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GRE Prep Club Team Member
Joined: 20 Feb 2017
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If k and x are positive integers and x is divisible by 6, which of the
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27 May 2021, 21:04
27 May 2021, 21:04
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If k and x are positive integers and x is divisible by 6, which of the following CANNOT be the value of \(\sqrt{288kx}\) ?
(A) 24k√3
(B) 24√k
(C) 24√(3k)
(D) 24√(6k)
(E) 72√k
(A) 24k√3
(B) 24√k
(C) 24√(3k)
(D) 24√(6k)
(E) 72√k
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If k and x are positive integers and x is divisible by 6, which of the
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29 May 2021, 03:31
29 May 2021, 03:31
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GeminiHeat wrote:
If k and x are positive integers and x is divisible by 6, which of the following CANNOT be the value of \(\sqrt{288kx}\) ?
(A) 24k√3
(B) 24√k
(C) 24√(3k)
(D) 24√(6k)
(E) 72√k
(A) 24k√3
(B) 24√k
(C) 24√(3k)
(D) 24√(6k)
(E) 72√k
Let us play smart here and equate the option choices with \(\sqrt{288kx}\)
A. \(24k\sqrt{3} = \sqrt{288kx}\)
Squaring both sides:
\((576)(3)(k) = (288)(k)(x)\)
\(x = 6\): a multiple of 6
B. \(24\sqrt{k} = \sqrt{288kx}\)
Squaring both sides:
\((576)(k) = (288)(k)(x)\)
\(x = 2\): not a multiple of 6
We have our answer
Hence, option B
gmatclubot
If k and x are positive integers and x is divisible by 6, which of the [#permalink]
29 May 2021, 03:31
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