Difference between revisions of "2025 AMC 8 Problems/Problem 21"
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| − | + | ==Problem== | |
The Konigsberg School has assigned grades 1 through 7 to pods <math>A</math> through <math>G</math>, one grade per | The Konigsberg School has assigned grades 1 through 7 to pods <math>A</math> through <math>G</math>, one grade per | ||
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levels. (For example, grades 1 and 2 will not be in pods directly connected by a walkway.) What is | 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 <math>C, E</math>, and <math>F</math>? | the sum of the grade levels assigned to pods <math>C, E</math>, and <math>F</math>? | ||
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<math>\textbf{(A)}~12\qquad\textbf{(B)}~13\qquad\textbf{(C)}~14\qquad\textbf{(D)}~15\qquad\textbf{(E)}~16</math> | <math>\textbf{(A)}~12\qquad\textbf{(B)}~13\qquad\textbf{(C)}~14\qquad\textbf{(D)}~15\qquad\textbf{(E)}~16</math> | ||
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==Solution 1== | ==Solution 1== | ||
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Currently no diagram, but by logic bash, we can arrive at the solution of <math>12</math> | Currently no diagram, but by logic bash, we can arrive at the solution of <math>12</math> | ||
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==Video Solution by Thinking Feet== | ==Video Solution by Thinking Feet== | ||
https://youtu.be/PKMpTS6b988 | https://youtu.be/PKMpTS6b988 | ||
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| + | ==See Also== | ||
| + | {{AMC8 box|year=2025|num-b=20|num-a=22}} | ||
| + | {{MAA Notice}} | ||
Revision as of 20:12, 30 January 2025
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 | ||
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. 
