Numbers-Data Intensity 1 Questions and Answers Discussion Page.

26.	The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is?
	A.	3/5
	B.	3/10
	C.	4/5
	D.	4/3

Answer: Option C

Explanation:

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

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Published by:Michael Daani

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