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CS402 Theroy Of Automata Update MCQS For Quiz-1 File 80 To 100% Marks

 

Finite Automaton (FA) has:

A.Zero or more final states

B. Exactly one final state

C. Not more than two final states

D. Exactly two final states

The formal language is also known as _________.

A. Semantic language

B. Informal language

C. Syntactic language

D. Normal language

The language of all strings defined over alphabet set = {x, y} having triple

x’s or triple y’s will have the minimum strings with length of:

A. 1

B. 3

C. 4

D. 2

If an alphabet has "2" number of letters, then total number of strings of

length "3" will be ________.

A. 5

B. 9

C. 8

D. 6

GTG for the expression (a+b)*bb may have minimum number of states:

A. 3

B. 4

C. 2

D. 1

 

Consider the Regular Expression (RE) a (a + b)b*. Which one of the

following is NOT accepted by the provided RE?

A. aa

B. aab

C. aba

D. abb

Which of the following is NOT true about the term alphabet?

A.It is usually denoted by Greek letter sigma

B. It can be an empty set

C. Strings are generated by concatenating its elements

D.It is a finite set of symbols

Which of the following is free of non-determinism?

A. FA

B. TG

C. NFA

D. NFA-^

The language of all strings defined over alphabet set = {a, b} containing

‘bbb’ will have the minimum string with length of:

A. 1

B. 2

C. 3

D. 4

The aa(a+b)*bb is the RE of the language defined over Σ={a,b}.The

language must ____________.

A. have at least two ab

B. have at least one aa and one bb

C. have at least one abbb

D. have at least one ba

 

Reverse of string "YxwzYz" defined over Σ ={w,x,Y,z} is __________.

A. zYzwxY

B. zYzxwY

C. zYwzxY

D. zYzwYx

If "r1" and "r2" are regular expressions, then which of the following is not

a regular expression?

A.r1 + r2

B. r1*

C. r1 r2

D. r1 – r2

Which of the following string belongs to the language of the regular

expression (aa*b)*?

A. baabab

B. aabaab

C. aaaaaa

D. abbbaa

FA of EVEN-EVEN language shows that it accepts the null string by

declaring the _________ as a __________as well.

A.Initial state, final state

B. Initial sate, null state

C. Final state, initial state

D. Final state, null state

Let S = {a, bb, bab, baabb} be a set of strings, which one of the following

will not be included in S*?

A. baba

B. bbbaabaabb

C. baabbabb

D. bbaaabb

 

The language of all strings defined over alphabet set = {x, y} that ends

with different letters will have the maximum length of:

A. 1

B. 2

C. infinite

D. 3

In an FA, when there is no path from the initial state to final state, then

that FA_____________.

A. accept all non empty strings

B. does not accept any string

C. accept all strings

D. accept null strings

If Σ= {a, b, c, d}. How many transitions will be there on each state of a

finite automaton for any language defined over Σ?

A. 2

B. 4

C. 1

D. 3

Which of the following is the minimal number of states for a finite

automaton accepting the language of all strings defined over any alphabet

set?

A. 3

B. 4

C. 2

D. 1

How many states of a finite automaton will be final for accepting L = {^,

b, bb, bbb}?

A. 3

B. 1

C. 4

D. 2

There is no compulsion that each state must have an on outgoing edge for

every input variable in:

A. Transition Graph

B. Transition Table

C. Both Finite Automata and Transition Graph

D. Finite Automata

In TG, there can be more than one _____________.

A.start state only

B. null state only

C. start state and final state

D.final state only

Substrings as input letters can be specified on edges in:

A. NFA

B. PDA

C. FA

D. TG

If we have the regular expression (a + b)*, then we can draw FA for the

provided RE with minimum _________ number of state(s).

A. 2

B. 0

C. 1

D. 3

 

Question No:1 (Marks:1)

Σ={a,Aa,Abb}, then string aAaAbbAa has length.

A. One

B. Two

C. Three

D. Four Page 4

Question No:2 (Marks:1)  

Languages generated by kleene star are always .

A. Finite

B. Infinite Page 7

C. Sometimes finite & sometimes infinite

D. None of the these

Question No:3 (Marks:1)  

Let S = {aa, bb}, then S* will have the _______ string.

A. Λ Page 7

B. abba

C. aabbbaa

D. bbaab

Question No:4 (Marks:1)  

If r1 = (aa + bb) and r2 = ( a + b) then the language (aa + bb)* will be

generated by

A.(r1)(r2)

B. (r1 + r2)

C. (r2)*

D.(r1)* Page 10

Question No:5 (Marks:1)  

If a language can be expressed through FA, then it can also beexpressed

through TG.

A.True Page 25

B. False

Question No:6 (Marks:1)  

If an alphabet has n number of letter, then number of strings oflength m

will be

A. n+m

B. (n)(m)

C. m^n

D. n^m Page 6

Question No:7 (Marks:1)  

In GTG, if a state has more than one incoming transitions from a state.

Then all those incoming transitions can be reduced to one transition using

sign

A.-

B. + Page 27

C. *

D.( )

Question No:8 (Marks:1)  

Above given FA accepts strings defined over Σ={a , b}

A. All Page 15

B. Some

C. All but not null

D. None of these

Question No:9 (Marks:1)  

One FA has 3 states and 2 letters in the alphabet. Then FA will have

number of transitions in thediagram

A. 4

B. 5

C. 7

D. 6 Page 14

 

Question No:10 (Marks:1)  

Every FA should be____________.

A. Deterministic Page 25

B. Non- Deterministic

C. Deterministic & Non- Deterministic

D. None of these

Question No:11 (Marks:1)  

Auto Meta mean

A. Manual work

B. Automatic work Page 3

C. Both

D. None of these

Question No:12 (Marks:1)  

NFA to FA will

A.Equal Page 43

B. Not equal

C. Not valid

D. None of given

Question No:13 (Marks:1)  

The length of output string in case of is one more than the length of

corresponding input string.

A. Finite Automaton Page 55

B. TG

C. GTG

D. NFA

Question No:14 (Marks:1)  

The machine helps in building a machine that can perform the addition

of binary numbers.

A.Incrementing Page 60

 

B. Complementing

C. Decrementing

D. None of the given

Question No:15 (Marks:1)  

In proving Kleene Theorem II, if a state has two incoming transition

edges labelled by RE from the same state, then replace all the edges with

a single transition edge labelled by ------- of corresponding RE.

A. Sum Page 27

B. Edge

C. FA

D.RE

Question No:16 (Marks:1)  

Kleene Theorem III states that if the language can be expressed by RE

then there exist -------- accepting the language.

A. FA Page 32

B. DFA

C. NFA

D. None

Question No:17 (Marks:1)  

If L1 and L2′ are regular languages, L1 ∩ (L2′ U L1′)’ will be

A. Regular Page 10

B. Ir-regular

C. Can’t be decided

D. Another Language which is not listed here

Question No:18 (Marks:1)  

A regular language can be:

A. irregular

B. infinite

C. non-deterministic

D. None of the given options

Question No:19 (Marks:1)  

There ______ a language for which only FA can be built but not the RE.

A. is cannot be

B. is

C. may be

D. may not be

Question No:20 (Marks:1)  

For every three regular expressions R, S, and T, the languages denoted by

R(S U T) and (RS) U (RT) are the ______ .

A. Same

B. Different

C. R(S U T) is Greater

D. None of the given options

Question No:21 (Marks:1)  

In _______ there must be transition for all the lettersof a string.

A. NFA

B. GTG

C. TG

D. FA

Question No:22 (Marks:1)  

We cannot construct an NFA for the language of ______ defined over

alphabet set {a,b}.

A. Even

B. odd

C. Palindromes

D.Integers

 

Question No:23 (Marks:1)  

Decomposing a string into its valid units is referred as:

A. Decomposing

B. Splitting

C.Tokenizing

D. Dividing

Question No:24 (Marks:1)  

Choose the correct word produced by RE (a + b)* (aa+bb).

A. Abab

B. Babab

C. aaaa

D. Ab

Question No:25 (Marks:1)  

Considering FA1 and FA2 having 2 states each. Now FA1+FA2 can have

maximum ______________ number of states.

A. 2

B. 3

C. more than 3

D. None of these

Question No:26 (Marks:1)  

If R is a regular language and L is some language, and L U R is a _______,

then L must be a ________.

A. Regular language

B. Finite Auto

Question No:27 (Marks:1)  

The minimum length of the strings(except null string) of a language that

starts and ends in different letters will be:

A. 1

B. 2

C. 3

D. 4

Question No:28 (Marks:1)  

Consider we have languages L7 and L6. Which of the following

represents their concatenation?

A.L7+L6

B. L7/L6

C. L6L7

D. L7L6

Question No:29 (Marks:1)  

Let FA1 has x number of states and FA2 has y number of states. Now

FA1+FA2 can have maximum _______________ number of states.

A. x+y

B. x-y

C. x/y

D. None

Question No:30 (Marks:1)  

The language {a ab aba bab} is _____ .

A.Irregular

B. Regular

C. Recursive

D. None of the given options

Question No:31 (Marks:1)  

If we have a finite language and the number of states in the FA is n then

the maximum number of letters in the each word of the language that will

be accepted by the given FA will be:

A. N

B. n-1

C. n+1

D. 1

Question No:32 (Marks:1)  

Moore machine can have -------- final states.

A. 2

B. 4

C. 6

D. 8

Question No:33 (Marks:1)  

There _______ be dead states in NFA.

A. may not

B. must

C. should not

D. will

Question No:34 (Marks:1)  

Let L be the language of all strings, defined over ∑ = {0,1}, ending in 10.

Which of the following strings are distinguishable with respect to L with

z being 0?

A. 010, 101

B. 111, 101

C. 001, 101

D. 111, 111

Question No:35 (Marks:1)  

There ________ be a unique path for each valid string (called a word) in

NFA.

A.May not

B. Must

C. Should not

D.Will

 

Question No:36 (Marks:1)  

If we have only one state, having no transition for input letters, then it is

an example of:

A.RE

B. FA

C. TG

D. NFA

Question No:37 (Marks:1)  

Strings x,y,z belongs to Σ * such that xz L but yz L where L Σ*

are:

A. Undetermined

B. Distinguishable

C. Indistinguishable

D.Both distinguishable and indistinguishable

Question No:38 (Marks:1)  

A _______ with "n" states must accept at least one string of length greater

than "n".

A. DFA

B. RE

C. Irregular language

D.Irrelevant language

Question No:39 (Marks:1)  

In Moore machine, output is produced over the change of:

A. Transitions

B. Transitions and states

C. None of the mentioned

D. States

Question No:40 (Marks:1)  

Keeping in view the discussion by Martin, how many states are required

 

to recognize the language of all strings of length 3 or more defined over

∑= {a,b}, with ‘a’ being the third letter from right?

A. 10

B. 12

C. 14

D. 16

Question No:41 (Marks:1)  

Every _______ can be considered to be ______ as well, but the converse

may not be true.

A. TG, FA

B. GTG

C. PDA

D. FA, TG Page 19

Question No:42 (Marks:1)  

In the context of make NFA for the concatenation of FA1 and FA2 (FA1

accepting null string), which of the following option is correct?

A. Final states in both FAs

B. Initial states in both FAs

C. FA2 having initial state only

D. FA2 having final state only

Question No:43 (Marks:1)  

In order to make NFA for the union of FA1 and FA2, the new initial state

should be linked to:

A.Initial states of both FAs

B. Initial and final states of FA1 and FA2 respectively

C. Initial state of FA1 only

D. Final and initial states of FA1 and FA2 respectively

Question No:44 (Marks:1)  

Keeping in view the discussion by Martin, how many states are required

 

to recognize the language of all strings of length 2 or more defined over

∑= {a,b}, with ‘b’ being the second letter from right?

A. 9

B. 6

C. 7

D. 8

Question No:45 (Marks:1)  

If we have an NFA having 3 states, and we convert that NFA to an FA.

The resultant FA will contains _______ states.

A. 1

B. 2

C. 3

D. 4

Question No:46 (Marks:1)  

Let FA3 be an FA corresponding to FA1FA2, then initial state of FA3

must correspond to the initial state of

A. FA1 only

B. FA2 only

C. FA1 and FA2

D. FA1 or FA2

Question No:47 (Marks:1)  

In which of the following machine, the length of output string is the same

to that of input string?

A.Mealy machine

B. Moore machine

C. Finite automaton with output

D. Non-deterministic finite automaton

Question No:48 (Marks:1)  

Moore Machine is an application of:

 

A. None of the mentioned

B. Finite automata with output

C. Finite automata without input Google

D. Non- Finite automata with output

Question No:49 (Marks:1)  

In NFA having multiple transitions at certain state, FA can be built by

introducing:

A.Empty state

B. Combination of states

C. Initial state

D. Final state

Question No:50 (Marks:1)  

In Mealy machine the output depends on __________________

A. Present state and Present input

B. Only present state

C. Nothing

D. Type of input

Question No:51 (Marks:1)  

If L is a regular language, then (L’)’ U L will be:

A.L

B. C

C. P

D. F

Question No:52 (Marks:1)  

A string will be accepted by an NFA if there exists _______ one

successful path.

A. Atleast

B. Atmost

C. Maximum

 

D. None of the given options

Question No:53 (Marks:1)  

If A and B are regular languages, !(A’ U B’) is:

A. Non regular

B. May be regular

C. None of the mentioned

D. Regular

Question No:54 (Marks:1)  

There is no question of accepting any language in:

A.Moore machine

B. FA

C. TG

D. GTG

Question No:55 (Marks:1)  

In _______ there must be transitions for all the alphabets over which a

language is defined.

A. FA

B. TG

C. NFA

D. GTG

Question No:56 (Marks:1)  

Let FA3 be an FA corresponding to FA1FA2, then final state of FA3 must

correspond to the final state of

A. FA2 only

B. FA1 only

C. FA1 or FA2

D. FA1 and FA2

Question No:57 (Marks:1)  

 

How many new states are introduced while developing NFA for the

closure of an FA?

A. 2

B. 4

C. 6

D. 8

Question No:58 (Marks:1)  

Subtraction of binary numbers is possible through:

A.Both complementing and incrementing machine

B. Complementing machine

C. Incrementing machine

D.Converting machine

Question No:59 (Marks:1)  

For a given Moore Machine, the input string is '101010', thus the output

string would be of length:

A.Length of input string + 1

B. Length of input string – 1

C. Length of input string + 2

D. Length of input string -2

Question No:60 (Marks:1)  

Which one of the following machine is represented as a pictorial

representation with states and directed edges labeled by an input letter

along with an output character?

A.Mealy machine

B. Moore machine

C. Finite state machine

D. Deterministic finite state machine

Question No:61 (Marks:1)  

If FA1 corresponds to (a+b)* then FA1 must accept ___________

 

string/strings.

A. No

B. Odd length

C. Even length

D.Every

Question No:62 (Marks:1)  

Closure of an FA is the same as ___________ of an FA with itself

except that the initial state of the required FA is a final state as well.

A. Sum

B. Union

C. Intersection

D. Concatenation

Question No:63 (Marks:1)  

Given the language L = {ab, aa, baa}, which of the following strings are

inL*?

abaabaaabaa

aaaabaaaa

baaaaabaaaab

baaaaabaa

A. 1, 2 and 3

B. 2, 3 and 4

C. 1, 2 and 4

D. 1, 3 and 4

Question No:64 (Marks:1)  

FA and _______ are same except that _______ has unique symbol for

each transition.

A. FA,TG

B. NFA,TG

C. NFA,FA

D. GTG,NFA

 

Question No:65 (Marks:1)  

How many states of a finite automaton will be final for accepting the only

string ‘abb’, if Σ= {a, b}?

A. 1

B. 2

C. 3

D. 4

Question No:66 (Marks:1)  

Two machines are said to be equivalent if they print the output string

when the input string is run on them.

A. Same, Same

B. Same, different

C. Different, same

D. Unique, different

Question No:67 (Marks:1)  

Every NFA can be considered to be a -------- as well, but the converse

may not be true.

A.TG

B. FA

C. GTG

D. PDA

Question No:68 (Marks:1)  

In which of the following machine, the length of output string is 1 more

than that of input string?

A. Mealy machine

B. Non-deterministic finite automaton

C. Finite automaton with output

D.Moore machine

 

Question No:69 (Marks:1)  

If S = {aa, bb} then S* will not contain ___________.

A. abbbab

B. bbba

C. bbbbab

D. ababbb

Question No:70 (Marks:1)  

Which of the following machine has only one initial state and no final

state?

A.Moore machine

B. Finite state machine

C. Deterministic finite state machine

Question No:71 (Marks:1)  

Which of the following diagram is very rigid in order to express any

language?

A. TG

B. NFA

C. GTG

D. FA

Question No:72 (Marks:1)  

If S = {a}, then S+ will be ___________.

A. {a, aaa, aaaa, aaaaa,…}

B. {a, aa, aaa, aaaa,…}

C. {a, aaa, aaaaa, aaaaaaa,…}

D. {aa, aaaa, aaaaaa, aaaaaaaa,…}

Question No:73 (Marks:1)  

Let L be the language of all strings. defined over ∑ = {0,1}. ending in 111.

 

Melay machine can have final states.

A.Zero

B. One

C. More than one but finite

D. More than one but infinite

Question No:74 (Marks:1)  

Let’s we have two regular expressions R1=(xx+yy) and R2=(x+ y). Which

one of the following is the correct regular expression for the Union of R1

and R2?

A.(xx+yy)(x+y)

B. (xx+yy)+(x+y)*

C.(xx+yy)+(x+y)

D.((xx+yy)+(x+y))*

Question No:75 (Marks:1)  

The state where there is no way to leave after entry, is called_____________.

A. Davey John locker

B. initial state

C. final state

D. non-final state

Question No:76 (Marks:1)  

Which one of the following word is not accepted by the given regular

expression?

A. aaabab

B. aaaababb

C. abbaab

D. aabbabb

Question No:77 (Marks:1)  

According to theory of automata there are _________ types of languages.

 

A. One

B. Two

C.Three

D. Four

Question No:78 (Marks:1)  

Regular languages are closed under the following operations.

A. Union only

B. Concatenation, Closure only

C. Union, Concatenation and Closure

Question No:79 (Marks:1)  

Regular languages are closed under the following operations.

A. Union only

B. Concatenation, Closure only

C. Union, Concatenation and Closure

D.Regular languages are not closed under any operation

Question No:80 (Marks:1)  

There can be more than _______ FA for a certain language but for

_______ FA there is only one language associated with it.

A. one, one

B. one, two

C. two, three

D. two, one

Question No:81 (Marks:1)  

There is one compulsion that each state must have an on outgoing edge

forevery input variable in:

A. Finite Automata

B. Transition Graph

C. Both Finite Automata and Transition Graph

D. Transition Table

 

Question No:82 (Marks:1)  

FA is also called

A. TG

B. GTG

C. NFA

D. DFA

Question No:83 (Marks:1)  

If r1 and r2 are regular expressions then (r1 * r2) is ___________ .

A. FA

B. TG

C. GTG

D. RE

Question No:84 (Marks:1)  

Keep in view the language of all strings ending with ‘a’ defined over Σ =

{a, b, c, d}. For which input letter, we will take a loop on the final state

of its transition diagram?

A. a

B. b

C. c

D. d

Question No:85 (Marks:1)  

Which of the following statements is true about NFA with Null String?

A.Infinite states

B. Infinite set of letters

C. Infinite set of transitions

D.Transition of null string is allowed at any stage

Question No:86 (Marks:1)  

Introducing new start state in case of multiple start states is the step no.

 

of proving Kleene’s theorem part ||.

A. 1

B. 2

C. 3

D. 4

Question No:87 (Marks:1)  

Which of the following diagrams expresses languages more simply?

A. FA

B. NFA

C. TG

D. GTG

Question No:88 (Marks:1)  

The language of all strings defined over alphabet set = {a, b} that does not

end with ‘a’ actually ends with:

A. b

B. b and ^

C. ^

D. ^ and a

Question No:89 (Marks:1)  

In NFA having no transition at certain state, FA can be built by

introducing:

A.Empty state

B. Combination of states

C. Initial state

D. Final state

Question No:90 (Marks:1)  

Formal is also known as

A. Syntactic language

B. Semantic language

 

C. Informal language

D. None of these

Question No:91 (Marks:1)  

There may be more than one transition for a certain letter on a state in:

A. Finite automata

B. Non-Deterministic Finite Automata

C. Transition Table

D. Moore Machine

Question No:92 (Marks:1)  

FA of EVEN language shows null string when

A.Initial state is final as well

B. EVEN does not accept null

C. One state is declared null

D. None of the these

Question No:93 (Marks:1)  

Which of the following statement is true about GTG?

A. Transitions are based on input letters

B. Transitions are based on specified substrings

C. Transitions are based on regular expressions

D. Transitions are based on alphabet set

Question No:94 (Marks:1)  

In GTG, there can be more than one:

A. Start state

B. Final state

C. Start state and final state

D. Null state

Question No:95 (Marks:1)  

GTG for the expression (aa+aba)* may have minimum number of states:

 

A. 1

B. 2

C. 3

D. 4

Question No:96 (Marks:1)  

In regular expressions, the operator ‘*’ stands for

A. Concatenation

B. Iteration

C. Selection

D. Add

Question No:97 (Marks:1)  

If r1 is a regular expression then (r1)* is .

A. A generalized transition graph

B. A non-deterministic finite automaton

C. A finite automaton

D. Also, a regular expression

Question No:98 (Marks:1)  

Which of the following is the bypass and state elimination step in the

context of Kleene’s theorem part || proof?

A. 1

B. 2

C. 3

D. 4

Question No:99 (Marks:1)  

Question No:100 (Marks:1)  

Melay machine to increase the output string in magnitude by 1 is called:

A. Complementing machine

 

B. Incrementing machine

C. Decrementing machine

D.Converting machine

Question No:101 (Marks:1)  

Kleene’s Theorem Part I expresses the relationship between________.

A. FA and TG

B. TG and RE

C. RE and FA

D. FA and RE

Question No:102 (Marks:1)  

Suppose we have FA3 (which is equal to FA1 + FA2), then the final state

of FA3 will be declared final if:

A.It corresponds to final states of both FA1 and FA2

B. It corresponds to final states of FA1 only

C. It corresponds to final states of FA2 only

D.It corresponds to any of the final states in FA1 or FA2

Question No:103 (Marks:1)  

Null strings can be specified on edges in:

A. Finite Automata

B. Non-Deterministic Finite Automata

C.Transition Graph

D. Melay Machine

Question No:104 (Marks:1)  

What is false about the PALINDROME LANGUAGE?

A. Every word is reverse of itself.

B. It is an infinite language.

C. FA can be build for it.

D. None of the given option

 

Question No:105 (Marks:1)  

While finding RE corresponding to TG, If TG has more than one startstate

then

A.Introduce the new start state

B. Eliminate the old start state

C. Replace the old start stat with final state

D.Replace the old final state with new start state

Question No:106 (Marks:1)  

All possible combinations of strings of a language including null string is

referred as:

A.Concatenation of a language with itself

B. Kleene star closure of a language

C. Multiplication of language with itself

D. Addition of a language with itself

Question No:107 (Marks:1)  

n! will be equal to:

A. n*n

B. n*(-n)!

C. n*(n-1)

D. n*(n-1)!

Question No:108 (Marks:1)  

While finding RE corresponding to a TG, we connect the new start state

with the old start state by transition.

A. a

B. b

C. Null

D.RE

Question No:109 (Marks:1)  

In proving Kleene Theorem II, if three states are connected then middle

state is removed by connecting first and third state and writing

 

corresponding RE in:

A. Sum

B. Concatenation

C. Difference

D. Asterisk

Question No:110 (Marks:1)  

In there must be transition for all the letters of a string.

A. NFA

B. GTG

C. TG

D. FA

Question No:111 (Marks:1)  

There is no question accepting any language in:

A. FA

B. TG

C. GTG

D.Moore machine

Question No:112 (Marks:1)  

The FA can be drawn for the regular expression (a+b)* with minimum

state(s).

A. 1

B. 2

C. 3

D. 4

Question No:113 (Marks:1)  

Which of the following does not contribute while finding out the length of

strings?

A. ^

B. a

 

C. b

D. a+b

Question No:114 (Marks:1)  

The language of all strings defined over alphabet set = {x, y} that ends

with same letters will have the maximum length of:

A. 1

B. 2

C. 3

D.Infinite

Question No:115 (Marks:1)  

Considering FA1 and FA2 states each. Now FA1+FA2 can have

maximum number of states.

A. 2

B. 3

C. More than 3

D. None of the given option

Question No:116 (Marks:1)  

Which one of the following is the RE for the language defined over Σ=

{a, b} having all the words starting with a?

A.(a + b)*

B. aa(a + b)+

C. a(a + b)*

D. a*(a + b)

Question No:117 (Marks:1)  

An ___________ can be considered to be an intermediate structure

between Finite automaton and Transition Graph.

A.RE

B. GTG

C. NFA

 

D. None of the given options

Question No:118 (Marks:1)  

Suppose a language L1 has 2 states and L2 has 2 states. If we have a

machine M that accepts L1 ∩ L2. Then, the total number of states in M is

equal to _______.

A. 2

B. 4

C. 6

D. 8

Question No:119 (Marks:1)  

FA corresponding to an NFA can be built by introducing a state

corresponding to the combination of states, for a letter having

A. No transition at certain state

B. One transition at certain state

C. Two transitions at certain state

D. More than two transitions at certain state

Question No:120 (Marks:1)  

Automata is the plural of __________.

A. Automate

B. Automaton

C. Automation

D. Automatic

Question No:121 (Marks:1)  

In NFA having no transition at certain. FA can be built by introducing:

A.Empty state

B. Combination of states

C. Initial state

D. Final state

 

Question No:122 (Marks:1)  

If S = { x }, then S* will be ___________.

A. {^,x,xxx,xxxx,xxxxx,…}

B. {^,x,xx,xxx,xxxx,…}

C. {^,x,xxx,xxxxx,xxxxxxx,…}

D. {^,xx,xxxx,xxxxxx,xxxxxxxx,…}

Question No:123 (Marks:1)  

In TG, the string is supposed to be _____________ if there is no path for

a string from initial to final state.

A. Accept null string

B. Accept all strings

C. Accept all non-empty strings

D. Does not accept any string

Question No:124 (Marks:1)  

In Moore machine, if the length of input string is 9, then the length of

output string will be:

A. 7

B. 8

C. 9

D. 10

Question No:125 (Marks:1)  

When ODD language is expressed by an FA, then it will have minimum

_______ states.

A. One

B. Two

C. Three

D. Four

Question No:126 (Marks:1)  

[(a + b)(a + b)]*, given RE cannot generate the string ________.

 

A. abbaabab

B. abbbaa

C. bbbbbb

D. abbbaaaaa

Question No:127 (Marks:1)  

The recursive method for defining a language has ______________ steps.

A. One

B. Two

C.Three

D. Four

Question No:128 (Marks:1)  

Consider the following RE:

a(a + b)b*

All of the following words are accepted except .

A. aab

B. abb

C. aa

D. aba

Question No:129 (Marks:1)  

For every three regular expressions R, S, T, the languages denoted byR(S

ꓴ T) and (RS) ꓴ (RT) are the .

A. Same

B. Different

C. R(S ꓴ T) is greater

D. None of the given options

Question No:130 (Marks:1)  

Alphabet S = {a, bc, cc} has number of letters.

A. One

B. Two

 

C.Three

D. Four

Question No:131 (Marks:1)  

Two FAs are said to be equivalent, if they ______________.

A. Accept null string

B. Accept same language

C. Accept different language

D. None of the given options

Question No:132 (Marks:1)  

------------ can also help in proving Kleene Theorem III.

A. NFA

B. PDA

C. Moore machine

D. Melay machine

Question No:133 (Marks:1)  

Kleene’s Theorem Part II expresses the relationship between _____.

A. FA and TG

B. TG and RE

C. RE and FA

D. FA and RE

Question No:134 (Marks:1)  

If two RE’s generate same language then these RE’s are called

___________.

A. Same RE

B. Equal RE

C. Similar RE

D.Equivalent RE

Question No:135 (Marks:1)  

 

Every FA should be .

A. Deterministic

B. Non-deterministic

C. Deterministic and non-deterministic

D. Not depends on language

Question No:136 (Marks:1)  

What statement is true?

A. A letter is always a combination of symbols

B. A letter may consist of one symbol

C. There is no difference between symbol and letter

D. Letters and symbols are the same thing

Question No:137 (Marks:1)  

If ∑= {ab, bb}, then ∑* will not contain

A. abbbab

B. bbba

C. bbbbab

D. ababbb

Question No:138 (Marks:1)  

Choose the correct word produced by RE (a + b)*ab.

A. abb

B. abab

C. bbbb

D. aaaa

Question No:139 (Marks:1)  

According to 1st part of the Kleene’s theorem, If a language can be

accepted by an FA then it can be accepted by a as well

A. FA

B. CFG

C. GTG

 

D.TG

Question No:140 (Marks:1)  

“One language can be expressed by GTG”.

A. Only one

B. Only two

C. More than one

Question No:141 (Marks:1)  

If a TG has more than one start states, then we can make a single startstate

by introducing a new state and connecting it with all the previously

existing start states by using.

A. Any infinite string

B. Single letter string

C. Null string

D. Any finite string

Question No:142 (Marks:1)  

If in a NFA, ^ is allowed to be a label of an edge then that NFA iscalled

.

A. TG

B. RE

C. NFA with null string

D.RE

Question No:143 (Marks:1)  

If we want to make a Moore machine equivalent to mealy machinethen

A.We should ignore the extra character printed by the Moore

machine.

B. We should ignore the extra character printed by the Mealy machine.

C. We will make the initial state as a no carry state.

D.We should not ignore the extra character printed by the Moore

machine.

 

Question No:144 (Marks:1)  

Two machines are said to be equivalent if they print the output string

when same input string is run no them.

A. Same

B. Different

C. Inverse

D. Null

Question No:145 (Marks:1)  

The length of output in case of is one more than the length of

corresponding input string

A. Moore machine

B. Mealy machine

C. Incremental machine

D. Adding machine

Question No:146 (Marks:1)  

A is not a valid transition in

A. TG

B. GTG

C. NFA

D.RE

Question No:147 (Marks:1)  

Dead states are also called

A.John Davey Lockers

B. Davey John Lockers

C. Mutex Lockers

D. Semaphores

Question No:148 (Marks:1)  

 

Language of all strings whose length is odd and number of y’s even

defined over alphabet set ∑ = {x, y} . will be accepted by the given

language.

A. xxyxyxyyyx

B. xxyxyxyyyxy

C. xxyxyxyyyxx

D. xxyxyxyyy

Question No:149 (Marks:1)  

If an effectively solvable problem has answer in Yes or NO. then the

solution is called

A.Infinite problem

B. Decision procedure

C. Finite solution

D. Optimal procedure

Question No:150 (Marks:1)  

If the intersection of two regular languages is regular then thecomplement

of the intersection of these two languages is

A. Regular

B. Irregular

C. Irregular but finite

D.Irregular but infinite

Question No:151 (Marks:1)  

If R is regular language and Q is any language (regular/non-regular).

Then Pref( in ) is regular.

A. Q, Q

B. Q, R

C. R, Q

D.R, R

Question No:152 (Marks:1)  

 

The strings or words which do not belong to a language are called

of that language

A.Intersection

B. Union

C. Complement

D. Quotient

Question No:153 (Marks:1)  

Prime is a language.

A. Finite

B. Both context free and regular

C. Regular

D. Non-regular

Question No:154 (Marks:1)  

Finite Automaton (FA) must have number of states while alanguage

has words.

A.Infinite, finite

B. Finite, finite

C. Finite, infinite

D.Infinite, infinite

Question No:155 (Marks:1)  

The language “PRIME” is an example of language.

A.Regular but finite

B. Regular

C. Non regular but finite

D. Non regular Page 75

Question No:156 (Marks:1)  

If L1 and L2 are regular languages then which statement is NOT true?

A. L1 + L2 is always regular

B. L1 L2 is always regular

 

C.L1/L2 is always regular

D. L1* is always regular

Question No:157 (Marks:1)  

If a language is regular it must generate number of distinctclasses.

A. Finite

B. Infinite

C. Two

D. three

Question No:158 (Marks:1)  

The operators like (* . +) in the parse tree are considered as

A.Terminals

B. Non-terminals

C. Productions

D.Intermediates

Question No:159 (Marks:1)  

Set of all palindromes over {a,b} is:

A.Regular

B. Regular and finite

C. Regular and infinite

D. Non-regular

Question No:160 (Marks:1)  

Which one of the following languages is a non-regular language?

A. Even-even

B. Containing double a

C. Start and end with same letter

D. Palindrome

Question No:161 (Marks:1)  

 

The language of all strings partition ∑* into class(es).

A. One

B. Two

C. Three

D. Four

Question No:162 (Marks:1)  

The language of all strings not beginning with ‘b’ partitions ∑* into

distinct classes.

A. Two

B. Three

C. Four

D. Five

Question No:163 (Marks:1)  

The values of input (say a & b) do not remain same in one cycle dueto

A. NAND gate

B. Clock pulse

C. OR gate

D. NOT gate

Question No:164 (Marks:1)  

In a CFG, the non-terminals are denoted by

A. Small letters

B. Numbers

C. Capital letters

D. Small letters and numbers

Question No:165 (Marks:1)  

a* + b* = (a + b)* this expression is

A. True

B. False

Question No:166 (Marks:1)  

 

Length of EVEN-EVEN language is always_________.

A.Even

B. Odd

C. Sometimes even & sometimes odd

D. Such language doesn’t exist

Question No:167 (Marks:1)  

While finding RE corresponding to TG, we connect the new start stateto

the old start state by the transition labeled by

A. a

B. b

C. null

D. none of the given options

Question No:168 (Marks:1)  

Given S, Kleene star closure is denoted by

A. S*

B. S+

C. SD. None of these

Question No:169 (Marks:1)  

Which of the following steps replaces multiple incoming transitionedges

with a single one in proving Kleene’s theorem part ||?

A. 1

B. 2

C. 3

D. 4

Question No:170 (Marks:1)  

If r1 = (aa + bb) and r2 = (a + b) then the language (aa + bb)(a + b) will

be generated by ____________.

A.(r1)(r2)

 

B. (r1 + r2)

C. (r2)(r1)

D.(r1)*

Question No:171 (Marks:1)  

The language having even number of a’s and even number of b’s

defined over S = {a, b} is called _______________.

A.EVEN-EVEN

B. ODD-ODD

C. PALINDROME

D. FACTORIAL

Question No:172 (Marks:1)  

If L1’ and L2’ are regular languages. Then L1,L2 will be

A. Regular

B. Non regular

C. May be regular

D. None of the mentioned

Question No:173 (Marks:1)  

f FA1 corresponding to (a+b)* then FA1 must accept

string/strings

A. No

B. Odd length

C. Even length

D.Every

Question No:174 (Marks:1)  

In FA, initial state can be represented by:

A. Drawing an arrow head before that state

B. Drawing a circle in that state

C. leave the state empty

D. Drawing ‘+’ sign in that state

 

Question No:175 (Marks:1)  

An FA is a collection of:

A. Finite states, finite transition and finite input letters

B. Infinite states, infinite transition and infinite input letters

C. Only finite states and finite transitions

D. Only infinite states and infinite transitions

Question No:176 (Marks:1)  

NFA with null string has ---------- initial state(s).

A. One

B. Two

C. Four

D. Three

Question No:177 (Marks:1)  

The difference between number of states with regular expression (a +b)

and (a + b)* is:

A. 0

B. 1

C. 2

D. 3

Question No:178 (Marks:1)  

A transition graph is converted into a(n) in order to obtain regular

expression.

A. FA

B. GTG

C. NFA

D. NFA

Question No:179 (Marks:1)  

Consider the languages L1 = and L2 = {a}. Which one of thefollowing

 

represents L1 L2* ꓴ L1*

A. ^

B. a*

C. All of the mentioned

D. None of the mentioned

Question No:180 (Marks:1)  

If S = {a, b} then which of the following RE will generate all possible

strings?

A. a* + b*

B. (ab)*

C.(a + b)*

D.(ab + ba)*

Question No:181 (Marks:1)  

In drawing FA3 (which is equal to FA1 + FA2), a state will bedeclared

final if

A.It corresponds to final states of both FA1 and FA2

B. It corresponds to final states of FA1

C. It corresponds to final states of FA2

D.It corresponds to any of the final states in FA1 or FA2

Question No:182 (Marks:1)  

Let S = {a, bb, bab, baabb} be a set of strings, which one of the following

will not be included in S*?

A. baba

B. baabbabb

C. bbaaabb

D. bbbaabaabb

Question No:183 (Marks:1)  

The length of string “AbBAbcd” defined over Σ ={Ab,B,c,d} is

___________.

 

A. One

B. Two

C. Five

D. Four

Question No:184 (Marks:1)  

In case of finite automaton there ________ be a transition on each

_______ for every letter of the alphabet set.

A.Must, state

B. May be, state

C. Often, edge

D. Must, edge

Question No:185 (Marks:1)  

Which one of the following word is not accepted by the given regular

expression? (a+b)*(aaa+bbb)(a+b)*

A. Ababaaaab

B. Bababbbba

C.Baabaabba

D. Abbaaabba

Question No:186 (Marks:1)  

1 Let FA1 accepts many strings and FA2 accepts none then FA1+FA2

will be equal to:

A. FA1

B. FA2

C. FA2-FA1

D.(FA2)

Question No:187 (Marks:1)  

Edges are expressed with a regular expression in:

A. GTG Page 23

B. FA

 

C. NFA

D. TG

Question No:188 (Marks:1)  

NFA corresponding to union of FAs is built by introducing a new start

state and connect it to the states originally connected to the old start state

with the --------- transitions as the old start state:

A. Same

B. Union of

C. Different

D.Concatenated

Question No:189 (Marks:1)  

---------- state is not important in Moore machine.

Final

Start

Question No:190 (Marks:1)  

If we subtract a binary number 1010 from the binary number 1101(ignore

the overflow), then the result will be:

1100

0011

Question No:191 (Marks:1)  

In concatenation, we include the initial state of FA2 automatically after

the final state of FA1 because of:

A.We need just two initial states

B. We need just one initial state

C.Some part of the string may be accepted by FA2

D.The strings of FA2 are accepted first before the strings of

FA1

 

Question No:192 (Marks:1)  

a(a+b)*b + b(a+b)*a is the regular expression of language defined over

Σ={a,b} that is ________.

starting with a and ending in a

Question No:193 (Marks:1)  

GTG for the expression (a+b)*bb may have minimum number of states:

Aaabcbbcbacc

Question No:194 (Marks:1)  

Which of the following state is introduced while developing NFA for the

closure of an FA?

A. Final state

B. Simply an initial state

C. An initial state with loop for all letters

D. An initial state which should be final as well

Question No:195 (Marks:1)  

In NFA,if null word (lambda) is allowed to be a label of an edge, then that

NFA is called _________.

A. NFA with one string

B. NFA with two strings

C. NFA with null string

D.NFA without null string

Question No:196 (Marks:1)  

Which one of the following is a correct word produced by the RE

(a*b*)ab?

abab

Question No:197 (Marks:1)  

While developing NFA for the union of FA1 and FA2, if there is a loop

 

of ‘a’ at the initial state of FA1 then the new initial state will have a

transition for ‘a’ that goes straight to:

A. the final state of FA1

B. The initial state of FA1

C. the initial state of FA2

D. the initial state of FA1*FA1

Question No:198 (Marks:1)  

Let L be the language of all strings, defined over Σ = {0,1}, ending in 111.

Which of the following strings are distinguishable with respect to L with

z being 11?

111, 101

Question No:199 (Marks:1)  

Which one of the following word is not accepted by the given regular

expression?

abbbbaa

Question No:200 (Marks:1)  

Which of the following is not a step-in elimination of states procedure?

Unify single transitions to multi transitions that contains union of

input

Question No:201 (Marks:1)  

In Moore machine the output depends on

The state

Question No:202 (Marks:1)  

While developing NFA for the union of FA1 and FA2, there will be

The initial state of FA1

Question No:203 (Marks:1)  

Let FA3 be an FA corresponding to FA1FA2, then the final state of FA3

 

must correspond to the final state of

A. FA2 only

B.FA1 only

C.FA1 or FA2

D.FA1 and FA2

Question No:204 (Marks:1)  

Let FA3 be an FA corresponding to FA1FA2, then the initial state of FA3

must correspond to the initial state of

A. FA1 only

B. FA2 only

C.FA1 or FA2

D. FA1 and FA2

Question No:205 (Marks:1)  

Mealy machine is equivalent to Moore machine, if we:

Applications of complementing and incrementing machines

Question No:206 (Marks:1)  

In the context of make NFA for the concatenation of FA1 and FA2 (FA2

accepting null string), which of the following option is correct?

A.Final states in both FAs

B. Initial states in both FAs

C. FA2 having final state only

D. FA2 having initial state only

Question No:207 (Marks:1)  

In the context of make NFA for the concatenation of FA1 and FA2 (none

accepting null string), which of the following option is correct?

A. No final state in FA2 only

B. No initial state in FA1 only

C. No final and initial states in FA1 and FA2 respectively

 

D. No initial and final states in FA1 and FA2 respectively

Question No:208 (Marks:1)  

Let FA1 accepts many strings and FA2 accepts no string, then FA1+FA2

will be equal to:

A. FA1

B. FA2

C. (FA2)*

D. FA2-FA1

Question No:209 (Marks:1)  

The minimum length of the strings(except null string) of a language that

starts and ends in the same letters will be:

A. 1

B. 2

C. 3

D. 4

Question No:210 (Marks:1)  

While developing NFA for the union of FA1 and FA2, there will be

_____________ transition/transitions for both ‘a’ and ‘b’ on the new

initial state.

A. Single

B. Multiple

C. Only one

D. Only three

Question No:211 (Marks:1)  

Which of the following form correctly expressed the regular expression

RR*?

A. R+

B. RC. R*

D.R+R-

 

Question No:212 (Marks:1)  

Which of the following is not a step in elimination of states procedure?

A. Unifying all the final states into one using e-transitions

B. Get the resulting regular expression by direct calculation

C. Remove states until there is only starting and accepting states

D. Unify single transitions to multi transitions that contains union

of input

Question No:213 (Marks:1)  

In the context of make NFA for the concatenation of FA1 and FA2 (Both

FAs accepting null string), which of the following option is correct?

A.Initial states in both FAs

B. Final states in both FAs

C. FA2 having initial state only

D. FA2 having final state only

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