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Quantitative Aptitude [Advanced Level] For SSC CGL : 13th December

Q3. Three solid metallic spheres whose radii are in the ratio 3 : 4 : 5 are melted and re-casted into a bigger metallic solid sphere. If the surface area of the new sphere is 2304π cm². Find the radius of smallest sphere ?
(a) 24 cm
(b) 12 cm
(c) 14 cm
(d) 4 cm

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Q4. AB and CD are the parallel sides of a trapezium ABCD with AB = 12 cm & AD = . Also ∠D = 30° & ∠C = 60°. Find the sum of squares of diagonals.
(a) 920
(b) 625
(c) 624
(d) 928

Q5. Given EC is diameter of the circle and is parallel to BD. If ∠A = 50°, then find ∠CBD =?

(a) 25°
(b) 30°
(c) 40°
(d) 65°

(a) 927
(b) 114
(c) 364
(d) 322

Q8. If zeroes of the polynomial f(x) = k²x² – 17x + k + 2, (k > 0) are reciprocal to each other, then value of ‘k’ is
(a) 2
(b) –1
(c) –2
(d) 1

Q9. Find x, y, z such that x + yz = 2, y + xz = 2 & z + xy = 2.
(a) (1, 1, 1)
(b) (-2, -2, -2)
(c) options a & b both
(d) neither option a nor b.

Q10. An ant sitting at one corner of a cuboid shaped room of length 9 mtr, breadth 8 mtr & height 6 mtr. Then find the shortest length (Approx length in m) of the path, which it should follow to reach the diagonally opposite corner of the room.
(a) 19
(b) 22
(c) 17
(d) 15








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