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Re: GMATprep : remainder [#permalink]
28 Jan 2008, 15:27
This post received KUDOS
3^1=3 3^2=9 3^3=27 3^4=81 3^5=243 3^6=729 etc
and there's a pattern.
3^(4n+2) means that for whatever integer n it will be 3^6, 3^10, 3^14, etc...and since we're dealing with a cycle of 4 (see above) they'll all have the same remainder when divided by 10. In this case that remainder will be 9. We just need to know what m is. Statement 2 is sufficient, and there will be no remainder.