McqMate
These multiple-choice questions (MCQs) are designed to enhance your knowledge and understanding in the following areas: Computer Science Engineering (CSE) , Master of Computer Applications (MCA) .
Chapters
| 101. |
Let SHAM3 be the problem of finding a Hamiltonian cycle in a graph G =(V,E)with V divisible by 3 and DHAM3 be the problem of determining if a Hamiltonian cycle exists in such graphs. Which one of the following is true? |
| A. | Both DHAM3 and SHAM3 are NP-hard |
| B. | SHAM3 is NP-hard, but DHAM3 is not |
| C. | DHAM3 is NP-hard, but SHAM3 is not |
| D. | Neither DHAM3 nor SHAM3 is NP-hard |
| Answer» A. Both DHAM3 and SHAM3 are NP-hard | |
| 102. |
Consider the following statements about the context free grammar G = {S - >SS,S - >ab,S ->ba, S - ε}
|
| A. | 1 only |
| B. | 1 and 3 |
| C. | 2 and 3 |
| D. | 1,2 and 3 |
| Answer» D. 1,2 and 3 | |
| 103. |
Consider the regular language L =(111+11111)*. The minimum number of states in any DFA accepting this languages is: |
| A. | 3 |
| B. | 5 |
| C. | 8 |
| D. | 9 |
| Answer» D. 9 | |
| 104. |
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 |
| Answer» A. {S->bS,S->b,S->aA,S->bA,A->aB,B->bB,B->aS,S->a} | |
| 105. |
The production Grammar is {S->aSbb,S->abb} is |
| A. | type-3 grammar |
| B. | type-2 grammar |
| C. | type-1 grammar |
| D. | type-0 grammar |
| Answer» B. type-2 grammar | |
| 106. |
Regular expression (x/y)(x/y) denotes the set |
| A. | {xy,xy} |
| B. | {xx,xy,yx,yy} |
| C. | {x,y} |
| D. | {x,y,xy} |
| Answer» B. {xx,xy,yx,yy} | |
| 107. |
The regular expression have all strings in which any number of 0’s is followed by any number of 1’s followed by any number of 2’s is : |
| A. | (0+1+2)* |
| B. | 0*1*2* |
| C. | 0* + 1 + 2 |
| D. | (0+1)*2* |
| Answer» B. 0*1*2* | |
| 108. |
Suppose that a problem A is known to have a polynomial-time verification algorithm. Which of the following statements can be deduced. |
| A. | A is in NP. |
| B. | A is in NP but not P |
| C. | A is in both NP and P. |
| D. | A is NP-complete. |
| Answer» B. A is in NP but not P | |
| 109. |
Which of the following assertions about Turing Machines is true? Blank symbol(s) may occur in the input. At any stage of a computation, there are only finitely many non-blank Symbols on the tape. |
| A. | Assertions (a) and (b) are both true. |
| B. | Neither (a) nor (b) is true. |
| C. | Both False |
| D. | None of above |
| Answer» C. Both False | |
| 110. |
A PC not connected to a network is equivalent to |
| A. | A Deterministic Finite-State Automaton, |
| B. | A Turing Machine, |
| C. | A Push-Down Automaton, |
| D. | None of the above. |
| Answer» A. A Deterministic Finite-State Automaton, | |
| 111. |
Recursively enumerable languages are not closed under: |
| A. | Union |
| B. | Intersection |
| C. | Complementation |
| D. | Concatenation |
| Answer» C. Complementation | |
| 112. |
Let L1 be a recursive language, and let L2 be a recursively enumerable but not a recursive language. Which one of the following is TRUE? |
| A. | (L1)’ is recursive and (L2)’ is recursively enumerable |
| B. | (L1)’ is recursive and (L2)’ is not recursively enumerable |
| C. | (L1)’ and (L2)’ are recursively enumerable |
| D. | (L1)’ is recursively enumerable and (L2)’ is recursive |
| Answer» B. (L1)’ is recursive and (L2)’ is not recursively enumerable | |
| 113. |
Let S be an NP-complete problem, Q and R be two other problems not known to be in NP. Q is polynomial-time reducible to S and S is polynomial-time reducible to R. Which one of the following statements is true? |
| A. | R is NP-complete |
| B. | R is NP-hard |
| C. | Q is NP-complete |
| D. | Q is NP-hard |
| Answer» A. R is NP-complete | |
| 114. |
For s Є (0+1)* let d(s) denote the decimal value of s(e.g.d(101)) = 5 Let L = {s Є (0+1)* d(s) mod 5=2 and d(s) mod 7 != 4} Which one of the following statements is true? |
| A. | L is recursively enumerable, but not recursive |
| B. | L is recursive, but not context-free |
| C. | L is context-free, but not regular |
| D. | L is regular |
| Answer» D. L is regular | |
| 115. |
A FSM can be considered, having finite tape length without rewinding capability and unidirectional tape movement |
| A. | Turing machine |
| B. | Pushdown automata |
| C. | Context free languages |
| D. | Regular languages |
| Answer» A. Turing machine | |
| 116. |
Which of the following statement is true? |
| A. | All languages can be generated by CFG |
| B. | The number of symbols necessary to simulate a Turing Machine(TM) with m symbols and n states is mn. |
| C. | Any regular languages have an equivalent CFG. |
| D. | The class of CFG is not closed under union. |
| Answer» C. Any regular languages have an equivalent CFG. | |
| 117. |
Recursively enumerable languages are not closed under |
| A. | Complementation |
| B. | Union |
| C. | Intersection |
| D. | None of the above |
| Answer» A. Complementation | |
| 118. |
The following CFG is in
|
| A. | Chomsky normal form but not strong Chomsky normal form |
| B. | Weak Chomsky normal form but not Chomsky normal form |
| C. | Strong Chomsky normal form |
| D. | Greibach normal form |
| Answer» D. Greibach normal form | |
| 119. |
The languages -------------- are the examples of non regular languages. |
| A. | PALINDROME and PRIME |
| B. | PALINDROME and EVEN-EVEN |
| C. | EVEN-EVEN and PRIME |
| D. | FACTORIAL and SQURE |
| Answer» A. PALINDROME and PRIME | |
| 120. |
Let L be any infinite regular language, defined over an alphabet Σ then there exist three strings x, y and z belonging to Σ such that all the strings of the form XY^ n Z for n=1,2,3, … are the words in L called |
| A. | Complement of L |
| B. | Pumping Lemma |
| C. | Kleene’s theorem |
| D. | None in given |
| Answer» B. Pumping Lemma | |
| 121. |
Languages are proved to be regular or non regular using pumping lemma. |
| A. | True |
| B. | False |
| C. | Not always true |
| D. | can’t say anything |
| Answer» A. True | |
| 122. |
___________ states are called the halt states. |
| A. | ACCEPT and REJECT |
| B. | ACCEPT and READ |
| C. | ACCEPT AND START |
| D. | ACCEPT AND WRITE |
| Answer» A. ACCEPT and REJECT | |
| 123. |
The part of an FA, where the input string is placed before it is run, is called _______ |
| A. | State |
| B. | Transition |
| C. | Input Tape |
| D. | Output Tape |
| Answer» C. Input Tape | |
| 124. |
The PDA is called non-deterministic PDA when there are more than one out going edges from……… state |
| A. | START or READ |
| B. | POP or REJECT |
| C. | READ or POP |
| D. | PUSH or POP |
| Answer» C. READ or POP | |
| 125. |
If an effectively solvable problem has answered in yes or no, then this solution is called |
| A. | Decision procedure |
| B. | Decision method |
| C. | Decision problem |
| D. | Decision making |
| Answer» A. Decision procedure | |
| 126. |
The symbols that can’t be replaced by anything are called ----------------- |
| A. | Productions |
| B. | Terminals |
| C. | Non-terminals |
| D. | All of above |
| Answer» B. Terminals | |
| 127. |
Left hand side of a production in CFG consists of: |
| A. | One terminal |
| B. | More than one terminal |
| C. | One non-terminal |
| D. | Terminals and non-terminals |
| Answer» D. Terminals and non-terminals | |
| 128. |
Choose the incorrect statement: |
| A. | (a+b)aa(a+b)generates Regular language. |
| B. | A language consisting of all strings over ∑={a,b} having equal number of a’s and b’s is a regular language |
| C. | Every language that can be expressed by FA can also be expressed by RE |
| D. | None of these |
| Answer» D. None of these | |
| 129. |
Choose the incorrect statement. |
| A. | A Mealy machine generates no language as such |
| B. | A Mealy machine has no terminal state |
| C. | For a given input string, length of the output string generated by a Moore machine is not more than the length of the output string generated by that of a Mealy machine |
| D. | All of these |
| Answer» C. For a given input string, length of the output string generated by a Moore machine is not more than the length of the output string generated by that of a Mealy machine | |
| 130. |
In FA, if one enters in a specific state but there is no way to leave it, then that specific state is called |
| A. | Dead State |
| B. | Waste Basket |
| C. | Davey John Locker |
| D. | All of these |
| Answer» D. All of these | |
| 131. |
Which statement is true? |
| A. | The tape of turing machine is infinite. |
| B. | The tape of turing machine is finite. |
| C. | The tape of turing machine is infinite when the language is regular |
| D. | The tape of turing machine is finite when the language is nonregular. |
| Answer» A. The tape of turing machine is infinite. | |
| 132. |
If r1 = (aa + bb) and r2 = (a + b) then the language (aa + bb)(a + b) will be generated by Select correct option: |
| A. | (r1)(r2) |
| B. | (r1 + r2) |
| C. | (r2)(r1) |
| D. | (r1) |
| Answer» A. (r1)(r2) | |
| 133. |
Which of the following will be used for text searching application-? |
| A. | NFA |
| B. | DFA |
| C. | PDA |
| D. | None of these |
| Answer» C. PDA | |
| 134. |
Context free grammar is used for- |
| A. | Lexical analyzer |
| B. | Document type definition (DTD) |
| C. | Text pattern searching |
| D. | Both a & c |
| Answer» B. Document type definition (DTD) | |
| 135. |
The set strings of 0's and 1's with atmost one pair consecutive one's- |
| A. | (0+1)*(01)(10)(0+1)* |
| B. | (0+1)*(01)*(10)(0+1)* |
| C. | (0+1)*(01)(10)*(0+1)* |
| D. | (0+!)(01)*(10)*(0+1) |
| Answer» D. (0+!)(01)*(10)*(0+1) | |
| 136. |
The problem 3-SAT and 2-SAT are |
| A. | Both in P |
| B. | Both NP complete |
| C. | NP-complete and in P respectively |
| D. | Undecidable and NP-complete respectively |
| Answer» C. NP-complete and in P respectively | |
| 137. |
Which of the following instances of the post correspondence problem has a viable sequence (a solution)? |
| A. | {(b, bb), (bb, bab), (bab, abb), (abb, babb)} |
| B. | {(ab, aba), (baa, aa), (aba, baa)} |
| C. | {(ab, abb), (ba, aaa), (aa, a)} |
| D. | none of the above |
| Answer» C. {(ab, abb), (ba, aaa), (aa, a)} | |
| 138. |
Let FHAM be the problem of finding a Hamiltonian cycle in a graph G and DHAM be the problem of determining if a Hamiltonial cycle exists in a graph. Which one of the following is TRUE? |
| A. | Both FHAM and DHAM are NP-hard |
| B. | FHAM is NP hard, but DHAM is not |
| C. | DHAM is NP hard, but FHAM is not |
| D. | Neither FHAM nor DHAM is NP hard |
| Answer» A. Both FHAM and DHAM are NP-hard | |
| 139. |
Consider three problems P1, P2 and P3. It is known that P1 has polynomial time solution and P2 is NP-complete and P3 is in NP. Which one of the following is true. |
| A. | P3 has polynomial time solution if P1 is polynomial time reducible to P3 |
| B. | P3 is NP complete if P3 is polynomial time reducible to P2 |
| C. | P3 is NP complete if P2 is reducible to P3 |
| D. | P3 has polynomial time complexity and P3 is reducible to P2 |
| Answer» C. P3 is NP complete if P2 is reducible to P3 | |
| 140. |
Which one of the following is the strongest correct statement about a finite language Lover a finite alphabet Σ? |
| A. | L is undecidable |
| B. | L is recursive |
| C. | L is a CSL |
| D. | L is a regular set |
| Answer» D. L is a regular set | |
| 141. |
Which one of the following is not decidable? |
| A. | given a Turing machine M, a string s, and an integer k, M accepts s with k steps |
| B. | equivalence of two given Turing machines |
| C. | language accepted by a given DFSA is nonempty |
| D. | language generated by a CFG is nonempty |
| Answer» B. equivalence of two given Turing machines | |
| 142. |
Which of the following statements are TRUE?
|
| A. | 1, 2 and 3 |
| B. | 1 and 2 only |
| C. | 2 and 3 only |
| D. | 1 and 3 only |
| Answer» A. 1, 2 and 3 | |
| 143. |
Consider a graph G = (V, E) where I V I is divisible by 3. The problem of finding a Hamiltonian cycle in a graph is denoted by SHAM3 and the problem of determining if a Hamiltonian cycle exits in such graph is denoted by DHAM3. The option, which holds true, is |
| A. | Only DHAM3 is NP-hard |
| B. | Only SHAM3 is NP-hard |
| C. | Both SHAM3 and DHAM3 are NP-hard |
| D. | Neither SHAM3 nor DHAM3 is NP-hard |
| Answer» C. Both SHAM3 and DHAM3 are NP-hard | |
| 144. |
Which of the following statement is false for a turing machine? |
| A. | There exists an equivalent deterministic turing machine for every nondeterministic turing machine |
| B. | Turing decidable languages are closed under intersection and complementation |
| C. | Turing recognizable languages are closed under union and intersection |
| D. | Turing recognizable languages are closed under union and complementation |
| Answer» D. Turing recognizable languages are closed under union and complementation | |
| 145. |
Two persons X and Y have been asked to show that a certain problem p is NP-complete. X shows a polynomial time reduction from the 3-SAT problem to p and Y shows a polynomial time reduction from p to 3-SAT. From these reduction it can be inferred that |
| A. | P is NP-complete |
| B. | P is NP-hard but not NP-complete |
| C. | P is in NP but not NP-complete |
| D. | P is neither NP-hard nor in NP |
| Answer» A. P is NP-complete | |
| 146. |
3-SAT and 2-SAT problems are |
| A. | NP-complete and in P respectively |
| B. | Undecidable and NP-complete |
| C. | Both NP-complete |
| D. | Both in P |
| Answer» A. NP-complete and in P respectively | |
| 147. |
Let n be the positive integer constant and L be the language with alphabet {a}. To recognize L the minimum number of states required in a DFA will be |
| A. | 2k + 1 |
| B. | k + 1 |
| C. | 2n + 1 |
| D. | n + 1 |
| Answer» D. n + 1 | |
| 148. |
Consider a stack, which is limited to 10 items. The language accepted by a push- down automaton in such stack is best described as |
| A. | Regular |
| B. | Deterministic context free |
| C. | Context free |
| D. | Recursive |
| Answer» A. Regular | |
| 149. |
State table of an FSM is given below. There are two states A And B, one input and one output. Let the initial state be A = 0 and B = 0. To take the machine to the state A = 0 and B = 1 with output = 1 the minimum length of input string required will be |
| A. | 2 |
| B. | 7 |
| C. | 4 |
| D. | 3 |
| Answer» D. 3 | |
| 150. |
Out of the three decision problems P1, P2 and P3, P1 is decidable and P2 is undecidable. The statement that holds true is |
| A. | P3 is decidable if P3 is reducible to compliment of P2 |
| B. | P3 is decidable if P1 is reducible to P3 |
| C. | P3 is undecidable if P1 is reducible to P3 |
| D. | P3 is undecidable if P2 is reducible to P3 |
| Answer» D. P3 is undecidable if P2 is reducible to P3 | |
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