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

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MHIKER
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If 2 and 17 are factors of positive integer n, then which of the follo [#permalink] New post   Updated on: 02 Nov 2018, 01:20
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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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A

Originally posted by MHIKER 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] New post   30 Oct 2018, 23:34
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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

Answer: Option A
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Re: If 2 and 17 are factors of positive integer n, then which of the follo [#permalink] New post   31 Oct 2018, 00:44
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68 is divisible by 17, so why c couldn't be answer?

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Re: If 2 and 17 are factors of positive integer n, then which of the follo [#permalink] New post   31 Oct 2018, 01:18
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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] New post   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] New post   14 Mar 2019, 07:17
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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.

Answer: A
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Re: If 2 and 17 are factors of positive integer n, then which of the follo [#permalink] New post   22 Mar 2023, 07:46
MHIKER 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

\(n = 2^x*17^y*............... \)(Any other number in the blank space and x and y can take any value)

So, n must also divide into 34, Answer must be (A) ,I
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Re: If 2 and 17 are factors of positive integer n, then which of the follo [#permalink]
22 Mar 2023, 07:46
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