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Is the value of 3^a/3^b a prime number?

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Joined: 02 Sep 2009
Posts: 41884

Kudos [?]: 128713 [0], given: 12182

Is the value of 3^a/3^b a prime number? [#permalink]

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New post 05 Sep 2017, 04:48
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Question Stats:

75% (00:42) correct 25% (00:48) wrong based on 45 sessions

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Kudos [?]: 128713 [0], given: 12182

Director
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Joined: 18 Aug 2016
Posts: 511

Kudos [?]: 139 [0], given: 123

GMAT 1: 630 Q47 V29
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Re: Is the value of 3^a/3^b a prime number? [#permalink]

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New post 05 Sep 2017, 04:56
Bunuel wrote:
Is the value of 3^a/3^b a prime number?

(1) a + b = 8
(2) a – b = 2


3^a/3^b can be written as 3^(a-b)

(1) not sufficient to get the value of a-b..suppose (a,b) as (5,3) then not prime but if (4.5, 3.5) then prime...not sufficient

(2) a-b = 2
3^2 = 9 not prime
Sufficient

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Kudos [?]: 139 [0], given: 123

Re: Is the value of 3^a/3^b a prime number?   [#permalink] 05 Sep 2017, 04:56
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Is the value of 3^a/3^b a prime number?

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