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TIFR CSE 2024 | Part B | Question: 2
Let $\text{S}$ be the set of all $4$ -digit numbers created using just the digits $1,2,3,4,5$ such that no two successive digits are the same. If the numbers in $\text{S}$ are arranged in ascending order, what is the $100$ th number in this sequence? $2135$ $2324$ $2315$ $2352$ $2415$
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TIFR CSE 2024 | Part B | Question: 3
For any positive integer $\text{N}$, let $\text{p(N)}$ be the probability that a uniformly random number $a \in\{1, \ldots, N\}$ ... $p(N)=\Theta\left(\frac{1}{\sqrt{N}}\right)$. $p(N)=\Theta\left(\frac{1}{\log N}\right)$.
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TIFR CSE 2024 | Part B | Question: 5
For two languages $\text{A, B}$ over the alphabet $\Sigma$, let the perfect shuffle of $\text{A}$ and $\text{B}$ be the language \begin{Bmatrix} w=a_1 b_1 a_2 b_2 \cdots a_k b_k \text{where} a_1 a_2 \cdots a_k \in \text{A} and b_1 b_2 \cdots b_k \in B.& \\ ... $\text{(ii)}$. Only $\text{(ii) and (iii)}$. None of $\text{(i), (ii), (iii)}$ is true.
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TIFR CSE 2024 | Part B | Question: 6
The four nucleotides in $\text{DNA}$ are called $\text{A, C, G}$, and $\text{T}$. Consider the following languages over the alphabet $\{\mathrm{A}, \mathrm{C}, \mathrm{G}$, and $\mathrm{T}\}$. \[ \begin{array}{l} L_{1}=\left\{(\mathrm{AC})^{n}(\mathrm{GT})^{n} ... $L_{1}$ and $L_{3} \cdot$ Only $L_{1}$ and $L_{2}$. All three of $L_{1}, L_{2}, L_{3}$.
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TIFR CSE 2024 | Part B | Question: 7
Consider the following algorithm that takes as input a positive integer $n$. if (n == 1) { return "Neither prime nor composite." } m=2 while (m < n) { if (m divides n ){ return "Composite." } m=m+1 } return "Prime. ... at most $\left\lceil n^{1 / 9}\right\rceil$ times only if $p, q, r$ are distinct primes or distinct prime powers.
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TIFR CSE 2024 | Part B | Question: 8
In the following pseudocode, assume that for any pair of integers $x \leq y$, the function random ( $\mathrm{x}, \mathrm{y})$ produces an integer uniformly chosen from the set $\{x, x+1, \ldots, y\}$. n=9 for (i=1 to ... equal probability, and does not print any other output. The output is always $987654321$. The output may not be a permutation of $123456789$.
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TIFR CSE 2024 | Part B | Question: 9
Given $m$ vectors $\vec{x}_{1}, \vec{x}_{2}, \ldots, \vec{x}_{m}$ in $\mathbb{R}^{d}$, we construct an undirected graph $G=(V, E)$ as follows. Each vector $\vec{x}_{i}$ is represented by a vertex $v_{i}$. We add an edge between ... size at most $d$ Any clique has size at most $m / 2$ The maximum degree of any vertex in $G$ is at most $d$ None of the above.
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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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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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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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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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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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TIFR CSE 2024 | Part B | Question: 15
Consider the following automata: Let $N$ be the number of $0 / 1$-strings of length exactly $6$ accepted by this automata. Which of the following is true about $\text{N}$? $\text{N} \leq 4$. $4$ $8$ $16$ $32$
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ISRO 2024
Asymmetric encryption is not suitable for Confidentiality Authentication Key Exchange Prevention of Denail of Service
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ISRO 2024
A hybrid bayesian network contains Only continuous variables Only discrete variables Both discrete and discontinuous variables Both continuous and discrete variables
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ISRO 2024
CAPTCHA is used to provide protection from Zero day attack Buffer Overflow Automated scripted attack Man in the middle attack
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ISRO 2024
Which of the following clustering technique is used by K-Means algorithm: Hierarchical Technique Partitional technique Divisive Agglomerative
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python
How to connect python with mongodb??
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IB JIO Grade-2 Tech 2023 part-2: 1
Q.1 Which statement is FALSE regarding Programmable Logic Controller? Ans 1. PLC is a specialized Programmable device which is used to control machines and processes. 2. Use of PLC increases reliability. 3. PLCs are optimized for control tasks ... ID : 6306801082178 Option 3 ID : 6306801082179 Option 4 ID : 6306801082180 Status : Not Answered Chosen Option : --
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IB JIO Grade-2 Tech 2023 part-2: 2
Q.2 Which probability distribution is most widely used to model quantization noise in pulse code modulation? Ans 1. Poisson 2. Bernoulli 3. Uniform 4. Gaussian Question ID : 630680278509 Option 1 ID : 6306801082323 Option 2 ID : 6306801082324 Option 3 ID : 6306801082321 Option 4 ID : 6306801082322 Status : Answered Chosen Option : 1
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IB JIO Grade-2 Tech 2023 part-2: 3
Q.3 What is capacity of memory having 16 address lines of row decoder, 8 address lines for column decoder and 8 data lines? Ans 1. $4 \mathrm{MB}$ 2. $32 \mathrm{MB}$ 3. $16 \mathrm{MB}$ 4. $8 \mathrm{MB}$ Question ... Option 1 ID : 6306801082201 Option 2 ID : 6306801082204 Option 3 ID : 6306801082203 Option 4 ID : 6306801082202 Status : Answered Chosen Option : 2
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IB JIO Grade-2 Tech 2023 part-2: 4
Q.4 Which of the following sorting technique is an example of Divide and Conquer technique? Ans 1. Selection sort 2. Bubble sort 3. Quick sort 4. Insertion sort Question ID : 630680278527 Option 1 ID : 6306801082395 Option 2 ID : 6306801082394 Option 3 ID : 6306801082396 Option 4 ID : 6306801082393 Status : Answered Chosen Option : 3
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IB JIO Grade-2 Tech 2023 part-2: 5
Q.5 Which of the following statement is TRUE related to Alpha Beta pruning algorithm? Ans 1. In Alpha Beta algorithm Alpha has minimum value and Beta has maximum value 2. In Alpha Beta algorithm, Alpha has maximum value and Beta has minimum ... 2 ID : 6306801082397 Option 3 ID : 6306801082400 Option 4 ID : 6306801082399 Status : Not Answered Chosen Option : --
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IB JIO Grade-2 Tech 2023 part-2: 6
Q.6 Resolution of analog to digital converter is given by Ans $\times 1.1-\frac{\text { Voltage Range }}{2^{n-1}}$ X. $\frac{\text { Voltage Range }}{2^{n}}$ ... 630680278447 Option 1 ID : 6306801082148 Option 2 ID : 6306801082146 Option 3 ID : 6306801082145 Option 4 ID : 6306801082147 Status : Answered Chosen Option : 1
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IB JIO Grade-2 Tech 2023 part-2: 7
Q.7 Which of the following is TRUE for PROM memories? Ans 1. It has programable AND gate and programable OR gate. 2. It has fixed AND gate and fixed OR gate. 3. It has programable AND gate and fixed OR gate. 4. It has fixed AND gate and programable OR gate. ... : $\mathbf{6 3 0 6 8 0 1 0 8 2 2 0 5}$ Option 4 ID : 6306801082208 Status : Answered Chosen Option : 3
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IB JIO Grade-2 Tech 2023 part-2: 8
Q.8 Which of the following statement is correct related to branch and bound method? Ans 1. Branch and bound is a method for solving optimization problems by breaking them down into smaller sub-problems and using a bounding function to eliminate ... 2 ID : 6306801082392 Option 3 ID : 6306801082391 Option 4 ID : 6306801082389 Status : Answered Chosen Option : 1
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IB JIO Grade-2 Tech 2023 part-2: 9
Q.9 Which of the following network traffic tool can capture not only passwords, but any type of data passing through a network, like usernames, email addresses, personal information, pictures, videos, or anything else? Ans 1. TCP Dump 2. ... Option 2 ID : 6306801082450 Option 3 ID : 6306801082452 Option 4 ID : 6306801082451 Status : Answered Chosen Option : 1
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IB JIO Grade-2 Tech 2023 part-2: 10
Q.10 Which of the following protocol is used for discovering link layer address or MAC address, associated with a given internet layer address? Ans 1. File Transfer Protocol 2. Hypertext Transfer Protocol 3. Address Resolution Protocol 4. Resource ... 2 ID : 6306801082367 Option 3 ID : 6306801082366 Option 4 ID : 6306801082368 Status : Answered Chosen Option : 3
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IB JIO Grade-2 Tech 2023 part-2: 11
Q.11 In a 4-bit DAC, reference voltage is 5 Volts, then analog voltage corresponding to binary data is 1001 is Ans 1. 2 volts. 2. 5 volts. 3. 3 volts. 4. 4 volts. Question ID : 630680278450 Option 1 ID : 6306801082157 Option 2 ID : 6306801082160 Option 3 ID : 6306801082158 Option 4 ID : 6306801082159 Status : Not Answered Chosen Option : --
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IB JIO Grade-2 Tech 2023 part-2: 12
Q.12 If $2 \mathrm{~K}$ bits/second is bit rate, what is the minimum PCM bandwidth required for successful transmission? Ans 1. $2 \mathrm{KHz}$ 2. $8 \mathrm{KHz}$ 3. $1 \mathrm{KHz}$ 4. $4 \mathrm{KHz}$ Question ID ... ID : 6306801082326 Option 2 ID : 6306801082328 Option 3 ID : 6306801082325 Option 4 ID : 6306801082327 Status : Not Answered Chosen Option : --
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