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# Math Questions(Advance) For SSC CGL 2017

Q2. Two circles having radii r units intersect each other in such a way that each of them passes through the centre of the other. Then the length of their common chord is
(a) √2r units
(b) √3r units
(c) √5r units
(d) r units

Q3. The chord of a circle is equal to its radius. The angle subtended by this chord at the minor arc of the circle is
(a) 150°
(b) 60°
(c) 75°
(d) 120°

Q4. In ∆ABC, ∠BAC = 90° and AD⊥BC. If BD = 3 cm and CD = 4 cm, then length of AD is
(a) 2√3 cm
(b) 3.5 cm
(c) 6 cm
(d) 5 cm

Q5. The radii of two concentric circles are 17 cm and 25 cm, a straight line PQRS intersects the larger circle at the points P and S and intersects the smaller circle at the points Q and R. If QR = 16 cm, then the length (in cm.) of PS is
(a) 41
(b) 33
(c) 32
(d) 40

Q6. AB is a diameter of a circle with centre O. The tangents at C meets AB produced at Q. If ∠CAB = 34°, then measure of ∠CBA is
(a) 56°
(b) 68°
(c) 34°
(d) 124°

Q7. Among the angles 30°, 36°, 45°, 50° one angles cannot be an exterior angle of a regular polygon. The angle is
(a) 30°
(b) 36°
(c) 45°
(d) 50°

Q8. In ∆ABC, ∠A + ∠B = 65°, ∠B + ∠C = 140°, then find ∠B.
(a) 40°
(b) 25°
(c) 35°
(d) 20°

Q9. In a triangle ABC, ∠A = 90°, ∠C = 55°, (AD) ̅⊥(BC) ̅. What is the value of ∠BAD>
(a) 35°
(b) 60°
(c) 45°
(d) 55°

Q10. In a regular polygon, the exterior and interior angles are in the ratio 1 : 4. The number of sides of the polygon is
(a) 5
(b) 10
(c) 3
(d) 8

Q11. D is any point on side AC of ∆ABC. If P, Q, X, Y are the mid-point of AB, BC,AD and DC respectively, then the ratio of PX any QY is
(a) 1 : 2
(b) 1 : 1
(c) 2 : 1
(d) 2 : 3

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