1. Let the set $S=\left\{A_{0}, A_{1}, A_{2}, A_{3}\right\}$, and define the operation “ $\oplus$ ” on $S$ as: $A_{i} \oplus A_{j}=A_{k}$, where $k$ is the remainder of $i+j$ divided by 4, $i, j=0,1,2,3$. Then the number of $x(x \in S)$ that satisfy the relation $(x \oplus x) \oplus A_{2}=A_{0}$ is
A. 1
B. 2
C. 3
D. 4
Solve:
$2 x+2 \equiv 0(\bmod 4) \Rightarrow x=1,3$, so the answer is $B$.

Translate the text above into English, keeping the original text's line breaks and format:

Solve:
$2 x+2 \equiv 0(\bmod 4) \Rightarrow x=1,3$, so the answer is $B$.