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# Which of the following is a possible value of k for which -24/(k)^(1/2

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Math Expert
Joined: 02 Sep 2009
Posts: 65841
Which of the following is a possible value of k for which -24/(k)^(1/2  [#permalink]

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23 Jun 2020, 05:49
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Difficulty:

15% (low)

Question Stats:

82% (00:37) correct 18% (00:25) wrong based on 34 sessions

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Which of the following is a possible value of k for which $$\frac{-24}{\sqrt{k}}$$ is an integer ?

I. 9
II. 16
III. 64

A. I only
B. II only
C. I and II only
D. II and III only
E. I, II, and III

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Joined: 16 May 2011
Posts: 283
Concentration: Finance, Real Estate
GMAT Date: 12-27-2011
WE: Law (Law)
Re: Which of the following is a possible value of k for which -24/(k)^(1/2  [#permalink]

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23 Jun 2020, 05:59
-24 is also 3*8 or 6*4 or 12*2 or 24*1
So it could be any of the numbers
64 root is 8
16 root is 4
9 root is 3

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Re: Which of the following is a possible value of k for which -24/(k)^(1/2  [#permalink]

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23 Jun 2020, 06:14

We can plug in the value of K
√9 = 3
√16= 4
√64 = 8

-24 is divisible by 3 , 4 and 8.
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Re: Which of the following is a possible value of k for which -24/(k)^(1/2  [#permalink]

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23 Jun 2020, 06:41
Which of the following is a possible value of k for which -24/√k is an integer ?

I. 9
=> -24/√9
=> -24/3
=> -8 (integer) (correct)

II. 16
=> -24/√16
=> -24/4
=> -6 (integer) (correct)

III. 64
=> -24/√64
=> -24/8
=> -3 (integer) (correct)

All are satisfying

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Re: Which of the following is a possible value of k for which -24/(k)^(1/2   [#permalink] 23 Jun 2020, 06:41