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If a, b are positive integers, what is the value of b?

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If a, b are positive integers, what is the value of b? [#permalink]

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New post 15 Aug 2017, 08:27
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81% (00:55) correct 19% (00:36) wrong based on 37 sessions

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If a, b are positive integers, what is the value of b?

(1) \(2^a7^b=1,372\)

(2) a=2
[Reveal] Spoiler: OA

Last edited by Bunuel on 15 Aug 2017, 08:31, edited 1 time in total.
Renamed the topic and edited the question.
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Re: If a, b are positive integers, what is the value of b? [#permalink]

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New post 15 Aug 2017, 08:46
Bounce1987 wrote:
If a, b are positive integers, what is the value of b?

(1) \(2^a7^b=1,372\)

(2) a=2



Hi..

It is given that a and B are POSITIVE integers..
Statement I
\(2^a7^b=1372.....\)
Clearly sufficient as a and b will have unique values as 2 and 7 are co-prime.
Still if you were to find value of b, it is to realise that 1372=1400-28=14*100-14*2=14(100-2)=14*98=2*7*2*49=2^2*7^3..
b is 3..

Statement II..
Only a given
Insufficient

A
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Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html


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Re: If a, b are positive integers, what is the value of b?   [#permalink] 15 Aug 2017, 08:46
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If a, b are positive integers, what is the value of b?

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