A “palindromic integer” is an integer that remains the same when its digits are reversed.

A “palindromic integer” is an integer that remains the same when its digits are reversed. So, for example, 43334 and 516615 are both examples of palindromic integers. How many 6-digit palindromic integers are both even and greater than 300,000?

Quiz

Answer/Solution

300

Steps/Work

The first digit and last digit are the same so the 3 possibilities are 4, 6, or 8.
The second and third digits can be any digit from 0 to 9.
The total number of palindromic integers is 3*10*10 = 300
The answer is C.