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Source: — Data Sufficiency |

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by NikolayZ » Thu Nov 05, 2009 12:53 am
From 1. We know that the power of 2 might be only one. But we don't know the powers of 3. Insufficient.

stmt 2. 36=2*18=2*2*9=2*2*3*3.
24=2*12=2*2*6=2*2*2*3.
1,2,3,4,6,9,12,18,36. What from that list doesnt divide 24 ? it is 9,18 and 36. Stil N could be
from 9,18 and 36.
Combine both now. 9 doesn't have a factor of 2. ==> 18 and 36 left. 36 has TOO many two's for us in its prime factorization, however we know that the maximum number of 2's in N is 1. so 18=2^1*3^k,2*3^2=18.
C.