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
