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151
NTA PhD Entrance Examination CS 2023| PART 1 | Question: 50
If $x^{m} y^{n}=(x+y)^{m+n}$, then $d y / d x$ is equal to $\mathrm{y} / \mathrm{x}$ $\mathrm{x} / \mathrm{y}$ $xy$ $\mathrm{x}+\mathrm{y}$
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Can I get Into DRDO with degree in artificial intelligence and Data science through GATE CSE?
I'm asking this question because I have degree in Data Science and Artificial Intelligence and This year GATE IISC adds new subject Data science and Artificial intelligence(DA) before this ... 9. Information Science & Engg/Technology 10. Computer & Communication Engg 11. Computer Networking
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153
out of 130 students 60 are wearing hats to class 51 are wearing scarves and 30 are wearing both hats and scarves of the 54 students who are wearing sweater, 26 are wearing hats, 21 are wearing scarves and 12 are wearing both hats and scarves. everyone wearing neither a hat nor a scarves is wearing gloves. (a) how many students are wearing gloves? (b) how many students not wearing a sweater are wearing hats but not scarves?
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Oct 21, 2023
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154
GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 2
Given $3$ literals $\text{A, B}$, and $\text{C}$, how many models are there for the sentence $\text{A $\vee$ $\neg$ B $\vee$ C}$ ?
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155
GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 3
Which of the following first-order logic sentence matches closest with the sentence "All students are not equal"? ...
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Oct 21, 2023
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gateda-sample-paper-2024
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156
GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 4
The mean of the observations of the first $50$ observations of a process is $12$. If the $51$ $\text{st}$ observation is $18$, then, the mean of the first $51$ observations of the process is $12$ $12.12$ $12.36$ $18$
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Oct 21, 2023
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157
GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 6
Which among the following may help to reduce overfitting demonstrated by a model Change the loss function. Reduce model complexity. Increase the training data. Increase the number of optimization routine steps. $\text{ii and i}$ $\text{ii and iii}$ $\text{i, ii, and iii}$ $\text{i, ii, iii, and iv}$
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158
GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 8
Given $\mathrm{n}$ indistinguishable particles and $m(>n)$ distinguishable boxes, we place at random each particle in one of the boxes. The probability that in $\mathrm{n}$ ... $\frac{1}{m^{n}}$ $\frac{1}{m}$
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159
GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 9
For two events $\text{A}$ and $\text{B}$, $\text{B}$ $\subset$ $\text{A}$ Which of the following statement is correct? $P(B \mid A) \geq P(B)$ $P(B \mid A) \leq P(B)$ $P(A \mid B)<1$ $P(A \mid B)=0$
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160
GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 10
$\mathrm{X}$ is a uniform distribution random variable with support in $[-2,2] \mathrm{U}[99.5$, $100.5]$. The mean of $\mathrm{X}$ is __________.
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161
GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 11
You are reviewing four papers submitted to a conference on machine learning for medical expert systems. All the four papers validate their superiority on a standard benchmarking cancer dataset, which has only $5 \%$ of positive cancer ... $\text{paper ii and paper iv}$ $\text{paper iii}$
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162
GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 12
Increasing the regularizing coefficient value for a ridge regressor will Increase or maintain model bias. Decrease model bias. Increase or maintain model variance. Decrease model variance $\text{i and iii}$ $\text{i and iv}$ $\text{ii and iii}$ $\text{ii and iv}$
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163
GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 13
A decision tree classifier learned from a fixed training set achieves $100 \%$ accuracy. Which of the following models trained using the same training set will also achieve $100 \%$ accuracy? i) Logistic regressor. ii) A ... Naïve Bayes classifier. $\text{i}$ $\text{i and ii}$ all of the above none of the above
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164
GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 14
Consider two relations $\mathrm{R}(\mathrm{x}, \mathrm{y})$ and $\mathrm{S}(\mathrm{x}, \mathrm{z})$. Relation $\mathrm{R}$ has $100$ records, and relation $\mathrm{S}$ has $200$ records. What ... attributes, $20000$ records $4$ attributes, $20000$ records $3$ attributes, $200$ records $4$ attributes, $200$ records
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Oct 21, 2023
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165
GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 15
Consider two relations $\mathrm{R}(\mathrm{x}, \mathrm{y})$ and $\mathrm{S}(\mathrm{y})$, and perform the following operation. $\text{R(x, y) DIVIDE S(Y)}$ If $\mathrm{X}$ is the relation returns by the above operation, which of the ... $|X| \leq|S|$ $|X| \leq|R|$ AND $|X| \leq|S|$ All of the Above
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Oct 21, 2023
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166
GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 16
Which of the following statements is/are TRUE? Every relation with two attributes is also in $\mathrm{BCNF}$. Every relation in $\mathrm{BCNF}$ is also in $3 \mathrm{NF}$. No relation can be in both $\mathrm{BCNF}$ and $3 \mathrm{NF}$. None of Above
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Oct 21, 2023
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167
GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 18
Two non-zero vectors $\mathbf{x}$ and $\mathbf{y}$ are perpendicular if $\mathbf{x}^{\mathrm{T}} \mathbf{y}=0$ $\mathbf{x}^{\mathrm{T}} \mathbf{y}>0$ $\mathbf{x}^{\mathrm{T}} \mathbf{y}<0$ None of the above.
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168
GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 19
The function $f(x)=1+x+x^{2}$ has a Minima at $x=-0.5$ Maxima at $x=-0.5$ Saddle point at at $x=-0.5$ None of the above.
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169
GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 20
The Pearson's correlation coefficient between $\mathrm{x}$ and $\mathrm{y}$ rounded to the first decimal point for the given data in below table is: $\mathbf{x}$ $\mathbf{y}$ $-6$ $6.4$ $2$ $4.7$ $0.2$ $8$ $7$ $2$ $-4$ $3.4$ $-0.5$ $0.5$ $0.3$ $-0.3$
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Oct 21, 2023
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170
GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 21
The worst-case running times of Insertion sort, Merge sort and Quick sort respectively are $\Theta(n\operatorname{logn}), \Theta\left(n^{\wedge} 2\right), \Theta\left(n^{\wedge} 2\right)$ ... $\Theta\left(n^{\wedge} 2\right), \Theta\left(n^{\wedge} 2\right), \Theta(n\operatorname{logn})$
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Oct 21, 2023
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