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

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Manager
Joined: 01 Feb 2006
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If x and y are positive integers, which of the following [#permalink]  22 Nov 2006, 12:34
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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?

A) 5
B) 5(x - y)
C) 20x
D) 20y
E) 35x

Explanations pls.

Ans : C
Senior Manager
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[#permalink]  22 Nov 2006, 17:16
c.

this may seem a bit cryptic question in the first place... but...

20x doesn't even divide 35x (and a greatest common divisor must be a divisor of the two numbers)
Senior Manager
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[#permalink]  26 Nov 2006, 16:28
Tennis can u or someone else pls elaborate on the solution ?
VP
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[#permalink]  26 Nov 2006, 19:05
if you divide C 20x by 35x, it is instantly not an integer. so 20x is already not a factor. no need to proceed further.

u can also found x and y to make other choices correct.
VP
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Schools: Wharton (R2 - submitted); HBS (R2 - submitted); IIMA (admitted for 1 year PGPX)
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[#permalink]  27 Nov 2006, 00:56
hobbit wrote:
c.

this may seem a bit cryptic question in the first place... but...

20x doesn't even divide 35x (and a greatest common divisor must be a divisor of the two numbers)

B.

20x divides 35x when x = 20.

Also, if x = y = 1 then 5(x-y) = 0 and 0 can't be the GCD.
[#permalink] 27 Nov 2006, 00:56
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# If x and y are positive integers, which of the following

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