This problem could not be more simply stated. Yet it requires layers and layers of thought. It can involve lots of calculation, computation and heavy lifting; some students are using their laptops to generate lots of numbers and narrow down the possibilities; some are making progress by persistent, careful, creative thinking. A good strategy can spare you a lot of heavy lifting. The best problems often work this way.
PalindromemordnilaP
Consider all the palindromes between 10,000 and
100,000.
(You remember what a palindrome is. It is a series of letters or numbers that
read exactly the same forward and backward.
So 10,000 is not a palindrome.
10,001 is.)
Of all the palindromes between 10,000 and 100,000, how
many are divisible by 36?
