**Q1. Each interior angle of a regular polygon is three times its exterior angle, then the number of sides of the regular polygon is: **

(a) 9

(b)8

(c)10

(d)7

**Q3.Area of ∆ABC = 30 cm^2. D and E are the mid-points of BC and AB respectively. Find Ar (∆BDE):( in c.m. square)**

(a) 10

(b) 7.5

(c) 15

(d) None of these

**Q4. The length of the common chord of two circles of radii 30 cm and 40 whose centres are 50 cm apart is (in cm) **

(a) 12

(b) 24

(c) 36

(d) 48

**Q5.The three equal circles touch each other externally. If the centres of these circles are A, B, C then ABC is **

(a) a right angle triangle

(b) an equilateral triangle

(c) an isosceles triangle

(d) a scalene triangle

**Q6. The radius of a circle is a side of a square. The ratio of the area of the circle and the square is**

(a) 1 :π

(b) π : 1

(c) π : 2

(d)2 :π

**Q7. The external fencing of a circular path around a circular plot of land is 33m more than its interior fencing. The width of the path around the plot is **

(a) 5.20 m

(b) 5.25 m

(c) 2.55 m

(d) 2.25 m

**Q8. The inradius of an equilateral triangle is √3 cm, then the perimeter of that triangle is **

(a) 18 cm

(b) 15 cm

(c) 12 cm

(d) 6 cm

**Q9. The inner-radius of a triangle is 6 cm, and the sum of lengths of its sides is 50 cm. The area of the triangle (in sq. cm.) is **

(a) 150

(b) 300

(c) 50

(d) 56

**Q10.What is the position of the circumcentre of an obtuse-angles triangle? **

(a) It is the vertex opposite to the largest side

(b) It is the mid-point of the largest side

(c) It lies outside the triangles

(d) It lies of inside the triangles

**Q11.The lengths of two parallel sides of a trapezium are 6 cm and 8 cm. If the height of the trapezium be 4 cm, then its area is **

(a) 28 cm^2

(b) 56 cm^2

(c) 30 cm^2

(d) 36 cm^2

**Q12. Find the length of the longest rod than can be placed in a hall of 10 m length, 6 m breadth and 4 m height,**

(a) 2√38m

(b) 4√38m

(c) 2√19m

(d)√154m

**Q13. The base of a triangle is 15 cm and height is 12 cm. The area of another triangle is double the area of first triangle and having the base 20 cm . what is the height of another triangle is ?**

(a) 9 cm

(b) 18 cm

(c) 8 cm

(d) 12.5 cm

**Q14.In an equilateral triangle ABC, P & Q are mid-point of sides AB & AC respectively such that PQ ∥ BC. If PQ = 5 cm then find the length of BC. **

(a) 5 cm

(b) 10 cm

(c) 15 cm

(d) 12 cm

**Q15.What is the area of a triangle having perimeter 32 cm, one side 11 cm and difference of other two sides 5 cm? **

(a) 8√30 cm^2

(b) 5√35 cm^2

(c) 6√30 cm^2

(d) 8√2 cm^2