Re: Australian Mathematics Competition
$Any 4 digit palindrome can be expressed in the form:$
$1001x + 110y$
$We wish to determine which of these are divisible by 7$
$Note the following$
7 | 1001 \implies 7 | 1001x
7 \nmid 110
$Hence if the palindrome is a multiple of 7, then$
7 | y...