Quant Quiz on “Geometry” for SSC CGL 2016


Q1.  ABCD is a cyclic parallelogram. The angle ∠B is equal to:
(a) 30°
(b) 60°
(c) 45°
(d) 90°

Q2. The length of two chords AB and AC of a circle are 8 cm and 6 cm and ∠BAC = 90°, then the radius of circle is
(a) 25 cm
(b) 20 cm
(c) 4 cm
(d) 5 cm

Q3. If a chord of length 16 cm is at a distance of 15 cm from the centre of the circle, then the length of the chord of the same circle which is at a distance of 8 cm from the centre is equal to
(a) 10 cm
(b) 20 cm
(c) 30 cm
(d) 40 cm

Q4. Two circles touch each other externally at point A and PQ is a direct common tangent which touches the circles at P and Q respectively. Then ∠PAQ =?
(a) 45°
(b) 90°
(c) 80°
(d) 100°

Q5. AB is a chord to a circle and PAT is the tangent to the circle at A. If ∠BAT = 75° and ∠BAC = 45°, C being a point on the circle, then ∠ABC is equal to
(a) 40°
(b) 45°
(c) 60°
(d) 70°

Q6. O is the centre of a circle and arc ABC subtends an angle of 130° at O. AB is extended to P. Then ∠PBC is
(a) 75°
(b) 70°
(c) 65°
(d) 80°

Q7. If I is the incentre of ∆ABC and ∠BIC = 135°, then ∆ABC is
(a) acute angled
(b) equilateral
(c) right angled
(d) obtuse angled

Q10. SR is a direct common tangent to the circles of radii 8 cm and 3 cm respectively, their centres being 13 cm apart. If the points S and R are the respective points of contact, then the length of SR is
(a) 12 cm
(b) 11 cm
(c) 17 cm
(d) 10 cm
Q11. PA and PB are two tangents drawn from and external point P to a circle with centre O where the points A and B are the points of contact. The quadrilateral OAPB must be
(a) a rectangle
(b) a rhombus
(c) a square
(d) concyclic
Q12. The length of a chord of a circle is equal to the radius of the circle. The angle which this chord subtends in the major segment of the circle is equal to
(a) 30°
(b) 45°
(c) 60°
(d)90°
Q13. AB = 8 cm and CD = 6 cm are two parallel chords on the same side of the centre of a circle. The distance between them is 1 cm. The radius of the circle is
(a) 5 cm
(b) 4 cm
(c) 3 cm
(d) 2 cm



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