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National and Regional Contests
Turkey Contests
National Olympiad First Round
2008 National Olympiad First Round
28
28
Part of
2008 National Olympiad First Round
Problems
(1)
Turkey NMO 2008 1st Round - P28 (Combinatorics)
Source:
8/26/2012
A unit square from one of the corners of a
8
×
8
8\times 8
8
×
8
chessboard is cut and thrown. At least how many triangles are necessary to divide the new board into triangles with equal areas?
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17
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B
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19
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C
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20
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D
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21
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None of the above
<span class='latex-bold'>(A)</span>\ 17 \qquad<span class='latex-bold'>(B)</span>\ 19 \qquad<span class='latex-bold'>(C)</span>\ 20 \qquad<span class='latex-bold'>(D)</span>\ 21 \qquad<span class='latex-bold'>(E)</span>\ \text{None of the above}
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17
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B
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19
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C
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20
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D
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21
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E
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None of the above
geometry