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)