Palindromic Terror!!
How many palindromes are there between 10000 and 99999? How many of them are divisible by 25?
Details and assumptions:
Palindromes are numbers which are same from either ends. Eg:
Write your answer as Total palindromes.Divisible palindromes
Eg: If your answers are:
Total there are palindromes and palindromes are divisible by , then write your answer as .
The answer is 40.20.
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1 solution
There are 9 0 0 paildromes between 1 0 0 0 0 and 9 9 9 9 9 .
There are 2 0 palindromes which are divisible by 2 5 . They are:
5 2 0 2 5 , 5 2 1 2 5 , 5 2 2 2 5 , 5 2 3 2 5 , 5 2 4 2 5 , 5 2 5 2 5 , 5 2 6 2 5 , 5 2 7 2 5 , 5 2 8 2 5 , 5 2 9 2 5 , 5 7 0 7 5 , 5 7 1 7 5 , 5 7 2 7 5 , 5 7 3 7 5 , 5 7 4 7 5 , 5 7 5 7 5 , 5 7 6 7 5 , 5 7 7 7 5 , 5 7 8 7 5 , 5 7 9 7 5