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Which of the following pairs of integers have reciprocals w

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Carcass
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Which of the following pairs of integers have reciprocals w [#permalink] New post   07 Dec 2017, 03:26
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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

E. 6 and 8
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A,C,D
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Re: Which of the following pairs of integers have reciprocals w [#permalink] New post   07 Dec 2017, 11:27
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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

E. 6 and 8

Show: :: OA
OA in 24h


Here only option b and E donot match the criteria

3 and 12 donot match the criteria because the reciprocal add up to 0.4166 which in not greater than \(\frac{1}{2}\)
and 6 and 8 donot match the criteria because the reciprocal add up to 0.291 which in not greater than \(\frac{1}{2}\) or less than \(\frac{1}{3}\)
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Re: Which of the following pairs of integers have reciprocals w [#permalink] New post   08 Dec 2017, 04:05
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OAs added. A,C,D
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Re: Which of the following pairs of integers have reciprocals w [#permalink] New post   09 Dec 2017, 13:43
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0.291 is less than 1/3
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Re: Which of the following pairs of integers have reciprocals w [#permalink] New post   17 Dec 2018, 17:29
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pranab01 wrote:
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

E. 6 and 8

Show: :: OA
OA in 24h


Here only option b and E donot match the criteria

3 and 12 donot match the criteria because the reciprocal add up to 0.4166 which in not greater than \(\frac{1}{2}\)
and 6 and 8 donot match the criteria because the reciprocal add up to 0.291 which in not greater than \(\frac{1}{2}\) or less than \(\frac{1}{3}\)

Why is 0.291 not less than 1/3=0.3333333
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Re: Which of the following pairs of integers have reciprocals w [#permalink] New post   02 Jul 2020, 23:47
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Carcass wrote:
OAs added. A,C,D


I think E should also be included. 1/6+1/8≈0.291 which is less than 1/3 and thus fits the criteria. Please check and/or critique.
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Re: Which of the following pairs of integers have reciprocals w [#permalink] New post   09 Sep 2023, 20:51
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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Re: Which of the following pairs of integers have reciprocals w [#permalink]
09 Sep 2023, 20:51
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