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Questions with numerical answers and no options. No negative marks for these questions.
Recent questions tagged numerical-answers
0
votes
3
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1
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
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in
Algorithms
Feb 17
by
Arjun
1.1k
views
gate-ds-ai-2024
numerical-answers
algorithms
quick-sort
0
votes
2
answers
2
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. \begin{tabular}{|l|l|l|l|} \hline \multicolumn{4 ... WHERE Raider.ID=Team.ID AND City="Jaipur" AND RaidPoints > 200; The number of rows returned by this query is
Arjun
asked
in
Databases
Feb 17
by
Arjun
761
views
gate-ds-ai-2024
numerical-answers
databases
sql
0
votes
1
answer
3
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 $e$ ... (28) insertLast (17) a $\leftarrow$ removeFirst () $\mathbf{a} \leftarrow$ removeLast () The value of $\mathbf{a}$ is
Arjun
asked
in
DS
Feb 17
by
Arjun
641
views
gate-ds-ai-2024
numerical-answers
data-structures
0
votes
1
answer
4
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: $\mathbb{R}$ ... 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 17
by
Arjun
653
views
gate-ds-ai-2024
numerical-answers
0
votes
2
answers
5
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 The sample average of 50 data points is 40 . The updated sample average after including a new data point taking ... 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 17
by
Arjun
663
views
gate-ds-ai-2024
numerical-answers
0
votes
1
answer
6
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 $\left(\boldsymbol{M}^{2}+12 \boldsymbol{M}\right)$ ... $\left(\boldsymbol{M}^{2}+12 \boldsymbol{M}\right)$ is
Arjun
asked
in
Others
Feb 17
by
Arjun
584
views
gate-ds-ai-2024
numerical-answers
0
votes
1
answer
7
GATE DS&AI 2024 | Question: 46
Let $X$ be a random variable uniformly distributed in the interval $[1,3]$ and $Y$ be a random variable uniformly distributed in the interval [2, 4]. If $X$ and $Y$ are independent of each other, the probability $P(X \geq Y)$ is (rounded off to ... If $X$ and $Y$ are independent of each other, the probability $P(X \geq Y)$ is (rounded off to three decimal places).
Arjun
asked
in
Others
Feb 17
by
Arjun
770
views
gate-ds-ai-2024
numerical-answers
0
votes
1
answer
8
GATE DS&AI 2024 | Question: 47
Let $X$ be a random variable exponentially distributed with parameter $\lambda>0$. The probability density function of $X$ is given by: \[ f_{X}(x)=\left\{\begin{array}{ll} \lambda e^{-\lambda x}, \quad x \geq 0 \\ 0, & \text ... $X$, respectively, the value of $\lambda$ is (rounded off to one decimal place).
Arjun
asked
in
Probability
Feb 17
by
Arjun
573
views
gate-ds-ai-2024
numerical-answers
probability
random-variable
0
votes
1
answer
9
GATE DS&AI 2024 | Question: 48
Consider two events $T$ and $S$. Let $\bar{T}$ denote the complement of the event $T$. The probability associated with different events are given as follows: \[ P(\bar{T})=0.6, \quad P(S \mid T)=0.3, \quad P(S \mid \bar{T})=0.6 \] Then, $P(T \mid S)$ is ( ... P(S \mid T)=0.3, \quad P(S \mid \bar{T})=0.6 \] Then, $P(T \mid S)$ is (rounded off to two decimal places).
Arjun
asked
in
Probability
Feb 17
by
Arjun
609
views
gate-ds-ai-2024
numerical-answers
probability
0
votes
1
answer
10
GATE DS&AI 2024 | Question: 49
Consider a joint probability density function of two random variables $X$ and $Y$ \[ f_{X, Y}(x, y)=\left\{\begin{array}{rll} 2 x y, & 0
Arjun
asked
in
Others
Feb 17
by
Arjun
912
views
gate-ds-ai-2024
numerical-answers
1
vote
1
answer
11
GATE DS&AI 2024 | Question: 50
Evaluate the following limit: \[ \lim _{x \rightarrow 0} \frac{\ln \left(\left(x^{2}+1\right) \cos x\right)}{x^{2}}= \] Evaluate the following limit: \[ \lim _{x \rightarrow 0} \frac{\ln \left(\left(x^{2}+1\right) \cos x\right)}{x^{2}}= \] ... Evaluate the following limit: \[ \lim _{x \rightarrow 0} \frac{\ln \left(\left(x^{2}+1\right) \cos x\right)}{x^{2}}= \]
Arjun
asked
in
Calculus
Feb 17
by
Arjun
737
views
gate-ds-ai-2024
numerical-answers
limits
engineering-mathematics
0
votes
1
answer
12
GATE DS&AI 2024 | Question: 51
Let $\boldsymbol{u}=\left[\begin{array}{l}1 \\ 2 \\ 3 \\ 4 \\ 5\end{array}\right]$, and let $\sigma_{1}, \sigma_{2}, \sigma_{3}, \sigma_{4}, \sigma_{5}$ ... where $\boldsymbol{u}^{\boldsymbol{T}}$ is the transpose of $\boldsymbol{u}$ ). The value of $\sum_{i=1}^{5} \sigma_{i}$ is
Arjun
asked
in
Others
Feb 17
by
Arjun
881
views
gate-ds-ai-2024
numerical-answers
0
votes
1
answer
13
GATE DS&AI 2024 | Question: 52
Details of ten international cricket games between two teams "Green" and "Blue" are given in Table $\mathrm{C}$. This table consists of matches played on different pitches, across formats along with their winners. The attribute Pitch can take one of two values: ... $O$ & Blue \\ \hline 10 & $S$ & $O$ & Green \\ \hline \end{tabular}
Arjun
asked
in
Others
Feb 17
by
Arjun
737
views
gate-ds-ai-2024
numerical-answers
0
votes
1
answer
14
GATE DS&AI 2024 | Question: 53
Given the two-dimensional dataset consisting of 5 data points from two classes (circles and squares) and assume that the Euclidean distance is used to measure the distance between two points. The minimum odd value of $k$ in $k$-nearest neighbor ... in $k$-nearest neighbor algorithm for which the diamond $(\diamond)$ shaped data point is assigned the label square is
Arjun
asked
in
Others
Feb 17
by
Arjun
935
views
gate-ds-ai-2024
numerical-answers
0
votes
2
answers
15
GATE DS&AI 2024 | Question: 54
Given the following Bayesian Network consisting of four Bernoulli random variables and the associated conditional probability tables: \begin{tabular}{|c|c|} \hline & $P(\cdot)$ \\ \hline$U=0$ & 0.5 \\ \hline$U=1$ & 0.5 \\ \hline \end{tabular} \begin{ ... \\ \hline \end{tabular} The value of $P(U=1, V=1, W=1, Z=1)=$ (rounded off to three decimal places).
Arjun
asked
in
Others
Feb 17
by
Arjun
979
views
gate-ds-ai-2024
numerical-answers
0
votes
1
answer
16
GATE DS&AI 2024 | Question: 55
Two fair coins are tossed independently. $X$ is a random variable that takes a value of 1 if both tosses are heads and 0 otherwise. $Y$ is a random variable that takes a value of 1 if at least one of the tosses is heads and 0 otherwise. The ... the tosses is heads and 0 otherwise. The value of the covariance of $X$ and $Y$ is (rounded off to three decimal places).
Arjun
asked
in
Others
Feb 17
by
Arjun
1.7k
views
gate-ds-ai-2024
numerical-answers
1
vote
2
answers
17
GATE CSE 2024 | Set 2 | Question: 24
Let $\text{P}$ be the partial order defined on the set $\{1,2,3,4\}$ as follows \[ P=\{(x, x) \mid x \in\{1,2,3,4\}\} \cup\{(1,2),(3,2),(3,4)\} \] The number of total orders on $\{1,2,3,4\}$ that contain $\text{P}$ is __________.
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in
Set Theory & Algebra
Feb 16
by
Arjun
1.7k
views
gatecse2024-set2
numerical-answers
set-theory&algebra
partial-order
1
vote
2
answers
18
GATE CSE 2024 | Set 2 | Question: 25
Let $\text{A}$ be an array containing integer values. The distance of $\text{A}$ is defined as the minimum number of elements in $\text{A}$ that must be replaced with another integer so that the resulting array is sorted in non-decreasing order. The distance of the array $[2,5,3,1,4,2,6]$ is ___________.
Arjun
asked
in
Algorithms
Feb 16
by
Arjun
1.8k
views
gatecse2024-set2
numerical-answers
algorithms
sorting
1
vote
1
answer
19
GATE CSE 2024 | Set 2 | Question: 43
Consider a disk with the following specifications: rotation speed of $6000$ RPM, average seek time of $5$ milliseconds, $500$ sectors/track, $512$-byte sectors. A file has content stored in $3000$ sectors located randomly on the disk. Assuming ... total time (in seconds, rounded off to $2$ decimal places) to read the entire file from the disk is ______________.
Arjun
asked
in
Operating System
Feb 16
by
Arjun
1.4k
views
gatecse2024-set2
numerical-answers
operating-system
disk
1
vote
1
answer
20
GATE CSE 2024 | Set 2 | Question: 44
Consider a $\text{TCP}$ connection operating at a point of time with the congestion window of size $12$ $\text{MSS}$ (Maximum Segment Size), when a timeout occurs due to packet loss. Assuming that all the segments transmitted in the next ... Time) are acknowledged correctly, the congestion window size (in $MSS$) during the third $\text{RTT}$ will be __________.
Arjun
asked
in
Computer Networks
Feb 16
by
Arjun
1.4k
views
gatecse2024-set2
numerical-answers
computer-networks
2
votes
1
answer
21
GATE CSE 2024 | Set 2 | Question: 45
Consider an Ethernet segment with a transmission speed of $10^{8} \mathrm{bits} / \mathrm{sec}$ and a maximum segment length of $500$ meters. If the speed of propagation of the signal in the medium is $2 \times 10^{8} \mathrm{~meters} / \mathrm{sec}$, then the minimum frame size (in bits) required for collision detection is ___________.
Arjun
asked
in
Computer Networks
Feb 16
by
Arjun
1.2k
views
gatecse2024-set2
numerical-answers
computer-networks
1
vote
1
answer
22
GATE CSE 2024 | Set 2 | Question: 46
A functional dependency $F: X \rightarrow Y$ is termed as a useful functional dependency if and only if it satisfies all the following three conditions: $\text{X}$ is not the empty set. $\text{Y}$ is not the empty set. Intersection ... set. For a relation $\text{R}$ with $4$ attributes, the total number of possible useful functional dependencies is __________.
Arjun
asked
in
Databases
Feb 16
by
Arjun
1.5k
views
gatecse2024-set2
numerical-answers
databases
2
votes
1
answer
23
GATE CSE 2024 | Set 2 | Question: 47
A processor with $16$ general purpose registers uses a $32$-bit instruction format. The instruction format consists of an opcode field, an addressing mode field, two register operand fields, and a $16$-bit scalar field. If $8$ addressing modes are to be supported, the maximum number of unique opcodes possible for every addressing mode is ___________.
Arjun
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in
CO and Architecture
Feb 16
by
Arjun
1.4k
views
gatecse2024-set2
numerical-answers
co-and-architecture
2
votes
0
answers
24
GATE CSE 2024 | Set 2 | Question: 48
A non-pipelined instruction execution unit operating at $2 \mathrm{GHz}$ takes an average of $6$ cycles to execute an instruction of a program $\text{P}$. The unit is then redesigned to operate on a $5$ ... hazards. The speedup (rounded off to one decimal place) obtained by the pipelined design over the non-pipelined design is ____________.
Arjun
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in
CO and Architecture
Feb 16
by
Arjun
1.4k
views
gatecse2024-set2
numerical-answers
co-and-architecture
pipelining
1
vote
1
answer
25
GATE CSE 2024 | Set 2 | Question: 49
The number of distinct minimum-weight spanning trees of the following graph is
Arjun
asked
in
Algorithms
Feb 16
by
Arjun
1.5k
views
gatecse2024-set2
numerical-answers
algorithms
minimum-spanning-tree
1
vote
2
answers
26
GATE CSE 2024 | Set 2 | Question: 50
The chromatic number of a graph is the minimum number of colours used in a proper colouring of the graph. The chromatic number of the following graph is __________.
Arjun
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in
Graph Theory
Feb 16
by
Arjun
1.6k
views
gatecse2024-set2
graph-theory
numerical-answers
1
vote
2
answers
27
GATE CSE 2024 | Set 2 | Question: 52
Let $L_{1}$ be the language represented by the regular expression $b^{*} a b^{*}\left(a b^{*} a b^{*}\right)^{*}$ and $L_{2}=\left\{w \in(a+b)^{*}|| w \mid \leq 4\right\}$, where $|w|$ denotes the length of string $w$. The number of strings in $L_{2}$ which are also in $L_{1}$ is _________.
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in
Theory of Computation
Feb 16
by
Arjun
1.6k
views
gatecse2024-set2
numerical-answers
theory-of-computation
2
votes
2
answers
28
GATE CSE 2024 | Set 2 | Question: 53
Let $Z_{n}$ be the group of integers $\{0,1,2, \ldots, n-1\}$ with addition modulo $n$ as the group operation. The number of elements in the group $Z_{2} \times Z_{3} \times Z_{4}$ that are their own inverses is ___________.
Arjun
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in
Set Theory & Algebra
Feb 16
by
Arjun
1.7k
views
gatecse2024-set2
numerical-answers
set-theory&algebra
group-theory
4
votes
2
answers
29
GATE CSE 2024 | Set 2 | Question: 54
Consider a $32$-bit system with $4 \mathrm{~KB}$ page size and page table entries of size $4$ bytes each. Assume $1 \mathrm{~KB}=2^{10}$ bytes. The OS uses a $2$-level page table for memory management, with the page table containing ... the maximum number of pages across the two levels of the page table of the process. The value of $\text{X+Y}$ is ___________.
Arjun
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in
Operating System
Feb 16
by
Arjun
2.1k
views
gatecse2024-set2
numerical-answers
operating-system
2
votes
1
answer
30
GATE CSE 2024 | Set 2 | Question: 55
Consider the following augmented grammar, which is to be parsed with a $\text{SLR}$ parser. The set of terminals is $\{a, b, c, d, \#, @\}$ \[ \begin{array}{l} S^{\prime} \rightarrow S \\ S \rightarrow S S|A a| b A c|B c| b ... $\operatorname{GOTO}\left(I_{0}, S\right)$ is __________.
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in
Compiler Design
Feb 16
by
Arjun
2.2k
views
gatecse2024-set2
numerical-answers
compiler-design
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