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MAA AMC
AMC 10
2021 AMC 10 Fall
1
Please no silly
Please no silly
Source: AMC 10B #1
November 17, 2021
AMC
AMC 10
AMC 12
AMC 10 B
AMC 12 B
Problem Statement
What is the value of
1234
+
2341
+
3412
+
4123
1234+2341+3412+4123
1234
+
2341
+
3412
+
4123
?
<
s
p
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(
A
)
<
/
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p
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>
10
,
000
<
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(
B
)
<
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p
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>
10
,
010
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(
C
)
<
/
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p
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>
10
,
110
<
s
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c
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a
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a
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−
b
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>
(
D
)
<
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s
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>
11
,
000
<
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−
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(
E
)
<
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>
11
,
110
<span class='latex-bold'>(A) </span> 10,000 \qquad <span class='latex-bold'>(B) </span>10,010 \qquad <span class='latex-bold'>(C) </span>10,110 \qquad <span class='latex-bold'>(D) </span>11,000 \qquad <span class='latex-bold'>(E) </span>11,110
<
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an
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a
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−
b
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(
A
)
<
/
s
p
an
>
10
,
000
<
s
p
an
c
l
a
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=
′
l
a
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x
−
b
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d
′
>
(
B
)
<
/
s
p
an
>
10
,
010
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
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d
′
>
(
C
)
<
/
s
p
an
>
10
,
110
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
D
)
<
/
s
p
an
>
11
,
000
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
E
)
<
/
s
p
an
>
11
,
110
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