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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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11 Aug 2019, 04:42
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50% (02:34) correct 50% (02:33) wrong based on 2 sessions

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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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11 Aug 2019, 06:34
1
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, 06:34