MathDB
Problems
Contests
National and Regional Contests
India Contests
Regional Mathematical Olympiad
1990 India Regional Mathematical Olympiad
6
Find the digit
Find the digit
Source: RMO 1990 Problem 6
October 14, 2005
Problem Statement
N
N
N
is a
50
50
50
-digit number (in decimal representation). All digits except the
26
26
26
th digit (from the left) are
1
1
1
. If
N
N
N
is divisible by
13
13
13
, find its
26
26
26
-th digit.
Back to Problems
View on AoPS