Remainder Problem

Please, I really need solution to this problem. Thanks

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.

IMO :A , but this is defenitely not a GMAT 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

Where is the m in question stem, check in case you have typed it correctly....

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 actually got the question from the GMAT PREP, and the answer there is B.

maihuna wrote:

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

Where is the m in question stem, check in case you have typed it correctly....

I got the question from the Gmat Prep, and the answer there is B

glorydefined wrote:IMO :A , but this is defenitely not a GMAT question...

It is definitely a GMAT PREP question and the answer there is B

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

How can the answer possibly be B when there's no "m" in the question? You definitely missed part of the question.