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# What is the value of integer k? (1) k^2 < 16 (2) -60 < k^3 < -20

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Math Expert
Joined: 02 Sep 2009
Posts: 57191
What is the value of integer k? (1) k^2 < 16 (2) -60 < k^3 < -20  [#permalink]

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23 Apr 2018, 21:43
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Difficulty:

25% (medium)

Question Stats:

66% (01:04) correct 34% (01:12) wrong based on 79 sessions

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What is the value of integer k?

(1) k^2 < 16
(2) -60 < k^3 < -20

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Intern
Joined: 11 Sep 2017
Posts: 46
GMAT 1: 600 Q42 V31
What is the value of integer k? (1) k^2 < 16 (2) -60 < k^3 < -20  [#permalink]

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23 Apr 2018, 23:59
What is the value of integer k?

(1) k^2 < 16
(2) -60 < k^3 < -20

1) K^2 can be 1/ 4 / 9 ..... Insufficient

2) K^3 can only be -27 for integer k. --- sufficient

Manager
Joined: 07 Apr 2018
Posts: 102
Re: What is the value of integer k? (1) k^2 < 16 (2) -60 < k^3 < -20  [#permalink]

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24 Apr 2018, 00:51
Given : k is an integer => k can be -I, 0, +I
To find: k

1) k^2 < 16
-4<k<4 Not Sufficient

2) -60 < k^3 < -20
Possible values/value for k = -3
as (-3)^3 = -27
Sufficient

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Re: What is the value of integer k? (1) k^2 < 16 (2) -60 < k^3 < -20  [#permalink]

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25 Apr 2018, 01:33
k is an integer. k=?

1) k^2 < 16
here, k maybe a positive or negative integer. Insufficient

2) -60 < k^3 < -20
k can only be (-3) by trial and error method of placing negative integers in place of k in this equation. Sufficient.

Director
Joined: 02 Oct 2017
Posts: 726
Re: What is the value of integer k? (1) k^2 < 16 (2) -60 < k^3 < -20  [#permalink]

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09 May 2018, 19:41
I) k^2<16

Means -4<k<4. No single value
Insufficient

II)-60<k^3<-20

K is negative as cube of number gives negative
Only value k=-3 qualifies for this case

Sufficient

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Intern
Joined: 24 Aug 2017
Posts: 8
GPA: 3.67
Re: What is the value of integer k? (1) k^2 < 16 (2) -60 < k^3 < -20  [#permalink]

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05 Aug 2019, 19:04
I put E as an answer because I thought at -3.5 could also be an answer since -3.5^2 < 16 And -3.5^3 is also smaller than -20....

Why does K have to even be an integer ?

Bunuel
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Joined: 02 Sep 2009
Posts: 57191
Re: What is the value of integer k? (1) k^2 < 16 (2) -60 < k^3 < -20  [#permalink]

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06 Aug 2019, 00:25
TheMBmonster wrote:
I put E as an answer because I thought at -3.5 could also be an answer since -3.5^2 < 16 And -3.5^3 is also smaller than -20....

Why does K have to even be an integer ?

Bunuel

Because the stem says so: What is the value of integer k?
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Re: What is the value of integer k? (1) k^2 < 16 (2) -60 < k^3 < -20   [#permalink] 06 Aug 2019, 00:25
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