MathDB
P16 [Combinatorics] - Turkish NMO 1st Round - 2005

Source:

November 8, 2013

Problem Statement

100100 stones, each weighs 11 kg or 1010 kgs or 5050 kgs, weighs 500500 kgs in total. How many values can the number of stones weighing 1010 kgs take?
<spanclass=latexbold>(A)</span> 0<spanclass=latexbold>(B)</span> 1<spanclass=latexbold>(C)</span> 2<spanclass=latexbold>(D)</span> 3<spanclass=latexbold>(E)</span> 4 <span class='latex-bold'>(A)</span>\ 0 \qquad<span class='latex-bold'>(B)</span>\ 1 \qquad<span class='latex-bold'>(C)</span>\ 2 \qquad<span class='latex-bold'>(D)</span>\ 3 \qquad<span class='latex-bold'>(E)</span>\ 4