Quantitative Aptitude Geometry

SSC CGL 

Q1. In the given figure AM = AD, ∠B = 63° and CD is an angle bisector of ∠C, then 2∠MAC = ?

(a) 54°
(b) 74°
(c) 126°
(d) 63°

Q2. The ratio between the number of sides of two regular polygons is 1 : 2 and the ratio between there interior angle is 2 : 3. The number of sides of these polygons is respectively.
(a) 6, 12
(b) 5, 10
(c) 4, 8
(d) 7, 14

Q3. Two light rods AB = a +b, CD = a –b are symmetrically parallel. The perpendicular distance between rods is a. The length of AC is given by –

Q4. One angle of pentagon is . If the remaining angles are in the ratio 1 : 2 : 3 : 4, the difference between second smallest and second-largest.
(a) 150°
(b) 60°
(c) 80°
(d) 40°

Q5. In the figure given below, AB is parallel to CD. ∠ABE = 65°, ∠CDE = 15° and AB = AE. The value of ∠AEF =?

(a) 30°
(b) 35°
(c) 40°
(d) 45°

Q6. In a ∆ABC, three sides are 5 cm, 4 cm and 2cm. Find the length of the median from the smallest angle vertex.

Q7. In the adjoining figure, ∆ABC is an isosceles triangle, with AB = AC and ∠ABC = 50°. Then ∠BDC is

(a) 110°
(b) 90°
(c) 80°
(d) 70°

Q8. In the adjoining figure A, B, C, D are the co-concyclic points. The value of ‘x’ is :

(a) 50°
(b) 60°
(c) 70°
(d) 90°

Q9. ∠A, ∠B, ∠C are three angles of a triangle. If ∠A -∠B =18°, ∠B – ∠C = 45°, then, ∠B, ∠A and ∠C are

Q10. 

Solutions: