Quantitative Aptitude [Advanced Level] For SSC CGL : 12th December

Q1. A tangent of length 40 cm has been drawn from a point P on circle C. The minimum distance between the point P and circle is 32 cm. Find the radius (in cm) of the circle.
(a) 12
(b) 22
(c) 9
(d) 7

Q2. Perimeter of a rectangular park is given as 72 m. Find the length of the park such that the area of the park will be maximum.
(a) 24 m
(b) 18 m
(c) 16 m
(d) 30 m

Q3. In the given figure, PQ and PR are two tangents to the circle whose centre is O. If ∠QPR = 40°, find ∠QSR.

(a) 90°
(b) 20°
(c) 70°
(d) 50°

Q4. cos A + cos² A = 1 & a sin¹² A + b sin¹⁰ A + C sin⁸ A + dsin6 A =1 then find,
(a) 4
(b) 1
(c) 3
(d) 6

Q5. The two sides of a trapezium ABCD are given as AB 6 cm and CD = 8 cm. A circum-circle of radius 5 is drawn in such a way that the two opposite sides are not on same side of the centre. If AB ∥ CD, then find the area (in cm2) of the given trapezium ABCD.
(a) 48
(b) 49
(c) 72
(d) 50

Q6. In ∆ABC AB ≠ BC ≠ CA. Medians AD, BE, CF cut each other at point O. Find the area of AEODB.
(a)⅔ ABC
(b) ⅓ ABC
(c)½ ABC
(d) ¾ ABC

Q7. In ∆ABC, ∠B = 90° and DE = DC. Find EC = ?

(a) 16 cm
(b) 25 cm
(c) 32 cm
(d) 18 cm


Q10. In a regular hexagonal park ABCDEF, two towers are at B and D and angle of elevation to them from A are 60° and 30° respectively. Find ratio of height of tower at B to height of tower at D.

Solutions:

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