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If 2n is a divisor of 1680 and 2m is not a divisor of 1680, where m =

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If 2n is a divisor of 1680 and 2m is not a divisor of 1680, where m =  [#permalink]

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New post 11 Aug 2019, 05:42
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If \(2n\) is a divisor of 1680 and \(2m\) is not a divisor of 1680, where \(m = n + 1\), what is the value of \(n\)?

A. 2

B. 3

C. 4

D. 5

E. 6

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Re: If 2n is a divisor of 1680 and 2m is not a divisor of 1680, where m =  [#permalink]

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New post 11 Aug 2019, 07:34
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SajjadAhmad wrote:
If \(2n\) is a divisor of 1680 and \(2m\) is not a divisor of 1680, where \(m = n + 1\), what is the value of \(n\)?

A. 2

B. 3

C. 4

D. 5

E. 6


As the question is written, it has many correct answers. Surely the letters in the question are meant to be exponents - the question only makes sense if it reads:

"If \(2^n\) is a divisor of 1680 and \(2^m\) is not a divisor of 1680, where \(m = n + 1\), what is the value of \(n\)"

though there are still problems with the wording (among them, the question needs to tell you that n is an integer).

Since 1680 = 16*105 = (2^4)(105), we can divide 1680 by 2^4 but not by 2^5, so the answer to what I assume is the intended question is 4. What is the source?
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Re: If 2n is a divisor of 1680 and 2m is not a divisor of 1680, where m =   [#permalink] 11 Aug 2019, 07:34
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