In a specific code, "TRUTH" is coded as "7-18-21-20-8" and "FALSE" is coded as "6-1-12-19-5". How would "LOGIC" be coded if the rule changes such that every vowel is shifted by $+2$ in the alphabet before being converted to its numerical position?

The word is:

$LOGIC$

Alphabet positions are:

$L=12,\ O=15,\ G=7,\ I=9,\ C=3$

Now, according to the new rule, every vowel is shifted by $+2$ before converting to its numerical position.

Vowels in $LOGIC$ are $O$ and $I$.

So,

$O+2=Q$

Position of $Q$ is $17$.

Also,

$I+2=K$

Position of $K$ is $11$.

Consonants remain unchanged:

$L=12,\ G=7,\ C=3$

Therefore,

$LOGIC=12-17-7-11-3$