Highest voted questions / GATE Overflow for GATE CSE

86 votes

8 answers

81

GATE CSE 2014 Set 2 | Question: 38
Suppose $P, Q, R, S, T$ are sorted sequences having lengths $20, 24, 30, 35, 50$ respectively. They are to be merged into a single sequence by merging together two sequences at a time. The number of comparisons that will be needed in the worst case by the optimal algorithm for doing this is ____.

Suppose $P, Q, R, S, T$ are sorted sequences having lengths $20, 24, 30, 35, 50$ respectively. They are to be merged into a single sequence by merging together two sequen...

go_editor

25.3k views

go_editor asked Sep 28, 2014

86 votes

7 answers

82

GATE CSE 2009 | Question: 47
While opening a $TCP$ connection, the initial sequence number is to be derived using a time-of-day (ToD) clock that keeps running even when the host is down. The low order $32$ bits of the counter of the ToD clock is to be used for the initial sequence numbers ... sequence numbers used for packets of a connection can increase? $0.015$/s $0.064$/s $0.135$/s $0.327$/s

While opening a $TCP$ connection, the initial sequence number is to be derived using a time-of-day (ToD) clock that keeps running even when the host is down. The low orde...

Kathleen

26.1k views

Kathleen asked Sep 22, 2014

86 votes

8 answers

83

GATE CSE 2004 | Question: 79
How many graphs on $n$ labeled vertices exist which have at least $\frac{(n^2 - 3n)}{ 2}$ edges ? $^{\left(\frac{n^2-n}{2}\right)}C_{\left(\frac{n^2-3n} {2}\right)}$ $^{{\large\sum\limits_{k=0}^{\left (\frac{n^2-3n}{2} \right )}}.\left(n^2-n\right)}C_k$ $^{\left(\frac{n^2-n}{2}\right)}C_n$ $^{{\large\sum\limits_{k=0}^n}.\left(\frac{n^2-n}{2}\right)}C_k$

How many graphs on $n$ labeled vertices exist which have at least $\frac{(n^2 - 3n)}{ 2}$ edges ?$^{\left(\frac{n^2-n}{2}\right)}C_{\left(\frac{n^2-3n} {2}\right)}$$^{{\l...

Kathleen

14.7k views

Kathleen asked Sep 18, 2014

86 votes

5 answers

84

GATE CSE 2003 | Question: 67
Let $G =(V,E)$ be an undirected graph with a subgraph $G_1 = (V_1, E_1)$. Weights are assigned to edges of $G$ as follows. $w(e) = \begin{cases} 0 \text{, if } e \in E_1 \\1 \text{, otherwise} \end{cases}$ A single-source shortest path ... edges in the shortest paths from $v_1$ to all vertices of $G$ $G_1$ is connected $V_1$ forms a clique in $G$ $G_1$ is a tree

Let $G =(V,E)$ be an undirected graph with a subgraph $G_1 = (V_1, E_1)$. Weights are assigned to edges of $G$ as follows.$$w(e) = \begin{cases} 0 \text{, if } e \in E_...

Kathleen

20.4k views

Kathleen asked Sep 17, 2014

85 votes

11 answers

85

GATE CSE 2017 Set 1 | Question: 08
Consider the C code fragment given below. typedef struct node { int data; node* next; } node; void join(node* m, node* n) { node* p = n; while(p->next != NULL) { p = p->next; } p->next = m; } Assuming that m and n ... append list m to the end of list n. cause a null pointer dereference for all inputs. append list n to the end of list m for all inputs.

Consider the C code fragment given below.typedef struct node { int data; node* next; } node; void join(node* m, node* n) { node* p = n; while(p->next != NULL) { p = p->ne...

khushtak

26.1k views

khushtak asked Feb 14, 2017

85 votes

18 answers

86

GATE CSE 2016 Set 1 | Question: 39
Let $G$ be a complete undirected graph on $4$ vertices, having $6$ edges with weights being $1, 2, 3, 4, 5,$ and $6$. The maximum possible weight that a minimum weight spanning tree of $G$ can have is __________

Let $G$ be a complete undirected graph on $4$ vertices, having $6$ edges with weights being $1, 2, 3, 4, 5,$ and $6$. The maximum possible weight that a minimum weight s...

Sandeep Singh

36.0k views

Sandeep Singh asked Feb 12, 2016

85 votes

9 answers

87

GATE CSE 2016 Set 1 | Question: 33
Consider a carry look ahead adder for adding two $n$-bit integers, built using gates of fan-in at most two. The time to perform addition using this adder is $\Theta (1)$ $\Theta (\log(n))$ $\Theta (\sqrt{n})$ $\Theta (n)$)

Consider a carry look ahead adder for adding two $n$-bit integers, built using gates of fan-in at most two. The time to perform addition using this adder is$\Theta (1)$$\...

Sandeep Singh

31.3k views

Sandeep Singh asked Feb 12, 2016

85 votes

6 answers

88

GATE IT 2006 | Question: 50
Which one of the choices given below would be printed when the following program is executed? #include <stdio.h> void swap (int *x, int *y) { static int *temp; temp = x; x = y; y = temp; } void printab () { static int i, a = -3, b = -6; i = 0; while (i <= 4) { if ((i++)%2 == 1 ... $a = 12, b = 9$ $a = 3, b = 6$ $a = 3, b = 6$ $a = 6, b = 3$ $a = 15, b = 12$

Which one of the choices given below would be printed when the following program is executed?#include <stdio.h void swap (int *x, int *y) { static int *temp; temp = x; x ...

Ishrat Jahan

26.0k views

Ishrat Jahan asked Oct 31, 2014

85 votes

6 answers

89

GATE CSE 2006 | Question: 67
Consider the relation account (customer, balance) where the customer is a primary key and there are no null values. We would like to rank customers according to decreasing balance. The customer with the largest balance gets rank $1.$ Ties are not broke but ranks are skipped: if ... of the above statements are correct? $2$ and $5$ $1$ and $3$ $1$ and $4$ $3$ and $5$

Consider the relation account (customer, balance) where the customer is a primary key and there are no null values. We would like to rank customers according to decreasin...

Rucha Shelke

21.6k views

Rucha Shelke asked Sep 26, 2014

85 votes

6 answers

90

GATE CSE 1998 | Question: 2.19
Which of the following query transformations (i.e., replacing the l.h.s. expression by the r.h.s expression) is incorrect? R1 and R2 are relations, C1 and C2 are selection conditions and A1 and A2 are attributes of R1. ... $\pi_{A_1} \left(\sigma_{C_1}\left(R_1\right)\right) \to \sigma_{C_1} \left(\pi_{A_1}\left(R_1\right)\right)$

Which of the following query transformations (i.e., replacing the l.h.s. expression by the r.h.s expression) is incorrect? R1 and R2 are relations, C1 and C2 are selectio...

Kathleen

17.5k views

Kathleen asked Sep 25, 2014

84 votes

6 answers

91

GATE CSE 2003 | Question: 79
A processor uses $\text{2-level}$ page tables for virtual to physical address translation. Page tables for both levels are stored in the main memory. Virtual and physical addresses are both $32$ bits wide. The memory is byte addressable. For virtual to physical address translation, ... tables of this process is $\text{8 KB}$ $\text{12 KB}$ $\text{16 KB}$ $\text{20 KB}$

A processor uses $\text{2-level}$ page tables for virtual to physical address translation. Page tables for both levels are stored in the main memory. Virtual and physical...

go_editor

24.3k views

go_editor asked Apr 24, 2016

83 votes

4 answers

92

GATE CSE 2017 Set 1 | Question: 42
In a database system, unique timestamps are assigned to each transaction using Lamport's logical clock. Let $TS(T_{1})$ and $TS(T_{2})$ be the timestamps of transactions $T_{1}$ and $T_{2}$ ... -free. The database system is starvation-free, but not deadlock-free. The database system is neither deadlock-free nor starvation-free.

In a database system, unique timestamps are assigned to each transaction using Lamport's logical clock. Let $TS(T_{1})$ and $TS(T_{2})$ be the timestamps of transactions ...

Arjun

27.4k views

Arjun asked Feb 14, 2017

83 votes

4 answers

93

GATE CSE 2015 Set 1 | Question: 51
Consider the NPDA ... follows: Which one of the following sequences must follow the string $101100$ so that the overall string is accepted by the automaton? $10110$ $10010$ $01010$ $01001$

Consider the NPDA $$ \left \langle Q= \left \{ q_{0}, q_{1}, q_{2} \right \},\Sigma = \left \{ 0, 1 \right \}, \Gamma = \left \{ 0, 1, \perp \right \}, \delta, q_{0}, \p...

makhdoom ghaya

24.2k views

makhdoom ghaya asked Feb 13, 2015

83 votes

13 answers

94

GATE CSE 2013 | Question: 9
What is the maximum number of reduce moves that can be taken by a bottom-up parser for a grammar with no epsilon and unit-production (i.e., of type $A \rightarrow \epsilon$ and $A \rightarrow a$) to parse a string with $n$ tokens? $n/2$ $n-1$ $2n-1$ $2^{n}$

What is the maximum number of reduce moves that can be taken by a bottom-up parser for a grammar with no epsilon and unit-production (i.e., of type $A \rightarrow \epsilo...

Arjun

35.6k views

Arjun asked Sep 23, 2014

83 votes

8 answers

95

GATE CSE 2006 | Question: 29
If $s$ is a string over $(0+1)^*$ then let $n_0(s)$ denote the number of $0$'s in $s$ and $n_1(s)$ the number of $1$'s in $s$. Which one of the following languages is not regular? $L=\left \{ s\in (0+1)^* \mid n_{0}(s) \text{ is a 3-digit prime } \right \}$ ... $L=\left \{ s\in (0+1)^*\mid n_{0}(s) \mod 7=n_{1}(s) \mod 5=0 \right \}$

If $s$ is a string over $(0+1)^*$ then let $n_0(s)$ denote the number of $0$’s in $s$ and $n_1(s)$ the number of $1$’s in $s$. Which one of the following languages i...

Rucha Shelke

20.1k views

Rucha Shelke asked Sep 18, 2014

82 votes

12 answers

96

GATE CSE 2014 Set 1 | Question: 27
Let the size of congestion window of a TCP connection be $32$ KB when a timeout occurs. The round trip time of the connection is $100$ msec and the maximum segment size used is $2$ KB. The time taken (in msec) by the TCP connection to get back to $32$ KB congestion window is _________.

Let the size of congestion window of a TCP connection be $32$ KB when a timeout occurs. The round trip time of the connection is $100$ msec and the maximum segment size u...

go_editor

38.6k views

go_editor asked Sep 26, 2014

81 votes

4 answers

97

GATE CSE 2015 Set 2 | Question: 44
Consider the sequence of machine instruction given below: ... forwarding from the PO stage to the OF stage. The number of clock cycles taken for the execution of the above sequence of instruction is _________.

Consider the sequence of machine instruction given below:$$\begin{array}{ll} \text{MUL} & \text{R5, R0, R1} \\ \text{DIV} & \text{R6, R2, R3} \\ \text{ADD} & \text{R7,...

go_editor

27.0k views

go_editor asked Feb 12, 2015

81 votes

6 answers

98

GATE CSE 2014 Set 2 | Question: 54
SQL allows duplicate tuples in relations, and correspondingly defines the multiplicity of tuples in the result of joins. Which one of the following queries always gives the same answer as the nested query shown below: select * from R where a in (select S.a from S) select R. ... a from S) as S1 where R.a=S1.a select R.* from R,S where R.a=S.a and is unique R

SQL allows duplicate tuples in relations, and correspondingly defines the multiplicity of tuples in the result of joins. Which one of the following queries always gives t...

go_editor

19.8k views

go_editor asked Sep 28, 2014

81 votes

5 answers

99

GATE CSE 2014 Set 2 | Question: 43
In designing a computer's cache system, the cache block (or cache line) size is an important parameter. Which one of the following statements is correct in this context? A smaller block size implies better spatial locality A smaller block ... size implies a larger cache tag and hence lower cache hit time A smaller block size incurs a lower cache miss penalty

In designing a computer's cache system, the cache block (or cache line) size is an important parameter. Which one of the following statements is correct in this context?A...

go_editor

21.3k views

go_editor asked Sep 28, 2014

81 votes

9 answers

100

GATE CSE 2006 | Question: 25
Let $S = \{1, 2, 3,\ldots, m\}, m >3.$ Let $X_1,\ldots,X_n$ be subsets of $S$ each of size $3.$ Define a function $f$ from $S$ to the set of natural numbers as, $f(i)$ is the number of sets $X_j$ that contain the element $i.$ That is $f(i)=\left | \left\{j \mid i\in X_j \right\} \right|$ then $ \sum_{i=1}^{m} f(i)$ is: $3m$ $3n$ $2m+1$ $2n+1$

Let $S = \{1, 2, 3,\ldots, m\}, m >3.$ Let $X_1,\ldots,X_n$ be subsets of $S$ each of size $3.$ Define a function $f$ from $S$ to the set of natural numbers as, $f(i)$ is...

Rucha Shelke

11.3k views

Rucha Shelke asked Sep 18, 2014

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