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# If g is the greatest common divisor of k+7 and n, where n and k are in

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Manager
Joined: 28 May 2018
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If g is the greatest common divisor of k+7 and n, where n and k are in  [#permalink]

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17 Mar 2019, 04:24
00:00

Difficulty:

45% (medium)

Question Stats:

67% (01:18) correct 33% (02:05) wrong based on 6 sessions

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If g is the greatest common divisor of $$k+7$$ and n, where n and k are integers
What is the value of g?

1) $$n=20891$$
2) $$n=k+6$$

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Intern
Joined: 15 Feb 2017
Posts: 12
Re: If g is the greatest common divisor of k+7 and n, where n and k are in  [#permalink]

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17 Mar 2019, 04:39
From statement 2. g is the GCD of (K+7) & (K+6). Clearly (K+7) & (K+6) are consecutive no. (as K= integer) .
GCD of two consecutive integer is always 1. Hence statement 2 alone is sufficient.
Statement 2 : gave a constant value for n. To find value of g we need the value of K as well. So statement 2 is not sufficient.
Hence ans is B.

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Math Expert
Joined: 02 Sep 2009
Posts: 55274
Re: If g is the greatest common divisor of k+7 and n, where n and k are in  [#permalink]

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17 Mar 2019, 07:32
PriyankaPalit7 wrote:
If g is the greatest common divisor of $$k+7$$ and n, where n and k are integers
What is the value of g?

1) $$n=20891$$
2) $$n=k+6$$

Discussed here: https://gmatclub.com/forum/if-d-is-the- ... fl=similar
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Re: If g is the greatest common divisor of k+7 and n, where n and k are in   [#permalink] 17 Mar 2019, 07:32
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