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Australian AMC 2022 - Junior Question 18

AMC AUSTRALIA · Australian AMC 2022 - Junior

Question 18

In this grid, fill each square with either $\times$ or $\circ$ following two rules. In each row and column there must be three of each symbol. There cannot be three consecutive squares with the same symbol in any row or column. When the puzzle is solved, what is the arrangement in the three shaded squares in the lower left?

Question illustration
  1. $\times\ \circ\ \times$
  2. $\circ\ \times\ \circ$
  3. $\times\ \times\ \circ$
  4. $\circ\ \times\ \times$
  5. $\circ\ \circ\ \times$