Geometry (Railway Maths) (Part – III)

Total Questions: 50

11. The difference in the measures of two complementary angles is 24°. Find the measure of the greater angle. [Group D 05/09/2022 (Afternoon) ]

Correct Answer: (c) 57°
Solution:

12. ABCD is a trapezium in which BC || AD and AC = CD. If <ABC = 98° and <BAC = 32°, then what is the measure of <ACD? [Group D 05/09/2022 (Evening) ]

Correct Answer: (c) 80°
Solution:

13. A quadrilateral whose sides are equal and all angles between the sides are 90° is called a : [Group D 05/09/2022 (Evening) ]

Correct Answer: (d) square
Solution:

Square : It is quadrilateral whose all four sides are equal and all the four internals angles are right angles. It is a special case of a rectangle.
Rectangle: It is a quadrilateral with four right angles. It can also be defined as an equiangular quadrilateral, since equiangular means that all of its angles are equal. It has opposite sides equal.
Rhombus: It is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal in length. Its diagonals intersect each other at 90 degrees.
Trapezium: It is a quadrilateral with a pair of opposite sides parallel.

14. A straight angle is equal to______. [Group D 06/09/2022 (Morning) ]

Correct Answer: (c) 180°
Solution:

A straigth angle is an angle equal to 180 degrees. It looks like a straigth line.

15. In the given figure, p || q and I is a transversal cutting p and q with angles as specified. The value of (5x - y) is : [Group - D 06/09/2022 (Evening) ]

Correct Answer: (a) 60
Solution:

16. The angles opposite to the equal sides of a triangle are ______. [Group D 06/09/2022 (Morning)]

Correct Answer: (c) equal
Solution:

Angles opposite the equal sides of a triangle are always equal.

17. If each interior angle of a regular polygon is 144°, then the number of its sides is: [Group D 06/09/2022 (Morning)]

Correct Answer: (d) 10
Solution:

18. D and E are the mid-points of the sides AB and AC of a triangle ABC, respectively, and BC = 6 cm. If DE || BC, then find the length of DE. [Group D 06/09/2022 (Afternoon)]

Correct Answer: (b) 3 cm
Solution:

19. Two parallel lines intersect at: [Group D 08/09/2022 (Afternoon)]

Correct Answer: (d) no point
Solution:

Parallel lines never intersect each other.

20. In the given figure, AB and CD are parallel lines intersected by a transversal PQ at L and M, respectively. If <CMQ = 48°, then <PLA is: [Group D 08/09/2022 (Evening) ]

Correct Answer: (b) 132°
Solution: