Numbers - Arithmetic Aptitude Questions and Answers

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

${3\over 5}$

${3\over 10}$

${4\over5}$

${4\over3}$

Answer : Option C

Explanation :

Let the required fraction be x. Then $23 (\frac { 1 } { 2 } ) 4^3$ -X= ${9\over 20}$

${1-X^2\over X}$ = ${9\over 20}$

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 = ${4\over 5}$

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