Quantitative Aptitude [Advanced Level] For SSC CGL : 1st January

Q1. If zeroes of polynomials f(x) = k²x² – 17x + k + 2, (k > 0) are reciprocal to each other, then value of ‘k’ is
(a) 2
(b) –1
(c) –2
(d) 1

Q2. Which of the following statement(s) is/are TRUE?

(a) Only I
(b) Only II
(c) Neither I nor II
(d) Both I and II

Q3. If then the value of
(a) 0
(b) 2
(c) 3
(d) 4

(a) 16
(b) 20
(c) 10
(d) 5

Q6. In the given figure, OX, OY and OZ are perpendicular bisectors of the three sides of the triangle. If ∠QPR = 65° and ∠PQR = 60°, then what is the value (in degrees) of∠QOR + ∠POR?

(a) 250
(b) 180
(c) 210
(d) 125

Q7. In the figure given below, AD is a straight line, OP perpendicular to AD and O is the centre of both circles. If OA = 20 cm, OB = 15 cm and OP = 12 cm, then what is AB equal to ?

(a) 7 cm
(b) 8 cm
(c) 10 cm
(d) 12 cm

Q8. In the figure given below, O is the centre of a circle circumscribing a quadrilateral ABCD. If AB = BC and ∠BAC = 40°, then what is ∠ADC equal to ?

(a) 50°
(b) 60°
(c) 70°
(d) 80°

Q9. In the figure given below, YAX is a tangent to the circle with centre O. If ∠BAX = 70° and ∠BAQ = 40°, then what is ∠ABQ equal to ?

(a) 20°
(b) 30°
(c) 35°
(d) 40°

Q10. In the figure given below, PT is a tangent to a circle of radius 6 cm. If P is at a distance of 10 cm from the centre O and PB = 5 cm, then what is the length of the chord BC ?

(a) 7.8 cm
(b) 8 cm
(c) 8.4 cm
(d) 9 cm