**Q1. Ratio between the no. of sides and each interior angles for two regular polygons are 5 : 6 and 24 : 25 then what are the no. of sides of all those polygons?**

(a) 20, 24

(b) 25, 18

(c) 10, 12

(d) 5, 6

**Q2. A regular hexagon is formed after cutting the vertices of an equilateral âˆ† of side 12 cm. find out the area of this hexagon (is cmÂ²)? **

**Q3. is simplified to**

(a) 0

(b) 1

(c) 2

(d) 3

**Q4. A circle is circumscribed by the rhombus which in turn is made up by joining the mid points of a rectangle whose sides are 24 cm and 32 cm respectively. What is the area of the circle?**

**Q5. A man is watching from the top of a tower at a boat speeding away from the tower. The boat makes an angle of depression of 45Â° with the manâ€™s eye when at a distance of 100m from the bottom of tower. After 5s, the angle of depression becomes 30Â°. What is the approximate speed of the boat assuming that it is running in still water(in km/h)? **

(a) 52.92

(b) 49.96

(c)61.23

(d) 46.66

**Q6. The radius of circle is so increased that its circumference increased by 5%. The area of the circle then increases by**

(a) 12.5%

(b) 10.25%

(c) 10.5%

(d) 11.25%

**Q7. The diagonal of a square is 4 âˆš2 cm. Find the diagonal of another square whose area is double that of the first square is**

(a) 8 cm

(b) 8 âˆš2 cm

(c) 4 âˆš2 cm

(d) 16 cm

**Q8. A rectangular park 60 m long and 40 m wide has two concrete crossroads of same width running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?**

(a) 2.91 m

(b) 3 m

(c) 5.82 m

(d) 4m

**Q9. Suppose the two sides of a square are along the straight line 6x-8y=15 and 4y -3x = 2. Then the area of the square is**

2.52 Sq.Units

3.61 Sq. Units

4.33 Sq. Units

5 Sq. Units

**Q10. The point C(3,Â2) divides the segment joining the points (x,0) and (0,y) in the ratio 1:3. Find x and y?**

(a) x = 4Í¾ y = Â8

(b) x = Â3Í¾ y = Â8

(c) x = 3Í¾ y = 8

(d) x = Â3Í¾ y = 8

**Solutions:**