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ISI B.Stat Entrance Exam
2010 ISI B.Stat Entrance Exam
2
a+b+c+d=21... isi(bs) 2010 #2
a+b+c+d=21... isi(bs) 2010 #2
Source:
May 16, 2012
modular arithmetic
Problem Statement
Let
a
,
b
,
c
,
d
a,b,c,d
a
,
b
,
c
,
d
be distinct digits such that the product of the
2
2
2
-digit numbers
a
b
‾
\overline{ab}
ab
and
c
b
‾
\overline{cb}
c
b
is of the form
d
d
d
‾
\overline{ddd}
ddd
. Find all possible values of
a
+
b
+
c
+
d
a+b+c+d
a
+
b
+
c
+
d
.
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