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MathNet 2005 — Part 03 Question 31

Math Olympiad Vault · MathNet 2005 — Part 03

Question 31

On a $75 \times 75$ chessboard the rows and columns are numbered from 1 to 75. Chiara wants to place a pawn in all and only the squares that have an even coordinate and the other a multiple of 3. How many pawns will she place on the board in total?