Questions by Arjun / GATE Overflow for GATE CSE

1 votes

2 answers

1

GATE DS&AI 2024 | GA Question: 1
If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words [sick $\rightarrow$ infirm $\rightarrow$ moribund] is analogous to [silly $\rightarrow \_\_\_\_\_\_\_ \longrightarrow$ daft]. Which one of the given options is appropriate to fill the blank? frown fawn vein vain

If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words [sick $\rightarrow$ infirm $\rightarrow$ moribund] is analogous t...

4.0k views

asked Feb 16

0 votes

4 answers

2

GATE DS&AI 2024 | GA Question: 2
The $15$ parts of the given figure are to be painted such that no two adjacent parts with shared boundaries (excluding corners) have the same color. The minimum number of colors required is $4$ $3$ $5$ $6$

The $15$ parts of the given figure are to be painted such that no two adjacent parts with shared boundaries (excluding corners) have the same color. The...

3.3k views

asked Feb 16

0 votes

4 answers

3

GATE DS&AI 2024 | GA Question: 3
How many $4$-digit positive integers divisible by $3$ can be formed using only the digits $\{1,3,4,6,7\}$, such that no digit appears more than once in a number? $24$ $48$ $72$ $12$

How many $4$-digit positive integers divisible by $3$ can be formed using only the digits $\{1,3,4,6,7\}$, such that no digit appears more than once in a number?$24$$48$$...

2.0k views

asked Feb 16

3 votes

3 answers

4

GATE DS&AI 2024 | GA Question: 4
The sum of the following infinite series is \[ 2+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{8}+\frac{1}{9}+\frac{1}{16}+\frac{1}{27}+\cdots \] $11 / 3$ $7 / 2$ $13 / 4$ $9 / 2$

The sum of the following infinite series is\[2+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{8}+\frac{1}{9}+\frac{1}{16}+\frac{1}{27}+\cdots\]$11 / 3$$7 ...

1.5k views

asked Feb 16

1 votes

4 answers

5

GATE DS&AI 2024 | GA Question: 5
In an election, the share of valid votes received by the four candidates $\text{A, B, C}$, and $\mathrm{D}$ is represented by the pie chart shown. The total number of votes cast in the election were $1,15,000$, out of which $5,000$ were invalid ... of valid votes received by the candidates $\mathrm{B}$ and $\mathrm{C}$ is $45,000$ $49,500$ $51,750$ $54,000$

In an election, the share of valid votes received by the four candidates $\text{A, B, C}$, and $\mathrm{D}$ is represented by the pie chart shown. The t...

1.6k views

asked Feb 16

1 votes

2 answers

6

GATE DS&AI 2024 | GA Question: 6
Thousands of years ago, some people began dairy farming. This coincided with a number of mutations in a particular gene that resulted in these people developing the ability to digest dairy milk. Based on the given passage, which of ... Digestion of dairy milk is essential for human beings. In human beings, digestion of dairy milk resulted from a mutated gene.

Thousands of years ago, some people began dairy farming. This coincided with a number of mutations in a particular gene that resulted in these people de...

1.5k views

asked Feb 16

0 votes

4 answers

7

GATE DS&AI 2024 | GA Question: 7
The probability of a boy or a girl being born is $1 / 2$. For a family having only three children, what is the probability of having two girls and one boy? $3 / 8$ $1 / 8$ $1 / 4$ $1 / 2$

The probability of a boy or a girl being born is $1 / 2$. For a family having only three children, what is the probability of having two girls and one boy?$3 / 8$$1 / 8$$...

2.4k views

asked Feb 16

0 votes

2 answers

8

GATE DS&AI 2024 | GA Question: 8
Person $1$ and Person $2$ invest in three mutual funds $\text{A, B}$, and $\text{C}$. The amounts they invest in each of these mutual funds are given in the table. \begin{array}{|c|c|c|c|} \hline & \text{Mutual fund A} & \text{Mutual fund B} ... $\mathrm{A}$? $7.5 \%$ $10 \%$ $15 \%$ $20 \%$

Person $1$ and Person $2$ invest in three mutual funds $\text{A, B}$, and $\text{C}$. The amounts they invest in each of these mutual funds are given in th...

1.3k views

asked Feb 16

0 votes

1 answer

9

GATE DS&AI 2024 | GA Question: 9
Three different views of a dice are shown in the figure below. The piece of paper that can be folded to make this dice is

Three different views of a dice are shown in the figure below.The piece of paper that can be folded to make this dice is

1.3k views

asked Feb 16

0 votes

3 answers

10

GATE DS&AI 2024 | GA Question: 10
Visualize two identical right circular cones such that one is inverted over the other and they share a common circular base. If a cutting plane passes through the vertices of the assembled cones, what shape does the outer boundary of the resulting cross-section make? A rhombus A triangle An ellipse A hexagon

Visualize two identical right circular cones such that one is inverted over the other and they share a common circular base. If a cutting plane passes thro...

2.1k views

asked Feb 16

1 votes

1 answer

11

GATE DS&AI 2024 | Question: 1
Consider the following statements: The mean and variance of a Poisson random variable are equal. For a standard normal random variable, the mean is zero and the variance is one. Which ONE of the following options is correct? Both $\text{(i)}$ and $\text{(ii)}$ are true ... $\text{(i)}$ is false Both $\text{(i)}$ and $\text{(ii)}$ are false

Consider the following statements:The mean and variance of a Poisson random variable are equal.For a standard normal random variable, the mean is zero and the...

1.3k views

asked Feb 16

0 votes

1 answer

12

GATE DS&AI 2024 | Question: 2
Three fair coins are tossed independently. $T$ is the event that two or more tosses result in heads. $S$ is the event that two or more tosses result in tails. What is the probability of the event $T \cap S$? $0$ $0.5$ $0.25$ $1$

Three fair coins are tossed independently. $T$ is the event that two or more tosses result in heads. $S$ is the event that two or more tosses result in tai...

979 views

asked Feb 16

1 votes

1 answer

13

GATE DS&AI 2024 | Question: 3
Consider the matrix $\boldsymbol{M}=\left[\begin{array}{cc}2 & -1 \\ 3 & 1\end{array}\right]$. Which ONE of the following statements is TRUE? The eigenvalues of $\boldsymbol{M}$ are non-negative and real. The eigenvalues of ... zero. One eigenvalue of $\boldsymbol{M}$ is non-negative and real, and another eigenvalue of $\boldsymbol{M}$ is negative and real.

Consider the matrix $\boldsymbol{M}=\left[\begin{array}{cc}2 & -1 \\ 3 & 1\end{array}\right]$.Which ONE of the following statements is TRUE?The eigenvalues of...

940 views

asked Feb 16

0 votes

1 answer

14

GATE DS&AI 2024 | Question: 4
Consider performing depth-first search (DFS) on an undirected and unweighted graph $G$ starting at vertex $s$. For any vertex $u$ in $G, d[u]$ is the length of the shortest path from $s$ to $u$. Let $(u, v)$ be an edge in $G$ such that $d[u]<d[v]$ ... from $u$ to $v$ during the above DFS, then $(u, v)$ becomes a $\_\_\_\_\_\_\_\_$ edge. tree cross back gray

Consider performing depth-first search (DFS) on an undirected and unweighted graph $G$ starting at vertex $s$. For any vertex $u$ in $G, d[u]$ is the length o...

823 views

asked Feb 16

0 votes

1 answer

15

GATE DS&AI 2024 | Question: 5
For any twice differentiable function $f: \mathbb{R} \rightarrow \mathbb{R}$, if at some $x^{*} \in \mathbb{R}, f^{\prime}\left(x^{*}\right)=0$ and $f^{\prime \prime}\left(x^{*}\right)>0$, then the function $f$ ... $x=x^{*}$. Note: $\mathbb{R}$ denotes the set of real numbers. local minimum global minimum local maximum global maximum

For any twice differentiable function $f: \mathbb{R} \rightarrow \mathbb{R}$, if at some $x^{*} \in \mathbb{R}, f^{\prime}\left(x^{*}\right)=0$ and $f^{\prime \prime}\lef...

863 views

asked Feb 16

0 votes

2 answers

16

GATE DS&AI 2024 | Question: 6
Match the items in Column $1$ with the items in Column $2$ in the following table: \begin{array}{|ll|ll|} \hline & \text{Column 1} & & \text{Column 2} \\ \hline & & & \\ \text{(p)} & \text{First In First Out} & \text{ ... $(\mathrm{p})-(\mathrm{i}),(\mathrm{q})-(\mathrm{iii}),(\mathrm{r})-(\mathrm{ii})$

Match the items in Column $1$ with the items in Column $2$ in the following table:\begin{array}{|ll|ll|}\hline & \text{Column 1} & & \text{Column 2} \\\...

800 views

asked Feb 16

0 votes

1 answer

17

GATE DS&AI 2024 | Question: 7
Consider the dataset with six datapoints: $\left\{\left(\text{x}_{1}, \text{y}_{1}\right),\left(\text{x}_{2}, \text{y}_{2}\right), \ldots,\left(\text{x}_{6}, \text{y}_{6}\right)\right\}$ ... $\left\{x_{4}, x_{5}\right\}$ $\left\{x_{1}, x_{2}, x_{3}, x_{4}\right\}$

Consider the dataset with six datapoints: $\left\{\left(\text{x}_{1}, \text{y}_{1}\right),\left(\text{x}_{2}, \text{y}_{2}\right), \ldots,\left(\text{x}...

679 views

asked Feb 16

0 votes

1 answer

18

GATE DS&AI 2024 | Question: 8
Match the items in Column $1$ with the items in Column $2$ in the following table: \begin{array}{|l|l|} \hline \text{Column 1} & \text{Column 2} \\ \hline \text{(p) Principal Component Analysis} & \text{(i) Discriminative Model} \\ \text{(q) Naïve Bayes ... $(\mathrm{p})-(\mathrm{iii}),(\mathrm{q})-(\mathrm{ii}),(\mathrm{r})-(\mathrm{i})$

Match the items in Column $1$ with the items in Column $2$ in the following table:\begin{array}{|l|l|}\hline \text{Column 1} & \text{Column 2} \\\hline \t...

1.1k views

asked Feb 16

0 votes

2 answers

19

GATE DS&AI 2024 | Question: 9
Euclidean distance based $k$-means clustering algorithm was run on a dataset of $100$ points with $k=3$. If the points $\left[\begin{array}{l}1 \\ 1\end{array}\right]$ and $\left[\begin{array}{c}-1 \\ 1\end{array}\right]$ ... $\left[\begin{array}{l}2 \\ 0\end{array}\right]$ $\left[\begin{array}{l}0 \\ 1\end{array}\right]$

Euclidean distance based $k$-means clustering algorithm was run on a dataset of $100$ points with $k=3$. If the points $\left[\begin{array}{l}1 \\ 1\end...

799 views

asked Feb 16

0 votes

1 answer

20

GATE DS&AI 2024 | Question: 10
Given a dataset with $K$ binary-valued attributes (where $K>2$ ) for a two-class classification task, the number of parameters to be estimated for learning a naïve Bayes classifier is $2^{K}+1$ $2 K+1$ $2^{K+1}+1$ $K^{2}+1$

Given a dataset with $K$ binary-valued attributes (where $K>2$ ) for a two-class classification task, the number of parameters to be estimated for learn...

874 views

asked Feb 16

tags	tag:apple
author	user:martin
title	title:apple
content	content:apple
exclude	-tag:apple
force match	+apple
views	views:100
score	score:10
answers	answers:2
is accepted	isaccepted:true
is closed	isclosed:true