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

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Manager
Joined: 06 Jul 2014
Posts: 94
Location: India
Concentration: Finance, Entrepreneurship
GMAT 1: 660 Q48 V32
If a, b are positive integers, what is the value of b?  [#permalink]

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Updated on: 15 Aug 2017, 09:31
00:00

Difficulty:

15% (low)

Question Stats:

89% (01:12) correct 11% (01:12) wrong based on 46 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

Originally posted by Bounce1987 on 15 Aug 2017, 09:27.
Last edited by Bunuel on 15 Aug 2017, 09:31, edited 1 time in total.
Renamed the topic and edited the question.
Math Expert
Joined: 02 Aug 2009
Posts: 7556
Re: If a, b are positive integers, what is the value of b?  [#permalink]

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15 Aug 2017, 09:46
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
_________________
Re: If a, b are positive integers, what is the value of b?   [#permalink] 15 Aug 2017, 09:46
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