Problem 8 · 2011 Math Kangaroo
Medium
Spatial & Visual Reasoning
path-tracing
Show answer
Answer: D — Table D.
Show hints
Hint 1 of 2
Consecutive letters must sit in cells that touch at an edge or corner.
Still stuck? Show hint 2 →
Hint 2 of 2
Try to trace the word KANGAROO through each table; one path is impossible.
Show solution
Approach: test the touching-cells path in each table
- Each next letter must go in a cell sharing at least a corner with the previous letter's cell.
- Tracing K-A-N-G-A-R-O-O through the cells, four of the tables allow a valid path.
- In table D the required step cannot be made—two consecutive letters land in cells that do not touch.
- So D is the table Andrew could not produce.
Mark:
· log in to save