The Solution:
Given that
[tex]12(\mod 8)=5(\mod 8)[/tex]We are required to answer whether the above statement is TRUE.
[tex]\begin{gathered} 12(\mod 8)=1\text{ remainder 4=4(mod 8)} \\ \text{ Since,} \\ 12(\text{mod}8)=4\ne5 \\ \text{ It follows that it is not true.} \end{gathered}[/tex]Therefore, it is not true.