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# is |x^2-3|>2 1) x^2 is an integer 2) x is a prime integer

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Current Student
Joined: 11 May 2008
Posts: 552
is |x^2-3|>2 1) x^2 is an integer 2) x is a prime integer [#permalink]

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06 Sep 2008, 20:35
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This topic is locked. If you want to discuss this question please re-post it in the respective forum.

is |x^2-3|>2

1) x^2 is an integer
2) x is a prime integer and is not a factor of 128.
SVP
Joined: 29 Aug 2007
Posts: 2457

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06 Sep 2008, 20:41
arjtryarjtry wrote:
is |x^2-3|>2

1) x^2 is an integer
2) x is a prime integer and is not a factor of 128.

1: if x = 1 or 2 pr 3, nsf.
2: so x is not 2 but could be 3 or 5 or 7 or so on. nsf.
togather also x could be 3. nsf.

//E//
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Current Student
Joined: 11 May 2008
Posts: 552

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06 Sep 2008, 20:50
this was my own creation...
i thought that the only way to work on my weak point is to create problems...
Manager
Joined: 03 Jun 2008
Posts: 131
Schools: ISB, Tuck, Michigan (Ross), Darden, MBS

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07 Sep 2008, 00:17
GMAT TIGER wrote:
arjtryarjtry wrote:
is |x^2-3|>2

1) x^2 is an integer
2) x is a prime integer and is not a factor of 128.

1: if x = 1 or 2 pr 3, nsf.
2: so x is not 2 but could be 3 or 5 or 7 or so on. nsf.
togather also x could be 3. nsf.

//E//

Could you please explain why is option 2 not sufficient?
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'It's not the ride, it's the rider'

SVP
Joined: 29 Aug 2007
Posts: 2457

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07 Sep 2008, 00:27
GMBA85 wrote:
GMAT TIGER wrote:
arjtryarjtry wrote:
is |x^2-3|>2

1) x^2 is an integer
2) x is a prime integer and is not a factor of 128.

1: if x = 1 or 2 pr 3, nsf.
2: so x is not 2 but could be 3 or 5 or 7 or so on. nsf.
togather also x could be 3. nsf.

//E//

Could you please explain why is option 2 not sufficient?

you are correct. its in fact //B//.

i overlooked x^2 as x.
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Manager
Joined: 03 Jun 2008
Posts: 131
Schools: ISB, Tuck, Michigan (Ross), Darden, MBS

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07 Sep 2008, 00:37
you are correct. its in fact //B//.

i overlooked x^2 as x.[/quote]

GMAT TIGER - thx for the quick reply

arjtryarjtry - awaiting more of such questions from you. It definitely helps u clear fundae and brings quite a bit of clarity. well done!

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'It's not the ride, it's the rider'

SVP
Joined: 17 Jun 2008
Posts: 1507

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08 Sep 2008, 01:45
I also fell into trap......wrongly took x for x^2.

Re: modulus 4   [#permalink] 08 Sep 2008, 01:45
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# is |x^2-3|>2 1) x^2 is an integer 2) x is a prime integer

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