Quantitative Aptitude [Advanced Level] For SSC CGL : 25th December

Q1. cos α + cos β = & sin α + sin β = & θ is AM of α & B. then sin2θ + cos 2θ = ?
(a) 3/5
(b) 4/5
(c) 7/5
(d) 8/5

Q2.

(a) 2
(b) 6
(c) 4
(d) 7

Q3. D is a point on side BC of triangle ABC, while E is a point on AD. Find the ratio AE: ED. If the area of triangle ABC is 150% greater than that of triangle AEC and CD is twice BD.

(a)1 : 1
(b)2 : 1
(c)4 : 3
(d)3 : 2

Q4. A pentagon is formed by drawing an equilateral triangle ABF on the side AB of a square ABCD. A circle is now drawn such that the vertices C, D and F of the pentagon lie on the circumference of the circle. If the side of the square is 8 cm, what is the radius of the circle?
(a) 8√3
(b)8√2
(c)8
(d)4√6

Q5. In ∆ABC, AC = CD, &∠CAB – ∠ABC = 30°. Find ∠BAD.

(a) 15°
(b) 30°
(c) 10°
(d) 45°

Q6. If roots of ax² + bx + b = 0 are in ratio p : q, then
(a) 1
(b) -1
(c) 2
(d) 0

Q7. If the equation x³ – ax² + bx – a = 0 has three real roots then which of the following is true ?
(a) a = 1
(b) a ≠ 1
(c) b = 1
(d) b ≠ 1

Q8. Find minimum value of (a – 2) (a – 9)

Q9.
(a) 0.525
(b) 0.625
(c) 0.785
(d) 0.985

Q10 Area of the hexagon is given as 294√3 cm2. Find the approximate area of the shaded region? (√3= 1.73)

(a) 150 cm2
(b) 180 cm2
(c) 200 cm2
(d) 220 cm2

Solutions:

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