Geometry (Railway Maths) (Part – III)

Total Questions: 50

41. Given that △ ABC and △ADE are similar which of the following option is necessarily true ? [Group D 18/09/2022 (Evening) ]

Correct Answer: (a)
Solution:

42. Two adjacent angles of a parallelogram are such that one is two-thirds the other. Find the measure of the smaller angle. [Group D 19/09/2022 (Morning)]

Correct Answer: (b) 72°
Solution:

43. If one angle of a quadrilateral measures 120° and its remaining three angles are equal in measure to one another, then the measure of each of these three remaining angles is equal to ______. [Group D 19/09/2022 (Evening)]

Correct Answer: (a) 80°
Solution:

44. The measures of three angles of a quadrilateral are given as 90°, 96° and 88°. The measure of its fourth angle is ______. [Group D 20/09/2022 (Morning)]

Correct Answer: (b) 86°
Solution:

45. If the area of an equilateral triangle is 25√3 cm², then the length (in cm) of eachcm², then the length (in cm) of each side of this equilateral triangle is ______. [Group D 20/09/2022 (Evening)]

Correct Answer: (a) 10
Solution:

46. G is the centroid of ΔABC. AD is a median of ΔABC intersecting BC at D. What is the ratio of the lengths of AG and GD? [Group D 22/09/2022 (Morning) ]

Correct Answer: (b) 2 : 1
Solution:

47. Three angles of ΔABC are in the ratio 3 : 4 : 5, taken in order. If side AB is extended to X, what is the measure of exterior angle <CBX? [Group D 26/09/2022 (Morning) ]

Correct Answer: (c) 120°
Solution:

48. In the given figure, l₁ || l₂ and p is their transversal with angle 4 = 5x + 35 and angle 7 = 45°. Find the value of x. [Group D 26/09/2022 (Afternoon) ]

Correct Answer: (c) 20°
Solution:

49. In the given figure, ΔABC is similar to ΔDEF; if AB = 6.5 cm, DE = 3.9 cm, and BC = 5.15 cm, find EF. [Group D 26/09/2022 (Evening) ]

Correct Answer: (b) 3.09 cm
Solution:

50. Find the answer of given question? [Group D 28/09/2022 (Morning) ]

Correct Answer: (d) parallelogram
Solution: