Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

If Z is an integer, what is the value of Z ? [#permalink]
26 Dec 2012, 19:45

00:00

A

B

C

D

E

Difficulty:

(N/A)

Question Stats:

100% (01:05) correct
0% (00:00) wrong based on 4 sessions

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. Please help me in understanding why we cannot solve from (2).

Re: If Z is an integer, what is the value of Z ? [#permalink]
26 Dec 2012, 22:54

1

This post received 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. Please help me in understanding why we cannot solve from (2).

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.

Re: If Z is an integer, what is the value of Z ? [#permalink]
27 Dec 2012, 08:58

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.