RRB NTPC Geometry Questions with Answers for CBT

RRB NTPC Geometry Questions with Answers for CBT :The Railway Recruitment Board (RRB) NTPC exam includes geometry questions in the Mathematics section of the Computer-Based Test (CBT). These questions check your knowledge of basic geometric concepts like lines, angles, triangles, circles, and polygons.

To score well in this section, you need to practice different types of geometry problems and understand their basic rules and formulas.

Below are some sample RRB NTPC geometry questions with answers to help you prepare better

RRB NTPC Geometry Questions for CBT

Here are the MCQs:

1. In triangle ABC, BC is extended up to D such that CD = AC. If ∠BAD = 109° and ∠ACB = 72°, then what is the value of ∠BAC?

a) 60°
b) 70°
c) 73°
d) 72°

2. The four angles of a quadrilateral are in the ratio 5:6:13:12. What is the measure of the smallest angle?

a) 75°
b) 140°
c) 130°
d) 110°

3. In triangle ABC, AC is extended to point D such that CD = CB. If ∠ACB = 70°, then what is the value of ∠ADB?

a) 45°
b) 50°
c) 30°
d) 35°

4. In a rhombus ABCD, the length of side AB is 4 cm, and ∠BCD = 60°. What is the length of BD?

a) 4 cm
b) 8 cm
c) 2 cm
d) 5 cm

5. In △ABC, if ∠BAC – ∠ABC = 10° and ∠ACB = 50°, then what is the value of ∠ABC?

a) 60°
b) 40°
c) 50°
d) 45°

6. The four angles of a quadrilateral are in the ratio 5:8:10:13. What is the measure of the smallest angle?

a) 45°
b) 35°
c) 55°
d) 50°

7. A rhombus has a side length of 12 cm and a diagonal of 12 cm. What is the length of the other diagonal?

a) 12√3 cm
b) 6√3 cm
c) 24 cm
d) 9√3 cm

8. In a cyclic quadrilateral ABCD, if ∠A = (3x – 25)° and ∠C = (2x + 15)°, and angles A and C are opposite, what is the value of ∠A?

a) 105°
b) 85°
c) 95°
d) 115°

9. In a circle with center O and chord PQ, if point R is on the circle and connected to PQ such that ∠RPO = 39°, what is the value of ∠RQP?

a) 125°
b) 51°
c) 129°
d) 151°

10. A circle has a circumference of 132 cm. How much of the circumference is subtended by a central angle of 135°?

a) 93.5 cm
b) 101.5 cm
c) 92.5 cm
d) 91.5 cm

11. A regular polygon has each of its interior angles equal to 140°. How many sides does the polygon have?

a) 15
b) 18
c) 9
d) 12

12. Two circles have an external common tangent at point X. If P and Q are the points where the common tangent meets both circles, and R and r are their radii, what is the length of (PQ)?

a) 4 Rr
b) 2πRr
c) 3/2 Rr
d) 2Rs

13. If the exterior angle of a regular polygon is 10°, how many sides does the polygon have?

a) 36
b) 63
c) 46
d) 38

14. If the exterior angle of a regular polygon is 150°, then the polygon is:

a) Acute-angled
b) Decagon
c) Quadrilateral
d) Concave

15. Two supplementary angles are in the ratio 4:5. What is the measure of the larger angle?

a) 80°
b) 50°
c) 60°
d) 100°

RRB NTPC Geometry Answers for CBT

Amswers:

1. d
2. a
3. c
4. b
5. d
6. c
7. a
8. a
9. c
10. d
11. c
12. c
13. d
14. a
15. a