Railway RRB NTPC Graduate Level Math Practice Set-2 for CBT

Railway RRB NTPC Graduate Level Math Practice Set-2: The Railway Recruitment Board (RRB) NTPC Graduate Level exam is a highly competitive test, requiring thorough preparation in various subjects, including Mathematics. The Computer-Based Test (CBT) assesses candidates on numerical ability, problem-solving skills, and logical reasoning.

To help aspirants excel in the exam, this Math Practice Set-2 includes a range of carefully selected questions covering important topics such as arithmetic, algebra, geometry, and data interpretation. Practicing these questions will enhance speed, accuracy, and confidence, ensuring a strong performance in the upcoming CBT exam.

Railway RRB NTPC Graduate Level Math Practice Set-2

Here are the MCQs:

Q.1. A kite is flying with a thread of length 296 m, making an angle of elevation of 30° at a point on the hand of a person of height 2 m from the ground. Find the height of the kite from the ground.
a) 250 m
b) 150 m
c) 200 m
d) 300 m

Q.2. From a point Y on the level ground, the angle of elevation of the top of a lamp post is 45°. If the distance of point Y from the foot of the lamp post is 80 m, the height of the lamp post will be:
a) 70 m
b) 80 m
c) 82 m
d) 78 m

Q.3. The angle of elevation of a lamp post changes from 30° to 60° when a person walks 30 m towards it. Find the height of the lamp post.
a) √3 m
b) 5√3 m
c) 15√3 m
d) 3√3 m

Q.4. Find the angle of elevation of a 200√3 m tower’s top from a point 200 m away from its base.
a) 90°
b) 45°
c) 30°
d) 60°

Q.5. An observer 1.5 m tall is 24.5 m away from a 26 m high tower. The angle of elevation of the top of the tower from the eye of the observer is:
a) 60°
b) 30°
c) 45°
d) 75°

Q.6. A solid metallic sphere of radius 12 cm is melted and cast into 27 identical spheres. Find the ratio of the surface area of the original sphere to the total surface area of the smaller spheres thus formed.
a) 3:2
b) 9:4
c) 9:8
d) 3:1

Q.7. If the radius of the base of a right circular cylinder is decreased by 20%, and its height is increased by 125%, then by what percent will its volume increase?

a) 65%
b) 36%
c) 44%
d) 60%

Q.8. In quadrilateral ABCD, AB = 17 cm, BC = 8 cm, CD = 9 cm, AD = 12 cm, and AC = 15 cm. Find the area (in cm²) of quadrilateral ABCD.
a) 114
b) 110
c) 140
d) 144

Q.9. The circumference of the base of a solid right circular cylinder is 136.4 cm, and its height is 50 cm. What is the volume (in cm³) of the cylinder?
(Take π = 22/7)
a) 73997
b) 63426
c) 10571
d) 31713

Q.10. A hollow spherical shell is made of a metal of density 6 g/cm³. Its internal and external radii are 7 cm and 9 cm, respectively. What is the weight (in kg) of the shell?
(Take π = 22/7)
a) 5.456
b) 6.642
c) 4.546
d) 6.462

Q.11. In triangle ABC, AB = 4 cm, BC = 6 cm, and AC = 7 cm. In triangle PQR, QR = 12 cm, and ∠A = 2∠P, ∠B = 2∠Q. Find the length of PQ.
a) 8 cm
b) 12 cm
c) 14 cm
d) 10 cm

Q.12. If a, b, and c are the three sides of a triangle and if a² + b² = c², then which triangle is it?
a) Equilateral triangle
b) Acute-angled triangle but not equilateral triangle
c) Obtuse-angled triangle
d) Right-angled triangle

Q.13. The sides of some triangles are given below. Which of these are right triangles?

1. 7 cm, 24 cm, 25 cm
2. 3 cm, 8 cm, 6 cm
3. 50 cm, 80 cm, 100 cm
4. 17 cm, 15 cm, 8 cm
   a) 2 and 3
   b) 1 and 2
   c) 1 and 4
   d) 1 and 3

Q.14. A tangent drawn from a point P to a circle meets it at point A. Chord AB subtends an angle of 40° at a point on the circumference on the other side of P. Angle PAB will be:
a) 20°
b) 40°
c) 80°
d) 90°

Q.15. What is the use of a ‘Parkar (Compass)’ to make?
a) Rectangle
b) Triangle
c) Circle
d) Straight line

Q.16. The ratio of the heights of Nani and Leelu is 4:3. If Leelu is 1.2 m tall, then what is the height of Nani?
a) 0.9 m
b) 2 m
c) 1.6 m
d) 1.8 m

Q.17. Vishnu spends ₹5000 in buying 12 tables and some chairs. The cost of one table is ₹50, and that of one chair is ₹40. What is the ratio of the number of chairs to the number of tables purchased?
a) 55:4
b) 5:1
c) 5:2
d) 55:6

Q.18. In a bag containing red, green, and pink tokens, the ratio of red to green tokens is 5:12, while the ratio of pink to red tokens is 7:15. What is the ratio of green to pink tokens?
a) 36:7
b) 25:28
c) 12:7
d) 28:25

Q.19. The initial ratio of sugar to flour in a dough was 2:7. To 9 kg of the dough, John added more sugar to make the sugar-to-flour ratio 2:5. How much sugar did John later add?
a) 1.2 kg
b) 750 g
c) 800 g
d) 1 kg

Q.20. The ratio of the areas of a square and a regular hexagon, both inscribed in a circle, is:
a) 2:3
b) 3√3:2
c) 4:3√3
d) 1:√3

Also Read: RRB NTPC 2025 Graduate Level Math Practice Set-1 for CBT

Answers to the Railway RRB NTPC Graduate Level Math Practice Set-2

Here are the answers:

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

The post Railway RRB NTPC Graduate Level Math Practice Set-2 for CBT first appeared on Karmasandhan.