a2zinterviews

27.	One side of a rectangular field is 15 m and one of its diagonal is 17 m. Find the area of the field.
	A.  100
	B.  120
	C.  150
	D.  180

Solution

Other side = √(17)2 - (15)2 = √289 - 225 = √64 = 8 m. ∴ Area = (15 x 8)m2 = 120 m2.

28.	The area of a circle of radius 5 is numerically what percent of its circumference?
	A.  200
	B.  225
	C.  240
	D.  250

Solution

Required % = [ Π x (5)2 / 2Π x 5 x 100]% ‹=›250%.

29.	The front wheels of a wagon are 2Π feet in circumference and the rear wheels are 3Π feet in circumference. When the front wheels have made 10 more revolutions than the rear wheels, how many feet has the wagon travelled?
	A.  30Π
	B.  45Π
	C.  60Π
	D.  90Π

Solution

Let the rear wheel make x revolutions. Then, the front wheel makes (x+10) revolutions. (x+10) x 3Π = x×2Π ‹=›3x + 30 = 2x ‹=›x = 30. Distance travelled by the wagon = (2Π x 30)ft ‹=›(60Π) ft.