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List of top Theory of Computation Questions asked in AP PGECET

The minimum number of states in a DFA accepting \( L = \{ w | w \text{ ends with } 01 \} \) over \( \Sigma = \{0, 1\} \) is _______ .
  • AP PGECET - 2025
  • AP PGECET
  • Theory of Computation
  • Regular expressions and finite automata
Which of the following is FALSE?
  • AP PGECET - 2025
  • AP PGECET
  • Theory of Computation
  • Regular expressions and finite automata
Let \( P \) be a regular language and \( Q \) be a context free language such that \( Q \) is a subset of \( P \). Then which of the following is ALWAYS regular?
  • AP PGECET - 2025
  • AP PGECET
  • Theory of Computation
  • Regular expressions and finite automata
If the production rules are given as:
\( S \to XY | W \)
\( X \to aXb | \epsilon \)
\( Y \to cY | \epsilon \)
\( W \to aWc | bZ | \epsilon \)
\( Z \to bZ | \epsilon \)
Then the language generated by these rules is _______ .
  • AP PGECET - 2025
  • AP PGECET
  • Theory of Computation
  • Context Free Languages and Pushdown Automata
The maximum number of transitions which can be performed over a state in a DFA? \( \Sigma = \{a, b, c\} \)
  • AP PGECET - 2025
  • AP PGECET
  • Theory of Computation
  • Regular expressions and finite automata
Which of the following is a regular language?
  • AP PGECET - 2025
  • AP PGECET
  • Theory of Computation
  • Regular expressions and finite automata
The minimum number of nodes in a DFA that recognizes strings over \( \{a, b\} \) with length mod 3 = 0 are _______ .
  • AP PGECET - 2025
  • AP PGECET
  • Theory of Computation
  • Regular expressions and finite automata