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N = 2^j 3^k , where j and k are positive integers. What is N?

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N = 2^j 3^k , where j and k are positive integers. What is N?  [#permalink]

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New post 06 Dec 2019, 20:42
1
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A
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C
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E

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  65% (hard)

Question Stats:

54% (02:11) correct 46% (02:36) wrong based on 35 sessions

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N = \(2^j\) \(3^k\), where j and k are positive integers. What is N?

Statement (1): 2 is a divisor of N, but 4 is not.

Statement (2): N is a divisor of 36, but not of 24.
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Re: N = 2^j 3^k , where j and k are positive integers. What is N?  [#permalink]

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New post 06 Dec 2019, 21:10
Statement 1: 2 is divisor of N but 4 (2^2)Not. Hence j =1 but we know nothing about k
If k=1 N =6
If k=2 N =18
Not sufficient
Statement 2:
36= (2*3)^2
24= 2^3* 3^1
N is a divisor of 36 but not of 24.
So N could be 9, 18 or 36.
Not sufficient
Combining:
It has to be a multiple of 2 but not 4.
Only option is 18=2x9.
Sufficient
Answer: C

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Re: N = 2^j 3^k , where j and k are positive integers. What is N?   [#permalink] 06 Dec 2019, 21:10
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N = 2^j 3^k , where j and k are positive integers. What is N?

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