Geometry (Railway Maths) (Part – V)

Total Questions: 50

1. In the given figure, BC II DE, find the value of x. [RRB NTPC 09/01/2021 (Morning) ]

Correct Answer: (a) 84
Solution:

2. The length of a rectangle is 2 m less than thrice its breadth. If its perimeter is 28 m, find its breadth. [RRB NTPC 09/01/2021 (Morning)]

Correct Answer: (a) 4 m
Solution:

3. The base of a right-angled triangle is 12 cm and the difference between the other two sides is 6 cm. What will be the perimeter of the triangle? [RRB NTPC 09/01/2021 (Evening)]

Correct Answer: (a) 36 cm
Solution:

4. Length of the three sides of ΔABC are 6 cm, 4 cm and 9 cm. Another ΔDEF with one side equal to 36 cm is similar to ΔABC. What is the greatest possible perimeter of ΔDEF? [RRB NTPC 10/01/2021 (Morning)]

Correct Answer: (b) 171 cm
Solution:

5. Line ABC is a tangent to a circle at B. If BP = BQ and <QBC = 72° then <PBQ is: [RRB NTPC 10/01/2021 (Morning) ]

Correct Answer: (d) 36°
Solution:

6. PT is tangent drawn from P, given outside the circle with centre O touching the circle at Q . If PQ= 30 cm and the diameter of the circle is 32 cm, then what is the length of OP? [RRB NTPC 10/01/2021 (Evening) ]

Correct Answer: (b) 34 cm
Solution:

7. The base BC of triangle ABC is divided at D such that BD = half of DC. The area of triangle ABC is ____ times the area of triangle ADC. [RRB NTPC 10/01/2021 (Evening) ]

Correct Answer: (b) 3/2
Solution:

8. In the given figure O is the centre of the circle. If <PAB = 35°, then find <ARS. [RRB NTPC 11/01/2021 (Evening) ]

Correct Answer: (a) 125°
Solution:

9. In ΔABC, ∠BAC = 60° and O is a point inside ΔABC. If ∠OBC is two times ∠OBA and ∠OCB is two times ∠OCA. then what will be the measure of ∠BOC? [RRB NTPC 12/01/2021 (Morning)]

Correct Answer: (d) 100°
Solution:

10. PQ is the diameter of a circle whose centre is O. If a point R lies on the circle and ∠RPO = 39°, then what will be the measure of ∠RQP? [RRB NTPC 12/01/2021 (Morning)]

Correct Answer: (a) 51°
Solution: