Correct option is C

According to the question, we need to determine the language accepted by the given Pushdown Automaton (PDA), we need to analyze the transitions and understand how the PDA processes the input string.


By analyzing the PDA:
· For each read, multiple as are pushed onto the stack.
· Specifically, for each a, the PDA ends up pushing four as onto the stack (initially three, and then for each additional a another four are pushed).
· When reading b, the PDA pops one a from the stack for each b.
· Thus, for each a in the input, the PDA needs to read three b’s to balance the stack.
Therefore, the PDA accepts strings where the number of b’s is three times the number of a’s.
The correct language is