a palindrome is a number that reads the same forward and backward , such as 242 . how many even 9 - digit numbers are palindromes ?  Answers
A) 40
B) 40000
C) 500
D) 5,000
E) 100,000

Rationale: if the palindrome must be even , it must begin and end in 2,4 6 and 8 ( 4 ways ) e . g 222212222,444414444 . the middle number in the nine - digit could be 0 - 9 ( 10 ways ) , e . g 22522 , 22822 the 2 nd and fourth numbers , the 3 rd and 5 th and 4 th and 6 th could must also be same i . e 0 - 9 ( 10 ways ) e . g 242343242 , 648565846 we thus have , 4 * 10 * 10 * 10 * 10 = 40000 b
Answer: B