isi-entrance 2018 Q6

isi-entrance · India · UGA Number Theory Combinatorial Number Theory and Counting
A number is called a palindrome if it reads the same backward or forward. For example, 112211 is a palindrome. How many 6-digit palindromes are divisible by 495?
(A) 10
(B) 11
(C) 30
(D) 45
A number is called a palindrome if it reads the same backward or forward. For example, 112211 is a palindrome. How many 6-digit palindromes are divisible by 495?\\
(A) 10\\
(B) 11\\
(C) 30\\
(D) 45