$\{$

$|$

$$D is a DFA and L

$($

D

$)$

$$intersect L

$($

A

$)$

$$is empty

$\}$

$$where A is a DFA with language L

$($

A

$)$

$=$

$\{$

all binary numbers divisible by

$3$

$\}$

$$is it decidable, undecidable, turing recognizable or turing unrecognizable. which of these $4$ options are correct