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TIFR CSE 2024 | Part B | Question: 10
Arun has a non-empty subset $\text{S}$ of the numbers $\{1,2,3, \ldots, 1000\}$. Bela wants to find any number $\text{x}$ in Arun's set $\text{S}$. To do this, Arun and Bela decide to play a game which proceeds in rounds. In each round, Bela ... rounds will Bela need to find out some $\text{x}$ in Arun's set $\text{S}$? $9$ $10$ $11$ $1023$ $1024$
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182
TIFR CSE 2024 | Part B | Question: 11
Let $\mathbb{C}$ denote the set of complex numbers and let $k$ be a positive integer. Given a non-zero univariate polynomial $f(x)$ with coefficients in $\mathbb{C}$ and an $a \in \mathbb{C}$, we say that $a$ is a zero of $f$ ... larger than $d$ as well. The number of distinct zeroes in $\mathbb{C}$ of $f$ of multiplicity $k$ is equal to $d$.
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183
TIFR CSE 2024 | Part B | Question: 12
In the $n$-queens completion problem, the input is an $n \times n$ chess board with queens on some squares, and the goal is to determine if there is a way to place more queens so that the total number of queens is $n$ and no two queens attack each other (two queens are ... $\text{(iii),(iv) and (v)}$. Only $\text{(i), (iii) and (iv)}$.
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184
TIFR CSE 2024 | Part B | Question: 13
Suppose we are given a graph $\text{G=(V, E)}$ with non-negative edge weights $\left\{w_{e}\right\}_{e \in E}$. Consider the following problems: P1: Finding a minimum spanning tree of $\text{G}$. P2: Finding a maximum spanning tree of $\text{G}$. P3: Finding a ... $\text{P1 but not P2,P3, P4}$. $\text{P1,P2,P3 but not P4}$. $\text{P1, P4 but not P2, P3}$.
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185
TIFR CSE 2024 | Part B | Question: 14
For an undirected graph $G$, let $\bar{G}$ refer to the complement (a graph on the same vertex set as $G$, with $(i, j)$ as an edge in $\bar{G}$ if and only if it is not an edge in $G$ ). Consider the following statements. $G$ has ... (i) is equivalent to (ii) and (iv). (i) is equivalent to (ii) and (v) None of the five statements are equivalent to each other.
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186
What will be the time complexity of recurrence relation T(n)? T(n) = T(n-1) + T(n-2) + n if n >2 , Otherwise -3
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Taaps8116
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3
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187
GO Classes Test Series 2024 | Mock GATE | Test 11 | Question: 13
Given the portion of an ER diagram shown above (with a thickened arrow from $R$ to $A),$ which of the following statements are true? $R$ connects each entity in $A$ to at least one entity in $B$ $R$ connects each entity in $A$ to at ... in $B$ to at most one entity in $A$ only I and II only II and III only I and IV only III and IV
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goclasses2024-mockgate-11
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2
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188
GO Classes Test Series 2024 | Mock GATE | Test 11 | Question: 25
A linear-probing hash table of length $10$ uses the hash function $h(x)=x \bmod 10$ ... that apply. $34,42,23,52,33,46$ $46,34,42,23,52,33$ $42,46,33,23,34,52$ $42,23,34,52,46,33$
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Algorithms
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goclasses2024-mockgate-11
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algorithms
hashing
linear-probing
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4
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189
GO Classes Test Series 2024 | Mock GATE | Test 11 | Question: 30
Let $A$ be a matrix defined as $A=u v^T$, where $u$ and $v$ are column vectors of dimension $3 \times 1$. The resulting matrix $A$ will be of dimension $3 \times 3$. What are the maximum number of nonzero eigenvalues possible for the matrix $A?$
GO Classes
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GO Classes
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goclasses2024-mockgate-11
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4
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190
GO Classes Test Series 2024 | Mock GATE | Test 11 | Question: 45
Consider the scenario where $\text{L}$ is a shared variable which is a pointer to the head of a linked list originally containing three nodes with keys $3, 4,$ and $5.$ Consider the function List_Insert() which is being used by two concurrent threads $\text{T}1$ ... are separated by commas. $6,3,4,5$ $6,2,3,4,5$ $2,6,3,4,5$ $2,3,4,5$
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6
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191
GO Classes Test Series 2024 | Mock GATE | Test 11 | Question: 52
Consider the following binary heap – Suppose the last operation you performed in the binary heap above was inserting the key $x$. What are the possible values of $x?$ $20$ $8$ $13$ $11$
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DS
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GO Classes
507
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goclasses2024-mockgate-11
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data-structures
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2-marks
4
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192
GO Classes Test Series 2024 | Mock GATE | Test 11 | Question: 59
Which of the following statements is/are false? In a cascade-less schedule if a transaction $T_j$ read a data item written by transaction $T_i$ then the commit of $T_i$ has to be before this read operation of $T_j$ A ... $2 \mathrm{PL}$ (could have been produced using the $2 \mathrm{PL}$ locking protocol) is conflict-serializable.
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GO Classes
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193
UPENN | ML | DA Practice
Using the same data as above \( \mathbf{X} = [-3, 5, 4] \) and \( \mathbf{Y} = [-10, 20, 20] \), assuming a ridge penalty \( \lambda = 50 \), what ratio versus the MLE estimate \( \hat{\mathbf{w}}_{\text{MLE}} \) do you think the ridge regression \( L_2 \) estimate \( \hat{\mathbf{w}}_{\text{ridge}} \) will be? (a)] 2 b)] 1 (c)] 0.666 (d)] 0.5
rajveer43
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rajveer43
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artificial-intelligence
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194
Madeeasy 2024 full length test 3
Can anyone please help me solve this question or explain the formula used in the solution part of the same?
VinayBhojwani
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Probability
Jan 12
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VinayBhojwani
154
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195
TIFR CSE 2024 | Part A | Question: 3
There is a $100 \mathrm{~cm}$ long ruler that has 11 ants on positions $0 \mathrm{~cm}, 10 \mathrm{~cm}, 20 \mathrm{~cm}, 30 \mathrm{~cm}$, ..., $100 \mathrm{~cm}$. The ant at the $0 \mathrm{~cm}$ mark ... without knowing the directions of all ants. $100$ seconds. More than $100$ seconds, but cannot be determined without knowing the directions of all ants.
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196
TIFR CSE 2024 | Part A | Question: 6
For each month in the year (i.e., January, February, March,...), let us assume the probability that a person's birthday falls in that particular month is exactly $1 / 12$, and let us assume that this is independent for different persons. What is the smallest value of ... is a pair of them born in the same month is at least $1 / 2$? $3$ $4$ $5$ $6$ $7$
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197
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.
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198
TIFR CSE 2024 | Part A | Question: 9
Compute $\int_{16}^{\infty} \frac{1}{x} \cdot \frac{1}{\sqrt{\sqrt{x}-1}} d x$. $0$ $\frac{\pi}{3}$ $\frac{\pi}{2}$ $\frac{2 \pi}{3}$ $2 \pi$
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Jan 12
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199
TIFR CSE 2024 | Part A | Question: 10
Let $\text{M}$ be a $3 \times 3$ matrix over the real numbers such that $\text{M}^{\text{T}} \text{M}=\mathbf{I}$. Consider the following statements. There exists a non-zero vector $x \in \mathbb{R}^{3}$ such that $M x=\mathbf{0}$. There ... /are true? Only $\text{(i)}$ Only $\text{(ii)}$. Only $\text{(iii)}$. All three statements. None of the three statements.
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200
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? $1$ $2$ $3$ $4$ $5$
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Jan 12
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201
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.
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202
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 $x$. $0$ $n$ $\frac{2 n}{3}$ $\frac{4 n^{2}+2 n}{9}$ $\frac{4 n^{2}-4 n}{9}$
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Jan 12
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203
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 $\text{(ii)}$.
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204
TIFR CSE 2024 | Part A | Question: 15
Suppose Michelle gives Asna and Badri two different numbers from $\mathbb{N}=\{1,2,3, \ldots\}$. It is commonly known to both Asna and Badri that they each know only their own number and that it is different from the other one. The following conversation ensues ... was given $3$, Badri was given $4$. Asna was given $4$, Badri was given $3$. None of the above.
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205
OIL IT Senior officer
From where to get syllabus for OIL senior officer IT.
mk_007
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Study Resources
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mk_007
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psu
syllabus
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206
Linear Transformation of Matrix
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Linear Algebra
Jan 12
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Debargha Mitra Roy
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linear-algebra
matrix
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207
Objects First with Java™: A Practical Introduction Using BlueJ
Write a program in BlueJ Q4. Draw Class Diagram and Object Diagram from the below given Details. public class University { private Student stdob; private Faculty fctob; }
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Programming in C
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Ebrahim
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java
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208
Consider a weighted undirected graph with positive edge weights and let (u, v) be an [2] edge in the graph. It is known that the shortest path from source vertex r to u has weight 53 and shortest path from r to v has weight 65. Which statement is always true?
Malusi
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Malusi
85
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209
GFG CSE Mock 2018 | Sequential Circuits
Consider following counters: Counter-1: Counter-2: Which of the following option is correct? Counter-1 is a three-bit "counter" which counts $0, 1, 2, 4, 5, 7, 0, ... . $ ... $0, 1, 2, 3, 5, 6, 0, ... $.
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rajveer43
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210
GATE 2016 | MATHS | QUESTION-47
Let \( A = \begin{bmatrix} a & b & c \\ b& d & e\\ c& e& f\end{bmatrix} \) be a real matrix with eigenvalues 1, 0, and 3. If the eigenvectors corresponding to 1 and 0 are \(\begin{bmatrix} 1 \\ 1 \\ 1 \end{bmatrix}\) and \(\begin{bmatrix} 1 \\ -1 \\ 0 \end{bmatrix}\) respectively, then the value of \(3f\) is equal to ________________________
rajveer43
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Linear Algebra
Jan 11
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rajveer43
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linear-algebra
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