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.In a triangle ABC, AD is the angle bisector of ∠BAC and ∠BAD = 60°. What is the length of AD?
Q2. In the given figure, BC = CD and ∠ABC – ∠BAC = 30°. Find ∠ABD?Q3. In the given figure, ∠ONY = 50° and ∠OMY = 15°. Then the value of the ∠MON is :- (Where O is centre of the circle).
Q4. A polygon has 12 sides, then find the total no. of diagonals of the polygon?
(a) 12
(b) 24
(c) 36
(d) 54
Q5. AB is a diameter of the circum-circle of ∆APB, AP = 8 cm, BP = 6 cm and PN ⊥ AB then PN = ?
(a) 5 cm
(b) 4.8 cm
(c) 6 cm
Q6. In the adjoining figure ‘O’ is the centre of the circle ∠OAC = 18° and ∠OBC = 32°. What is the value of ∠AOB = ?
Q7. ABCD is a cyclic parallelogram. The angle ∠B is equal to:
(a) 30°
(b) 60°
(c) 45°
(d) 90°
Q8. 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°
Q9. 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°
Q10. Two equal circle pass through each other’s centre. If the radius of each circle is 5 cm, what is the length of the common chord?
Q11. 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
Q13. Radii of two circles are 6.3 cm and 3.6 cm. If they touch each other internally, then the distance between their centers is
(a) 9.1 cm
(b) 2.7 cm
(c) 3.7 cm
(d) 10.1 cm
Q14. Two circles touch internally at a point P and from a point T common tangents at P are drawn, the tangent segments TQ, TR are drawn to the two circles then:
Q15. In the given figure, PAB is a secant and PT is a tangent to the circle from P. If PT = 5 cm, PA = 4 cm and AB = x cm, then x is
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