Geometry (Railway Maths) (Part – VI)

Total Questions: 50

21. ABCD is a parallelogram in which ∠A = x + 20° and ∠C = 3x - 10°. The value of x is __________ [RRB NTPC 05/03/2021 (Evening)]

Correct Answer: (a) 15°
Solution:

Angle A will be equal to the angle C , both are opposite angles of a parallelogram x + 20° = 3x - 10° ⇒ 2x = 30° ⇒ x = 15°

22. Find the answer of given question? [RRB NTPC 07/03/2021 (Morning)]

Correct Answer: (a) 16
Solution:

23. Two intersecting circles are said to be orthogonal if the angle between them is a/an __________. [RRB NTPC 07/03/2021 (Morning)]

Correct Answer: (d) right angle
Solution:

Two intersecting circles are said to be orthogonal if the angle between them is a right angle.

24. If the length of the diagonals of a rhombus are 32 cm and 24 cm, then the length of each side of the rhombus will be: [RRB NTPC 08/03/2021 (Morning)]

Correct Answer: (b) 20 cm
Solution:

25. The circumference of a circle is equal to the perimeter of an equilateral triangle. If the radius of the circle is 21 cm, what is the length of the side of the equilateral triangle? [RRB NTPC 08/03/2021 (Evening) ]

Correct Answer: (a) 44 cm
Solution:

26. The sum of the angles of the various sections in a pie diagram is: [RRB NTPC 09/03/2021 (Morning) ]

Correct Answer: (b) 360⁰
Solution:

The sum of the angles of the various sections in a pie diagram is = 360°

27. In given figure, if BP II CQ and AC = BC, then the measure of x is: [RRB NTPC 11/03/2021 (Morning) ]

Correct Answer: (d) 30⁰
Solution:

28. The diagonals of a quadrilateral ABCD bisect each other. In this quadrilateral, if ∠A = 45° then ∠B = ? [RRB NTPC 11/03/2021 (Morning)]

Correct Answer: (b) 135°
Solution:

<A + <B = 180°
<B = 180° - 45° = 135°

29. In rhombus ABCD, the diagonals intersect at point E. IF ∠ECB = 5a + 4 and ∠EBC = 4a + 5. Find ∠EBC. [RRB NTPC 11/03/2021 (Evening)]

Correct Answer: (b) 41°
Solution:

30. A point is 13 cm from the center of a circle. The length of the tangent drawn from P to the circle is 12 cm. Find the radius of the circle. [RRB NTPC 12/03/2021 (Evening)]

Correct Answer: (a) 5 cm
Solution: