A number is called a palindrome if it reads the same backward as well as forward. For example 285582 is a six digit palindrome. The number of six digit palindromes, which are divisible by 55, is
A
100.00
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B
100
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C
100.0
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Solution
For divisible by 55, it is divisible by 11 and 5 both.
For divisibility by 5, unit digit is either 0 or 5 but as the number is six digit palindrome so unit digit is 5. ∴ Number is of form 5ABBA5
If the difference between the sum of the digits at the odd and even places equals 0 or divisible by 11, then the number is divisible by 11. ∴ No. of ways =10×10=100