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36^a = 2k, where k is odd. What is the value of 36a?

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Alhamdan1995
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36^a = 2k, where k is odd. What is the value of 36a? [#permalink] New post   17 Mar 2022, 05:40
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\(36a = 2k\), where k is odd. What is the value of \(36a\)?

A. 9
B. 18
C. 36
D. 45
E. 54
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B,E
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Carcass
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Re: 36^a = 2k, where k is odd. What is the value of 36a? [#permalink] New post   17 Mar 2022, 06:21
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Alhamdan1995 wrote:
\(36^a = 2k\), where k is odd. What is the value of \(36a\)?

A. 9
B. 18
C. 36
D. 45
E. 54



Is there some typo in the question ?

The OA ?
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rx10
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Re: 36^a = 2k, where k is odd. What is the value of 36a? [#permalink] New post   17 Mar 2022, 09:19
\(36a = 2k\) & \(k\) is odd

From the option, we can determine the value of \(36a\) so that \(k\) remains odd.

The only possible value for \(36a = 18\)

\(36a = 18 = 2k\)

\(k = 9\)

Answer \(B\)
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Re: 36^a = 2k, where k is odd. What is the value of 36a? [#permalink] New post   17 Mar 2022, 10:51
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Frankly I did not get the question. For me is badly worded. My opinion.

if K is odd then 2*odd must be even. But the question implies that the number should result odd.
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Re: 36^a = 2k, where k is odd. What is the value of 36a? [#permalink] New post   17 Mar 2022, 11:41
Why not ans is 54 too, 36a = 54 = 2k ---> k = 27, which is odd.

Both B and E are correct options imo
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36^a = 2k, where k is odd. What is the value of 36a? [#permalink] New post   17 Mar 2022, 19:10
It definitely is.

Carcass wrote:
Frankly I did not get the question. For me is badly worded. My opinion.

if K is odd then 2*odd must be even. But the question implies that the number should result odd.



You're right. Thanks for pointing it out.
I have edited the answers.

AkkuJi wrote:
Why not ans is 54 too, 36a = 54 = 2k ---> k = 27, which is odd.

Both B and E are correct options imo
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