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
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