Which of these numbers belongs to the residue class $[2]$ modulo 6?

Explanation

1. 01

   $[2]$ modulo 6 is $\{\dots, -4, 2, 8, 14, 20, 26, 32, 38, \dots\}$: numbers $6k + 2$.

2. 02

   $38 = 6 \times 6 + 2$. 40, 21 and 27 leave 4, 3 and 3.