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Which of the following pairs of integers have reciprocals wh
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03 Dec 2019, 02:25
03 Dec 2019, 02:25
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Which of the following pairs of integers have reciprocals whose sum is either less than \(\frac{1}{3}\) or greater than \(\frac{1}{2}\)?
Indicate all such pairs.
A. 1 and 14
B. 3 and 12
C. 5 and 10
D. 7 and 8
Kudos for the right answer and explanation
Indicate all such pairs.
A. 1 and 14
B. 3 and 12
C. 5 and 10
D. 7 and 8
Kudos for the right answer and explanation
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: Which of the following pairs of integers have reciprocals wh
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31 Jan 2020, 07:33
31 Jan 2020, 07:33
2
Carcass wrote:
Which of the following pairs of integers have reciprocals whose sum is either less than \(\frac{1}{3}\) or greater than \(\frac{1}{2}\)?
Indicate all such pairs.
A. 1 and 14
B. 3 and 12
C. 5 and 10
D. 7 and 8
Kudos for the right answer and explanation
Indicate all such pairs.
A. 1 and 14
B. 3 and 12
C. 5 and 10
D. 7 and 8
Kudos for the right answer and explanation
A. 1 and 14
\(\frac{1}{1}+\frac{1}{14}=\frac{14}{14}+\frac{1}{14}=\frac{15}{14}\)
\(\frac{15}{14}\) is greater than \(\frac{1}{2}\)
KEEP A
B. 3 and 12
\(\frac{1}{3}+\frac{1}{12}=\frac{4}{12}+\frac{1}{12}=\frac{5}{12}\)
\(\frac{5}{12}\) is greater than \(\frac{1}{3}\) AND less than \(\frac{1}{2}\)
Eliminate B
C. 5 and 10
\(\frac{1}{5}+\frac{1}{10}=\frac{2}{10}+\frac{1}{10}=\frac{3}{10}=0.3\)
\(0.3\) is less than \(\frac{1}{3}\)
KEEP C
D. 7 and 8
NOTICE THAT \(\frac{1}{6}+\frac{1}{6}=\frac{2}{6}=\frac{1}{3}\)
Since \(\frac{1}{7}\) and \(\frac{1}{8}\) are each LESS THAN \(\frac{1}{6}\), we can conclude that their SUM must be less than \(\frac{1}{3}\)
KEEP D
Answer: A, C, D
Cheers,
Brent
Re: Which of the following pairs of integers have reciprocals wh
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12 Apr 2021, 18:14
12 Apr 2021, 18:14
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
