MISSION CGL MAINS 2015 : Advanced Quant Quiz

1.In ∆ ABC, O is the centroid and AD, BE, CF are three medians and the area of ∆ AOE = 15 cm^2 then area of quadrilateral BDOF is

(1) 20 cm^2

(2) 30 cm^2

(3) 40 cm^2

(4) 25 cm^2

2.The radius of two concentric circles are 9 cm and 15 cm. If the chord of the greater circle be a tangent to the smaller circle. Then the length of that chord is 

(1) 24 cm

(2) 12 cm

(3) 30 cm

(4) 18 cm

3.O and C are respectively the orthocenter and circumcentre  of an acute-angled triangle PQR. The points P and O are joined and produced to meet the side QR at S, If ∠PQS = 60⁰ and ∠QCR = 130⁰, then ∠RPS =

(1) 30⁰

(2) 35⁰

(3) 100⁰

(4) 60⁰

4.The length of a chord of a circle is equal to the radius of the circle. The angle which this chord subtends in the major segment of the circle is equal to

(1) 30⁰

(2) 45⁰

(3) 60⁰

(4) 90⁰

5.In ∆ABC, AD is the internal bi-sector of ∠A, meeting the side BC at D. If BD = 5 cm, BC = 7.5 cm, then AB : AC is

(1) 2 : 1

(2) 1 : 2

(3) 4 : 5

(4) 3 : 5

6.Each interior angle of a regular polygon is 144⁰. The number of sides of the polygon is

(1) 8

(2) 9

(3) 10

(4) 11

7.The ratio of the areas of the circumcircle and the incircle of an equilateral triangle is

(1) 2 : 1

(2) 4 : 1

(3) 8 : 1

(4) 3 : 2

8.ABCD is a square. M is the mid-point of AB and N is the mid-point of BC. DM and AN are joined and they meet at O. Then which of the following is correct?

(1) OA : OM = 1 : 2

(2) AN = MD

(3) ∠ADM = ∠ANB

(4) ∠AMD = ∠BAN

9.AB = 8 cm and CD = 6 cm are two parallel chords on the same side of the centre of a circle. The distance between them is 1 cm. The radius of the circle is

(1) 5 cm

(2) 4 cm

(3) 3 cm

(4) 2 cm

10.The circumcentre of a triangle ABC is O. If ∠ BAC = 85⁰ and ∠ BCA = 75⁰, then the value of ∠ OAC is

(1) 40⁰

(2) 60⁰

(3) 70⁰

(4) 90⁰

^{Note : Answers will be updated soon............}