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If n is an integer divisible by 6 but not by 4, then which of the foll

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Math Expert
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If n is an integer divisible by 6 but not by 4, then which of the foll  [#permalink]

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New post 24 Feb 2019, 23:58
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

64% (00:53) correct 36% (01:03) wrong based on 58 sessions

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Concentration: Accounting, Finance
GPA: 3.68
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Re: If n is an integer divisible by 6 but not by 4, then which of the foll  [#permalink]

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New post 25 Feb 2019, 00:41
Bunuel wrote:
If n is an integer divisible by 6 but not by 4, then which of the following CANNOT be an integer?

A. \(\frac{n}{2}\)

B. \(\frac{n}{3}\)

C. \(\frac{n}{6}\)

D. \(\frac{n}{10}\)

E. \(\frac{n}{12}\)



n is divisible by 6 NOT by 4.

n = 6, 18, 30, 42, 54.

E is the correct answer.
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Re: If n is an integer divisible by 6 but not by 4, then which of the foll  [#permalink]

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New post 25 Feb 2019, 01:13
Bunuel wrote:
If n is an integer divisible by 6 but not by 4, then which of the following CANNOT be an integer?

A. \(\frac{n}{2}\)

B. \(\frac{n}{3}\)

C. \(\frac{n}{6}\)

D. \(\frac{n}{10}\)

E. \(\frac{n}{12}\)



okay

n is an integer divisible by 6 but not by 4, means that all other factor of n other than 6 is odd, so there is a single 2 in n

for an integer to be divisible by 4, it has to have at least 2 "2s"

so here in option E, 12 has 2 "2s" and hence, 12 cannot divide n as it has only 1 "2"

so, I think "E" can be the answer

thanks
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Re: If n is an integer divisible by 6 but not by 4, then which of the foll  [#permalink]

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New post 25 Feb 2019, 01:24
Bunuel wrote:
If n is an integer divisible by 6 but not by 4, then which of the following CANNOT be an integer?

A. \(\frac{n}{2}\)

B. \(\frac{n}{3}\)

C. \(\frac{n}{6}\)

D. \(\frac{n}{10}\)

E. \(\frac{n}{12}\)


let n = 30
so all are correct
except
\(\frac{n}{12}\)
IMO E
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Re: If n is an integer divisible by 6 but not by 4, then which of the foll   [#permalink] 25 Feb 2019, 01:24
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If n is an integer divisible by 6 but not by 4, then which of the foll

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