Geometry (Railway Maths) (Part – IV)

Total Questions: 50

1. What is the measure of each interior angle of a regular octagon? [Group D 28/09/2022 (Morning)]

Correct Answer: (c) 135°
Solution:

Octagon has 8 sides Exterior angle = 360/8 = 45°
Interior angle = 180° - 45° = 135°

2. If the measures of the angles of a quadrilateral taken in order are in the ratio 1 : 3 : 1 : 3, then the quadrilateral is a: [Group D 28/09/2022 (Evening)]

Correct Answer: (c) parallelogram
Solution:

3. In ΔABC and ΔDEF, if AB = DE, AC = EF and BC = DF, then which of the following is true based on SSS theorem? [Group D 29/09/2022 (Morning)]

Correct Answer: (a) ΔABC ≅ ΔEDF
Solution:

4. The length of each side of a rhombus is 20 cm, and the length of one of its diagonal is 30 cm. Find the length (in cm) of its other diagonal. [Group D 29/09/2022 (Morning)]

Correct Answer: (b) 10√7
Solution:

5. Straight line FB is parallel to straight line GD. A is a point on straight line FB and C is a point on straight line GD. E is a point between FB and GD such that <BAE = 118° and <DCE = 112°. What is the measure of 1/2 <AEC? [Group D 29/09/2022 (Afternoon) ]

Correct Answer: (b) 65°
Solution:

6. ΔABC ～ΔQPR and (area of ΔABC): (area of Δ PQR) 3 : 2 . If AB = 12 cm , BC = 10 cm, and AC = 9 cm , then the length of QR (in cm) is : [Group D 30/09/2022 (Afternoon) ]

Correct Answer: (b) 3√6
Solution:

7. Find the answer of given question? [Group D 30/09/2022 (Afternoon) ]

Correct Answer: (b) 105°
Solution:

8. In a parallelogram ABCD, if m <A = (3x + 16)° and m < B = (2x + 24)°, then find m<C. [Group D 30/09/2022 (Evening) ]

Correct Answer: (c) 100°
Solution:

9. Find the answer of given question? [Group D 06/10/2022 (Morning) ]

Correct Answer: (d) 5.6 cm
Solution:

10. MNOP is a quadrilateral in which each of its angles is a right angle. Side MN equals side PO and side MP equals side NO and its both diagonals do not intersect at 90°. What type of quadrilateral is MNOP? [Group D 06/10/2022 (Afternoon)]

Correct Answer: (b) Rectangle
Solution: