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# If y 3 and 3x/y is a prime integer greater than 2, which

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If y 3 and 3x/y is a prime integer greater than 2, which [#permalink]  21 Mar 2008, 20:46
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If y ≠ 3 and 3x/y is a prime integer greater than 2, which of the following must be true?
Ⅰ. x = y
Ⅱ. y = 1
Ⅲ. x and y are prime integers.
(A) None
(B) Ⅰ only
(C) Ⅱonly
(D) Ⅲonly
(E) Ⅰand Ⅲ

oops missed out 3x/y
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Last edited by prasannar on 21 Mar 2008, 21:45, edited 1 time in total.
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Joined: 15 Aug 2007
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Schools: Chicago Booth
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Re: PS: Prime [#permalink]  21 Mar 2008, 21:36
prasannar wrote:
If y ≠ 3 and is a prime integer greater than 2, which of the following must be true?
Ⅰ. x = y
Ⅱ. y = 1
Ⅲ. x and y are prime integers.
(A) None
(B) Ⅰ only
(C) Ⅱonly
(D) Ⅲonly
(E) Ⅰand Ⅲ

I didn't understand. what is the relation between x and y?
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Joined: 29 Aug 2007
Posts: 2497
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Re: PS: Prime [#permalink]  21 Mar 2008, 22:08
prasannar wrote:
If y ≠ 3 and 3x/y is a prime integer greater than 2, which of the following must be true?

Ⅰ. x = y
Ⅱ. y = 1
Ⅲ. x and y are prime integers.

(A) None
(B) Ⅰ only
(C) Ⅱ only
(D) Ⅲ only
(E) Ⅰ and Ⅲ

A. none. since we do not know x and y are integers, they could be anything.
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Re: PS: Prime [#permalink]  22 Mar 2008, 06:00
sondenso wrote:
x=y is a must

It should be A

when x=10, y=6, 3x/y becomes 5. x=y is not must.
Re: PS: Prime   [#permalink] 22 Mar 2008, 06:00
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