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"X is not a positive number." How many possibiliti

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by torofish » Thu Sep 02, 2010 7:13 pm
"X is not a positive number."

Hi, I have encountered this kind of quote from different test prep software.
However, there are difference in interpretation.

The possibilities for X are as followed

1.) X is a negative number
2.) X is zero
3.) X is a positive fraction
4.) X is a negative fraction

One test prep assumes only 1.), and 2.)

Another assumes 1.), 2.), 3.), and 4.)

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If I really encounter in the real test, what should I assume?
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Source: — Problem Solving |

by Brian@VeritasPrep » Thu Sep 02, 2010 7:37 pm
Hey torofish:

Good question...these definitions can be crucial!

If x is not a positive number, let's break that down:

"Number" can be any real number (fraction, 0, negative, positive, etc.)
"Positive" means greater than 0

So if x is not a positive number, that allows for:

0 (0 is neither positive nor negative)
Negative integers (they're negative numbers)
Negative fractions/decimals (they're negative numbers)

So from your list you could have 1, 2, and 4. Positive fractions are positive numbers, so 3 is not allowable by that statement.
Brian Galvin
GMAT Instructor
Chief Academic Officer
Veritas Prep

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