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Australian AMC 2022 - Junior Question 22

AMC AUSTRALIA · Australian AMC 2022 - Junior

Question 22

On a large grid, rows and columns are numbered as shown. All squares in row 1 are shaded. Every second square in row 2 is shaded, every third square in row 3, and so on. Thus each column has certain squares shaded. For example, column 6 has the three shaded squares shown and one more in row 6. In column 105, how many squares are shaded?

Question illustration
  1. 3
  2. 4
  3. 8
  4. 12
  5. 35