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Problems
Contests
National and Regional Contests
Turkey Contests
National Olympiad First Round
2009 National Olympiad First Round
30
30
Part of
2009 National Olympiad First Round
Problems
(1)
Is a^2 + b^2 + c^2 a perfect square?
Source: 0
4/28/2009
How many of 11^2 \plus{} 13^2 \plus{} 17^2, 24^2 \plus{} 25^2 \plus{} 26^2, 12^2 \plus{} 24^2 \plus{} 36^2, 11^2 \plus{} 12^2 \plus{} 132^2 are perfect square ?
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<span class='latex-bold'>(A)</span>\ 4 \qquad<span class='latex-bold'>(B)</span>\ 3 \qquad<span class='latex-bold'>(C)</span>\ 2 d)1 \qquad<span class='latex-bold'>(E)</span>\ 0
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modular arithmetic