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## Friday, April 22, 2016

### QUANT QUIZ-19 BASED ON GEOMETRY

MATH TEST-30: GEOMETRY
1. In a circle with centre O, AOC is a diameter of the circle, BD is a chord and OB and CD are joined. If AOB = 130o, then BDC =?
a. 25
b. 30
c. 50
d. 45

2. If in a triangle ABC, BE and CF are two medians perpendicular to each other and if AB = 19 cm and AC = 22 cm, then length of BC is:
a. 19.5 cm
b. 26 cm
c. 20.5 cm
d. 13 cm

3. The ratio of interior angle to exterior angle of a regular polygon is 5:1. The number of sides of polygon is:
a. 10
b11
c.12
d.14

4. A straight line parallel to BC of  intersects AB and AC at points P and Q respectively. AP = QC, PB = 4 units and AQ = 9, than the length of AP is:
a. 25 unit
b. 30 unit
c. 6 unit
d. 6.5 unit

5. AC is the diameter of a circumcircle of  Chord ED is parallel to the diameter AC. If CBE = 50, then DEC is:
a. 50
b. 90
c.40
d. 55

6. Two chords AB and CD of circle whose centre is O, meet at the point P and AOC = 50, BOD = 40.then the value of CPD :
a. 60
b. 40
c. 45
d. 75

7. ABC and DBC are made on same base BC on opposite sides. The line joining vertices A and D intersect BC at O. Then the ratio of  areas of  and  DBC will be:
a. OB : OC
b. AO : OD
c. AB : CD
d. AC : BD

8. In the Adjoining figure AD, AE and BC are tangents to the circle at D, E,F respectively, then :

c. AD = ½ (AB+ BC+AC)

9. If O is the centre of a circle of radius r and AB is a chord of the circle at a distance r/2 from O, then BAO is:
a. 15
b. 30
c. 45
d. 60

10. The tangents are drawn at the extremities of a diameter AB of a circle with centre P. If a tangent to the circle at the point C intersects the other two tangents at Q and R, then the measure of the QPR =
a. 45
b. 60
c. 90
d. 180