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# If x and y are positive integers, is 2x a multiple of y? (1)

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Senior Manager
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If x and y are positive integers, is 2x a multiple of y? (1) [#permalink]

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10 Sep 2011, 13:25
00:00

Difficulty:

85% (hard)

Question Stats:

41% (01:44) correct 59% (01:54) wrong based on 27 sessions

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If x and y are positive integers, is 2x a multiple of y?

(1) 2x + 2 is a multiple of y.

(2) y ix a multiple of x.

[Reveal] Spoiler:
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[Reveal] Spoiler: OA

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10 Sep 2011, 16:55
1
KUDOS
1) x=2, y=2. Yes.
x=5, y=3. No.

NS.

2) x=1, y=1. Yes.
x=3, y=9. No.

NS.

E.

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Senior Manager
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10 Sep 2011, 17:04
Thanks. But i was looking for algebric way - usually i do it faster and with less mistakes.

+1 for the answer. Would be happy to know your technique to choose the numbers to plug in. thanks.
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14 Sep 2011, 13:16
144144 wrote:
Hey guys, would be happy so see how you guys solve this one.

thanks.

2x + 2 is multiple of y

If x is 1 Then 2x + 2 = Odd/y

If x is 2 then 2x + 2 = Even /y

Statement 1 insuff

Y is multiple of x

Again dosent provide any number, more over we can not determine what x is...

Statemnt 2 insuff.

Together also we can not determine...

IMOE
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17 Sep 2011, 01:22
My take on this.

Statement 1: 2x+2 is a multiple of y => cannot imply that 2x is also a multiple of y
not sufficient.
Statement 2: y is a multiple of x => cannot prove that 2x is also a multiple of y
not sufficient.

IMO "E"
Re: 2x and y   [#permalink] 17 Sep 2011, 01:22
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