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MAA AMC
AMC 8
2016 AMC 8
5
5
Part of
2016 AMC 8
Problems
(1)
Can you Guess the Number?
Source: 2016 AMC 8 #5
11/23/2016
The number
N
N
N
is a two-digit number.[*]When
N
N
N
is divided by
9
9
9
, the remainder is
1
1
1
. [*]When
N
N
N
is divided by
10
10
10
, the remainder is
3
3
3
.What is the remainder when
N
N
N
is divided by
11
11
11
?
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A
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0
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B
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2
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C
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4
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D
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5
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E
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7
<span class='latex-bold'>(A) </span>0\qquad<span class='latex-bold'>(B) </span>2\qquad<span class='latex-bold'>(C) </span>4\qquad<span class='latex-bold'>(D) </span>5\qquad <span class='latex-bold'>(E) </span>7
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B
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2
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C
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4
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D
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5
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E
)
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7
AMC 8
2016 AMC 8