MathDB
Problems
Contests
National and Regional Contests
USA Contests
MAA AMC
AMC 12/AHSME
2000 AMC 12/AHSME
18
18
Part of
2000 AMC 12/AHSME
Problems
(1)
Tuesdays
Source:
3/21/2008
In year
N
N
N
, the
30
0
th
300^\text{th}
30
0
th
day of the year is a Tuesday. In year N \plus{} 1, the
20
0
th
200^{\text{th}}
20
0
th
day of the year is also a Tuesday. On what day of the week did the
10
0
th
100^\text{th}
10
0
th
day of year N \minus{} 1 occur?
<
s
p
a
n
c
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b
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(
A
)
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a
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Thursday
<
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a
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(
B
)
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Friday
<
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c
l
a
s
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e
x
−
b
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>
(
C
)
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>
Saturday
<
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c
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a
s
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l
a
t
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x
−
b
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>
(
D
)
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a
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>
Sunday
<
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p
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c
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a
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′
l
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x
−
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>
(
E
)
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Monday
<span class='latex-bold'>(A)</span>\ \text{Thursday} \qquad <span class='latex-bold'>(B)</span>\ \text{Friday} \qquad <span class='latex-bold'>(C)</span>\ \text{Saturday} \qquad <span class='latex-bold'>(D)</span>\ \text{Sunday} \qquad <span class='latex-bold'>(E)</span>\ \text{Monday}
<
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p
an
c
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a
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l
a
t
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x
−
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(
A
)
<
/
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p
an
>
Thursday
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
B
)
<
/
s
p
an
>
Friday
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
C
)
<
/
s
p
an
>
Saturday
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
D
)
<
/
s
p
an
>
Sunday
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
E
)
<
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p
an
>
Monday
modular arithmetic