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Is x a real number?

Expert replies
Source: — Data Sufficiency |

by Anju@Gurome » Thu Apr 04, 2013 4:57 am
himu wrote:Is x a real number?

Sqrt X is not positive
x^2 is not positive

Statement 1: By definition, if x is a nonnegative real number then √x is always nonnegative. As √x is not positive, then we can only conclude that x is not a positive real number. But x can be either equal to zero or a negative real number or not real at all.

Not sufficient

Statement 2: As square of any real number is always nonnegative, x is either equal to zero or not real at all.

Not sufficient

1 & 2 Together: x is either equal to zero or not real at all.

Not sufficient

The correct answer is E.
Anju Agarwal
Quant Expert, Gurome

Backup Methods : General guide on plugging, estimation etc.
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by ramv_fl » Fri May 10, 2013 12:49 pm
himu wrote:Is x a real number?

Sqrt X is not positive
x^2 is not positive
Are real and imaginary numbers tested in GMAT?
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by Blue_Skies » Fri May 10, 2013 4:20 pm
ramv_fl wrote:
himu wrote:Is x a real number?

Sqrt X is not positive
x^2 is not positive
Are real and imaginary numbers tested in GMAT?
As per my information, they are not tested. In this question , the only thing required is not to forget '0'.
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