# SSC CGL Quantitative Aptitude : 13th February 2020 for Geometry and Coordinate Geometry

Q1. AD is the internal bisector of of triangle ABC and meets side BC at D. If BD = 5 cm, BC = 7.5 cm than AB : AC is
(a) 2:1
(b) 3 : 1
(c) 1 :3
(d) 2:3

S2. In ΔABC, ∠BCA = 90°, AC = 24 cm and BC = 10 cm. What is the radius (in cm) of the circum-circle of ΔABC?
(a) 12.5
(b) 13
(c) 25
(d) 26

S3. A chord of length 7 cm subtends an angle of 60° at the centre of a circle. What is the radius (in cm) of the circle?
(a) 7√2
(b) 7√3
(c) 7
(d) 14

S4. The distance between the centres of two circles of radius 9 cm and 6 cm is 17 cm. What is the length (in cm) of the transverse common tangent?
(a) 9
(b) 11
(c) 7
(d) 8

S5. The length of the direct common tangent of two circles of radius 8 cm and 3 cm is 12 cm. What is the distance (in cm) between the centres of the circles?
(a) 15
(b) 13
(c) 14
(d) 17

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S6. ΔPQR is a right-angled at Q. If PQ = 8 cm and PR = (QR + 2) cm. What is the value (in cm) of PR?
(a) 17
(b) 15
(c) 19
(d) 18

S7. In the given figure, O is the center of the circle. If ∠POR = 130o, then what is the value (in degree) of ∠S and ∠Q respectively.

(a) 65, 115
(b) 55, 125
(c) 60, 120
(d) 65, 120

S8. ∠PQR is a triangle in which PR = QR. Side PR is extended to S, such that QR = RS. If ∠QPR = 40o, then what is the value (in degrees) of ∠QSR?
(a) 45
(b) 50
(c) 55
(d) 41

S9. If ΔPQR is right angled at Q, PQ = 12 and ∠PRQ = 30°, then what is the value of QR?
(a) 12√3
(b) 12√2
(c) 12
(d) 24

S10. In the given figure, AC and DE are perpendicular to tangent CB. AB passes through center O of the circle whose radius is 20 cm. If AC= 36 cm, what is the length (in cm) of DE ?

(a) 4
(b) 6
(c) 2
(d) 8

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