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IKMC 2009 - Grades 5-6 Question 26

IKMC · IKMC 2009 - Grades 5-6

Question 26

Kangaroo thinks of an integer number and places it in box $A$. Then he follows one of the possible paths indicated by the arrows and perform the corresponding operations. Can Kangaroo obtain the number 2009 when arriving at the box $B$?

Question illustration
  1. Yes, going for the three possible paths.
  2. Yes, going for two of the paths, and beginning with the same number in both paths.
  3. Yes, going for two of the paths, and beginning with different number in both paths.
  4. Yes, only going for one of the possible paths.
  5. No, it’s not possible.