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Puerto Rico Team Selection Test
2012 Puerto Rico Team Selection Test
4
Puerto Rico 2012 TST Problem 4
Puerto Rico 2012 TST Problem 4
Source:
April 26, 2012
number theory proposed
number theory
Problem Statement
Let
a
,
b
,
c
,
d
a, b, c, d
a
,
b
,
c
,
d
be digits such that
d
>
c
>
b
>
a
≥
0
d > c > b > a \geq 0
d
>
c
>
b
>
a
≥
0
. How many numbers of the form
1
a
1
b
1
c
1
d
1
1a1b1c1d1
1
a
1
b
1
c
1
d
1
are multiples of
33
33
33
?
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