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

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Director
Joined: 15 Aug 2005
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If y <> 3 and 3x/y is a prime integer greater than 2, [#permalink]

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08 Oct 2005, 09:03
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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. II only
D. III only
E. I and III
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Cheers, Rahul.

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Current Student
Joined: 28 Dec 2004
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Schools: Wharton'11 HBS'12

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08 Oct 2005, 09:44
A none...

say x=33 and y=9

then 3(x/y)=11 which is a prime greater than 2...

x is not a prime, y is not a prime, x is not equal to y...y is not equal to 1

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Director
Joined: 21 Aug 2005
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08 Oct 2005, 10:37
i think E

3 * 5/5 or 3 * 11/11 is all = 3 which is prime and greater than 2

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Senior Manager
Joined: 30 Oct 2004
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08 Oct 2005, 11:30
A) None...

qsr - see fresinha12's response.. x and y need not be prime integers (or equal for that matter) for 3x/y to be prime.
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-Vikram

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Director
Joined: 21 Aug 2005
Posts: 786

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08 Oct 2005, 12:31
Oops!! Didn't see that!

thanks vikram!

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Director
Joined: 15 Aug 2005
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08 Oct 2005, 20:28
fresinha12 wrote:
A none...

say x=33 and y=9

then 3(x/y)=11 which is a prime greater than 2...

x is not a prime, y is not a prime, x is not equal to y...y is not equal to 1

Thanks man! By the way what does y<>3 mean - does it mean y is greater than or lesser than 3?
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Cheers, Rahul.

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Intern
Joined: 08 Oct 2005
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08 Oct 2005, 21:42
y<> 3 means y not equal to 3.

Cheers!

jbv

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08 Oct 2005, 21:42
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