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Contests
National and Regional Contests
Turkey Contests
National Olympiad First Round
2007 National Olympiad First Round
2
2
Part of
2007 National Olympiad First Round
Problems
(1)
Turkey NMO 2007 1st Round - P02 (Number Theory)
Source:
10/4/2012
What is the last three digits of base-4 representation of
10
⋅
3
195
⋅
4
9
49
10\cdot 3^{195}\cdot 49^{49}
10
⋅
3
195
⋅
4
9
49
?
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A
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112
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130
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C
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132
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212
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232
<span class='latex-bold'>(A)</span>\ 112 \qquad<span class='latex-bold'>(B)</span>\ 130 \qquad<span class='latex-bold'>(C)</span>\ 132 \qquad<span class='latex-bold'>(D)</span>\ 212 \qquad<span class='latex-bold'>(E)</span>\ 232
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112
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130
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132
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212
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232
modular arithmetic