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Welcome to the Basics of Automata Theory MCQs Page

Dive deep into the fascinating world of Basics of Automata Theory with our comprehensive set of Multiple-Choice Questions (MCQs). This page is dedicated to exploring the fundamental concepts and intricacies of Basics of Automata Theory, a crucial aspect of Formal Languages and Automata Theory. In this section, you will encounter a diverse range of MCQs that cover various aspects of Basics of Automata Theory, from the basic principles to advanced topics. Each question is thoughtfully crafted to challenge your knowledge and deepen your understanding of this critical subcategory within Formal Languages and Automata Theory.

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Basics of Automata Theory MCQs | Page 1 of 3

Explore more Topics under Formal Languages and Automata Theory

Q1.
If ∑ = {a, b, c, d, e, f} then number of strings in ∑ of length 4 such that no symbol is used more than once in a string is

a.

35

b.

360

c.

49

d.

720

Discuss
Answer: (b).360
Q2.
Which of the following CFG’s can’t be simulated by an FSM ?

a.

S->Sa/b

b.

S->aSb/ab

c.

S->abX, X->cY, Y->d/aX

d.

None of these

Discuss
Answer: (b).S->aSb/ab
Q3.
The transitions which does not take an input symbol are called

a.

ε-transitions

b.

λ-transitions

c.

None of these

d.

Both of the mentioned

Discuss
Answer: (d).Both of the mentioned
Q4.
Which of the following strings is NOT in the Kleene star of the language {011, 10, 110}?

a.

01

b.

10

c.

110

d.

10011101

Discuss
Answer: (d).10011101
Q5.
Which of the following is true ?

a.

All subsets of a regular set are always regular

b.

All finite subsets of non-regular set are always regular

c.

Union of two non regular set of language is not regular

d.

Infinite times union of finite set is always regular

Discuss
Answer: (b).All finite subsets of non-regular set are always regular
Q6.
L and ~L are recursive enumerable then L is

a.

Regular

b.

Context free

c.

Context sensitive

d.

Recursive

Discuss
Answer: (d).Recursive
Q7.
Consider the production of the grammar:

S->AA A->aa A->bb

Describe the language specified by the production grammar.

a.

L = {aaaa,aabb,bbaa,bbbb}

b.

L = {abab,abaa,aaab,baaa}

c.

L = {aaab,baba,bbaa,bbbb}

d.

L = {aaaa,abab,bbaa,aaab}

Discuss
Answer: (a).L = {aaaa,aabb,bbaa,bbbb}
Q8.
Let R1 and R2 be regular sets defined over alphabet ∑ then

a.

R1 UNION R2 is regular

b.

R1 INTERSECTION R2 is regular

c.

∑ INTERSECTION R2 IS NOT REGULAR

d.

R2* IS NOT REGULAR

Discuss
Answer: (a).R1 UNION R2 is regular
Q9.
Which of the following strings can be obtained by the language L = { a^i b^2i / i≥ 1}?

a.

aaabbbbbb

b.

aabbb

c.

abbabbba

d.

aaaabbbabb

Discuss
Answer: (a).aaabbbbbb
Q10.
Give a production grammar for the language L = {x/x ∈ (a,b)*, the number of a’s in x is multiple of 3}.

a.

{S->bS, S->b,S->aA, S->bA, A->aB, B->bB, B->aS, S->a}

b.

{S->aS,S->bA,A->bB,B->bBa,B->bB}

c.

{S->aaS,S->bbA,A->bB,B->ba}

d.

None of the above

Discuss
Answer: (a).{S->bS, S->b,S->aA, S->bA, A->aB, B->bB, B->aS, S->a}
Page 1 of 3

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