Geometry (Railway Maths) (Part – V)

Total Questions: 50

11. In ΔPQR, QR is extended up to S, so that RS = RP. If ∠RPQ = 55° and ∠PRS = 110°, then find the measure of ∠PQS. [RRB NTPC 12/01/2021 (Evening)]

Correct Answer: (a) 55°
Solution:

12. The length of a tangent drawn to a circle of radius 4 cm from a point 5 cm away from the center of the circle is: [RRB NTPC 12/01/2021 (Evening)]

Correct Answer: (d) 3 cm
Solution:

13. In ΔXYZ, XY = 12 cm and YZ = 18 cm. XW, the angle bisector of ∠YXZ, meets YZ at W, such that YW : WZ = 4 : 5. Find the length of the third side of the triangle. [RRB NTPC 17/01/2021 (Morning)]

Correct Answer: (b) 15 cm
Solution:

14. In ΔPQR, QR is extended up to S so that RS = RP. If ∠PRQ = 70° and ∠QPS = 110°, then find the measure of ∠PQS. [RRB NTPC 17/01/2021 (Morning)]

Correct Answer: (b) 35°
Solution:

15. ABC is an equilateral triangle and O is a circumcentre. If the side of the triangle is 6 cm, then the ∠BOC is: [RRB NTPC 17/01/2021 (Evening)]

Correct Answer: (d) 120°
Solution:

16. If ΔABC is right-angled at C, CD ⟂ AB and ∠A = 55°, then ∠ACD = ? [RRB NTPC 21/01/2021 (Evening)]

Correct Answer: (a) 35°
Solution:

17. In ΔABC, DE ∥ BC in such a way that A – D – B and A – E – C. If m∠ACB = 40°, then m∠DAE + m∠ADE = ______. [RRB NTPC 21/01/2021 (Evening)]

Correct Answer: (d) 140°
Solution:

18. If SA and SB are tangents to a circle from an outside point S, such that SA = 12 cm and ∠ASB = 60°, what will be the length of chord AB be? [RRB NTPC 22/01/2021 (Morning)]

Correct Answer: (a) 12 cm
Solution:

19. The adjacent sides of a parallelogram are 4a and 3a. If the angle between them is 60°, then one of the diagonals of the parallelogram will be: [RRB NTPC 23/01/2021 (Evening)]

Correct Answer: (a) √13a
Solution:

20. The ratio of the numbers of sides of two regular polygons is 1 : 2. If each interior angle of the first polygon is 140°, then the measure of each interior angle of the second polygon is? [RRB NTPC 25/01/2021 (Evening) ]

Correct Answer: (d) 160°
Solution: