**Q6. A sum is to be paid back in 3 equal installment. The interest rate is compound annually at 25% per annum. If each installment be Rs. 12500 then what is sum?**

(a) 24400

(b) 24200

(c) 20000

(d) 30000

**Q7. 3 men and 5 women together can finish a job in 3 days. Being Working on the same job 3 woman take 5 days more than time required by 2 men. What is the ratio of efficiency of a man to woman –**

(a) 5 : 1

(b) 5 : 3

(c) 5 : 4

(d) 5 : 2

**Q10. In the length of a chord of a circle, which makes an angle 45° with the tangent drawn at one end point of the chord is 6 cm, then the radius of the circle is:**

(a) 6√2 cm

(b) 5 cm

(c) 3√2 cm

(d) 6 cm

**Q11. AB is a chord to a circle and PAT is the tangent to the circle at A. If BAT = 75° and angle BAC = 45°, C being a point on the circle, then angle ABC is equal to:**

(a) 40°

(b) 45°

(c) 60°

(d) 70°

**Q12. ABCD is a cyclic parallelogram. The angle B is equal to:**

(a) 30°

(b) 60°

(c) 45°

(d) 90°

**Q13. AB is the diameter of the circle with centre O. DC is a chord such that DC||AB. If angle BAC = 20°, then angle ADC is equal to:-**

(a) 100°

(b) 90°

(c) 110°

(d) 120°

**Q14. In triangle ABC, AB = 4 cm, BC = 3.4 cm and AC = 2.2 cm. Three circles are drawn with centre A, B and C in such a way that each circle touches the other two. Then the diameter of the bigger circle is:**

(a) 5.2 cm

(b) 2.6 cm

(c) 2.8 cm

(d) None of these

**Q15. A circle (with centre at O) is touching two intersecting lines AX and BY. The two points of contact A and B subtend an angle of 65° at point C on the circumference of the circle. If P is the point of intersection of the two lines, then the measure of angle APO is:**

(a) 25°

(b) 65°

(c) 90°

(d) 40°