Geometry (Railway Maths) (Part – I)

Total Questions: 50

11. A 1.5 m tall boy is standing at a distance of 3 m from a 4 m high light post. The light from top of post casts his shadow. What is the length of the boy’s shadow ? [Group D 29/08/2022 (Afternoon)]

Correct Answer: (a) 1.8 m
Solution:

12. If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2 : 3, then the greater of the two angles is : [Group D 30/08/2022 (Morning)]

Correct Answer: (c) 108°
Solution:

Let the two interior angles are 2x and 3x
2x + 3x = 180 ⇒ 5x = 180 ⇒ x = 36
Greater angle = 3x = 3 × 36 = 108°

13. In the adjoining figure AB || CD and CD || EF. Also, EA ⟂ AB. If ∠BGD = 62°, then the value of w is : [Group D 01/09/2022 (Morning) ]

Correct Answer: (a) 28°
Solution:

14. P is any point inside the rectangle ABCD. If PA = 27 cm, PB = 21 cm, PC = 6 cm, then the length PD (in cm) is equal to : [Group D 01/09/2022 (Afternoon)]

Correct Answer: (b) 18
Solution:

15. The sides of a triangle are 15 cm, 28 cm, and 41 cm. What is the length of its altitude corresponding to the side with a length of 28 cm? [Group D 01/09/2022 (Evening)]

Correct Answer: (d) 9 cm
Solution:

16. If angles A, B, C and D of a quadrilateral ABCD, taken in order, are in the ratio 3 : 7 : 6 : 4, then ABCD is a : [Group D 02/09/2022 (Morning)]

Correct Answer: (c) trapezium
Solution:

Let the angles of the quadrilateral are 3x, 7x , 6x and 4x.
3x + 7x + 6x + 4x = 360
⇒ 20x = 360 ⇒ x = 18
Angles are = 54°, 126°, 108° and 72°.
All angles are different, so it is a trapezium.

17. For a regular polygon, the sum of the interior angles is 200% more than the sum of its exterior angles. Each interior angle of the polygon measures x°. What is the value of x° ? [Group D 02/09/2022 (Afternoon)]

Correct Answer: (b) 135°
Solution:

18. Find the answer of given question? [Group D 06/09/2022 (Evening) ]

Correct Answer: (d) 25
Solution:

19. In the given figure, QS || EF and RS || PQ If m ∠PQS = 60°, then m∠RFE = ? [Group D 13/09/2022 (Afternoon) ]

Correct Answer: (c) 120°
Solution:

20. In a rectangle PQRS, if m∠QPR = 26°, then m∠SQR = ___________. [Group D 20/09/2022 (Morning) ]

Correct Answer: (a) 64°
Solution: