Geometry (Railway Maths) (Part – VII)

Total Questions: 47

31. Find the answer of given question? [RRB ALP 09/08/2018 (Morning) ]

Correct Answer: (c) 4 cm
Solution:

32. To draw a pair of tangents to a circle which are inclined to each other at an angle of 75°, it is required to draw tangents at the end points of those two radii of the circle, the angle between whom is [RRB ALP 09/08/2018 (Afternoon)]

Correct Answer: (a) 105°
Solution:

33. What will be the acute angle between the hour-hand and the minute-hand at 4:37 p.m. ? [RRB ALP 10/08/2018 (Morning)]

Correct Answer: (b) 83.5°
Solution:

34. In ∆ABC, AB = 8 cm. ∠A is bisected internally to intersect BC at D. BD = 6 cm and DC = 7.5 cm. What is the length of CA? [RRB ALP 10/08/2018 (Evening)]

Correct Answer: (c) 10 cm
Solution:

35. If ABCD is a trapezium, AC and BD are the diagonals intersecting each other at point O. Then AC : BD is [RRB ALP 10/08/2018 (Evening) ]

Correct Answer: (d) AO-OC : OB-OD
Solution:

36. In a triangle ABC, right angled at B, BC = 15cm, and AB = 8cm. A circle is inscribed in triangle ABC. Then the radius of the circle is: [RRB ALP 13/08/2018 (Evening) ]

Correct Answer: (c) 3 cm
Solution:

37. ABC is an equilateral triangle of side 6cm. If a circle of radius 1 cm is moving inside and along the sides of the triangle, then the locus of the centre of the circle is an equilateral triangle of side is: [RRB ALP 14/08/2018 (Evening) ]

Correct Answer: (b) (6-2√3) cm
Solution:

38. Find the length of a transverse common tangent of the two circles whose radii are 3.5cm, 4.5cm and the distance between their centres is 10cm. [RRB ALP 17/08/2018 (Afternoon) ]

Correct Answer: (d) 6 cm
Solution:

39. The number of diagonals in a pentadecagon is: [RRB ALP 17/08/2018 (Afternoon) ]

Correct Answer: (b) 90
Solution:

40. If tangents PA and PB from a point P to a circle with centre O are inclined to each other at an angle of 110° then the angle POA is: [RRB ALP 20/08/2018 (Evening) ]

Correct Answer: (b) 35°
Solution: