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# If 2 and 17 are factors of positive integer n, then which of the follo

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If 2 and 17 are factors of positive integer n, then which of the follo  [#permalink]

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Updated on: 02 Nov 2018, 01:20
Top Contributor
3
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Difficulty:

15% (low)

Question Stats:

74% (00:57) correct 26% (01:20) wrong based on 89 sessions

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If 2 and 17 are factors of positive integer n, then which of the following must also divide into n?

I. 34
II. 68
III. 136

A. I only
B. II only
C. I and II only
D. I and III only
E. None

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Originally posted by Baten80 on 30 Oct 2018, 23:27.
Last edited by Bunuel on 02 Nov 2018, 01:20, edited 1 time in total.
Edited the OA.
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Re: If 2 and 17 are factors of positive integer n, then which of the follo  [#permalink]

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30 Oct 2018, 23:34
Baten80 wrote:
If 2 and 17 are factors of positive integer n, then which of the following must also divide into n?

I. 34
II. 68
III. 136

A. I only

B. II only

C. I and II only

D. I and III only

E. None

LCm of 2 and 17 = 34

i.e. n MUST be divisible by 34 but we can not be certain whether n will be divisible by any multiple of 34 or not hence

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Re: If 2 and 17 are factors of positive integer n, then which of the follo  [#permalink]

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31 Oct 2018, 00:44
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68 is divisible by 17, so why c couldn't be answer?

Posted from my mobile device
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Re: If 2 and 17 are factors of positive integer n, then which of the follo  [#permalink]

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31 Oct 2018, 01:18
1
Baten80 wrote:
68 is divisible by 17, so why c couldn't be answer?

Posted from my mobile device

Baten80

Which of the following must divide into n means which of the following must be factor of n

68 is NOT essentially a factor of 34
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Re: If 2 and 17 are factors of positive integer n, then which of the follo  [#permalink]

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08 Nov 2018, 18:31
GMATinsight wrote:
Baten80 wrote:
68 is divisible by 17, so why c couldn't be answer?

Posted from my mobile device

Baten80

Which of the following must divide into n means which of the following must be factor of n

68 is NOT essentially a factor of 34

thanks for clearing that up!..
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Re: If 2 and 17 are factors of positive integer n, then which of the follo  [#permalink]

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14 Mar 2019, 07:17
Baten80 wrote:
If 2 and 17 are factors of positive integer n, then which of the following must also divide into n?

I. 34
II. 68
III. 136

A. I only
B. II only
C. I and II only
D. I and III only
E. None

Since the LCM of 2 and 17 is 34, we see that, of the answer choices, only 34 must divide into n.

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Re: If 2 and 17 are factors of positive integer n, then which of the follo   [#permalink] 14 Mar 2019, 07:17
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