Special Quant Quiz (advance math) SSC CGL Tier-II 2016

Q1. The length of the perpendiculars drawn from a point in the interior of an equilateral triangle are 7, 8 and 9 cm, what is the radius of a circle circumscribe on equilateral triangle  
(a) 18 cm
(b) 16 cm
(c) 24 cm
(d) 14 cm


Q2. Two parallel chords of a circle drawn in the same side of centre of 24 cm and 10 cm. If the distance between them is 7 cm, then the length of the radius is?  
(a) 17 cm
(b)18 cm
(c) 16 cm
(d) 13 cm

Q3. AB and CD are two chords drawn in opposite sides of the centre O of a circle. The distance of AB and CD from the centre are OP and OQ respectively. If AB = 4 cm, CD = 6 cm then relation between OP and OQ is  
(a) OP > OQ
(b) OP < OQ
(c) OP = OQ
(d) OP : OQ = 2 : 1

Q6. D is a point on side AC of ∆ABC. If points P, Q, X and Y are mid-point of AB, BC, AD and DC respectively. Then PX : QY = 

(a) 1 : 2 

(b) 1 : 1 

(c) 2 : 1 

(d) 2 : 3  

Q7. Two tangents QA & QB have been drawn from point Q to a circle, where ∠AQB = 80°. Find ∠APB. Where P is point on circumference of circle

(a) 50°

(b) 60° 

(c) 70°

(d) 48°

Q8. In a triangle, sides are in A.P and biggest angle is twice of smallest then the ratio of sides are  

(a) 3 : 4 : 5

(b) 4 : 5 : 6 

(c) 2 : 4 : 5 

(d) 7 : 8 : 9 

Q11. A contractor wants to setup two sliders in a park for the children. For children below 5 years he wants to setup such a slider which is inclined at 30° with the ground and the top is at 1.5 m height. For children above 5 years he wants to set up such a slider which top is at 3 m height and inclination is 60° with the ground. Find the length of the bigger slider. 

(a) 1√3 m 

(b) 3√3 m 

(c) 4√3 m 

(d) 2√3 m 

Q12. If each side of a tetrahedron is 12 cm long then the volume of tetrahedron will be -  

(a) 144√2 cu. cm 

(b) 72√2 cu. cm 

(c) 8√2 cu. cm 

(d) 12 √2 cu. cm 

Q15. The position of a revolving line when it has revolved 1520° in  

(a) First quadrant 

(b) Second quadrant

(c) Third quadrant 

(d) Fourth quadrant