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Data Sufficiency (DS) | Re: If a, b are positive integers, what is the value of b?

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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..
StatementI
\(2^a7^b=1372.....\)
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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