Question 124
Balls numbered $1, 2, 3, \ldots$ are deposited in $5$ bins, labeled $A$, $B$, $C$, $D$, and $E$, using the following procedure. Ball $1$ is deposited in bin $A$, and balls $2$ and $3$ are deposited in bin $B$. The next $3$ balls are deposited in bin $C$, the next $4$ in bin $D$, and so on, cycling back to bin $A$ after balls are deposited in bin $E$. (For example, balls numbered $22, 23, \ldots, 28$ are deposited in bin $B$ at step $7$ of this process.) In which bin is ball $2024$ deposited?
(A) A (B) B (C) C (D) D (E) E
(A) A (B) B (C) C (D) D (E) E