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gmatbusters
If m is a positive integer, what is the value of \((5^{3m})(27^{m-5})\)?

(1) \(2^m=32\)

(2) \(m^2-4m=5\)

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Given: m is a positive integer,
Asked: What is the value of \((5^{3m})(27^{m-5})\)?

Quote:
(1) \(2^m=32\)
m=5
SUFFICIENT

Quote:
(2) \(m^2-4m=5\)
m=5 or m=-1
Since m is a positive integer
m=-1 is not allowed
m=5
SUFFICIENT

IMO D
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