**Dear Readers, Here We are providing a quant Quiz of 15 Advance math question in accordance with the syllabus of SSC CGL. Most of these Questions are Previous Year asked in SSC CGL. It will give you implicit idea of Math Question Paper of SSC CGL 2017**

**Q1. Two equal circles pass each other from centre. If radius of each circle is 5 cm, therefore, find the length of common chord?**

(a) 5

(b) 5√3

(c) 10√3

(d) (5√3)/2

**Q2. Radius of a circle is 13 cm and xy is a chord which distance from centre is 12 cm. Therefore, length of chord is – **

(a) 15 cm

(b) 12 cm

(c) 10 cm

(d) 20 cm

**Q3. Two circles whose radii are 15 cm and 20 cm and distance between centre is 25 cm, find the length of common chord?**

(a) 20

(b) 24

(c) 25

(d) 15

**Q5. Radius of a circle is 5 cm. Chord of that circle is tangent of another circle of radius 3 cm. If both circles are concentric then find the length of chord.**

(a) 10 cm

(b) 12.5 cm

(c) 8 cm

(d) 7 cm

**Q7. Find the ratio of area of circumcircle and incircle of an equilateral triangle?**

(a) 2 : 1

(b) 4 : 1

(c) 8 : 1

(d) 3 : 2

**Q8. AB = 8 cm and CD = 6 cm are two parallel chords that chords are on the same side of centre. Distance between chord is 1 cm. Therefore, radius of circle is?**

(a) 5 cm

(b) 4 cm

(c) 3 cm

(d) 2 cm

**Q10. If four equal circles which radius is 3 cm touch each other externally, Find the area of covers part of four circle?**

(a) 4 (9 – 𝜋) cm^2

(b) 9 (4 – 𝜋) cm^2

(c) 5 (6 – 𝜋) cm^2

(d) 6 (5 – 𝜋) cm^2

**Q11. Two circles touch each other externally at point A and PQ is common tangent which touches circles at P and Q respectively. Therefore, angle PAQ?**

(a) 45°

(b) 90°

(c) 80°

(d) 100°

**Q12. Find the ratio of area of internal circle and external circle of a square?**

(a) 1 : 2

(b) √2 : 1

(c) √2 ∶ √3

(d) √3 : 1

**Q13. In an isosceles triangle ABC, AB = AC. From point B and C, a circle passes through AB and AC cuts at point D and E. Therefore, side DE and BC of a quadrilateral DBCE is which type?**

(a) equal

(b) parallel

(c) non parallel

(d) None of these

**Q14. Two concentraic circle whose radii are 11 cm and 4 cm. Then using 𝜋 = 22/7, find the area of ring –**

(a) 230 cm^2

(b) 660 cm^2

(c) 330 cm^2

(d) 440 cm^2

**Q15. Two circles touch each other internally. Radius of larger circle is 6 cm and distance between both circles are 2 cm. therefore, radius of second circle is –**

(a) 3 cm

(b) 8 cm

(c) 4 cm

(d) 10 cm