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# If x and y are positive integers, which of the following

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Senior Manager
Joined: 20 Dec 2004
Posts: 252

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If x and y are positive integers, which of the following [#permalink]

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03 Apr 2008, 15:57
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If x and y are positive integers, which of the following CANNOT be the greatest common divisor of 35x and 20y?
5
5(x – y)
20x
20y
35x
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Kudos [?]: 111 [0], given: 0

CEO
Joined: 17 Nov 2007
Posts: 3584

Kudos [?]: 4575 [0], given: 360

Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40

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03 Apr 2008, 16:53
B

shortcut: if x=y, 5(x-y)=0. But GCD cannot be 0.
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Kudos [?]: 4575 [0], given: 360

Manager
Joined: 03 Jan 2008
Posts: 107

Kudos [?]: 71 [0], given: 0

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03 Apr 2008, 17:24
walker wrote:
B

shortcut: if x=y, 5(x-y)=0. But GCD cannot be 0.

but it CAN be GCD if x#y. CAN NOT means that in ANY cases, no exception.

Its C. Because 35x can not divisible by 20x

Kudos [?]: 71 [0], given: 0

CEO
Joined: 17 Nov 2007
Posts: 3584

Kudos [?]: 4575 [0], given: 360

Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40

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03 Apr 2008, 17:29
You are right! so silly mistake.....
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Kudos [?]: 4575 [0], given: 360

Re: PS: GCD   [#permalink] 03 Apr 2008, 17:29
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