Geometry (Railway Maths) (Part – VII)

Total Questions: 47

1. Find the answer of given question? [RRB NTPC 23/07/2021 (Morning) ]

Correct Answer: (b) 20 cm
Solution:

2. Find the answer of given question? [RRB NTPC 24/07/2021 (Evening) ]

Correct Answer: (d) 50⁰
Solution:

3. In the given figure, the three parallel lines are cut through by a transversal. Of the marked angles, the greater two are of equal measure. The ratio of a greater angle to the smaller angle is 7:3. What is the measure of the greater angle? [RRB NTPC 24/07/2021 (Evening) ]

Correct Answer: (a) 126⁰
Solution:


Here from the given three angles the greater two angles x = z
Then x/y = z/y = 7/3 ;
Again from the given diagram we can get x + y = 180°
i.e. (7 + 3) = 10 units equivalent to = 180°
Then the measure of the greater angle = 180° × 7/10 = 126°

4. The angle of a sector is 30°. If its radius is 42cm, then the length of the arc of the sector is : [RRB NTPC 26/07/2021 (Morning) ]

Correct Answer: (c) 22 cm
Solution:

5. In the given figure, if PB = 20 cm and OA = 15 cm, then find the shortest distance between the circle and P. [RRB NTPC 26/07/2021 (Morning) ]

Correct Answer: (d) 10 cm
Solution:

6. The number of non-congruent acute isosceles triangles in which one angle is 4 times another angle is: [RRB NTPC 26/07/2021 (Evening)]

Correct Answer: (b) 1
Solution:

7. The lengths of the two shorter sides of a right triangle are 7 cm and 24 cm. What is the length of the circumradius of this triangle? [RRB NTPC 26/07/2021 (Evening)]

Correct Answer: (a) 12.5 cm
Solution:

8. A, B and C are three points on a circle such that angles subtended by the chords AB and AC at the centre O are 90° and 110° respectively and <BAO then <BAC = ? [RRB NTPC 26/07/2021 (Evening) ]

Correct Answer: (a) 80°
Solution:

9. The two sides containing the right angle in a right -angled triangle are 8 cm and 15 cm respectively. What is the length of the hypotenuse? [RRB NTPC 26/07/2021 (Evening) ]

Correct Answer: (d) 17 cm
Solution:

10. In a ∆ABC, if ∠A + ∠B = 110° and ∠B - ∠A = 10°, then which of the following statements holds true for the triangle? [RRB NTPC 31/07/2021 (Morning)]

Correct Answer: (b) AB is the longest side and BC is the shortest side.
Solution: