Mensuration (Railway Maths) (Part – IV)

Total Questions: 50

11. The length of a rectangle is 5 cm more than its width. If the area of the rectangle is 215 cm², then the equation to find width (w) of the rectangle is: [Group D 11/10/2022 (Morning)]

Correct Answer: (d) w² + 5w − 215 = 0
Solution:

12. 3 solid hemispheres of radius 2 unit each are melted and recast into a single sphere. Find the radius (in given units) of the newly cast single sphere. [Group D 11/10/2022 (Morning)]

Correct Answer: (a) ∛12
Solution:

13. Find the area of a triangle whose base measures 126.4 cm and height is 54.8 cm. [Group D 11/10/2022 (Afternoon)]

Correct Answer: (d) 3463.36 cm²
Solution:

Area of triangle
= 1/2 × 126.4 × 54.8 = 3463.36

14. The area of a triangle whose sides measure 10 cm, 12 cm and 14 cm is: [Group D 11/10/2022 (Afternoon)]

Correct Answer: (d) 24√6 cm²
Solution:

15. The area of a triangle is 85 cm² and its base is 5 cm. Find the height of the triangle corresponding to this given base. [Group D 11/10/2022 (Evening) ]

Correct Answer: (b) 34 cm
Solution:

16. The base of the right-angled triangle is 3 m greater than its height. If its hypotenuse is 15 m, then find its area. [Group D 11/10/2022 (Evening) ]

Correct Answer: (d) 54 m²
Solution:

17. The circumference of a circle is given as 308 m. What is the area of the circle? [Use π = 22/7] [Level 6 (09/05/2022) Shift 1 ]

Correct Answer: (b) 7546 m²
Solution:

18. ABCE is a rectangle with AB = 10 cm and BC = 8 cm. O is the centre of the circle touching the three sides AB, BC and CE of the rectangle ABCE. Find the area (in cm²) of ΔOBC. [Level 6 (09/05/2022) Shift 1 ]

Correct Answer: (b) 16
Solution:

19. The outer radius of a spherical shell is 9 cm and the thickness of the shell is 1 cm. Find the volume of the metal used for the shell (in cubic cm). (Use π = 22/7) [Level 6 (09/05/2022) Shift 1 ]

Correct Answer: (c)
Solution:

20. The radius of the base of the conical tent is 9 m and its height is 12 m, find the cost of the material needed to make it if it costs ₹100 per πm². [Level 6 (09/05/2022) Shift 1 ]

Correct Answer: (d) ₹ 13,500
Solution: