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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
Posts: 804
Location: Singapore
Followers: 2

Kudos [?]: 19 [0], given: 0

If y <> 3 and 3x/y is a prime integer greater than 2, [#permalink]  08 Oct 2005, 08:03
00:00

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(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 1 sessions
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.

Current Student
Joined: 28 Dec 2004
Posts: 3391
Location: New York City
Schools: Wharton'11 HBS'12
Followers: 13

Kudos [?]: 181 [0], given: 2

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
Director
Joined: 21 Aug 2005
Posts: 793
Followers: 2

Kudos [?]: 9 [0], given: 0

i think E

3 * 5/5 or 3 * 11/11 is all = 3 which is prime and greater than 2
Senior Manager
Joined: 30 Oct 2004
Posts: 286
Followers: 1

Kudos [?]: 12 [0], given: 0

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

Director
Joined: 21 Aug 2005
Posts: 793
Followers: 2

Kudos [?]: 9 [0], given: 0

Oops!! Didn't see that!

thanks vikram!
Director
Joined: 15 Aug 2005
Posts: 804
Location: Singapore
Followers: 2

Kudos [?]: 19 [0], given: 0

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?
_________________

Cheers, Rahul.

Intern
Joined: 08 Oct 2005
Posts: 6
Followers: 0

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

y<> 3 means y not equal to 3.

Cheers!

jbv
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