Geometry (Railway Maths) (Part – VII)

Total Questions: 47

11. In the given figure, the measure of <BAC + <OBC is equal to: [RRB NTPC 31/07/2021 (Morning) ]

Correct Answer: (c) 90⁰
Solution:

12. ABCD is a square and Q is a point in its interior such that ∆QAB is equilateral. The measure of <QCB is: [RRB NTPC 31/07/2021 (Morning) ]

Correct Answer: (c) 75⁰
Solution:

13. If a right triangle is right angled at A and AC = 6 ,BC = 10 find the value of tan B × tan C. [RRB JE 26/05/2019 (Afternoon) ]

Correct Answer: (c) 1
Solution:

14. If 'O' is the circumcentre of a triangle ABC and OD is perpendicular to BC, then find <BOD. [RRB JE 27/05/2019 (Afternoon) ]

Correct Answer: (b) <A
Solution:

15. D is a point on BC of ∆ABC where BD = (1/2) DC. Find the ratio of areas of ∆ABD and ∆ABC. [RRB JE 30/05/2019 (Afternoon)]

Correct Answer: (a) 1 : 3
Solution:

16. Area of a field in the shape of a trapezium is 1440 m². The perpendicular distance between the parallel sides is 24 m. The ratio of the parallel sides is 5 : 3. Find the length of the longer parallel side. [RRB JE 30/05/2019 (Evening)]

Correct Answer: (d) 75 m
Solution:

17. In ∆ABC, D and E are points on sides AB and AC respectively such that DE || BC and AD : DB = 3 : 1. If EA = 3.3 cm, then find the value of AC. [RRB JE 01/06/2019 (Afternoon)]

Correct Answer: (c) 4.4 cm
Solution:

18. D, E, F are midpoints of the sides BC, CA, AB of a ∆ABC. If area of ∆ABC is 20 cm², then find the area of the trapezium FBCE. [RRB JE 02/06/2019 (Afternoon)]

Correct Answer: (c) 15 cm²
Solution:

19. In a ∆ABC, ∠B = 90°, AB = 5 cm. Construction of ∆ABC is not possible if BC ~ AC = _____. [RRB JE 02/06/2019 (Afternoon)]

Correct Answer: (c) 6.5 cm
Solution:

20. ∆ABC is similar to ∆PQR, such that their perimeters are 36 and 24 respectively. If PQ = 10, then find AB. [RRB JE 26/06/2019 (Morning)]

Correct Answer: (a) 15
Solution: