Skip to content / Đến nội dung
ThichHocToan.com

IKMC 2017 - Grades 11-12 - Self-study Question 17

IKMC · IKMC 2017 - Grades 11-12 - Self-study

Question 17

Julia has 2017 round discs available: 1009 black ones and 1008 white ones. Using them, she wants to lay the biggest square pattern (as shown) possible and starts by using a black disc in the left upper corner. Subsequently she lays the discs in such a way that the colours alternate in each row and column. How many discs are left over when she has laid the biggest square possible?

Question illustration
  1. None
  2. 40 of each colour
  3. 40 black and 41 white
  4. 41 of each colour
  5. 40 white and 41 black