MISSION CGL MAINS 2015 : Advanced Quant Quiz

1.Two chords AB And CD of circle whose centre is O, meet at the point P and ∠ AOC = 500, ∠ BOD = 400. Then the value of ∠ BPD is
(1) 600
(2) 400
(3) 450
(4) 750



2.A straight line parallel to the base BC of the triangle ABC intersects AB and AC at the points D and E respectively. If the area of the ∆ABE be 36 sq.cm, then the area of the ∆ACD is
(1) 18 sq. cm
(2) 36 sq.cm
(3) 18 cm
(4) 36 cm
3.Two equal circles of radius 4 cm intersect each other such that each passes through the centre of the other. The length of the common chord is :
(1) 2√3 cm
(2) 4√3 cm
(3) 2√2 cm
(4) 8 cm
4.One chord of a circle is known to be 10.1 cm. The radius of this circle must be :
(1) 5 cm
(2) greater than 5 cm
(3) greater than or equal to 5 cm
(4) less than 5 cm
5.In ∆ABC, ∠BAC = 900 and Ab = 1/2 BC. Then the measure of ∠ACB is :
(1) 600
(2) 300
(3) 450
(4) 150
6.ABCD is a cyclic parallelogram. The angle ∠B is equal to :
(1) 300
(2) 600
(3) 450
(4) 900
7.Each interior angle of a regular polygon is three times its exterior angle, then the number of sides of the regular polygon is :
(1) 9
(2) 8
(3) 10
(4) 7
8.From four corners of a square sheet side 4 cm, four piece, each in the shape of are of a circle with radius 2 cm, are cut out. The area of the remaining portion is :
(1) (8-ԉ) sq. cm.
(2) (16-4ԉ) sq. cm.
(3) (16-8ԉ) sq. cm.
(4) (4-2ԉ) sq. cm.
9.If the measure of each interior angle of a regular polygon be 1440, the number of sides of the polygon is
(1) 10
(2) 20
(3) 24
(4) 36
10.The side AB of a parallelogram ABCD is produced to E in such way that BE = AB. DE intersects BC at Q. The point Q divides BC in the ratio
(1) 1 : 2
(2) 1 : 1
(3) 2 : 3
(4) 2 : 1
 Answers and Solution:


10.(2)

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