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

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Manager
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Joined: 31 Jul 2017
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Kudos [?]: 17 [0], given: 376

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

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New post 19 Nov 2017, 18:44
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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
[Reveal] Spoiler: OA

Kudos [?]: 17 [0], given: 376

Intern
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B
Joined: 29 May 2012
Posts: 38

Kudos [?]: 5 [0], given: 11

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

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New post 19 Nov 2017, 18:59
Isn't it B? The only integer that satisfies the inequality is 0. Why C?

Kudos [?]: 5 [0], given: 11

Manager
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B
Joined: 31 Jul 2017
Posts: 121

Kudos [?]: 17 [0], given: 376

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

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New post 19 Nov 2017, 23:00
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.

Kudos [?]: 17 [0], given: 376

Intern
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Kudos [?]: 0 [0], given: 14

CAT Tests
Re: If z is an integer, how many values of z^2 satisfy the i [#permalink]

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New post 21 Nov 2017, 18:51
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

Kudos [?]: 0 [0], given: 14

Re: If z is an integer, how many values of z^2 satisfy the i   [#permalink] 21 Nov 2017, 18:51
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If z is an integer, how many values of z^2 satisfy the i

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