Quant Quiz “Advance” for SSC CGL 2016

1.   A polygon has 54 diagonals. The number of sides in the polygon is :
(a) 7                                               
(b) 9
(c) 12                                             
(d) None of these

2.  The sum of all the interior angles of a regular polygon is four times the sum of its exterior angles. The polygon is :
(a) hexagon                                
(b) triangle
(c) decagon                                
(d) nonagon

3.  O is the centre of a circle and arc ABC subtends an angle of 130° at O. AB is extended to P. Then angle PBC is:
(a) 75°                                           
(b) 70°
(c) 65°                                          
(d) 80°

4.   AB and BC are two chords of a circle with centre O. If P and Q are the mid-points of AB and BC respectively, then the quadrilateral OQBP must be
(a) a rhombus                            
(b) concyclic
(c) a rectangle                           
(d) a square

6.   O is the circum centre of the triangle ABC with circumradius 13 cm. BC = 24 cm and OD is perpendicular to BC. Then the length of OD is.
(a) 7 cm                                        
(b) 3 cm
(c) 4 cm                                        
(d) 5 cm

8.   P is point outside a circle and is 13 cm away from its centre. A secant drawn from the point P intersects the circle at points A and B in such a way that PA = 9 cm and AB = 7 cm. The radius of the circle is :
(a) 5.5 cm                                    
(b) 5 cm
(c) 4 cm                                        
(d) 4.5 cm

10.  N is the foot of the perpendicular from a point P of a circle with radius 7 cm, on a diameter AB of the circle. If the length of the chord PB is 12 cm, the distance of the point N from the point B is
(a) 6(5/7)cm                                      
(b) 12(2/7)cm

(c) 3(5/7)cm                                     
(d) 10(2/7)cm

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