Geometry (Railway Maths) (Part – VI)

Total Questions: 50

11. Which of the following statements is FALSE? [RRB NTPC 22/02/2021 (Evening) ]

Correct Answer: (c) In any triangle, the sum of any two angles of the triangle is greater than the measure of the third angle.
Solution:

In any triangle, the sum of any two angles of the triangle is greater than the measure of the third angle.

12. Which of the following statements is true with respect to a triangle? [RRB NTPC 22/02/2021 (Evening)]

Correct Answer: (b) The sum of medians is less than perimeter
Solution:

The sum of medians is less than the perimeter in a triangle.

13. The perimeter of two similar triangles ∆XYZ and ∆LMN are 48 cm and 32 cm respectively. If LM = 12cm, then what is the length of XY? [RRB NTPC 23/02/2021 (Morning)]

Correct Answer: (a) 18 cm
Solution:

14. The ratio of bases of two triangles is 4 : 5 and that of their area is 8 : 15. What is the ratio of their corresponding altitude? [RRB NTPC 23/02/2021 (Morning)]

Correct Answer: (b) 2 : 3
Solution:

Ratio of bases = 4 : 5 Ratio of Area = 8 : 15
Ratio of altitude = 8/4 : 15/5 ⇒ 2 : 3

15. In a triangle ABC, <B = 90°, <C = 45 and D is the midpoint of AC. If AC = 4 √2 units, then BD is: [RRB NTPC 27/02/2021 (Morning) ]

Correct Answer: (a) 2√2 units
Solution:

16. Read the given statements carefully and decide which option is correct with respect to the statements. [RRB NTPC 27/02/2021 (Morning) ]

 Statements :  
1. In any triangle, the concurrent point of medians is a centroid.
2. In any triangle, the concurrent point of altitudes is an orthocentre.
3. In any triangle, the concurrent point of internal angular bisector is an in-centre.

Correct Answer: (c) All statements 1, 2 and 3 are correct
Solution:

From the given statements it is clear that all the given statements are true.

17. Angles A,B and C of a triangle are in arithmetic progression. M is a point on BC such that AM is perpendicular to BC. What is BM / AB? [RRB NTPC 01/03/2021 (Morning) ]

Correct Answer: (a) 1/2
Solution:

18. A circle of radius 9 cm circumscribed a regular hexagon. The length of the side of the hexagon is: [RRB NTPC 01/03/2021 (Evening)]

Correct Answer: (b) 9 cm
Solution:

Since we know that a circumcircle which is circumscribed a regular hexagon touches its each corner, and from the center to the corner the line drawn is the radius of the circle. Hence it is ultimately an equilateral triangle. So each side will be 9 cm.

19. Find the number of sides of a regular polygon if the measure of each of its exterior angles is 36°. [RRB NTPC 01/03/2021 (Evening)]

Correct Answer: (a) 10
Solution:

Number of sides
= 360 / exterior angle
= 360 / 36 = 10

20. If the angle of a sector in a pie diagram is 135°, then it is equivalent to __________ of the pie diagram. [RRB NTPC 05/03/2021 (Evening)]

Correct Answer: (a) 3/8
Solution:

135/360 = 3/8