Geometry (Railway Maths) (Part – II)

Total Questions: 50

41. Which of the following is true for a square ? [Group D 29/08/2022 (Morning)]

(a) All angles equal
(b) All sides parallel
(c) Diagonals equal
(d) All sides equal

Correct Answer: (b) a, c, d
Solution:

A square has all angles equal, all sides are equal , and two diagonals are equal. So, only option a, c and d follow.

42. If the opposite angles of a cyclic quadrilateral are in the ratio 3 : 7, then the measure of the bigger angle among the two is : [Group D 29/08/2022 (Morning)]

Correct Answer: (b) 126°
Solution:

43. Find the circumference of a circle that circumscribes a square of side 7 cm. (use π = 22/7) [Group D 29/08/2022 (Afternoon)]

Correct Answer: (d) 22√2 cm
Solution:

44. If a regular polygon has 65 diagonals, then the sum of its interior angles is: [Group D 29/08/2022 (Evening) ]

Correct Answer: (c) 1980°
Solution:

45. If one angle of a triangle is equal to the sum of the other two angles, then the triangle is: [Group D 29/08/2022 (Evening) ]

Correct Answer: (d) a right-angle triangle
Solution:

46. The point of intersection of the medians of a triangle is called : [Group D 30/08/2022 (Morning) ]

Correct Answer: (d) Centroid
Solution:

The point of intersection of all the medians of a triangle is the centroid of the triangle. A median of a triangle is a line segment from one vertex to the midpoint on the opposite side of the triangle

47. A pair of parallel lines is intersected by a transversal such that <1 and <2 form a pair of alternate interior angles. If m <1 = 35°, what is the measure of <2? [Group D 30/08/2022 (Afternoon) ]

Correct Answer: (a) 35°
Solution:

48. If the ratio of two interior angles on the same side of a transversal line intersecting the two parallel lines is 3 : 7, then what is the positive difference between the measures of these two interior angles? [Group D 30/08/2022 (Afternoon) ]

Correct Answer: (c) 72°
Solution:

49. In a parallelogram PQRS, the bisectors of consecutive angles of P and Q intersect at T. What is the measure of <PTQ? [Group D 30/08/2022 (Evening) ]

Correct Answer: (b) 90°
Solution:

50. In triangle ABC, if the angles are in the ratio 4 : 3 : 5, find the angles. [Group D 01/09/2022 (Morning) ]

Correct Answer: (d) 60°, 45°, 75°
Solution: