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2025 AMC 8 Problems: Difference between revisions

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2025 AMC 8 Problem 11
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==Problem 11==
==Problem 11==


The 2025 AMC 8 is not held yet. '''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>


==Problem 12==
==Problem 12==

Revision as of 06:07, 23 February 2024

Problem 1

Let $m$ and $n$ be $2$ integers such that $m>n$. Suppose $m+n=20$, $m^2+n^2=328$, find $m^2-n^2$.

$\textbf{(A)}\ 280 \qquad \textbf{(B)}\ 292 \qquad \textbf{(C)}\ 300 \qquad \textbf{(D)}\ 320 \qquad \textbf{(E)}\ 340$

Problem 2

The 2025 AMC 8 is not held yet. Please do not post false problems.

Problem 3

The 2025 AMC 8 is not held yet. Please do not post false problems.

Problem 4

The 2025 AMC 8 is not held yet. Please do not post false problems.

Problem 5

The 2025 AMC 8 is not held yet. Please do not post false problems.

Problem 6

The 2025 AMC 8 is not held yet. Please do not post false problems.

Problem 7

The 2025 AMC 8 is not held yet. Please do not post false problems.

Problem 8

The 2025 AMC 8 is not held yet. Please do not post false problems.

Problem 9

The 2025 AMC 8 is not held yet. Please do not post false problems.

Problem 10

The 2025 AMC 8 is not held yet. Please do not post false problems.

Problem 11

Find the smallest positive integer $k$ such that $(2^{91}+k)$ is divisible by $127$.

$\textbf{(A)}\ 122 \qquad \textbf{(B)}\ 123 \qquad \textbf{(C)}\ 124 \qquad \textbf{(D)}\ 125 \qquad \textbf{(E)}\ 126$

Problem 12

The 2025 AMC 8 is not held yet. Please do not post false problems.

Problem 13

The 2025 AMC 8 is not held yet. Please do not post false problems.

Problem 14

The 2025 AMC 8 is not held yet. Please do not post false problems.

Problem 15

The 2025 AMC 8 is not held yet. Please do not post false problems.

Problem 16

The 2025 AMC 8 is not held yet. Please do not post false problems.

Problem 17

The 2025 AMC 8 is not held yet. Please do not post false problems.

Problem 18

The 2025 AMC 8 is not held yet. Please do not post false problems.

Problem 19

The 2025 AMC 8 is not held yet. Please do not post false problems.

Problem 20

The 2025 AMC 8 is not held yet. Please do not post false problems.

Problem 21

The 2025 AMC 8 is not held yet. Please do not post false problems.

Problem 22

The 2025 AMC 8 is not held yet. Please do not post false problems.

Problem 23

The 2025 AMC 8 is not held yet. Please do not post false problems.

Problem 24

The 2025 AMC 8 is not held yet. Please do not post false problems.

Problem 25

The 2025 AMC 8 is not held yet. Please do not post false problems.

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