Questions by Arjun / GATE Overflow for GATE CSE

0 votes

1 answer

61

GATE DS&AI 2024 | Question: 51
Let $\text{u}=\left[\begin{array}{l}1 \\ 2 \\ 3 \\ 4 \\ 5\end{array}\right]$, and let $\sigma_{1}, \sigma_{2}, \sigma_{3}, \sigma_{4}, \sigma_{5}$ be the singular values of the matrix $\text{M}=\text{u} \text{u}^{\text{T}}$ (where $\text{u}^{\text{T}}$ is the transpose of $\text{u}$ ). The value of $\sum_{i=1}^{5} \sigma_{i}$ is $\_\_\_\_\_\_\_\_\_$

Let $\text{u}=\left[\begin{array}{l}1 \\ 2 \\ 3 \\ 4 \\ 5\end{array}\right]$, and let $\sigma_{1}, \sigma_{2}, \sigma_{3}, \sigma_{4}, \sigma_{5}$ be the singular values ...

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asked Feb 16

0 votes

1 answer

62

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: spin-friendly ( ... $S$ $O$ Green $8$ $F$ $T$ Blue $9$ $F$ $O$ Blue $10$ $S$ $O$ Green

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 pitche...

802 views

asked Feb 16

0 votes

1 answer

63

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 algorithm for which the diamond $(\diamond)$ shaped data point is assigned the label square is $\_\_\_\_\_\_\_$.

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 dista...

1.0k views

asked Feb 16

0 votes

2 answers

64

GATE DS&AI 2024 | Question: 54
Given the following Bayesian Network consisting of four Bernoulli random variables and the associated conditional probability tables: \begin{array}{|c|c|} \hline & P(\cdot) \\ \hline U=0 & 0.5 \\ \hline U=1 & 0.5 \\ \hline \end{array} \begin{array}{|c|c|c|} \ ... The value of $P(U=1, V=1, W=1, Z=1)= \_\_\_\_\_\_\_$ (rounded off to three decimal places).

Given the following Bayesian Network consisting of four Bernoulli random variables and the associated conditional probability tables:\begin{array}{|c|c|}\hline & P(\cdot)...

1.0k views

asked Feb 16

0 votes

1 answer

65

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 value of the covariance of $X$ and $Y$ is $\_\_\_\_\_\_\_$ (rounded off to three decimal places).

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 take...

1.7k views

asked Feb 16

2 votes

2 answers

66

GATE CSE 2024 | Set 2 | GA Question: 1
If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words [walk $\rightarrow$ jog $\rightarrow$ sprint] is analogous to [bothered $\rightarrow$ ________$\rightarrow$ daunted]. Which one of the given options is appropriate to fill the blank? phased phrased fazed fused

If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words [walk $\rightarrow$ jog $\rightarrow$ sprint] is analogous to [bo...

5.1k views

asked Feb 16

3 votes

1 answer

67

GATE CSE 2024 | Set 2 | GA Question: 2
Two wizards try to create a spell using all the four elements, water, air, fire, and earth. For this, they decide to mix all these elements in all possible orders. They also decide to work independently. After trying all possible combination ... work. How many attempts does each wizard make before coming to this conclusion, independently? $24$ $48$ $16$ $12$

Two wizards try to create a spell using all the four elements, water, air, fire, and earth. For this, they decide to mix all these elements in all possible orders. ...

3.8k views

asked Feb 16

6 votes

3 answers

68

GATE CSE 2024 | Set 2 | GA Question: 3
In an engineering college of $10,000$ students, $1,500$ like neither their core branches nor other branches. The number of students who like their core branches is $1 / 4^{\text {th }}$ of the number of students who like other branches. The number ... branches is $500$. The number of students who like their core branches is $1,800$ $3,500$ $1,600$ $1,500$

In an engineering college of $10,000$ students, $1,500$ like neither their core branches nor other branches. The number of students who like their core branch...

5.6k views

asked Feb 16

7 votes

5 answers

69

GATE CSE 2024 | Set 2 | GA Question: 4
For positive non-zero real variables $x$ and $y$, if \[ \ln \left(\frac{x+y}{2}\right)=\frac{1}{2}[\ln (x)+\ln (y)] \] then, the value of $\frac{x}{y}+\frac{y}{x}$ is $1$ $1 / 2$ $2$ $4$

For positive non-zero real variables $x$ and $y$, if\[\ln \left(\frac{x+y}{2}\right)=\frac{1}{2}[\ln (x)+\ln (y)]\]then, the value of $\frac{x}{y}+\frac{y}{x}$ is$1$$1 / ...

2.7k views

asked Feb 16

3 votes

2 answers

70

GATE CSE 2024 | Set 2 | GA Question: 5
In the sequence $6,9,14, x, 30,41$, a possible value of $x$ is $25$ $21$ $18$ $20$

In the sequence $6,9,14, x, 30,41$, a possible value of $x$ is$25$$21$$18$$20$

2.3k views

asked Feb 16

4 votes

2 answers

71

GATE CSE 2024 | Set 2 | GA Question: 6
Sequence the following sentences in a coherent passage. $\text{P}$: This fortuitous geological event generated a colossal amount of energy and heat that resulted in the rocks rising to an average height of $4 \mathrm{~km}$ across the contact zone ... Plate collided with the massive Eurasian Plate. $\text{QPSR}$ $\text{QSPR}$ $\text{SPRQ}$ $\text{SRPQ}$

Sequence the following sentences in a coherent passage.$\text{P}$: This fortuitous geological event generated a colossal amount of energy and heat that res...

2.6k views

asked Feb 16

5 votes

5 answers

72

GATE CSE 2024 | Set 2 | GA Question: 7
A person sold two different items at the same price. He made $10 \%$ profit in one item, and $10 \%$ loss in the other item. In selling these two items, the person made a total of $1 \%$ profit $2 \%$ profit $1 \%$ loss $2 \%$ loss

A person sold two different items at the same price. He made $10 \%$ profit in one item, and $10 \%$ loss in the other item. In selling these two items,...

3.0k views

asked Feb 16

6 votes

3 answers

73

GATE CSE 2024 | Set 2 | GA Question: 8
The pie charts depict the shares of various power generation technologies in the total electricity generation of a country for the years $2007$ and $2023$. The renewable sources of electricity generation consist of Hydro, Solar and Wind. Assuming that the total ... sources of electricity generation over this period? $25 \%$ $50 \%$ $77.5 \%$ $62.5 \%$

The pie charts depict the shares of various power generation technologies in the total electricity generation of a country for the years $2007$ and $2023$.The...

2.6k views

asked Feb 16

2 votes

2 answers

74

GATE CSE 2024 | Set 2 | GA Question: 9
A cube is to be cut into $8$ pieces of equal size and shape. Here, each cut should be straight and it should not stop till it reaches the other end of the cube. The minimum number of such cuts required is $3$ $4$ $7$ $8$

A cube is to be cut into $8$ pieces of equal size and shape. Here, each cut should be straight and it should not stop till it reaches the other end of the cub...

3.8k views

asked Feb 16

2 votes

3 answers

75

GATE CSE 2024 | Set 2 | GA Question: 10
In the $4 \times 4$ array shown below, each cell of the first three rows has either a cross $(X)$ or a number. The number in a cell represents the count of the immediate neighboring cells (left, right, top, bottom, diagonals) NOT having a cross ( $X$ ). ... has no crosses $(X)$, the sum of the four numbers to be filled in the last row is $11$ $10$ $12$ $9$

In the $4 \times 4$ array shown below, each cell of the first three rows has either a cross $(X)$ or a number.The number in a cell represents the count of the immediate n...

2.6k views

asked Feb 16

1 votes

1 answer

76

GATE CSE 2024 | Set 2 | Question: 1
Consider a computer with a $4 \mathrm{MHz}$ processor. Its $\text{DMA}$ controller can transfer $8$ bytes in $1$ cycle from a device to main memory through cycle stealing at regular intervals. Which one of the following is the data transfer rate (in bits per ... $\text{DMA}$? $2,56,000$ $3,200$ $25,60,000$ $32,000$

Consider a computer with a $4 \mathrm{MHz}$ processor. Its $\text{DMA}$ controller can transfer $8$ bytes in $1$ cycle from a device to main memory through cycle...

2.3k views

asked Feb 16

7 votes

4 answers

77

GATE CSE 2024 | Set 2 | Question: 2
Let $p$ and $q$ be the following propositions: $p$ : Fail grade can be given. $q$ : Student scores more than $50 \%$ marks. Consider the statement: "Fail grade cannot be given when student scores more than $50 \%$ marks." ... above statement in propositional logic? $q \rightarrow \neg p$ $q \rightarrow p$ $p \rightarrow q$ $\neg p \rightarrow q$

Let $p$ and $q$ be the following propositions:$p$ : Fail grade can be given.$q$ : Student scores more than $50 \%$ marks.Consider the statement: "Fail grade c...

3.3k views

asked Feb 16

4 votes

2 answers

78

GATE CSE 2024 | Set 2 | Question: 3
Consider the following $\text{C}$ program. Assume parameters to a function are evaluated from right to left. #include <stdio.h> int g( int p) { printf("%d", p); return p; } int h(i nt q) { printf("%d", q) ... one of the following options is the CORRECT output of the above $\text{C}$ program? $20101020$ $10202010$ $20102010$ $10201020$

Consider the following $\text{C}$ program. Assume parameters to a function are evaluated from right to left.#include <stdio.h int g( int p) { printf("%d", p); return p; }...

3.6k views

asked Feb 16

0 votes

1 answer

79

GATE CSE 2024 | Set 2 | Question: 4
The format of a single-precision floating-point number as per the $\text{IEEE 754}$ standard is: Sign Exponent Mantissa $(1 \mathrm{bit})$ $(8 \mathrm{bits})$ $(23 \mathrm{bits})$ Choose the largest floating- ... $0$ $11111111$ $11111111111111111111111$ Sign Exponent Mantissa $0$ $01111111$ $00000000000000000000000$

The format of a single-precision floating-point number as per the $\text{IEEE 754}$ standard is:Sign ExponentMantissa$(1 \mathrm{bit})$ $(8 \mathrm{bits})$ $(23 \ma...

2.5k views

asked Feb 16

3 votes

4 answers

80

GATE CSE 2024 | Set 2 | Question: 5
Let $\text{T(n)}$ be the recurrence relation defined as follows: \[ \begin{array}{l} T(0)=1, \\ T(1)=2, \text { and } \\ T(n)=5 T(n-1)-6 T(n-2) \text { for } n \geq 2 \end{array} \] Which one of the following statements is TRUE? $T(n)=\Theta\left(2^{n}\right)$ $T(n)=\Theta\left(n 2^{n}\right)$ $T(n)=\Theta\left(3^{n}\right)$ $T(n)=\Theta\left(n 3^{n}\right)$

Let $\text{T(n)}$ be the recurrence relation defined as follows:\[\begin{array}{l}T(0)=1, \\T(1)=2, \text { and } \\T(n)=5 T(n-1)-6 T(n-2) \text { for } n ...

2.3k views

asked Feb 16

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answers	answers:2
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