Quant Quiz (Geometry Based on study notes) SSC CGL Tier-II 2016


Q1. Two chords
AB and AC of a circle with centre O, make equal angle with its radius OA. Then   
(a) AB = AC
(b) AB = 2AC
(c) 2AB = AC
(d) 3AB =
2AC

Q2. On the
circumference of a circle with centre O, A, B and C are points such that the
angles subtended by AB and AC at the centre O, are
85°

 and 115°

 respectively. Then ∠BAC

 is –

(a) 160°
(b) 100°
(c) 80°

(d) None of
these  


Q5. The
length of a chord is equal to the length of the radius. Then the angle
subtended by the chord in the major segment of the circle.  
(a) 30°
(b) 45°
(c) 60°
(d) 90°

Q6. OA and
OB are radii of a circle with centre O.
∠AOB=120°

. Tangents drawn at points A and
B meet at point C. If OC divides the circle into two equal parts at point D
then point D divides the side OC in the ratio of

(a) 1 : 2
(b) 1 : 3
(c) 1 : 1
(d)  2 : 3



Q8. In a circle with centre C, PQ and RS are two parallel chords such that PQ = 8 cm and RS = 16 cm. If the chords are in the same side of the centre and distance between them is 4 cm. Find the radius of the circle.  
(a) 3√2 cm 
(b) 3√5 cm 
(c) 4√5 cm 
(d) 5√5 cm  


Q11. Two
chords AB and CD of a circle interest each other at point E such that AE = 2.4
cm, BE = 3.2 cm and CE = 1.6 cm. Then length of DE is
(a) 4.8 cm
(b) 6.4 cm
(c) 1.6 cm
(d) 3.2 cm
 

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