Q1: The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is:

ANS:C -

4

5

Let the required fraction be x. Then	1	- x =	9
	x		20

	1 - x2	=	9
	x		20

     20 - 20x² = 9x      20x² + 9x - 20 = 0      20x² + 25x - 16x - 20 = 0      5x(4x + 5) - 4(4x + 5) = 0      (4x + 5)(5x - 4) = 0

x =	4
	5