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91
TIFR CSE 2024 | Part A | Question: 7
Let $S:=\{(a, b) \mid 0 \leq a \leq 1,0 \leq b \leq 1\}$, a unit square, in $\mathbb{R}^{2}$. Let $B:=$ $\left\{(x, y) \mid x^{2}+y^{2} \leq 1\right\}$, a unit disk, in $\mathbb{R}^{2}$. Define the set $S+B$ as follows: \[ S+B:=\{(u, v) \ ... \text { such that } u=a+x, v=b+y\} . \] What is the area of $S+B$ ? $\pi+4$ $\pi+5$ $\pi+3$ $\pi+2$ None of the above.
Let $S:=\{(a, b) \mid 0 \leq a \leq 1,0 \leq b \leq 1\}$, a unit square, in $\mathbb{R}^{2}$. Let $B:=$ $\left\{(x, y) \mid x^{2}+y^{2} \leq 1\right\}$, a unit disk, in $...
admin
87
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admin
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Jan 12
Others
tifr2024
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TIFR CSE 2024 | Part A | Question: 9
Compute $\int_{16}^{\infty} \frac{1}{x} \cdot \frac{1}{\sqrt{\sqrt{x}-1}} d x$. $0$ $\frac{\pi}{3}$ $\frac{\pi}{2}$ $\frac{2 \pi}{3}$ $2 \pi$
Compute $\int_{16}^{\infty} \frac{1}{x} \cdot \frac{1}{\sqrt{\sqrt{x}-1}} d x$.$0$$\frac{\pi}{3}$$\frac{\pi}{2}$$\frac{2 \pi}{3}$$2 \pi$
admin
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admin
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Jan 12
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tifr2024
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93
TIFR CSE 2024 | Part A | Question: 11
Consider the following sequence of polynomials with real coefficients. \[ \begin{aligned} P_{0}(x) & =1 \\ P_{1}(x) & =2 x \\ P_{n+1}(x) & =2 x P_{n}(x)-P_{n-1}(x), \text { for all natural numbers } n \geq 1 . \end{aligned} \] ... }(x), P_{4}(x)\right\} \] in the vector space of polynomials in variable $x$ with real coefficients? $1$ $2$ $3$ $4$ $5$
Consider the following sequence of polynomials with real coefficients.\[\begin{aligned}P_{0}(x) & =1 \\P_{1}(x) & =2 x \\P_{n+1}(x) & =2 x P_{n}(x)-P_{n-1}(x), \text { fo...
admin
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admin
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Jan 12
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tifr2024
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94
TIFR CSE 2024 | Part A | Question: 12
A subset $\text{S}$ of the rational numbers is said to be "nice" if for every infinite sequence of $x_1, x_2, \ldots$ of elements from $\text{S}$, there is always two indices $i<j$ such that $x_i \leq x_j$. Consider the following ... $\text{(i)}$ and $\text{(iii)}$. All three statements are true. None of the three statements is true.
A subset $\text{S}$ of the rational numbers is said to be "nice" if for every infinite sequence of $x_1, x_2, \ldots$ of elements from $\text{S}$, there is always two ind...
admin
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admin
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Jan 12
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tifr2024
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95
TIFR CSE 2024 | Part A | Question: 13
Let $n \geq 100$ be a positive integer. Let $X_{1}, X_{2}, \ldots, X_{n}$ be independent random variables, each taking values in the set $\{0,1\}$ such that $\operatorname{Pr}\left[X_{i}=1\right]=\frac{2}{3}$ for each $1 \leq i \leq n$ ... with respect to $x$. $0$ $n$ $\frac{2 n}{3}$ $\frac{4 n^{2}+2 n}{9}$ $\frac{4 n^{2}-4 n}{9}$
Let $n \geq 100$ be a positive integer. Let $X_{1}, X_{2}, \ldots, X_{n}$ be independent random variables, each taking values in the set $\{0,1\}$ such that $\operatornam...
admin
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Jan 12
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tifr2024
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TIFR CSE 2024 | Part A | Question: 14
Let $\text{A}$ and $\text{B}$ be two $n \times n$ invertible matrices with real entries such that every row in $\text{A}$ sums to $1$ and every row in $\text{B}$ sums to $2$ ... $\text{(iii)}$. Statements $\text{(i)}$ and $\text{(iii)}$ are true but not necessarily statement $\text{(ii)}$.
Let $\text{A}$ and $\text{B}$ be two $n \times n$ invertible matrices with real entries such that every row in $\text{A}$ sums to $1$ and every row in $\text{B}$ sums to ...
admin
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Jan 12
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97
GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 49
What is the output of the following program? int i=1, j = 1; for (;i<=10 ; i ++) { if (i % 3 !=0){j + = 2; continue;} if (j % 3 == 0) break; } printf("%d", i + j); $3$ $5$ $12$ $15$
What is the output of the following program?int i=1, j = 1; for (;i<=10 ; i ++) { if (i % 3 !=0){j + = 2; continue;} if (j % 3 == 0) break; } printf("%d", i + j);$3$ $5$$...
admin
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admin
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Oct 21, 2023
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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 19
The function $f(x)=1+x+x^{2}$ has a Minima at $x=-0.5$ Maxima at $x=-0.5$ Saddle point at at $x=-0.5$ None of the above.
The function $f(x)=1+x+x^{2}$ has aMinima at $x=-0.5$Maxima at $x=-0.5$Saddle point at at $x=-0.5$None of the above.
admin
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admin
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Oct 21, 2023
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TIFR vs GATE
The types of questions asked in TIFR are way too different than GATE and I find the TIFR ones difficult. Can TIFR type of questions come in GATE? Besides How to solve the TIFR type of questions??
The types of questions asked in TIFR are way too different than GATE and I find the TIFR ones difficult. Can TIFR type of questions come in GATE?Besides How to solve the ...
amitarp818
302
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amitarp818
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Sep 21, 2023
GATE
normal
descriptive
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UGCNET CSE December 2022: 25
How many different trees are possible with ' $n$ ' nodes? $\mathrm{n}_{-1}$ $2^{\mathrm{n}}-1$ $2^{\mathrm{n}}$ $2^{\mathrm{n}}-\mathrm{n}$ (Option $1 [39397]) 1$ (Option $2 [39398]) 2$ (Option $3[39399]) 3$ (Option $4 [39400]) 4$ Answer Given by Candidate : $2$
How many different trees are possible with ' $n$ ' nodes?$\mathrm{n}_{-1}$$2^{\mathrm{n}}-1$$2^{\mathrm{n}}$$2^{\mathrm{n}}-\mathrm{n}$(Option $1 [39397]) 1$(Option $2 [3...
admin
219
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admin
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May 20, 2023
Others
ugcnetcse-dec2022
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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 $\Theta(n\operatorname{logn}), \Theta\left(n^{\wedge} 2\right), \Theta\left(n^{\wedge} 2\right)$ ... $\Theta\left(n^{\wedge} 2\right), \Theta\left(n^{\wedge} 2\right), \Theta(n\operatorname{logn})$
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^{\...
admin
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Oct 21, 2023
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gateda-sample-paper-2024
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102
UGCNET CSE December 2022: 22
$\text{COCOMO}$ stands for Consumed cost model Constructive cost model Common control model Composition cost model (Option $1[39385]) 1$ (Option $2 [39386]) 2$ (Option $3[39387]) 3$ (Option $4 [39388]) 4$ Answer Given by Candidate : $2$
$\text{COCOMO}$ stands forConsumed cost modelConstructive cost modelCommon control modelComposition cost model(Option $1[39385]) 1$(Option $2 [39386]) 2$(Option $3[39387]...
admin
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May 20, 2023
Others
ugcnetcse-dec2022
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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 55
Consider the following relational schema: employee (empId, empName, empDept) customer (custId, custName, salesRepId, rating) salesRepId is a foreign key referring to empId of the employee relation. Assume that each ... ; rating. Names of all the employees with all their customers having a 'GOOD' rating.
Consider the following relational schema:employee (empId, empName, empDept) customer (custId, custName, salesRepId, rating)salesRepId is a foreign key referring to empId ...
admin
515
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Oct 21, 2023
Others
gateda-sample-paper-2024
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UGCNET CSE December 2022: 134
Which file formats are used to store music files? $\mathrm{bmp}$ $\text{wav}$ $\operatorname{mp} 3$ $\text{htm}$ $\text{wma}$ Choose the correct answer from the options given below : $\text{A, B}$ and $\text{D}$ only $\text{A, D}$ and $\mathrm{E}$ ... and $\mathrm{E}$ only (Option $1[39833]) 1$ (Option $2 [39834]) 2$ (Option $3[39835]) 3$ (Option $4[39836]) 4$
Which file formats are used to store music files?$\mathrm{bmp}$$\text{wav}$$\operatorname{mp} 3$$\text{htm}$$\text{wma}$Choose the correct answer from the options given b...
admin
205
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May 20, 2023
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ugcnetcse-dec2022
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105
UGCNET CSE December 2022: 135
Match $\text{List I}$ with $\text{List II}$ $\text{List I (Internet Term)}$ $\text{List II (Description)}$ $\text{A}$. Spyware $\text{List I}$. Malicious software installed on a user's hard drive or a web server; the software re-directs the user to a fake website ... $1[39837]) 1$ (Option $2[39838]) 2$ (Option $3[39839]) 3$ (Option $4 [39840]) 4$
Match $\text{List I}$ with $\text{List II}$$\text{List I (Internet Term)}$$\text{List II (Description)}$$\text{A}$. Spyware$\text{List I}$. Malicious software installed ...
admin
126
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admin
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May 20, 2023
Others
ugcnetcse-dec2022
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106
UGCNET CSE December 2022: 132
The computer uses a bootstrap. Which of the following shows the part of a computer of which the bootstrap is an example? application software firmware hard disk drive IP address (Option $1 [39825]) 1$ (Option $2 [39826]) 2$ (Option $3 [39827]) 3$ (Option $4 [39828]) 4$
The computer uses a bootstrap. Which of the following shows the part of a computer of which the bootstrap is an example?application softwarefirmwarehard disk driveIP addr...
admin
125
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admin
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May 20, 2023
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ugcnetcse-dec2022
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107
can we write the same exam more than one time
Lokesh Budela
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Lokesh Budela
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Jan 1
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108
UGCNET CSE December 2022: 133
Given below are two statements: Statement I: One always uses $\text{CD-ROMs}$ to save data. Statement II: A computer has $2048$ MB of $\text{RAM}$. That means computer has $1.2$ GB of $\text{RAM}$. In the light of the above statements, choose the correct answer from ... $1[39829]) 1$ (Option $2[39830]) 2$ (Option $3[39831]) 3$ (Option $4 [39832]) 4$
Given below are two statements:Statement I: One always uses $\text{CD-ROMs}$ to save data.Statement II: A computer has $2048$ MB of $\text{RAM}$. That means computer has ...
admin
94
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admin
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May 20, 2023
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ugcnetcse-dec2022
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109
From where to practice questions for Data Science and AI paper of GATE 2024?
Which resources to follow to practice questions for DS and AI paper of GATE 2024? Which resources to follow? where to find them Questions for Mathematics and questions for AI? A bit of help on that would be much appreciated
Which resources to follow to practice questions for DS and AI paper of GATE 2024?Which resources to follow?where to find themQuestions for Mathematics and questions for A...
rajveer43
207
views
rajveer43
asked
Dec 10, 2023
GATE
gate-preparation
virtual-gate-test-series
cmi2022-datascience
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NTA PhD Entrance Examination CS 2023| Part 2 Question: 6
Question No. 6 / Question ID 974081 Marks: 4.00 Some of the following statements are NOT correct about B+ tree that is used for creating an index of relational database table. $B+$ tree is also called as a height imbalanced tree. Non-leaf nodes have pointers ... given below: 1. A and B Only 2. C and E Only 3. A and D Only 4. C, D and E Only
Question No. 6 / Question ID 974081Marks: 4.00Some of the following statements are NOT correct about B+ tree that is used for creating an index of relational database tab...
admin
183
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admin
asked
Dec 2, 2023
Others
nta-phd-cs-2023
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