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Epsilon Closures - Free MCQ Practice Test with solutions, GATE CSE (CSE)


MCQ Practice Test & Solutions: Test: Epsilon Closures (8 Questions)

You can prepare effectively for Computer Science Engineering (CSE) Theory of Computation with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Epsilon Closures". These 8 questions have been designed by the experts with the latest curriculum of Computer Science Engineering (CSE) 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 10 minutes
  • - Number of Questions: 8

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Test: Epsilon Closures - Question 1

Which of the following does not belong to input alphabet if S={a, b}* for any language?

Detailed Solution: Question 1

The automaton may be allowed to change its state without reading the input symbol using epsilon but this does not mean that epsilon has become an input symbol. On the contrary, one assumes that the symbol epsilon does not belong to any alphabet.

Test: Epsilon Closures - Question 2

The number of final states we need as per the given language?Language L: {an| n is even or divisible by 3}

Detailed Solution: Question 2

Test: Epsilon Closures - Question 3

State true or false:Statement: Both NFA and e-NFA recognize exactly the same languages.

Detailed Solution: Question 3

e-NFA do come up with a convenient feature but nothing new.They do not extend the class of languages that can be represented.

Test: Epsilon Closures - Question 4

 Design a NFA for the language:
L: {an| n is even or divisible by 3}
Which of the following methods can be used to simulate the same.

Detailed Solution: Question 4

It is more convenient to simulate a machine using e-NFA else the method of Power Construction is used from the union-closure of DFA’s.

Test: Epsilon Closures - Question 5

Which of the following belongs to the epsilon closure set of a?

Detailed Solution: Question 5

The epsilon closure of the set q is the set that contains q, together with all the states which can be reached starting at q by following only epsilon transitions.

Test: Epsilon Closures - Question 6

The number of elements present in the e-closure(f2) in the given diagram:

Detailed Solution: Question 6

The epsilon closure set of f2 consist of the elements:{f2, f3}. Thus the count of the element in the closure set is 2.

Test: Epsilon Closures - Question 7

Which of the steps are non useful while eliminating the e-transitions for the given diagram?

Detailed Solution: Question 7

 The given are the steps followed while eliminating epsilon transitions from a NFA or converting an e-NFA to just NFA.

Test: Epsilon Closures - Question 8

Remove all the epsilon transitions in the given diagram and compute the number of a-transitions in the result?

Detailed Solution: Question 8

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