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dunkin77 Really wants to Beat The GMAT!
Joined: 01 Apr 2007 Posts: 269
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Posted: Wed Apr 04, 2007 2:52 pm Post subject: 500 ds |
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Hi,
I thought the answer was A) but the correct answer is D)....
. If x≠0, is |x| <1?
(1) x2<1
(2) |x| < 1/x |
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gabriel Managing Director
Joined: 20 Dec 2006 Posts: 660
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Location: India
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Posted: Thu Apr 05, 2007 5:23 am Post subject: Re: 500 ds |
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| dunkin77 wrote: | Hi,
I thought the answer was A) but the correct answer is D)....
. If x≠0, is |x| <1?
(1) x2<1
(2) |x| < 1/x |
ok u already know that A is sufficient....
so let me focus on B ... it is given that mod(x)<1/x... so one thing is sure that x>0 .. else mod(x) wuld have been >1/x ...
now for any value greater than 1 ... 1/x will vary between 0 and 1 ... for eg. if x is 2 1/x=.5 .... so for x>1 ... 0 < 1/x < 1 ... and mod(x)>1 ... but this violates the condition given that mod (x)<1/x ..
so the only possible value for x is values between 0 and 1 ... when x is
between 0 and 1 ... 1/x>1 and mod(x) will vary between 0 and 1 ... and that fulfills the condition that mod(x)<1/x ... |
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