Sawaal
35
Q:

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

A) 3/5 B) 3/10
C) 4/5 D) 5/4

Answer:   C) 4/5



Explanation:

Let the required fraction be x. Then, (1 / x )- x = 9/20
1 - x^(2) / x = 9 / 20  =>  20 - 20 * x^(2) = 9 * x.
20 * x^(2) + 9 *x - 20 = 0.
=> (4 * x + 5) (5 * x - 4) = 0.
=> x = 4 / 5.

Subject: Numbers - Quantitative Aptitude - Arithmetic Ability

it should be 5/4
5/4-4/5=9/20

Commented by  1sahil01 at May 18, 2015 03:26 AM

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