# Quantitative Aptitude [Advanced Level] For SSC CGL : 24th December

Q1. Find the radius of the smallest circumcircle possible that subscribes ∆ABC of area 12√3 cm2?
(a) 3
(b) 4
(c) 5
(d) 6

Q2. A wire has been wrapped around three equal circular wheels as shown in the figure. Find the ratio of the perimeters of all the circles to the length of the wire.

Q3. In a parallelogram ABCD, it is given that BC = 34 and AB = 20 then find the minimum number of equilateral triangles that can be drawn inside it ∠B = 120°
(a) 10
(b) 7
(c) 14
(d) 18

Q4. (1 + tan 1°). (1 + tan 2°) (1 + tan 3°) ….(1 + tan 45°) =2n ,n=?
(a) 0
(b) 23
(c) 16
(d) 1

Q5. . In the given figure AC = CB and AB= 2√2(√3-1) . Then find area of triangle
ABC = ?

(a) 2
(b) 4
(c)7(√3+1)/√2
(d) 6

Q6. There is a rectangular hut of dimension 14 × 7 cm² in the middle of the field. A horse has been tied up at one corner of the hut and it has been grazing around the hut. Find the area (in cm2) the horse can graze if the length of the rope is 14 cm.
(a) 500.5
(b) 525.5
(c) 777.5
(d) 420.5

Q7. Diagonals of a cyclic quadrilateral ABCD cut each other at point P and length of sides AP = 24cm, BP =6 cm, BD = 22 cm then find the length of AC = ?
(a) 28
(b) 30
(c) 4
(d) 22

Q8. Solutions of eqn. 2 sin⁴ x + cos⁴ x = 1 (given I= integer)

Q9. A, B, C, D are angles of cyclic quad. Then, cos A + cos B + cos C + cos D =
(a) 4
(b) 1
(c) 0
(d) –1

Q10.

#### Solutions:

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