Geometry (Railway Maths) (Part – III)

Total Questions: 50

1. If an exterior angle of a regular polygon is 40°, then the number of sides in the regular polygon is : [Group - D 01/09/2022 (Evening) ]

Correct Answer: (c) 9
Solution:

2. In Δ ABC, BD ⊥ AC at D and <DBC = 44°. E is a point on BC such that <CAE = 34°. What is the measure of <AEB? [Group D 02/09/2022 (Morning) ]

Correct Answer: (b) 80°
Solution:

3. ABCD is a quadrilateral in which AB || DC, and E and F are the mid points of the diagonals AC and BD, respectively. If AB = 28 cm, BC = 15 cm, DC = 40 cm, and AD = 9 cm, then what is the length (in cm) of EF ? [Group D 02/09/2022 (Afternoon)]

Correct Answer: (d) 6
Solution:

4. In a quadrilateral ABCD, ∠A = 86° and ∠B = 72°. The bisectors of ∠C and ∠D meet at O. What is the measure of ∠DOC ? [Group D 02/09/2022 (Evening)]

Correct Answer: (b) 79°
Solution:

5. AB is parallel to CD. A transversal PQ intersects AB and CD at E and F, respectively, and ∠PEB = 78°. G is a point between AB and CD such that ∠BEG = 18° and ∠GFE = 30°. What is the measure of ∠GEF ? [Group D 02/09/2022 (Evening)]

Correct Answer: (c) 66°
Solution:

6. If the angles (3x − 5)° and 80° form a pair of supplementary angles, then the value of x is: [Group D 02/09/2022 (Morning)]

Correct Answer: (a) 35°
Solution:

7. If ABCD is a rhombus such that ∠ACB = 40°, then ∠ADB is: [Group D 05/09/2022 (Morning)]

Correct Answer: (b) 50°
Solution:

8. The corresponding sides of two similar triangles are in the ratio of 2 : 3. If the area of the smaller triangle is 48 cm², then the area of the bigger triangle is: [Group D 05/09/2022 (Morning)]

Correct Answer: (d) 108 cm²
Solution:

9. The lengths of the diagonals of a rhombus are 16 cm and 12 cm. The length of the side of the rhombus is: [Group D 05/09/2022 (Afternoon)]

Correct Answer: (b) 10 cm
Solution:

10. In a triangle ABC if ∠ABC = 90° and BA = BC, then the angles of A and C respectively are: [Group D 05/09/2022 (Afternoon)]

Correct Answer: (b) 45°, 45°
Solution: