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If 15 is a factor of 25N², which of the following must be a factor of

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If 15 is a factor of 25N², which of the following must be a factor of [#permalink] New post   03 Jun 2022, 09:50
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If 15 is a factor of 25N², which of the following must be a factor of N?

I. 3
II. 5
III. 75

(A) None
(B) I only
(C) II only
(D) I and II only
(E) I and III only
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Re: If 15 is a factor of 25N², which of the following must be a factor of [#permalink] New post   03 Jun 2022, 21:35
(E) I and III only
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Re: If 15 is a factor of 25N², which of the following must be a factor of [#permalink] New post   05 Jun 2022, 07:00
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GreenlightTestPrep wrote:
If 15 is a factor of 25N², which of the following must be a factor of N?

I. 3
II. 5
III. 75

(A) None
(B) I only
(C) II only
(D) I and II only
(E) I and III only

If 15 is a factor of 25N², then it could be the case that N = √3, because that would mean 25N² = 25(√3)² = 25(3) = 75, and 15 is a factor of 75.

If N = √3, then none of the possible values (3, 5 or 75) are factors of N

Answer: A
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Re: If 15 is a factor of 25N², which of the following must be a factor of [#permalink] New post   08 Jun 2024, 16:31
Hello from the GRE Prep Club BumpBot!

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Re: If 15 is a factor of 25N², which of the following must be a factor of [#permalink]
08 Jun 2024, 16:31
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