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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
View Answer
Correct choice: C
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.
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