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2014-2015 SDML (Middle School)
8
Five digit number with divisibility properties
Five digit number with divisibility properties
Source: 2014-2015 SDML Middle School 1a Problem 8
August 28, 2016
Problem Statement
If the five-digit number
3
A
B
7
C
3AB7C
3
A
B
7
C
is divisible by
4
4
4
and
9
9
9
and
A
<
B
<
C
A<B<C
A
<
B
<
C
, what is
A
+
B
+
C
A+B+C
A
+
B
+
C
?
(A)
3
(B)
8
(C)
9
(D)
17
(E)
26
\text{(A) }3\qquad\text{(B) }8\qquad\text{(C) }9\qquad\text{(D) }17\qquad\text{(E) }26
(A)
3
(B)
8
(C)
9
(D)
17
(E)
26
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