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Numbers a and b are positive integers. If [m]a^4-b^4[/m] is divided by

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Joined: 20 Nov 2017
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Numbers a and b are positive integers. If [m]a^4-b^4[/m] is divided by  [#permalink]

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25 Jul 2018, 04:38
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Numbers a and b are positive integers. If $$a^4-b^4$$ is divided by 3, what is the remainder?

1) When $$a+b$$ is divided by 3, the remainder is 0
2) When $$a^2+b^2$$ is divided by 3, the remainder is 2
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Joined: 02 Sep 2009
Posts: 47920
Re: Numbers a and b are positive integers. If [m]a^4-b^4[/m] is divided by  [#permalink]

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25 Jul 2018, 04:44
KarthikvsGMAT wrote:
Numbers a and b are positive integers. If $$a^4-b^4$$ is divided by 3, what is the remainder?

1) When $$a+b$$ is divided by 3, the remainder is 0
2) When $$a^2+b^2$$ is divided by 3, the remainder is 2

Discussed here: https://gmatclub.com/forum/numbers-a-an ... 62219.html
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Re: Numbers a and b are positive integers. If [m]a^4-b^4[/m] is divided by &nbs [#permalink] 25 Jul 2018, 04:44
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