BMO Prep Help Watch

Johann von Gauss
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Hi, I am going through some BMO preparation questions. I'd just like to know whether or not I got the answers right or not; please don't give me the solutions, or even clues. Thanks very much in advance.


What is the remainder when 2015^2015 is divided by 11?
My answer (using modulus arithmetic): 10
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ghostwalker
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(Original post by Johann von Gauss)
What is the remainder when 2015^2015 is divided by 11?
My answer (using modulus arithmetic): 10
Agreed.
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joostan
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(Original post by Johann von Gauss)
Hi, I am going through some BMO preparation questions. I'd just like to know whether or not I got the answers right or not; please don't give me the solutions, or even clues. Thanks very much in advance.


What is the remainder when 2015^2015 is divided by 11?
My answer (using modulus arithmetic): 10
When in doubt you can always check with my good friend Wolfram.
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Johann von Gauss
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Thanks people

Find the sum of all five-digit odd integers which only contain the digits 2, 3, 5, 7

Answer: 36,266,880?

-I looked at number of integers, then multiplied by [11110(2+3+5+7) + 1/3(3+5+7)]
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Johann von Gauss
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Thanks very much arkanm, it is greatly appreciated! Not too confident how I'd solve the BMO2 problem, but I'll certainly give it a go! :wink:
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