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# If z is an integer, how many values of z^2 satisfy the i

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Senior Manager
Joined: 31 Jul 2017
Posts: 477
Location: Malaysia
GMAT 1: 700 Q50 V33
GPA: 3.95
WE: Consulting (Energy and Utilities)
If z is an integer, how many values of z^2 satisfy the i  [#permalink]

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19 Nov 2017, 19:44
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Difficulty:

45% (medium)

Question Stats:

72% (00:55) correct 28% (00:55) wrong based on 18 sessions

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If z is an integer, how many values of z^2 satisfy the inequality: (z^2 + 4)(z^2 – 2) < 0?

1. 0
2. 1
3. 2
4. 6
5. Cannot be determined

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Joined: 29 May 2012
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Re: If z is an integer, how many values of z^2 satisfy the i  [#permalink]

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19 Nov 2017, 19:59
Isn't it B? The only integer that satisfies the inequality is 0. Why C?
Senior Manager
Joined: 31 Jul 2017
Posts: 477
Location: Malaysia
GMAT 1: 700 Q50 V33
GPA: 3.95
WE: Consulting (Energy and Utilities)
Re: If z is an integer, how many values of z^2 satisfy the i  [#permalink]

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20 Nov 2017, 00:00
Paulli1982 wrote:
Isn't it B? The only integer that satisfies the inequality is 0. Why C?

Hi Paulli1982,

The Range for the above equation would be 0<=Z^2 < 2, as Z is an Integer then Z^2 = 0, 1. Hence 2 Values.
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Intern
Joined: 13 Feb 2017
Posts: 35
Re: If z is an integer, how many values of z^2 satisfy the i  [#permalink]

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21 Nov 2017, 19:51
Hi Rahul,

I solved it this way:

Z^2<-4 which is not possible. Also z^2<2. Therefore range is 0<=z^2<2 as minimum value of perfect square is 0.

Please correct me if I am wrong here

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: If z is an integer, how many values of z^2 satisfy the i &nbs [#permalink] 21 Nov 2017, 19:51
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# If z is an integer, how many values of z^2 satisfy the i

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