Dear Readers, Here We are providing a quant Quiz of 15 Circle question in accordance with the syllabus of SSC CGL. Most of these Questions are Previous Year asked in SSC CGL. It will give you implicit idea of Math Question Paper of SSC CGL 2017
Q1. The radii of two concentric circles are 13 cm and 8 cm. AB is a diameter of the bigger circle and BD is a tangent to the smaller circle touching it at D and the bigger circle at E. Point A is joined to D. The length of AD is
(a) 20 cm
(b) 19 cm
(c) 18 cm
(d) 17 cm
Q2. PQ is a chord of length 8 cm of a circle with centre O and radius 5 cm. The tangents at P and Q intersect at a point T. The length of TP is
(a) 20/3 cm
(b) 21/4 cm
(c) 10/3 cm
(d) 15/4 cm
Q3. The maximum number of common tangents drawn to two circles when both the circles touch each other externally is
(a) 1
(b) 2
(c) 3
(d) 0
Q4. I and O are respectively the incentre and circumcentre of a triangle ABC. The line AI produced intersects the circumcircle of ∆ABC at the point D. If ∠ABC=x°, ∠BID = y° and ∠BOD = z°, then (z + x)/y= ?
(a) 3
(b) 1
(c) 2
(d) 4
Q5. The radius of the circumcircle of a right angled triangle is 15 cm and the radius of its in-circle is 6 cm. Find the sides of the triangle.
(a) 30, 40, 41
(b) 18, 24, 30
(c) 30, 24, 25
(d) 24, 36, 30
Q6. If the ∆ABC is right angled at B, find the circumradius if the sides AB and BC are 15 cm and 20 cm respectively.
(a) 25 cm
(b) 20 cm
(c) 15 cm
(d) 12.5 cm
Q7. If the circumradius of an equilateral triangle ABC be 8 cm, then the height of the triangle is
(a) 16 cm
(b) 6 cm
(c) 8 cm
(d) 12 cm
Q8. Triangle PQR circumscribes a circle with centre O and radius r cm such that ∠PQR = 90°. If PQ = 3 cm, QR = 4 cm, then the value of r is:
(a) 2
(b) 1.5
(c) 2.5
(d) 1
Q9. The radius of two concentric circles are 17 cm and 10 cm. A straight line ABCD intersects the larger circle at the point A and D and intersects the smaller circle at the points B and C. If BC = 12 cm, then the length of AD (in cm) is
(a) 20
(b) 24
(c) 30
(d) 34
Q10. P and Q are centre of two circles with radii 9 cm and 2 cm respectively, where PQ = 17 cm, R is the centre of another circle of radius x cm, which touches each of the above two circles externally. If ∠PRQ = 90°, then the value of x is
(a) 4 cm
(b) 6 cm
(c) 7 cm
(d) 8 cm
Q11. Internal bisectors of angles ∠B and ∠C of a triangle ABC meet at O. If ∠BAC = 80°, then the value of ∠BOC is
(a) 120°
(b) 140°
(c) 110°
(d) 130°
Q12. Two chords AB, CD of a circle with centre O intersect each other at P. ∠ADP = 23° and ∠APC = 70°, then the ∠BCD is
(a) 45°
(b) 47°
(c) 57°
(d) 67°
Q13. In a ∆ABC :∠A : ∠B : ∠C = 2 : 3 : 4. A line CD drawn ∥ to AB, then the ∠ACD is
(a) 40°
(b) 60°
(c) 80°
(d) 20°
Q14. In triangle ABC, ∠BAC = 75°, ∠ABC = 45°, ¯BC is produced to D. If ∠ACD = x°, then x/3% of 60° is
(a) 30°
(b) 48°
(c) 15°
(d) 24°
Q15. In a ∆ABC is AB = AC and BA is produced to D such that AC = AD. Then the ∆BCD is
(a) 100°
(b) 60°
(c) 80°
(d) 90°
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