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41
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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42
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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43
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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44
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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45
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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46
Made Easy Mock Test
Rohit Chakraborty
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Jan 7
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Rohit Chakraborty
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made-easy-test-series
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47
Made Easy Test Series Mock Test
How to calculate the third option?
Rohit Chakraborty
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Jan 7
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Rohit Chakraborty
209
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made-easy-test-series
digital-logic
adder
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48
made-easy
Rohit Chakraborty
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Jan 7
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Rohit Chakraborty
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49
can we write the same exam more than one time
Lokesh Budela
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Jan 1
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50
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
rajveer43
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Dec 10, 2023
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51
How to prep for gate?
deeptigururajb
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Dec 6, 2023
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52
NTA PhD Entrance Examination CS 2023| Part 2 Question: 1
Question No. 1 / Question ID 974051 Marks: 4.00 The number of divisors of 2100 is 1. 42 2. 36 3. 78 4. 72 1 (Chosen Option) 2 3 4
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Dec 2, 2023
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53
NTA PhD Entrance Examination CS 2023| Part 2 Question: 2
Suppose that a disk drive has 5000 cylinders, numbered from 0 to 4999 . The drive is assumed to be currently serving a request at cylinder 143 , provided that the previous request was at cylinder 125 . The queue of pending requests, in FIFO ... satisfy C-SCAN disk-scheduling algorithm? 1. 3363 2. 9813 3. 9769 4. 3319 1 2 (Chosen Option) 3 4
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Dec 2, 2023
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54
NTA PhD Entrance Examination CS 2023| Part 2 Question: 3
Question No. 3 / Question ID 974076 Marks: 4.00 void main() \{ int $\mathrm{i}$; for $(i=0 ; i
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Dec 2, 2023
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55
NTA PhD Entrance Examination CS 2023| Part 2 Question: 4
Question No. 4 / Question ID 974060 Marks: 4.00 A group $\mathrm{G}$ has an order of 84 . The size of the largest possible proper subgroup of $\mathrm{G}$ is 1. 14 2. 12 3. 42 4. 84 1 2 3 (Chosen Option) 4
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Dec 2, 2023
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56
NTA PhD Entrance Examination CS 2023| Part 2 Question: 5
Question No. 5 / Question ID 974062 Marks: 4.00 Assume a page reference string for a process with $m$ frames (initially all empty). The page reference string has length $\mathrm{p}$ with $\mathrm{n}$ distinct page numbers occurring in it. Consider any page- ... $\mathrm{p}-1, \mathrm{n}$ 4. n, p 1 2 3 (Chosen Option) 4
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Dec 2, 2023
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57
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
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Dec 2, 2023
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58
NTA PhD Entrance Examination CS 2023| Part 2 Question: 7
Question No. 7 / Question ID 974077 Marks: 4.00 Match List I with List II \begin{tabular}{|l|l|c|c|} \hline \multicolumn{2}{|c|}{ LIST I } & \multicolumn{2}{c|}{ LIST II } \\ \hline & File & & memory allocation \\ \hline & Detection ... D-IV 3. A-III, B-I, C-II, D-IV 4. A-IV, B-III, C-II, D-I 1 (Chosen Option) 2 3 4
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Dec 2, 2023
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121
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0
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59
NTA PhD Entrance Examination CS 2023| Part 2 Question: 8
Question No. 8 / Question ID 974068 Marks: 4.00 Match List I with List II \begin{tabular}{|l|l|l|l|} \hline \multicolumn{2}{|c|}{ LIST I } & \multicolumn{2}{|c|}{ LIST II } \\ \hline & RAID Level 0 & & \begin{tabular}{l} Refers a disk array ... 2. A-I, B-II, C-III, D-IV 3. A-III, B-I, C-II, D-IV 4. A-IV, B-III, C-II, D-I
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Dec 2, 2023
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0
votes
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60
NTA PhD Entrance Examination CS 2023| Part 2 Question: 9
Question No. 9 / Question ID 974078 Marks: 4.00 Match List I with List II \begin{tabular}{|l|l|c|l|} \hline \multicolumn{2}{|c|}{ LIST I } & \multicolumn{2}{c|}{ LIST II } \\ \hline & Bellman Ford (average case) & & ... III, D-IV 3. A-IV, B-II, C-I, D-III 4. A-IV, B-II, C-III, D-I 1 2 3 (Chosen Option) 4
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Dec 2, 2023
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