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Is x^2/x < 1?

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Is x^2/x < 1?

by crackgmat007 » Wed May 13, 2009 9:13 pm
If x &#8800; 0, is x^2/x < 1?
(1) x < 1
(2) x > &#8722;1

Pls explain the logic for solving this problem. Answer seems to be A
Last edited by crackgmat007 on Thu May 14, 2009 8:48 pm, edited 1 time in total.
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Source: — Data Sufficiency |
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by aj5105 » Wed May 13, 2009 10:19 pm
I am getting (A). Am I missing something here?
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by scoobydooby » Thu May 14, 2009 12:05 am
i get A as well

1) x<1
if x=1/2 then x^2/x= 1/2 <1
if x=-1/2 then x^2/x=-1/2 <1
if x=-4 or any negative number then x^2/x => some negative number as x^2>0 . negative number <1
sufficient

2) x > &#8722;1
if x= 2, then x^2/x=2>1
if x=1/2, then x^2/x= 1/2 <1 from above
not sufficient

hence, A
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