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Re: GmatPrepTest2-Question1 [#permalink]
22 Feb 2009, 17:07
From the question stem it is given that \(m = (p^x) * (t ^ y)\). We can conclude that exponents - x>=1 and y >= 1. The question asked is " Is m a multiple of \((p^2) t\) ? ". We can also rephrase the question as "Is x >= 2 ?"
From stmt1 - m has more than 9 factors ==> (x+1)(y+1) >= 9 ==> we cannot say the value of x and y here. So insufficient.
From stmt2 - m is a multiple of \(p^3\) ==> x = 3 which is clearly > 2. Hence it is sufficient to say that m a multiple of \((p^2) t\) because y is atleast 1 from the given question clue, and x = 3 from the second statement.