# Quantitative Aptitude [Advanced Level] For SSC CGL : 20th December

Q1. If a  then what is the value of
(a) sec θ
(b) 1
(c) 0
(d) tan θ

Q2. If sin θ cos θ = 1/2, then what is sin⁶ θ + cos⁶ θ equal to?
(a) 1
(b) 2
(c) 3
(d) 1/4

Q3. If sin x + cos x = c then sin⁶ x + cos⁶ x is equal to

Q4. If p = then which of the following is/are correct?
1. p = q = r
2. p² = qr
Select the correct answer using the code given below.
(a) 1 only
(b) 2 only
(c) Both 1 and 2
(d) Neither 1 nor 2

Q5. ABC is a triangle right angled at B and AB : BC = 3 : 4. What is sin A + sin B + sin C equal to?
(a) 2
(b) 11/5
(c) 12/5
(d) 3

Q6.In the figure given below, ABCD is a square in which AO = AX. Then what is ∠XOB ?

(a)22.5°
(b)25°
(c)30°
(d)45°

Q7.

(a) 50°
(b) 60°
(c) 70°
(d) 80°

Q8. Two similar parallelograms have corresponding sides in the ratio 1: k. What is the ratio of their areas?
(a) 1:3k²
(b) 1:4k²
(c) 1∶k²
(d) 1∶2k²

Q9. The middle points of the parallel sides AB and CD of a parallelogram ABCD are P and Q, respectively. If AQ and CP divide the diagonal BD into three parts BX, XY and YD, then which one of the following is correct?
(a) BP = DY
(b) DQ = DY
(c) 3DY = DB
(d) DA = 2AY

Q10. In the given figure, ABCD is a quadrilateral with AB parallel to DC and AD parallel to BC, ADC is a right angle. If the perimeter of the ∆ABE is 6 units & ∠BAE = ∠ABE = 600. What is the area of the quadrilateral ?

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