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Problems
Contests
National and Regional Contests
Turkey Contests
National Olympiad First Round
2012 National Olympiad First Round
6
6
Part of
2012 National Olympiad First Round
Problems
(1)
Turkish NMO First Round - 2012 Problem - 06 {Number Theory}
Source:
7/1/2012
Which one statisfies
n
29
≡
7
(
m
o
d
65
)
n^{29} \equiv 7 \pmod {65}
n
29
≡
7
(
mod
65
)
?
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37
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39
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43
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46
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55
<span class='latex-bold'>(A)</span>\ 37 \qquad <span class='latex-bold'>(B)</span>\ 39 \qquad <span class='latex-bold'>(C)</span>\ 43 \qquad <span class='latex-bold'>(D)</span>\ 46 \qquad <span class='latex-bold'>(E)</span>\ 55
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39
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43
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46
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55
modular arithmetic