Art of Problem Solving

2025 AMC 12A Problems/Problem 1: Difference between revisions

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{{duplicate|[[2025 AMC 10A Problems/Problem 1|2025 AMC 10A #1]] and [[2025 AMC 12A Problems/Problem 1|2025 AMC 12A #1]]}}
{{duplicate|[[2025 AMC 10A Problems/Problem 1|2025 AMC 10A #1]] and [[2025 AMC 12A Problems/Problem 1|2025 AMC 12A #1]]}}


==Problem==
Please do not post false problems.
 
Find the smallest positive integer <math>k</math> such that <math>2^{91}+k</math> is divisible by <math>127</math>.
 
<math>\textbf{(A)}~122\qquad\textbf{(B)}~123\qquad\textbf{(C)}~124\qquad\textbf{(D)}~125\qquad\textbf{(E)}~126</math>


==Solution==
==Solution==

Revision as of 10:56, 3 August 2025

The following problem is from both the 2025 AMC 10A #1 and 2025 AMC 12A #1, so both problems redirect to this page.

Please do not post false problems.

Solution

See also

2025 AMC 10A (ProblemsAnswer KeyResources)
Preceded by
First Problem
Followed by
Problem 2
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 AMC 10 Problems and Solutions
2025 AMC 12A (ProblemsAnswer KeyResources)
Preceded by
First Problem
Followed by
Problem 2
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 AMC 12 Problems and Solutions

These problems are copyrighted © by the Mathematical Association of America.