Geometry (Railway Maths) (Part – IV)

Total Questions: 50

31. IJK is an isosceles triangle in which IJ = IK. The value of <IJK is what percentage less than 120⁰, if angle <JIK = 60⁰. [Level 3 (17/06/2022) Shift 3 ]

Correct Answer: (d) 50%
Solution:

32. The angles of a triangle are 2x°, (3x° − 8°) and (5x° − 12°). The greatest angle of the triangle is: [RRB NTPC 28/12/2020 (Morning)]

Correct Answer: (d) 88°
Solution:

33. The adjacent angles of a rhombus are in the ratio of 3 : 6. The smallest angle of the rhombus is: [RRB NTPC 28/12/2020 (Morning)]

Correct Answer: (d) 60°
Solution:

34. The radius of the circumcircle of an equilateral triangle of √3 unit side, is: [RRB NTPC 28/12/2020 (Evening) ]

Correct Answer: (d) 1 unit
Solution:

35. ABCD is a parallelogram. Side BC is produced to E such that BC = CE. Join AE which intersects the side CD at P. The areas of triangle ABE is [RRB NTPC 28/12/2020 (Evening) ]

Correct Answer: (c) = to the area of parallelogram ABCD
Solution:

36. ABCD is a square. X is the midpoint of AB. Y is a point on BC such that BY = 1/3 BC. if the area of ∆BXY is equal to 300 cm², find length of diagonal AC. [RRB NTPC 29/12/2020 (Morning) ]

Correct Answer: (b) 60 √2
Solution:

37. The side of an equilateral triangle ABC is 28 cm. Find the side of another equilateral triangle PQR whose area is 16 times the area of triangle ABC. [RRB NTPC 29/12/2020 (Morning) ]

Correct Answer: (c) 112 cm
Solution:

38. In the given figure, PO and OQ are the radius of the circumcircle of ∆APQ if <PAQ = 38° then <PQO will be [RRB NTPC 29/12/2020 (Evening) ]

Correct Answer: (c) 52°
Solution:

39. In the given figure, value of X is [RRB NTPC 30/12/2020 (Morning) ]

Correct Answer: (b) 60°
Solution:

40. Triangle ABC is an isosceles triangle in which ∠C = 90°. If AC = 8 cm, find AB. [RRB NTPC 30/12/2020 (Evening)]

Correct Answer: (d) 8√2 cm
Solution: