3823a is divisible by 484 and 484 is a factor of 3823a,4 is a factor of
484 and 11 is also a factor of 484.Hence 3823a is divisible by both 4
and 11.To be divisible by 4 the last two digits have to be divisible by
4
'a' can take two values 2 and 6
38232 is not divisible by 11 but 38236 is divisible by 11
Hence 6 is the correct choice.