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
(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

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