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PrintSouth African Mathematics Olympiad Third Round
South Africa algebra
Problem
A palindromic number is a number that reads the same backwards as it does forwards. For example: and .
a) What is the smallest palindromic number greater than ?
b) What is the largest palindromic number less than ?
a) What is the smallest palindromic number greater than ?
b) What is the largest palindromic number less than ?
Solution
a) , since the next smaller palindrome is , which is less than .
b) , since is the next palindrome.
b) , since is the next palindrome.
Final answer
a) 2112; b) 2002
Techniques
IntegersOther