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BdMO National Higher Secondary 2008/3

Posted: Sun Feb 06, 2011 11:17 pm
by Moon
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.

Re: BdMO National Higher Secondary 2008/3

Posted: Sun Feb 10, 2019 6:17 pm
by samiul_samin
Hint
Use Modular Arithmatic
Answer
$\fbox{5}$