2000+ Automata Theory MCQs - Finite Automata

1. Assume the R is a relation on a set A, aRb is partially ordered such that a and b are _____________?
  •  reflexive
  •  transitive
  •  symmetric
  •  reflexive and transitive

2.
  Given: ∑= {a, b}

L= {x쵷*|x is a string combination}
∑4 represents which among the following?
  •  {aa, ab, ba, bb}
  •  {aaaa, abab, ε, abaa, aabb}
  •  {aaa, aab, aba, bbb}
  •  All of the mentioned


3. A regular language over an alphabet ∑ is one that cannot be obtained from the basic languages using the operation
  •  Union
  •  Concatenation
  •  Kleene*
  •  All of the above


4. Statement 1: A Finite automata can be represented graphically; Statement 2: The nodes can be its states; Statement 3: The edges or arcs can be used for transitions
Hint: Nodes and Edges are for trees and forests too.
Which of the following make the correct combination?
  •  Statement 1 is false but Statement 2 and 3 are correct
  •  Statement 1 and 2 are correct while 3 is wrong
  •  None of the mentioned statements are correct
  •  All of the mentioned


5. The minimum number of states required to recognize an octal number divisible by 3 are/is
  •  1
  •  3
  •  5
  •  7


6. Which of the following is a not a part of 5-tuple finite automata?
  •  Input alphabet
  •  Transition function
  •  Initial State
  • Output Alphabet


7. If an Infinite language is passed to Machine M, the subsidiary which gives a finite solution to the infinite input tape is ______________
  •  Compiler
  •  Interpreter
  •  Loader and Linkers
  •  None of the mentioned


8. The number of elements in the set for the Language L={xϵ(∑r) *|length if x is at most 2} and ∑={0,1} is_________
  •  7
  •  6
  •  8
  •  5


9. For the following change of state in FA, which of the following codes is an incorrect option?
  •  Î´ (m, 1) =n
  •  Î´ (0, n) =m
  •  Î´ (m,0) =ε
  •  s: accept = false; cin >> char; if char = “0” goto n;


10. The non- Kleene Star operation accepts the following string of finite length over set A = {0,1} | where string s contains even number of 0 and 1
  •  01,0011,010101
  •  0011,11001100
  •  Îµ,0011,11001100
  •  Îµ,0011,11001100

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