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GO Classes Weekly Quiz 4 | Propositional Logic | Question: 4
If $\mathbf{p}$ is true, $\mathbf{q}$ is true, and $\mathbf{r}$ is true, find the truth value of the statement. $ (p \wedge q) \leftrightarrow(q \vee \sim r) $ Choose the correct answer below. True because $(p \wedge q)$ ... and $(q \vee \sim r)$ is false. False because $(p \wedge q)$ is true and $(q \vee \sim r)$ is true.
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GO Classes Weekly Quiz 4 | Propositional Logic | Question: 5
If $p$ is true and $q$ is false then the truth values of $(p \rightarrow q) \leftrightarrow(\sim q \rightarrow \sim p)$ and $(\sim p \vee \sim q) \wedge(\sim q \vee p)$ are respectively True, True True, False False, False False, True
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GO Classes Weekly Quiz 4 | Propositional Logic | Question: 6
If $(p \wedge \sim q) \wedge(p \wedge r) \rightarrow \sim p \vee q$ is false, then the truth values of $p, q$ and $r$ are, respectively : $F, T, F$ $T, F, T$ $T, T, T$ $F, F, F$
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GO Classes Weekly Quiz 4 | Propositional Logic | Question: 7
If $p, q, r$ are simple statement with truth values $T, F, T$ respectively then the truth value of $((\sim p \vee q) \wedge r) \rightarrow p$ is : True False True if $r$ is false True if $q$ is true
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GATE CSE 2023 | Question: 1
Consider the following statements regarding the front-end and back-end of a compiler. S1: The front-end includes phases that are independent of the target hardware. S2: The back-end includes phases that are specific to the target hardware. S3: The back-end includes phases that are ... $\mathbf{S 3}$ are all TRUE. Only $\mathbf{S 1}$ and $\mathbf{S 3}$ are TRUE.
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Compiler Design
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GATE CSE 2023 | Question: 2
Which one of the following sequences when stored in an array at locations $A[1], \ldots, A[10]$ forms a max-heap? $23,17,10,6,13,14,1,5,7,12$ $23,17,14,7,13,10,1,5,6,12$ $23,17,14,6,13,10,1,5,7,15$ $23,14,17,1,10,13,16,12,7,5$
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DS
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GATE CSE 2023 | Question: 3
Let $\textsf{SLLdel}$ be a function that deletes a node in a singly-linked list given a pointer to the node and a pointer to the head of the list. Similarly, let $\textsf{DLLdel}$ be another function that deletes a node in a doubly-linked list given a pointer to the node ... $\textsf{DLLdel}$ are $O(1)$ $\textsf{SLLdel}$ is $O(n)$ and $\textsf{DLLdel}$ is $O(1)$
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DS
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linked-list
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6
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GATE CSE 2023 | Question: 4
Consider the Deterministic Finite-state Automaton ($\text{DFA}$) $\mathcal{A}$ shown below. The $\text{DFA}$ runs on the alphabet $\{0,1\}$, and has the set of states $\{s, p, q, r\}$, with $s$ being the start state and $p$ being the only final state. Which one of the following ... $1\left(0^{*} 11\right)^{*}$ $0(0+1)^{*}$ $1(0+11)^{*}$ $1\left(110^{*}\right)^{*}$
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Theory of Computation
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regular-expression
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4
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9
GATE CSE 2023 | Question: 5
The Lucas sequence $L_{n}$ is defined by the recurrence relation: \[ L_{n}=L_{n-1}+L_{n-2}, \quad \text { for } \quad n \geq 3, \] with $L_{1}=1$ and $L_{2}=3$ ... $L_{n}=\left(\frac{1+\sqrt{5}}{2}\right)^{n}-\left(\frac{1-\sqrt{5}}{2}\right)^{n}$
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Combinatory
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combinatory
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3
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GATE CSE 2023 | Question: 6
Which one of the options given below refers to the degree (or arity) of a relation in relational database systems? Number of attributes of its relation schema. Number of tuples stored in the relation. Number of entries in the relation. Number of distinct domains of its relation schema.
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Databases
Feb 15
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4
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GATE CSE 2023 | Question: 7
Suppose two hosts are connected by a point-to-point link and they are configured to use $\textsf{Stop-and-Wait}$ protocol for reliable data transfer. Identify in which one of the following scenarios, the utilization of the ... Longer link length and higher transmission rate Shorter link length and lower transmission rate Shorter link length and higher transmission rate
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Computer Networks
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3
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GATE CSE 2023 | Question: 8
Let \[ A=\left[\begin{array}{llll} 1 & 2 & 3 & 4 \\ 4 & 1 & 2 & 3 \\ 3 & 4 & 1 & 2 \\ 2 & 3 & 4 & 1 \end{array}\right] \] and \[ B=\left[\begin{array}{llll} 3 & 4 & ... $\operatorname{det}(B)=-\operatorname{det}(A)$ $\operatorname{det}(A)=0$ $\operatorname{det}(A B)=\operatorname{det}(A)+\operatorname{det}(B)$
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Linear Algebra
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linear-algebra
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GATE CSE 2023 | Question: 9
Consider the following definition of a lexical token $\textbf{id}$ for an identifier in a programming language, using extended regular expressions: \[ \begin{array}{ll} \textbf{ letter } & \rightarrow[\mathrm{A}-\mathrm{Za}-\mathrm{ ... Finite-state Automata with $\epsilon$-transitions accepts the set of valid identifiers? (A double-circle denotes a final state)
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Theory of Computation
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regular-expression
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14
GATE CSE 2023 | Question: 10
An algorithm has to store several keys generated by an adversary in a hash table. The adversary is malicious who tries to maximize the number of collisions. Let $k$ be the number of keys, $m$ be the number of slots in the hash ... a carefully chosen constant. Universal hashing method. If $k$ is a prime number, use Division method. Otherwise, use Multiplication method.
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Algorithms
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algorithms
hashing
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GATE CSE 2023 | Question: 11
The output of a $2$-input multiplexer is connected back to one of its inputs as shown in the figure. Match the functional equivalence of this circuit to one of the following options. $\text{D}$ Flip-flop $\text{D}$ Latch Half-adder Demultiplexer
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Digital Logic
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