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National Olympiad First Round
2014 National Olympiad First Round
22
P22 [Number Theory] - Turkish NMO 1st Round - 2014
P22 [Number Theory] - Turkish NMO 1st Round - 2014
Source:
May 26, 2014
modular arithmetic
number theory
Problem Statement
What is remainder when
201
4
2015
2014^{2015}
201
4
2015
is divided by
121
121
121
?
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A
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45
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B
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34
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C
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23
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D
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12
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E
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1
<span class='latex-bold'>(A)</span>\ 45 \qquad<span class='latex-bold'>(B)</span>\ 34 \qquad<span class='latex-bold'>(C)</span>\ 23 \qquad<span class='latex-bold'>(D)</span>\ 12 \qquad<span class='latex-bold'>(E)</span>\ 1
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45
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B
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34
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C
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23
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D
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12
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E
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1
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