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121
GATE DS&AI 2024 | Question: 16
Consider a database that includes the following relations: Defender(name, rating, side, goals) Forward(name, rating, assists, goals) Team(name, club, price) Which ONE of the following relational algebra expressions checks that every name occurring in Team appears in ... $\left.)\right) \backslash \Pi_{\text {name }}($ Team $)=\phi$
Arjun
asked
in
Others
Feb 16
by
Arjun
877
views
gate-ds-ai-2024
0
votes
1
answer
122
GATE DS&AI 2024 | Question: 17
Let the minimum, maximum, mean and standard deviation values for the attribute income of data scientists be ₹$46000$, ₹ $170000$, ₹ $96000$, and ₹ $21000$, respectively. The $z$-score normalized income value of ₹ $106000$ is closest to which ONE of the following options? $0.217$ $0.476$ $0.623$ $2.304$
Arjun
asked
in
Others
Feb 16
by
Arjun
670
views
gate-ds-ai-2024
0
votes
1
answer
123
GATE DS&AI 2024 | Question: 18
Consider the following tree traversals on a full binary tree: Preorder Inorder Postorder Which of the following traversal options is/are sufficient to uniquely reconstruct the full binary tree? $\text{(i) and (ii)}$ $\text{(ii) and (iii)}$ $\text{(i) and (iii)}$ $\text{(ii) only}$
Arjun
asked
in
Others
Feb 16
by
Arjun
1.0k
views
gate-ds-ai-2024
0
votes
1
answer
124
GATE DS&AI 2024 | Question: 19
Let $x$ and $y$ be two propositions. Which of the following statements is a tautology /are tautologies? $(\neg x \wedge y) \Rightarrow(y \Rightarrow x)$ $(x \wedge \neg y) \Rightarrow(\neg x \Rightarrow y)$ $(\neg x \wedge y) \Rightarrow(\neg x \Rightarrow y)$ $(x \wedge \neg y) \Rightarrow(y \Rightarrow x)$
Arjun
asked
in
Others
Feb 16
by
Arjun
758
views
gate-ds-ai-2024
0
votes
3
answers
125
GATE DS&AI 2024 | Question: 20
Consider sorting the following array of integers in ascending order using an inplace Quicksort algorithm that uses the last element as the pivot. \begin{array}{|l|l|l|l|l|} \hline 60 & 70 & 80 & 90 & 100 \\ \hline \end{array} The minimum number of swaps performed during this Quicksort is $\_\_\_\_\_\_\_\_$.
Arjun
asked
in
Algorithms
Feb 16
by
Arjun
1.2k
views
gate-ds-ai-2024
numerical-answers
algorithms
quick-sort
0
votes
2
answers
126
GATE DS&AI 2024 | Question: 21
Consider the following two tables named Raider and Team in a relational database maintained by a Kabaddi league. The attribute ID in table Team references the primary key of the Raider table, ID. Raider ID Name Raids RaidPoints $1$ Arjun $200$ $250$ $2$ ... Jaipur" AND RaidPoints > 200; The number of rows returned by this query is $\_\_\_\_\_\_\_\_$.
Arjun
asked
in
Databases
Feb 16
by
Arjun
799
views
gate-ds-ai-2024
numerical-answers
databases
sql
0
votes
1
answer
127
GATE DS&AI 2024 | Question: 22
The fundamental operations in a double-ended queue $D$ are: insertFirst (e) - Insert a new element $e$ at the beginning of $D$. insertLast (e) - Insert a new element $e$ at the end of D. removeFirst () - Remove and return the first element of $D$. removeLast () ... $\mathbf{a} \leftarrow$ removeLast () The value of $\mathbf{a}$ is $\_\_\_\_\_\_\_\_$.
Arjun
asked
in
DS
Feb 16
by
Arjun
666
views
gate-ds-ai-2024
numerical-answers
data-structures
0
votes
1
answer
128
GATE DS&AI 2024 | Question: 23
Let $f: \mathbb{R} \rightarrow \mathbb{R}$ be the function $f(x)=\frac{1}{1+e^{-x}}$. The value of the derivative of $f$ at $x$ where $f(x)=0.4$ is $\_\_\_\_\_\_\_$. (rounded off to two decimal places). Note: $\mathbb{R}$ denotes the set of real numbers.
Arjun
asked
in
Others
Feb 16
by
Arjun
677
views
gate-ds-ai-2024
numerical-answers
0
votes
2
answers
129
GATE DS&AI 2024 | Question: 24
The sample average of $50$ data points is $40$. The updated sample average after including a new data point taking the value of $142$ is $\_\_\_\_\_\_\_\_$.
Arjun
asked
in
Others
Feb 16
by
Arjun
687
views
gate-ds-ai-2024
numerical-answers
0
votes
1
answer
130
GATE DS&AI 2024 | Question: 25
Consider the $3 \times 3$ matrix $\boldsymbol{M}=\left[\begin{array}{lll}1 & 2 & 3 \\ 3 & 1 & 3 \\ 4 & 3 & 6\end{array}\right]$. The determinant of $\left(\boldsymbol{M}^{2}+12 \boldsymbol{M}\right)$ is $\_\_\_\_\_\_\_\_\_$.
Arjun
asked
in
Others
Feb 16
by
Arjun
612
views
gate-ds-ai-2024
numerical-answers
0
votes
1
answer
131
GATE DS&AI 2024 | Question: 26
A fair six-sided die (with faces numbered $1,2,3,4,5,6$ ) is repeatedly thrown independently. What is the expected number of times the die is thrown until two consecutive throws of even numbers are seen? $2$ $4$ $6$ $8$
Arjun
asked
in
Probability
Feb 16
by
Arjun
971
views
gate-ds-ai-2024
probability
0
votes
1
answer
132
GATE DS&AI 2024 | Question: 27
Let $f: \mathbb{R} \rightarrow \mathbb{R}$ be a function. Note: $\mathbb{R}$ denotes the set of real numbers. \[ f(x)=\left\{\begin{array}{cl} -x, & \text { if } x<-2 \\ a x^{2}+b x+c, & \text { if } x \in[-2,2] \\ x, & \text { if } x>2 \end ... differentiable? $a=\frac{1}{4}, b=0, c=1$ $a=\frac{1}{2}, b=0, c=0$ $a=0, b=0, c=0$ $a=1, b=1, c=-4$
Arjun
asked
in
Others
Feb 16
by
Arjun
761
views
gate-ds-ai-2024
0
votes
1
answer
133
GATE DS&AI 2024 | Question: 28
Consider the following Python code: def count(child_dict, i): if i not in child_dict.keys(): return 1 ans $=1$ for $j$ in child_dict[i]: ans $+=$ count (child_dict, j) return ans child_dict $=$ dict () child_dict $[0]=[1,2]$ child_dict $[1]=[3,4,5]$ ... $)$ ) Which ONE of the following is the output of this code? $6$ $1$ $8$ $9$
Arjun
asked
in
Programming in Python
Feb 16
by
Arjun
789
views
gate-ds-ai-2024
programming
0
votes
2
answers
134
GATE DS&AI 2024 | Question: 29
Consider the function computes $(X)$ whose pseudocode is given below: computes $(X)$ $S[1] \leftarrow 1$ for $i \leftarrow 2$ to length $(X)$ $S[i] \leftarrow 1$ if $X[i-1] \leq X[i]$ $S[i] \leftarrow S[i]+S[i-1]$ end if end for return $S$ Which ONE of the following values is ... for $X=[6,3,5,4,10]$ ? $[1,1,2,3,4]$ $[1,1,2,3,3]$ $[1,1,2,1,2]$ $[1,1,2,1,5]$
Arjun
asked
in
Others
Feb 16
by
Arjun
607
views
gate-ds-ai-2024
0
votes
1
answer
135
GATE DS&AI 2024 | Question: 30
Let $F(n)$ denote the maximum number of comparisons made while searching for an entry in a sorted array of size $n$ using binary search. Which ONE of the following options is TRUE? $F(n)=F(\lfloor n / 2\rfloor)+1$ $F(n)=F(\lfloor n / 2\rfloor)+F(\lceil n / 2\rceil)$ $F(n)=F(\lfloor n / 2\rfloor)$ $F(n)=F(n-1)+1$
Arjun
asked
in
Algorithms
Feb 16
by
Arjun
790
views
gate-ds-ai-2024
algorithms
binary-search
0
votes
2
answers
136
GATE DS&AI 2024 | Question: 31
Consider the following Python function: def $\operatorname{fun}(D, s 1, s 2)$ : if $\mathrm{s} 1<\mathrm{s} 2$ ... both inclusive. It swaps the elements in $\mathrm{D}$ at indices $\mathrm{s} 1$ and $\mathrm{s} 2$, and leaves the remaining elements unchanged.
Arjun
asked
in
Programming in Python
Feb 16
by
Arjun
864
views
gate-ds-ai-2024
programming
0
votes
2
answers
137
GATE DS&AI 2024 | Question: 32
Consider the table below, where the $(i, j)^{t h}$ element of the table is the distance between points $x_{i}$ and $x_{j}$. Single linkage clustering is performed on data points, $x_{1}, x_{2}, x_{3}, x_{4}, x_{5}$. \begin{array} ... & 3 & 5 & 1 & 0 \\ \hline \end{array} Which ONE of the following is the correct representation of the clusters produced?
Arjun
asked
in
Others
Feb 16
by
Arjun
643
views
gate-ds-ai-2024
0
votes
1
answer
138
GATE DS&AI 2024 | Question: 33
Consider the two neural networks (NNs) shown in Figures $1$ and $2$, with $R e L U$ activation $(\text{ReLU}(z)=\max \{0, z\}, \forall z \in \text{R})$. The connections and their corresponding weights are shown in the Figures. The biases at every neuron are set to $0$. ... real numbers. $p=36, q=24, r=24$ $p=24, q=24, r=36$ $p=18, q=36, r=24$ $p=36, q=36, r=36$
Arjun
asked
in
Others
Feb 16
by
Arjun
620
views
gate-ds-ai-2024
0
votes
1
answer
139
GATE DS&AI 2024 | Question: 34
Consider a state space where the start state is number $1$. The successor function for the state numbered $n$ returns two states numbered $n+1$ and $n+2$. Assume that the states in the unexpanded state list are expanded in the ascending order of ... than BFS. Both BFS and DFS expand equal number of states. Both BFS and DFS do not reach the goal state number $6$.
Arjun
asked
in
Others
Feb 16
by
Arjun
791
views
gate-ds-ai-2024
0
votes
1
answer
140
GATE DS&AI 2024 | Question: 35
Consider the following sorting algorithms: Bubble sort Insertion sort Selection sort Which ONE among the following choices of sorting algorithms sorts the numbers in the array $[4,3,2,1,5]$ in increasing order after exactly two passes over the array? $\text{(i)}$ only $\text{(iii)}$ only $\text{(i)}$ and $\text{(iii)}$ only $\text{(ii)}$ and $\text{(iii)}$ only
Arjun
asked
in
Algorithms
Feb 16
by
Arjun
795
views
gate-ds-ai-2024
algorithms
sorting
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