2025 AMC 8 Problems/Problem 21
Problem
The Konigsberg School has assigned grades 1 through 7 to pods 
through 
, one grade per
pod. Some of the pods are connected by walkways, as shown in the figure below. The school
noticed that each pair of connected pods has been assigned grades differing by 2 or more grade
levels. (For example, grades 1 and 2 will not be in pods directly connected by a walkway.) What is
the sum of the grade levels assigned to pods 
, and 
?
Solution 1
Currently no diagram, but by logic bash, we can arrive at the solution of 
~shreyan.chethan
Video Solution by Thinking Feet
See Also
| 2025 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 20 |
Followed by Problem 22 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AJHSME/AMC 8 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
