Take any positive even number n. Calculate (10n
) % 11.
(b) Take any positive odd number n. Calculate (10n
) % 11.
(c) A number is called a palindrome if it remains the same after you reverse its digits. For
example, 12321, 430034 and 212212 are all palindrome numbers.
Suppose that n is a palindrome number with six digits. What must n % 11 be equal to?
Why?