Geometry (Railway Maths) (Part – IV)

Total Questions: 50

41. PQRS is a cyclic trapezium where PQ is parallel to RS and PQ is the diameter. If ∠QPR = 40°, then the ∠PSR is equal to: [RRB NTPC 04/01/2021 (Morning)]

Correct Answer: (a) 130°
Solution:

42. ABC is a right-angled triangle. A circle is inscribed in it. The length of two sides containing the right angle are 10 cm and 24 cm. Find the radius of the circle. [RRB NTPC 04/01/2021 (Evening)]

Correct Answer: (d) 4 cm
Solution:

43. In the parallelogram ABCD, AL and CM are perpendicular to CD and AD respectively. AL = 20 cm. CD = 18 cm and CM = 15 cm. The perimeter of the parallelogram is: [RRB NTPC 07/01/2021 (Morning) ]

Correct Answer: (b) 84 cm
Solution:

44. Looking at the following figure, where angle B and D are (7x - 30)⁰ and 5x⁰ respectively, we can say that the value of x is: [RRB NTPC 07/01/2021 (Evening) ]

Correct Answer: (b) 15°
Solution:

45. The sides of a triangle are in the ratio 3 : 4 : 5 the triangle is: [RRB NTPC 07/01/2021 (Evening) ]

Correct Answer: (a) right angled
Solution:

3, 4 , 5 makes triplets so the triangle formed will be a Right angled triangle.

46. In the given ∆ 𝐾𝑀𝑁, PQ is parallel to MN. IF KP / PM = 4 / 13 and KN = 20.4 cm, find KQ [RRB NTPC 08/01/2021 (Morning) ]

Correct Answer: (b) 4.8 cm
Solution:

KQ = 20.4 × 4/17 = 4.8 cm

47. From an external point P, tangents PA and PB are drawn to a circle withcentre O. If <PAB = 55⁰, find [RRB NTPC 08/01/2021 (Evening) ]

Correct Answer: (c) 110°
Solution:

48. Find the area of a rhombus whose side is 10 cm and the longest diagonal is 16 cm. [RRB NTPC 08/01/2021 (Evening) ]

Correct Answer: (c) 96 cm²
Solution:

49. The perimeter of a right triangle is 60 cm and its hypotenuse is 26 cm. Find the area of the triangle. [RRB NTPC 08/01/2021 (Evening) ]

Correct Answer: (c) 120 cm²
Solution:

50. In the figure, O is the centre of the circle. If <ARS = 125⁰. Then find measure of <PAB. [RRB NTPC 09/01/2021 (Morning) ]

Correct Answer: (b) 35⁰
Solution: