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

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Math Expert
Joined: 02 Sep 2009
Posts: 59590
Is the value of 3^a/3^b a prime number?  [#permalink]

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05 Sep 2017, 04:48
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Difficulty:

35% (medium)

Question Stats:

68% (01:04) correct 32% (01:39) wrong based on 83 sessions

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

(1) a + b = 8
(2) a – b = 2

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

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05 Sep 2017, 04:56
1
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

B
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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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