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# If D is the greatest common divisor of A+7 and N, where N an

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Intern
Joined: 02 Oct 2013
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If D is the greatest common divisor of A+7 and N, where N an [#permalink]

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22 Oct 2013, 02:01
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Difficulty:

55% (hard)

Question Stats:

54% (02:21) correct 46% (01:14) wrong based on 99 sessions

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If D is the greatest common divisor of A+7 and N, where N and A are integers. What is the value of D

(1) N = 20891
(2) N = A + 6
[Reveal] Spoiler: OA

Last edited by Bunuel on 22 Oct 2013, 02:36, edited 2 times in total.
Edited the question.
MBA Section Director
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22 Oct 2013, 02:17
2
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Expert's post
DivyanshuRohatgi wrote:
If D is the greatest common divisor of A+7 and n , where n and A are integers . What is the value of D

1. N=20891
2. N=A+6

Can someone help me with this

IMO B

2nd statement tells us that second integer is A+6, and the question stem tells us that fist integer is A+7

So they are consecutive integers. Consecutive integers have only one factor in common which is 1. So their GCD is 1

NOTE :- Always name the topic properly.
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16 Nov 2013, 14:50
Narenn wrote:
DivyanshuRohatgi wrote:
Consecutive integers have only one factor in common which is 1.

AKA, coprimes!
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20 Nov 2013, 03:51
Narenn wrote:

Consecutive integers have only one factor in common which is 1. So their GCD is 1

too many properties to remember.

thanks
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06 Jan 2014, 10:20
Narenn wrote:
DivyanshuRohatgi wrote:
If D is the greatest common divisor of A+7 and n , where n and A are integers . What is the value of D

1. N=20891
2. N=A+6

Can someone help me with this

IMO B

2nd statement tells us that second integer is A+6, and the question stem tells us that fist integer is A+7

So they are consecutive integers. Consecutive integers have only one factor in common which is 1. So their GCD is 1

NOTE :- Always name the topic properly.

I though that number was prime

Cheers!
J
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06 Jan 2014, 12:02
1
KUDOS
Expert's post
jlgdr wrote:
Narenn wrote:
DivyanshuRohatgi wrote:
If D is the greatest common divisor of A+7 and n , where n and A are integers . What is the value of D

1. N=20891
2. N=A+6

Can someone help me with this

IMO B

2nd statement tells us that second integer is A+6, and the question stem tells us that fist integer is A+7

So they are consecutive integers. Consecutive integers have only one factor in common which is 1. So their GCD is 1

NOTE :- Always name the topic properly.

I though that number was prime

Cheers!
J

Still we have two possibilities
A) If 20891 is factor of A+7 then D is 20891
B) If 20891 is not factor of A+7 then D is 1

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Re: Number System   [#permalink] 06 Jan 2014, 12:02
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