BdMO National Higher Secondary 2008/3

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Moon
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BdMO National Higher Secondary 2008/3

Unread post by Moon » Sun Feb 06, 2011 11:17 pm

Problem 3:
Let $a$ be an integer. The number $m$ which has the form $m = 4a + 3$ is a multiple of $11$. If we divide $a^4$ By $11$, what is the remainder? Show with proof.
"Inspiration is needed in geometry, just as much as in poetry." -- Aleksandr Pushkin

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samiul_samin
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Re: BdMO National Higher Secondary 2008/3

Unread post by samiul_samin » Sun Feb 10, 2019 6:17 pm

Hint
Use Modular Arithmatic
Answer
$\fbox{5}$

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