Geometry (Railway Maths) (Part – II)

Total Questions: 50

11. In figure 'O' is the center of a circle. The area of the section OAPB is 5/18 of the area of the circle. Find x. [ALP Tier - I 31/08/2018 (Evening) ]

Correct Answer: (c) 100 degrees
Solution:

12. In △ ABC if <A = 40° and <B = 70°, find the measure of exterior angle A. [Group D 17/08/2022 (Morning) ]

Correct Answer: (c) 140°
Solution:

13. In the adjoining figure line l is parallel to m. What is the value of 2x + y ? [Group D 17/08/2022 (Evening) ]

Correct Answer: (b) 270°
Solution:

14. If two parallel lines are intersected by a transversal, then which of the options below is not necessarily correct ? [Group D 18/08/2022 (Morning)]

Correct Answer: (d) A pair of interior angles on the same side of the transversal have the same measure.
Solution:

15. If each interior angle of a regular polygon is 135°, then the number of sides that polygon has is : [Group D 18/08/2022 (Afternoon)]

Correct Answer: (c) 8
Solution:

16. Find the number of sides in a regular polygon if its interior angle is 160°. [Group D 18/08/2022 (Evening)]

Correct Answer: (d) 18
Solution:

17. Find the answer of given question? [Group D 22/08/2022 (Morning) ]

Correct Answer: (d)
Solution:

18. If two angles of a triangle measure 60° and 80°, respectively, then the measure of the third angle of this triangle is: [Group D 22/08/2022 (Morning) ]

Correct Answer: (a) 40°
Solution:

In triangle We know that , Sum of angles = 180°
⇒ third angle = 180° - (60° + 80°) = 40°

19. In the given figure line I is parallel to m and p is the transversal. Find the measure of the angle 1. [Group D 22/08/2022 (Evening) ]

Correct Answer: (a) 150°
Solution:

20. Which of the following is NOT a property of similar triangles ? [Group D 22/08/2022 (Evening) ]

Correct Answer: (d) Ratio of any two angles = Ratio of any two medians
Solution:

Properties of similar triangles ,
(i) Ratio of corresponding sides = Ratio of corresponding altitude
(ii) Ratio of corresponding sides = Ratio of corresponding perimeters
(iii) Ratio of corresponding sides = Ratio of corresponding medians
(iv) Ratio of any two angles ≠ Ratio of any two medians
So , option (d) is not a property of similar triangles.