Explore topic-wise MCQs in Automata Theory.

This section includes 16 Mcqs, each offering curated multiple-choice questions to sharpen your Automata Theory knowledge and support exam preparation. Choose a topic below to get started.

1.

Which of the following one can relate to the given statement:Statement: If n items are put into m containers, with n>m, then atleast one container must contain more than one item.

A. Pumping lemma
B. Pigeon Hole principle
C. Count principle
D. None of the mentioned
Answer» C. Count principle
Discussion
2.

Let w be a string and fragmented by three variable x, y, and z as per pumping lemma. What does these variables represent?a) string countb) stringc) both (

A. string countb) stringc) both (a) and (
B. string
C. both (a) and (b)
D. none of the mentioned
Answer» B. string
Discussion
3.

If d is a final state, which of the following is correct according to the given diagram?

A. x=p, y=qr, z=s
B. x=p, z=qrs
C. x=pr, y=r, z=s
D. All of the mentioned
Answer» B. x=p, z=qrs
Discussion
4.

Answer in accordance to the third and last statement in pumping lemma:For all _______ xyiz ∈L

A. i>0
B. i<0
C. i<=0
D. i>=0
Answer» E.
Discussion
5.

Fill in the blank in terms of p, where p is the maximum string length in L.Statement: Finite languages trivially satisfy the pumping lemma by having n = ______

A. p*1
B. p+1
C. p-1
D. None of the mentioned
Answer» C. p-1
Discussion
6.

There exists a language L. We define a string w such that w∈L and w=xyz and |w| >=n for some constant integer n.What can be the maximum length of the substring xy i.e. |xy|<=?

A. n
B. |y|
C. |x|
D. none of the mentioned
Answer» B. |y|
Discussion
7.

If we select a string w such that w∈L, and w=xyz. Which of the following portions cannot be an empty string?

A. x
B. y
C. z
D. all of the mentioned
Answer» C. z
Discussion
8.

Relate the following statement:Statement: All sufficiently long words in a regular language can have a middle section of words repeated a number of times to produce a new word which also lies within the same language.

A. Turing Machine
B. Pumping Lemma
C. Arden’s theorem
D. None of the mentioned
Answer» C. Arden’s theorem
Discussion
9.

LET_W_BE_A_STRING_AND_FRAGMENTED_BY_THREE_VARIABLE_X,_Y,_AND_Z_AS_PER_PUMPING_LEMMA._WHAT_DOES_THESE_VARIABLES_REPRESENT??$

A. string count
B. string
C. both (a) and (b)
D. none of the mentioned
Answer» B. string
Discussion
10.

Which of the following one can relate to the given statement:$

A.
B. Pumping lemma
C. Pigeon Hole principle
Answer» C. Pigeon Hole principle
Discussion
11.

Fill in the blank in terms of p, where p is the maximum string length in L.

A.
B. p*1
C. p+1
Answer» C. p+1
Discussion
12.

There exists a language L. We define a string w such that w‚ààL and w=xyz and |w| >=n for some constant integer n.What can be the maximum length of the substring xy i.e. |xy|<=?$

A. n
B. |y|
C. |x|
D. none of the mentioned
Answer» B. |y|
Discussion
13.

Let w= xyz and y refers to the middle portion and |y|>0.What do we call the process of repeating y 0 or more times before checking that they still belong to the language L or not?

A. Generating
B. Pumping
C. Producing
D. None of the mentioned
Answer» C. Producing
Discussion
14.

If we select a string w such that w‚ààL, and w=xyz. Which of the following portions cannot be an empty string?$

A. x
B. y
C. z
D. all of the mentioned
Answer» C. z
Discussion
15.

While applying Pumping lemma over a language, we consider a string w that belong to L and fragment it into _________ parts.

A. 2
B. 5
C. 3
D. 6
Answer» D. 6
Discussion
16.

Relate the following statement:

A.
B. Turing Machine
C. Pumping Lemma
Answer» C. Pumping Lemma
Discussion