Aptitude - Numbers - Discussion

Discussion Forum : Numbers - General Questions (Q.No. 26)
26.
The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is:
3
5
3
10
4
5
4
3
Answer: Option
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

Discussion:
53 comments Page 5 of 6.

Rima said:   1 decade ago
Can anyone tell me what is meaning of "positive proper fraction"?

Md Kashif said:   9 years ago
It should be x - 1/x = 9/20. Thus, x would come out to be 5/4.

Suresh said:   7 years ago
What is factorization? I am not understanding this.

Vicky said:   7 years ago
I think the right answer is 5/4.

Ref: RS Agarwal.
(1)

Rafi said:   1 decade ago
Please explain how it become (5x-4) (4x+5) = 0?

Puja said:   6 years ago
Can anyone please explain how 25 and 9 came?

Nikita said:   9 years ago
Very nice explanation, thank you all.

Karthik said:   5 years ago
Please anyone explain me in detail.

Shanu said:   5 years ago
Why 1-x^2/x? Please explain it.
(1)

Dharna said:   7 years ago
Answer should be 5/4 not 4/5.


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