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TIFR Mathematics 2024 | Part B | Question: 18
Let $A, B$ be subsets of $\{0, \ldots, 9\}$. It is given that, on choosing elements $a \in A$ and $b \in B$ at random, $a+b$ takes each of the values $0, \ldots, 9$ with equal probability. Then one of $A$ or $B$ is singleton.
Let $A, B$ be subsets of $\{0, \ldots, 9\}$. It is given that, on choosing elements $a \in A$ and $b \in B$ at random, $a+b$ takes each of the values $0, \ldots, 9$ with ...
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83
TIFR Mathematics 2024 | Part B | Question: 19
If $f: \mathbb{R} \rightarrow \mathbb{R}$ is uniformly continuous, then there exists $M>0$ such that for all $x \in \mathbb{R} \backslash[-M, M]$, we have $f(x) < x^{100}$.
If $f: \mathbb{R} \rightarrow \mathbb{R}$ is uniformly continuous, then there exists $M>0$ such that for all $x \in \mathbb{R} \backslash[-M, M]$, we have $f(x) < x^{100}...
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84
TIFR Mathematics 2024 | Part B | Question: 20
If a sequence $\left\{f_{n}\right\}$ of continuous functions from $[0,1]$ to $\mathbb{R}$ converges uniformly on $(0,1)$ to a continuous function $f:[0,1] \rightarrow \mathbb{R}$, then $\left\{f_{n}\right\}$ converges uniformly on $[0,1]$ to $f$.
If a sequence $\left\{f_{n}\right\}$ of continuous functions from $[0,1]$ to $\mathbb{R}$ converges uniformly on $(0,1)$ to a continuous function $f:[0,1] \rightarrow \ma...
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86
OIL IT Senior officer
From where to get syllabus for OIL senior officer IT.
From where to get syllabus for OIL senior officer IT.
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87
UGC NET CSE | June 2008 | Part 2 | Question: 2
The complexity of Kruskal's minimum spanning tree algorithm on a graph with ' $n$ ' nodes and ' $e$ ' edges is : $\mathrm{O}(n)$ $\mathrm{O}(n \log n)$ $\mathrm{O}(e \log n)$ $\mathrm{O}(e)$
The complexity of Kruskal's minimum spanning tree algorithm on a graph with ' $n$ ' nodes and ' $e$ ' edges is :$\mathrm{O}(n)$$\mathrm{O}(n \log n)$$\mathrm{O}(e \log n)...
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88
UGC NET CSE | June 2008 | Part 2 | Question: 6
An example of a tautology is : $x \vee y$ $x \mathrm{v}(\sim y)$ $x \mathrm{v}(\sim x)$ $(x=>y) \wedge(x<=y)$
An example of a tautology is :$x \vee y$$x \mathrm{v}(\sim y)$$x \mathrm{v}(\sim x)$$(x=>y) \wedge(x<=y)$
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3 answers
89
UGC NET CSE | June 2008 | Part 2 | Question: 21
Which of the following data structures is most efficient in terms of both space and time to reverse a string of characters? Linked list Stack Array Tree
Which of the following data structures is most efficient in terms of both space and time to reverse a string of characters?Linked listStackArrayTree
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1 answer
90
UGC NET CSE | June 2008 | Part 2 | Question: 8
The octal equivalent of the hexadecimal number $\mathrm{FF}$ is : $100$ $150$ $377$ $737$
The octal equivalent of the hexadecimal number $\mathrm{FF}$ is :$100$$150$$377$$737$
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91
UGC NET CSE | June 2008 | Part 2 | Question: 17
Which of the following set of keywords constitutes a mapping in $\text{SQL}$? $\text{SELECT, FROM, TABLE}$ $\text{SELECT, FROM, WHERE}$ $\text{CONNECT, TABLE, CREATE}$ $\text{SELECT, TABLE, INSERT}$
Which of the following set of keywords constitutes a mapping in $\text{SQL}$?$\text{SELECT, FROM, TABLE}$$\text{SELECT, FROM, WHERE}$$\text{CONNECT, TABLE, CREATE}$$\text...
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94
UGC NET CSE | June 2008 | Part 2 | Question: 5
In a set of $8$ positive integers, there always exists a pair of numbers having the same remainder when divided by : $7$ $11$ $13$ $15$
In a set of $8$ positive integers, there always exists a pair of numbers having the same remainder when divided by :$7$$11$$13$$15$
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1 answer
95
UGC NET CSE | June 2008 | Part 2 | Question: 24
Files that are related to input/output and are used to model serial $\text{I/O}$ devices such as terminals, printers and networks are called: regular files character special files directories block special files
Files that are related to input/output and are used to model serial $\text{I/O}$ devices such as terminals, printers and networks are called:regular filescharacter specia...
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96
UGC NET CSE | June 2008 | Part 2 | Question: 22
Which of the following can be the sequence of nodes examined in a binary search tree while searching for key $98$? $100, 50, 75, 60, 98$ $100,120,90,95,98$ $200, 70, 100, 95, 98$ $75,150,90,80,98$
Which of the following can be the sequence of nodes examined in a binary search tree while searching for key $98$?$100, 50, 75, 60, 98$$100,120,90,95,98$$200, 70, 100, 95...
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98
UGC NET CSE | June 2008 | Part 2 | Question: 12
Consider the following declaration in $\mathrm{C}$ : char a[]; char * p; Which of the following statement is not a valid statement? $\mathrm{p}=\mathrm{a}$; $\mathrm{p}=\mathrm{a}+2$; $\mathrm{a}=\mathrm{p}$; $\mathrm{p}=\& \mathrm{a}[2]$
Consider the following declaration in $\mathrm{C}$ :char a[]; char * p;Which of the following statement is not a valid statement?$\mathrm{p}=\mathrm{a}$;$\mathrm{p}=\math...
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99
UGC NET CSE | June 2008 | Part 2 | Question: 13
Consider the following $\mathrm{C}$ code : {int a = 5, b=9; float r; r= b /a ;} What is the value of $\text{r}$ ? $1.8$ $1.0$ $2.0$ $0.0$
Consider the following $\mathrm{C}$ code :{int a = 5, b=9; float r; r= b /a ;}What is the value of $\text{r}$ ?$1.8$$1.0$$2.0$$0.0$
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