Quantitative Aptitude [Advanced Level] For SSC CGL : 31st December

Q1. In a right circular cone the radius of its base is 6 cm and its height is 14 cm. A cross section is made through the mid-point of the height parallel to the base. The volume of the lower portion is?
(a) 528 cm3
(b) 366 cm3
(c) 498 cm3
(d) 462 cm3

Q2. In the figure given above, AD is a straight line, OP perpendicular to AD and O is the center of both the 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

Q3. In the figure given below, from a point T, 13 cm away from the centre O of a circle of radius 5 cm, tangents PT and QT are drawn. What is the length of AB ?

Q4. If A  upto 20 terms, then what is the value of A ?
(a) 379/308
(b) 171/140
(c) 379/310
(d) 420/341

Q5. If (3³³ + 3³³ + 3³³) (2³³ + 2³³) =, then what is the value of x?
(a) 34
(b) 35
(c) 33
(d) 33.5

Q6. A = (x⁸ – 1)/(x⁴ + 1)and B = (y⁴ – 1)/(y² + 1). If x = 2 and y = 9, then what is the value of A² + 2AB + AB²?
(a) 96475
(b) 98625
(c) 92425
(d) 89125

Q7. If x² – 4x + 1 = 0, then what is the value of x⁹ + x⁷ – 194x⁵ – 194x³?
(a) 4
(b) – 4
(c) 1
(d) – 1

Q10.
(a) 30°
(b) 45°
(c) 60°
(d) 75°

Solutions:

S10. Ans. (b)
Sol.
Put θ = 0° & ϕ = 45°
(1 + 0) (1 + 1) = 2
θ + ϕ = 45°

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