Form of six digit palindrome numberxyzzyx This will be divisible by 55 Hence, x = 5 and 5 5 yzzy will be divisible by 11. ⇒(5+z+y)−(y+z+5) is divisible by 11 which is true for all values of y and z ⇒ y and z can be chosen in 10×10 ways Number of such number = 100