GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Which one of the following fractions is a result of the sum
[#permalink]
02 Apr 2019, 11:58
02 Apr 2019, 11:58
Expert Reply
00:00
Question Stats:
92% (00:42) correct
7% (02:07) wrong based on 14 sessions
Hide Show timer Statistics
Which one of the following fractions is a result of the sum of an integer and its reciprocal?
(A) \(\frac{15}{8}\)
(B) \(\frac{17}{5}\)
(C) \(\frac{36}{7}\)
(D) \(\frac{37}{5}\)
(E) \(\frac{65}{8}\)
(A) \(\frac{15}{8}\)
(B) \(\frac{17}{5}\)
(C) \(\frac{36}{7}\)
(D) \(\frac{37}{5}\)
(E) \(\frac{65}{8}\)
Re: Which one of the following fractions is a result of the sum
[#permalink]
15 Apr 2020, 11:59
15 Apr 2020, 11:59
Expert Reply
The sum of an integer and its reciprocal is x + 1/x. We can simplify this expression to:
x + 1/x = x^2/x + 1/x = (x^2 + 1)/x
So we see that the numerator is 1 more than the square of the denominator.
Since 65 is 8^2 + 1, we see that 65/8 is the answer.
Answer: E
x + 1/x = x^2/x + 1/x = (x^2 + 1)/x
So we see that the numerator is 1 more than the square of the denominator.
Since 65 is 8^2 + 1, we see that 65/8 is the answer.
Answer: E
gmatclubot
Re: Which one of the following fractions is a result of the sum [#permalink]
15 Apr 2020, 11:59
Moderators:
