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# If Z is an integer, what is the value of Z ?

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Manager
Joined: 14 Dec 2011
Posts: 76
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Kudos [?]: 54 [0], given: 74

If Z is an integer, what is the value of Z ? [#permalink]

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26 Dec 2012, 20:45
If Z is an integer, what is the value of Z ?

(1) Z^2 <= 0
(2) Z^3 <= 0

I thought that if i can solve from (1), then i can also solve from (2). So, I selected D which is incorrect.

Thanks & Regards
Vinni
Director
Status: Tutor - BrushMyQuant
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Location: India
Concentration: Finance, Marketing
Schools: XLRI (A)
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Kudos [?]: 598 [1] , given: 55

Re: If Z is an integer, what is the value of Z ? [#permalink]

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26 Dec 2012, 23:54
1
KUDOS
vinnik wrote:
If Z is an integer, what is the value of Z ?

1. Z^2 <= 0
2. Z^3 <= 0

I thought that if i can solve from (1), then i can also solve from (2). So, I selected D which is incorrect.

Thanks & Regards
Vinni

In STAT1 its sufficient because minimum value of square of a number is 0(if the number itself is zero). Square of any number will always be greater than or equal to zero. So, only possible value if z which satisfies both z>=0 and z<=0 is z=0 so. It's sufficient.

STAT2: since its z^3 <= 0 then z can be 0 or any negative value as cube of negative number is negative. So we have infinitely many solutions to this.

Hope it helps!
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Manager
Joined: 14 Dec 2011
Posts: 76
Followers: 0

Kudos [?]: 54 [0], given: 74

Re: If Z is an integer, what is the value of Z ? [#permalink]

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27 Dec 2012, 09:58
nktdotgupta wrote:
In STAT1 its sufficient because minimum value of square of a number is 0(if the number itself is zero). Square of any number will always be greater than or equal to zero. So, only possible value if z which satisfies both z>=0 and z<=0 is z=0 so. It's sufficient.

STAT2: since its z^3 <= 0 then z can be 0 or any negative value as cube of negative number is negative. So we have infinitely many solutions to this.

Hope it helps!

Thanks Ankit.

Regards
Vinni
Manager
Joined: 18 Oct 2011
Posts: 90
Location: United States
Concentration: Entrepreneurship, Marketing
GMAT Date: 01-30-2013
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Kudos [?]: 72 [0], given: 0

Re: If Z is an integer, what is the value of Z ? [#permalink]

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03 Jan 2013, 10:08
Given the two peices of data look at it this way;

An integer can either be negative, positive or zero.

Any number N that is squared has to be positive. Any number N that is cubed can either be negative or zero.

Only A gives you a definite answer - N must be 0
Re: If Z is an integer, what is the value of Z ?   [#permalink] 03 Jan 2013, 10:08
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# If Z is an integer, what is the value of Z ?

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