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# You have two positive integers x1 and x2. When x1 is divided

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Joined: 07 Jul 2003
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Schools: Haas, MFE; Anderson, MBA; USC, MSEE
You have two positive integers x1 and x2. When x1 is divided  [#permalink]

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07 Jul 2003, 05:28
1
You have two positive integers x1 and x2. When x1 is divided by 3, the remainder is 1, and when x2 is divided by 12, the remainder is 4. Let y = 2*x1 + x2. What can you conclude about y?

I. y is even
II. y is odd
III. y is divisible by 3

(A) I only
(B) II only
(C) III only
(D) I and III only
(E) II and III only

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AkamaiBrah
Former Senior Instructor, Manhattan GMAT and VeritasPrep
Vice President, Midtown NYC Investment Bank, Structured Finance IT
MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993

GMAT Instructor
Joined: 07 Jul 2003
Posts: 750
Location: New York NY 10024
Schools: Haas, MFE; Anderson, MBA; USC, MSEE

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07 Jul 2003, 06:10
That is correct. Can you explain your solution is a clear manner?
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Best,

AkamaiBrah
Former Senior Instructor, Manhattan GMAT and VeritasPrep
Vice President, Midtown NYC Investment Bank, Structured Finance IT
MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993

SVP
Joined: 03 Feb 2003
Posts: 1566

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07 Jul 2003, 06:40
X1=3K+1
X2=12N+4

Y=2*X1+X2=6K+12N+6

the number is even and divisible by 3. This is for sure.
Manager
Joined: 28 Feb 2003
Posts: 97

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07 Jul 2003, 06:58
stolyar wrote:
X1=3K+1
X2=12N+4

Y=2*X1+X2=6K+12N+6

the number is even and divisible by 3. This is for sure.

Elegant
The master in form

bhavesh

--== Message from the GMAT Club Team ==--

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This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

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Joined: 09 Sep 2013
Posts: 9163
Re: You have two positive integers x1 and x2. When x1 is divided  [#permalink]

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24 Nov 2018, 07:11
Hello from the GMAT Club BumpBot!

Thanks to another GMAT 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: You have two positive integers x1 and x2. When x1 is divided &nbs [#permalink] 24 Nov 2018, 07:11
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