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

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

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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.

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Re: Number System [#permalink]

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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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Re: Number System [#permalink]

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New post 16 Nov 2013, 14:50
Narenn wrote:
DivyanshuRohatgi wrote:
Consecutive integers have only one factor in common which is 1.



AKA, coprimes! :lol:

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Re: Number System [#permalink]

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New post 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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Re: Number System [#permalink]

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New post 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.


Yo what about Statement 1?

I though that number was prime

Cheers!
J :)

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Re: Number System [#permalink]

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New post 06 Jan 2014, 12:02
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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.


Yo what about Statement 1?

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

Two different answers.
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Re: If D is the greatest common divisor of A+7 and N, where N an [#permalink]

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Re: If D is the greatest common divisor of A+7 and N, where N an [#permalink]

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New post 10 Feb 2017, 00:32
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.


Yo what about Statement 1?

I though that number was prime

Cheers!
J :)


No,13 is its factor

Kudos [?]: 31 [0], given: 906

Re: If D is the greatest common divisor of A+7 and N, where N an   [#permalink] 10 Feb 2017, 00:32
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