If n and m are positive integers, what is the remainder when 3^(4n+2) is divided by 10?
(1) n = 2
(2) m = 1
(1) n = 2
(2) m = 1
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Remainder Problem
Source: Beat The GMAT — Data Sufficiency |
IMO - A
If you see powers of 3 when divided by 10 yeild remainders in a pattern
3^1 - remainder 3
3^2 - remainder 9
3^3 - remainder 7
3^4 - remainder 1
3^5 - remainder 3
and the pattern repeats as 3,7,9,1,3,7,9,1 etc
therefore 4n+1 powers yeild remainder 3
4n+2 powers yeild remainder 9
etc
now from A) n=2
Therefore we want to find (3^10)/10 = 7
Therefore A is sufficient
B) gives the value of M which is insufficient as m doesnt come into the picture here.
Hope this helps.
Let me know if the OA ia A.
If you see powers of 3 when divided by 10 yeild remainders in a pattern
3^1 - remainder 3
3^2 - remainder 9
3^3 - remainder 7
3^4 - remainder 1
3^5 - remainder 3
and the pattern repeats as 3,7,9,1,3,7,9,1 etc
therefore 4n+1 powers yeild remainder 3
4n+2 powers yeild remainder 9
etc
now from A) n=2
Therefore we want to find (3^10)/10 = 7
Therefore A is sufficient
B) gives the value of M which is insufficient as m doesnt come into the picture here.
Hope this helps.
Let me know if the OA ia A.
Where is the m in question stem, check in case you have typed it correctly....Onigbogi Tosin wrote:If n and m are positive integers, what is the remainder when 3^(4n+2) is divided by 10?
(1) n = 2
(2) m = 1
Charged up again to beat the beast 
I actually got the question from the GMAT PREP, and the answer there is B.sanjana wrote:IMO - A
If you see powers of 3 when divided by 10 yeild remainders in a pattern
3^1 - remainder 3
3^2 - remainder 9
3^3 - remainder 7
3^4 - remainder 1
3^5 - remainder 3
and the pattern repeats as 3,7,9,1,3,7,9,1 etc
therefore 4n+1 powers yeild remainder 3
4n+2 powers yeild remainder 9
etc
now from A) n=2
Therefore we want to find (3^10)/10 = 7
Therefore A is sufficient
B) gives the value of M which is insufficient as m doesnt come into the picture here.
Hope this helps.
Let me know if the OA ia A.
I actually got the question from the GMAT PREP, and the answer there is B.sanjana wrote:IMO - A
If you see powers of 3 when divided by 10 yeild remainders in a pattern
3^1 - remainder 3
3^2 - remainder 9
3^3 - remainder 7
3^4 - remainder 1
3^5 - remainder 3
and the pattern repeats as 3,7,9,1,3,7,9,1 etc
therefore 4n+1 powers yeild remainder 3
4n+2 powers yeild remainder 9
etc
now from A) n=2
Therefore we want to find (3^10)/10 = 7
Therefore A is sufficient
B) gives the value of M which is insufficient as m doesnt come into the picture here.
Hope this helps.
Let me know if the OA ia A.
I got the question from the Gmat Prep, and the answer there is Bmaihuna wrote:Where is the m in question stem, check in case you have typed it correctly....Onigbogi Tosin wrote:If n and m are positive integers, what is the remainder when 3^(4n+2) is divided by 10?
(1) n = 2
(2) m = 1
It is definitely a GMAT PREP question and the answer there is Bglorydefined wrote:IMO :A , but this is defenitely not a GMAT question...
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Stuart@KaplanGMAT
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How can the answer possibly be B when there's no "m" in the question? You definitely missed part of the question.Onigbogi Tosin wrote:If n and m are positive integers, what is the remainder when 3^(4n+2) is divided by 10?
(1) n = 2
(2) m = 1
Stuart Kovinsky | Kaplan GMAT Faculty | Toronto
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