Question

Find the number of palindromes between 10,000 and 99,999 that are divisible by 25.

( a palindrome is a number that reads the same forwards and backwards

Answer 1

52025 palindromes between 10,000 and 99,999 that are divisible by 25.

Explanation:

Given : Numbers between 10,000 and 99,999 .

To find : Find the number of palindromes between 10,000 and 99,999 that are divisible by 25.

Solution : We have given numbers between 10,000 and 99,999 .

Palindrome Numbers : that read the same backwards and forwards.

Example : 17371.

Numbers that divisible by 25 : numbers end with 0 , or 5

Example : 25 , 100 , 75 ......

We can see from given numbers palindromes between 10000 and 99999 are of the form abcba ,

Where, c can be 0 to 9

Like : 55555 , 52025, 52125 ,52225 , 52325 ......so on

Therefore, 52025 palindromes between 10,000 and 99,999 that are divisible by 25.

Answer 2

Numbers divisible with 25 are numerals ending with 00,25,50 or 75.
Between 10,000 and 99,999 divisible by 25 are the numbers: 10,000, 10,025, 10,050, ......, 99,975.
Palindrome is a number that reads the same forwards and backwards. Example is 11, 22, 121,...
In our number frame, palindrome numbers are : 10,0001 , 22,222, 33,333,
Divisible by 25 is the palindrome number 55,555.