Difference between revisions of "2020 AMC 12B Problems"
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==Problem 22== | ==Problem 22== | ||
− | + | What is the remainder when <math>2^{202} +202</math> is divided by <math>2^{101}+2^{51}+1</math>? | |
+ | |||
+ | <math>\textbf{(A) } 100 \qquad\textbf{(B) } 101 \qquad\textbf{(C) } 200 \qquad\textbf{(D) } 201 \qquad\textbf{(E) } 202</math> | ||
[[2020 AMC 12B Problems/Problem 22|Solution]] | [[2020 AMC 12B Problems/Problem 22|Solution]] |
Revision as of 15:06, 7 February 2020
2020 AMC 12B (Answer Key) Printable versions: • AoPS Resources • PDF | ||
Instructions
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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 |
Contents
[hide]- 1 Problem 1
- 2 Problem 2
- 3 Problem 3
- 4 Problem 4
- 5 Problem 5
- 6 Problem 6
- 7 Problem 7
- 8 Problem 8
- 9 Problem 9
- 10 Problem 10
- 11 Problem 11
- 12 Problem 12
- 13 Problem 13
- 14 Problem 14
- 15 Problem 15
- 16 Problem 16
- 17 Problem 17
- 18 Problem 18
- 19 Problem 19
- 20 Problem 20
- 21 Problem 21
- 22 Problem 22
- 23 Problem 23
- 24 Problem 24
- 25 Problem 25
- 26 See also
Problem 1
These problems will not be available until the 2020 AMC 12B contest is released on Wednesday, February 5, 2020.
Problem 2
These problems will not be available until the 2020 AMC 12B contest is released on Wednesday, February 5, 2020.
Problem 3
These problems will not be available until the 2020 AMC 12B contest is released on Wednesday, February 5, 2020.
Problem 4
These problems will not be available until the 2020 AMC 12B contest is released on Wednesday, February 5, 2020.
Problem 5
These problems will not be available until the 2020 AMC 12B contest is released on Wednesday, February 5, 2020.
Problem 6
These problems will not be available until the 2020 AMC 12B contest is released on Wednesday, February 5, 2020.
Problem 7
These problems will not be available until the 2020 AMC 12B contest is released on Wednesday, February 5, 2020.
Problem 8
These problems will not be available until the 2020 AMC 12B contest is released on Wednesday, February 5, 2020.
Problem 9
These problems will not be available until the 2020 AMC 12B contest is released on Wednesday, February 5, 2020.
Problem 10
These problems will not be available until the 2020 AMC 12B contest is released on Wednesday, February 5, 2020.
Problem 11
These problems will not be available until the 2020 AMC 12B contest is released on Wednesday, February 5, 2020.
Problem 12
These problems will not be available until the 2020 AMC 12B contest is released on Wednesday, February 5, 2020.
Problem 13
These problems will not be available until the 2020 AMC 12B contest is released on Wednesday, February 5, 2020.
Problem 14
These problems will not be available until the 2020 AMC 12B contest is released on Wednesday, February 5, 2020.
Problem 15
These problems will not be available until the 2020 AMC 12B contest is released on Wednesday, February 5, 2020.
Problem 16
These problems will not be available until the 2020 AMC 12B contest is released on Wednesday, February 5, 2020.
Problem 17
These problems will not be available until the 2020 AMC 12B contest is released on Wednesday, February 5, 2020.
Problem 18
These problems will not be available until the 2020 AMC 12B contest is released on Wednesday, February 5, 2020.
Problem 19
These problems will not be available until the 2020 AMC 12B contest is released on Wednesday, February 5, 2020.
Problem 20
These problems will not be available until the 2020 AMC 12B contest is released on Wednesday, February 5, 2020.
Problem 21
In square , points and lie on and , respectively, so that Points and lie on and , respectively, and points and lie on so that and . See the figure below. Triangle , quadrilateral , quadrilateral , and pentagon each has area What is ?
Problem 22
What is the remainder when is divided by ?
Problem 23
These problems will not be available until the 2020 AMC 12B contest is released on Wednesday, February 5, 2020.
Problem 24
These problems will not be available until the 2020 AMC 12B contest is released on Wednesday, February 5, 2020.
Problem 25
These problems will not be available until the 2020 AMC 12B contest is released on Wednesday, February 5, 2020.
See also
2020 AMC 12B (Problems • Answer Key • Resources) | |
Preceded by 2020 AMC 12A Problems |
Followed by 2021 AMC 12A Problems |
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 |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.