Dear Students, SSC has released the notification for CGL 2017. This time again the competition is going to be very stiff. Questions from Quant are asked in Tier-1 and Tier-II as well. Hence, you need to focus on this subject more. The only trick to master Quant is "practice'. So, Practice daily. We are providing topic-wise quant quizzes, solve, learn, succeed.
Q1. Two circles of radii 4 cm and 9 cm respectively touch each other externally at a point and a common tangent touches them the area of a square with one side PQ, is
(a) 97 sq.cm
(b) 194 sq.cm
(c) 72 sq.cm
(d) 144 sq.cm
Q2. N is the foot of the perpendicular from a point P of a circle with radius 7 cm, on a diameter AB of the circle. If the length of the chord PB is 12 cm, the distance of the point N from the point B is
(a) 6 (5/7) cm
(b) 12 (2/7) cm
(c) 3 (5/7) cm
(d) 10 (2/7) cm
Q3. If the orthocenter and the centroid of a triangle are the same, then the triangle is;
(a) Scalene
(b) Right angled
(c) Equilateral
(d) Obtuse angled
Q4. Two circles with radii 25 cm and 9 cm touch each other externally. The length of the direct common tangent is
(a) 34 cm
(b) 30 cm
(c) 36 cm
(d) 32 cm
Q5. 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
Q6. 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°
Q7. In a given circle, the chord PQ is of length 18 cm. AB is the perpendicular bisector of PQ at M. If MB = 3. Find the length of AB
(b) 30 cm
(c) 28 cm
(d) 27 cm
Q8. In below figure O is centre of circle and ∠AOB=110° and ∠AOC = 90°, then ∠BAC will be equal to
(a) 60°
(b) 70°
(c) 80°
(d) 90°
Q9. 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°
Q10. 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
Q11. If I is the incentre of ∆ABC and ∠BIC = 135°, then ∆ABC is
(a) acute angled
(b) equilateral
(c) right angled
(d) obtuse angled
Q12. If the area of the circle in the figure is 36 sq. cm. and ABCD is a square, then the area of ∆ACD, in sq. cm, is
(a) 12π
(b) 36/π
(c) 12
(d) 18
Q13. ABCD is a cyclic quadrilateral. Sides AB and DC, when produced meet at the point P and sides AD and BC, when produced meet at the point Q. IF ∠ADC = 85° and ∠BPC = 40°, then ∠CQD us equal to
(a) 30°
(b) 40°
(c) 55°
(d) 85°
Q14. From a point P, two tangents PA and PB are drawn to a circle with centre O. If OP is equal to diameter of the circle, then ∠APB is
(a) 90°
(b) 30°
(c) 60°
(d) 45°
Q15. Two line segments PQ and RS intersect at X in such a way that XP = XR. If ∠PSX=∠RQX, then one must have
(a) PR = QS
(b) PS = RQ
(c) ∠XSQ=∠XRP
(d) ar(∆PXR)=ar(∆QXS)
Quant Questions of Circles for SSC CGL Exam 2017(Solutions will be updated soon)
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