution:

19. Manish fixed 48 poles in order to fence a square. If the distance between 2 poles is 5 m, then what will be the area of the square formed? [NTPC CBT - I 11/02/2021 (Morning)]

Correct Answer: (b) 3600 m²
Solution:

20. What is the area of the region swept by the minute hand 6 cm long, of a wall clock, in an interval of 5 minutes? [NTPC CBT - I 23/02/2021 (Morning)]

Correct Answer: (d) 9.43 cm²
Solution: