Recent questions tagged gatecse-2021-set2 / GATE Overflow for GATE CSE

20 votes

1 answer

31

GATE CSE 2021 Set 2 | Question: 21
A data file consisting of $1,50,000$ student-records is stored on a hard disk with block size of $4096$ bytes. The data file is sorted on the primary key $\textrm{RollNo}$. The size of a record pointer for this disk is $7$ bytes. ... that the records of data file and index file are not split across disk blocks. The number of blocks in the index file is ________

A data file consisting of $1,50,000$ student-records is stored on a hard disk with block size of $4096$ bytes. The data file is sorted on the primary key $\textrm{RollNo}...

Arjun

9.3k views

Arjun asked Feb 18, 2021

14 votes

1 answer

32

GATE CSE 2021 Set 2 | Question: 22
For a given biased coin, the probability that the outcome of a toss is a head is $0.4$. This coin is tossed $1,000$ times. Let $X$ denote the random variable whose value is the number of times that head appeared in these $1,000$ tosses. The standard deviation of $X$ (rounded to $2$ decimal place) is _________

For a given biased coin, the probability that the outcome of a toss is a head is $0.4$. This coin is tossed $1,000$ times. Let $X$ denote the random variable whose value ...

Arjun

6.2k views

Arjun asked Feb 18, 2021

11 votes

4 answers

33

GATE CSE 2021 Set 2 | Question: 23
Consider the following $\text{ANSI C}$ function: int SomeFunction (int x, int y) { if ((x==1) || (y==1)) return 1; if (x==y) return x; if (x > y) return SomeFunction(x-y, y); if (y > x) return SomeFunction (x, y-x); } The value returned by $\textrm{SomeFunction(15, 255)}$ is __________

Consider the following $\text{ANSI C}$ function:int SomeFunction (int x, int y) { if ((x==1) || (y==1)) return 1; if (x==y) return x; if (x y) return SomeFunction(x-y, y...

Arjun

5.1k views

Arjun asked Feb 18, 2021

48 votes

14 answers

34

GATE CSE 2021 Set 2 | Question: 24
Suppose that $P$ is a $4 \times 5$ matrix such that every solution of the equation $\text{Px=0}$ is a scalar multiple of $\begin{bmatrix} 2 & 5 & 4 &3 & 1 \end{bmatrix}^T$. The rank of $P$ is __________

Suppose that $P$ is a $4 \times 5$ matrix such that every solution of the equation $\text{Px=0}$ is a scalar multiple of $\begin{bmatrix} 2 & 5 & 4 &3 & 1 \end{bmatrix}^T...

Arjun

18.9k views

Arjun asked Feb 18, 2021

16 votes

3 answers

35

GATE CSE 2021 Set 2 | Question: 25
Suppose that $f: \mathbb{R} \rightarrow \mathbb{R}$ is a continuous function on the interval $[-3, 3]$ and a differentiable function in the interval $(-3,3)$ such that for every $x$ in the interval, $f’(x) \leq 2$. If $f(-3)=7$, then $f(3)$ is at most __________

Suppose that $f: \mathbb{R} \rightarrow \mathbb{R}$ is a continuous function on the interval $[-3, 3]$ and a differentiable function in the interval $(-3,3)$ such that fo...

Arjun

6.3k views

Arjun asked Feb 18, 2021

13 votes

2 answers

36

GATE CSE 2021 Set 2 | Question: 26
Consider the string $\textrm{abbccddeee}$. Each letter in the string must be assigned a binary code satisfying the following properties: For any two letters, the code assigned to one letter must not be a prefix of the code assigned to the other letter. ... which satisfy the above two properties, what is the minimum length of the encoded string? $21$ $23$ $25$ $30$

Consider the string $\textrm{abbccddeee}$. Each letter in the string must be assigned a binary code satisfying the following properties:For any two letters, the code assi...

Arjun

9.6k views

Arjun asked Feb 18, 2021

18 votes

2 answers

37

GATE CSE 2021 Set 2 | Question: 27
Assume a two-level inclusive cache hierarchy, $L1$ and $L2$, where $L2$ is the larger of the two. Consider the following statements. $S_1$: Read misses in a write through $L1$ cache do not result in writebacks of dirty lines to the $L2$ $S_2$: Write ... false $S_1$ is false and $S_2$ is true $S_1$ is true and $S_2$ is true $S_1$ is false and $S_2$ is false

Assume a two-level inclusive cache hierarchy, $L1$ and $L2$, where $L2$ is the larger of the two. Consider the following statements.$S_1$: Read misses i...

Arjun

8.2k views

Arjun asked Feb 18, 2021

23 votes

3 answers

38

GATE CSE 2021 Set 2 | Question: 28
Suppose we want to design a synchronous circuit that processes a string of $0$'s and $1$'s. Given a string, it produces another string by replacing the first $1$ in any subsequence of consecutive $1$'s by a $0$ ... $\begin{array}{l} t=s+b \\ y=s \overline{b} \end{array}$

Suppose we want to design a synchronous circuit that processes a string of $0$’s and $1$’s. Given a string, it produces another string by replacing the first $1$ in a...

Arjun

8.7k views

Arjun asked Feb 18, 2021

27 votes

4 answers

39

GATE CSE 2021 Set 2 | Question: 29
In an examination, a student can choose the order in which two questions ($\textsf{QuesA}$ and $\textsf{QuesB}$) must be attempted. If the first question is answered wrong, the student gets zero marks. If the first question is answered correctly and the ... $22$. First $\textsf{QuesA}$ and then $\textsf{QuesB}$. Expected marks $16$.

In an examination, a student can choose the order in which two questions ($\textsf{QuesA}$ and $\textsf{QuesB}$) must be attempted.If the first question is answered wrong...

Arjun

7.6k views

Arjun asked Feb 18, 2021

19 votes

2 answers

40

GATE CSE 2021 Set 2 | Question: 30
Consider the following $\text{ANSI C}$ code segment: z=x + 3 + y->f1 + y->f2; for (i = 0; i < 200; i = i + 2) { if (z > i) { p = p + x + 3; q = q + y->f1; } else { p = p + y->f2; q = q + x + 3; } ... $\textsf{y ->f2}$) in the optimized code, respectively, are: $403$ and $102$ $203$ and $2$ $303$ and $102$ $303$ and $2$

Consider the following $\text{ANSI C}$ code segment:z=x + 3 + y->f1 + y->f2; for (i = 0; i < 200; i = i + 2) { if (z i) { p = p + x + 3; q = q + y->f1;...

Arjun

9.8k views

Arjun asked Feb 18, 2021

16 votes

2 answers

41

GATE CSE 2021 Set 2 | Question: 31
The relation scheme given below is used to store information about the employees of a company, where $\textsf{empId}$ is the key and $\textsf{deptId}$ indicates the department to which the employee is assigned. Each employee ... average salary of employees in the department employees in the company female employees in the department female employees in the company

The relation scheme given below is used to store information about the employees of a company, where $\textsf{empId}$ is the key and $\textsf{deptId}$ indicates the depar...

Arjun

6.2k views

Arjun asked Feb 18, 2021

13 votes

2 answers

42

GATE CSE 2021 Set 2 | Question: 32
Let $S$ be the following schedule of operations of three transactions $T_1$, $T_2$ and $T_3$ in a relational database system: $R_2(Y), R_1(X), R_3(Z), R_1(Y)W_1(X), R_2(Z), W_2(Y), R_3(X), W_3(Z)$ Consider the statements $P$ and $Q$ below: $P$ ... Both $P$ and $Q$ are true $P$ is true and $Q$ is false $P$ is false and $Q$ is true Both $P$ and $Q$ are false

Let $S$ be the following schedule of operations of three transactions $T_1$, $T_2$ and $T_3$ in a relational database system:$$R_2(Y), R_1(X), R_3(Z), R_1(...

Arjun

7.2k views

Arjun asked Feb 18, 2021

36 votes

4 answers

43

GATE CSE 2021 Set 2 | Question: 33
A bag has $r$ red balls and $b$ black balls. All balls are identical except for their colours. In a trial, a ball is randomly drawn from the bag, its colour is noted and the ball is placed back into the bag along with another ball of the same colour. Note that the number of ...

A bag has $r$ red balls and $b$ black balls. All balls are identical except for their colours. In a trial, a ball is randomly drawn from the bag, its colour is noted and ...

Arjun

11.0k views

Arjun asked Feb 18, 2021

9 votes

2 answers

44

GATE CSE 2021 Set 2 | Question: 34
Consider the cyclic redundancy check $\text{(CRC)}$ based error detecting scheme having the generator polynomial $X^3+X+1$. Suppose the message $m_4m_3m_2m_1m_0=11000$ is to be transmitted. Check bits $c_2c_1c_0$ are appended at the end of the ... is denoted by $m_4m_3m_2m_1m_0c_2c_1c_0$. The value of the checkbit sequence $c_2c_1c_0$ is $101$ $110$ $100$ $111$

Consider the cyclic redundancy check $\text{(CRC)}$ based error detecting scheme having the generator polynomial $X^3+X+1$. Suppose the message $m_4m_3m_2m_1m_0=11000$ is...

Arjun

6.4k views

Arjun asked Feb 18, 2021

17 votes

2 answers

45

GATE CSE 2021 Set 2 | Question: 35
Consider the following $\text{ANSI C}$ program: #include <stdio.h> #include <stdlib.h> struct Node{ int value; struct Node *next;}; int main( ) { struct Node *boxE, *head, *boxN; int index=0; boxE=head= (struct ... which will be reported as an error by the compiler It dereferences an uninitialized pointer that may result in a run-time error

Consider the following $\text{ANSI C}$ program:#include <stdio.h #include <stdlib.h struct Node{ int value; struct Node *next;}; int main( ) { struct Node *boxE, *head, *...

Arjun

9.7k views

Arjun asked Feb 18, 2021

32 votes

1 answer

46

GATE CSE 2021 Set 2 | Question: 36
Consider the following two statements about regular languages: $S_1$: Every infinite regular language contains an undecidable language as a subset. $S_2$: Every finite language is regular. Which one of the following choices is correct? Only $S_1$ is true Only $S_2$ is true Both $S_1$ and $S_2$ are true Neither $S_1$ nor $S_2$ is true

Consider the following two statements about regular languages:$S_1$: Every infinite regular language contains an undecidable language as a subset.$S_2$:...

Arjun

12.1k views

Arjun asked Feb 18, 2021

21 votes

1 answer

47

GATE CSE 2021 Set 2 | Question: 37
For two $n$-dimensional real vectors $P$ and $Q$, the operation $s(P,Q)$ is defined as follows: $s(P,Q) = \displaystyle \sum_{i=1}^n (P[i] \cdot Q[i])$ Let $\mathcal{L}$ be a set of $10$-dimensional non-zero real vectors such that for every pair ... $s(P,Q)=0$. What is the maximum cardinality possible for the set $\mathcal{L}$? $9$ $10$ $11$ $100$

For two $n$-dimensional real vectors $P$ and $Q$, the operation $s(P,Q)$ is defined as follows:$$s(P,Q) = \displaystyle \sum_{i=1}^n (P[i] \cdot Q[i])$$Let $\mathcal{L}$ ...

Arjun

7.2k views

Arjun asked Feb 18, 2021

12 votes

4 answers

48

GATE CSE 2021 Set 2 | Question: 38
For a statement $S$ in a program, in the context of liveness analysis, the following sets are defined: $\text{USE}(S)$ : the set of variables used in $S$ $\text{IN}(S)$ : the set of variables that are live at the entry of $S$ $\text{OUT}(S)$ : the set of variables ... S_2$) }\cup \text{ OUT ($S_2$)}$ $\text{OUT ($S_1$)} = \text{USE ($S_1$)} \cup \text{IN ($S_2$)}$

For a statement $S$ in a program, in the context of liveness analysis, the following sets are defined:$\text{USE}(S)$ : the set of variables used in $S$$\text{IN}(S)$ : t...

Arjun

6.8k views

Arjun asked Feb 18, 2021

19 votes

3 answers

49

GATE CSE 2021 Set 2 | Question: 39
For constants $a \geq 1$ and $b>1$, consider the following recurrence defined on the non-negative integers: $T(n) = a \cdot T \left(\dfrac{n}{b} \right) + f(n)$ Which one of the following options is correct about the recurrence $T(n)$? If $f(n)$ is $n \log_2(n)$, ... $f(n)$ is $\Theta(n^{\log_b(a)})$, then $T(n)$ is $\Theta(n^{\log_b(a)})$

For constants $a \geq 1$ and $b>1$, consider the following recurrence defined on the non-negative integers:$$T(n) = a \cdot T \left(\dfrac{n}{b} \right) + f(n)$$ Which on...

Arjun

8.2k views

Arjun asked Feb 18, 2021

18 votes

3 answers

50

GATE CSE 2021 Set 2 | Question: 40
Suppose the following functional dependencies hold on a relation $U$ with attributes $P,Q,R,S$, and $T$: $P \rightarrow QR$ $RS \rightarrow T$ Which of the following functional dependencies can be inferred from the above functional dependencies? $PS \rightarrow T$ $R \rightarrow T$ $P \rightarrow R$ $PS \rightarrow Q$

Suppose the following functional dependencies hold on a relation $U$ with attributes $P,Q,R,S$, and $T$:$P \rightarrow QR$$RS \rightarrow T$Which of the following functio...

Arjun

7.4k views

Arjun asked Feb 18, 2021

27 votes

2 answers

51

GATE CSE 2021 Set 2 | Question: 41
For a string $w$, we define $w^R$ to be the reverse of $w$. For example, if $w=01101$ then $w^R=10110$. Which of the following languages is/are context-free? $\{ wxw^Rx^R \mid w,x \in \{0,1\} ^* \}$ $\{ ww^Rxx^R \mid w,x \in \{0,1\} ^* \}$ $\{ wxw^R \mid w,x \in \{0,1\} ^* \}$ $\{ wxx^Rw^R \mid w,x \in \{0,1\} ^* \}$

For a string $w$, we define $w^R$ to be the reverse of $w$. For example, if $w=01101$ then $w^R=10110$.Which of the following languages is/are context-free?$\{ wxw^Rx^R \...

Arjun

7.3k views

Arjun asked Feb 18, 2021

25 votes

4 answers

52

GATE CSE 2021 Set 2 | Question: 42
Consider the following multi-threaded code segment (in a mix of C and pseudo-code), invoked by two processes $P_1$ and $P_2$, and each of the processes spawns two threads $T_1$ and $T_2$: int x = 0; // global Lock L1; // global main () { create a ... the value of $y$ as $2.$ Both $T_1$ and $T_2$, in both the processes, will print the value of $y$ as $1.$

Consider the following multi-threaded code segment (in a mix of C and pseudo-code), invoked by two processes $P_1$ and $P_2$, and each of the processes ...

Arjun

10.4k views

Arjun asked Feb 18, 2021

35 votes

2 answers

53

GATE CSE 2021 Set 2 | Question: 43
Consider a computer system with multiple shared resource types, with one instance per resource type. Each instance can be owned by only one process at a time. Owning and freeing of resources are done by holding a global lock $(L)$. ... not occur The scheme may lead to live-lock The scheme may lead to starvation The scheme violates the mutual exclusion property

Consider a computer system with multiple shared resource types, with one instance per resource type. Each instance can be owned by only one process at a time. Owning and ...

Arjun

9.9k views

Arjun asked Feb 18, 2021

29 votes

6 answers

54

GATE CSE 2021 Set 2 | Question: 44
If the numerical value of a $2$-byte unsigned integer on a little endian computer is $255$ more than that on a big endian computer, which of the following choices represent(s) the unsigned integer on a little endian computer? $0\text{x}6665$ $0\text{x} 0001$ $0\text{x} 4243$ $0\text{x} 0100$

If the numerical value of a $2$-byte unsigned integer on a little endian computer is $255$ more than that on a big endian computer, which of the following choices represe...

Arjun

14.6k views

Arjun asked Feb 18, 2021

13 votes

1 answer

55

GATE CSE 2021 Set 2 | Question: 45
Consider a computer network using the distance vector routing algorithm in its network layer. The partial topology of the network is shown below. The objective is to find the shortest-cost path from the router $R$ to routers $P$ and $Q$. Assume that $R$ does not initially ... a packet from $R$ to $P$ is $Y$ The next hop router for a packet from $R$ to $Q$ is $Z$

Consider a computer network using the distance vector routing algorithm in its network layer. The partial topology of the network is shown below.The objective is to find ...

Arjun

5.1k views

Arjun asked Feb 18, 2021

15 votes

3 answers

56

GATE CSE 2021 Set 2 | Question: 46
Consider the following directed graph: Which of the following is/are correct about the graph? The graph does not have a topological order A depth-first traversal starting at vertex $S$ classifies three directed edges as back edges The graph does not have a strongly connected component For each pair of vertices $u$ and $v$, there is a directed path from $u$ to $v$

Consider the following directed graph:Which of the following is/are correct about the graph?The graph does not have a topological orderA depth-first traversal starting at...

Arjun

8.8k views

Arjun asked Feb 18, 2021

26 votes

5 answers

57

GATE CSE 2021 Set 2 | Question: 47
Which of the following regular expressions represent(s) the set of all binary numbers that are divisible by three? Assume that the string $\epsilon$ is divisible by three. $(0+1(01^*0)^*1)^*$ $(0+11+10(1+00)^*01)^*$ $(0^*(1(01^*0)^*1)^*)^*$ $(0+11+11(1+00)^*00)^*$

Which of the following regular expressions represent(s) the set of all binary numbers that are divisible by three? Assume that the string $\epsilon$ is divisible by three...

Arjun

12.4k views

Arjun asked Feb 18, 2021

61 votes

4 answers

58

GATE CSE 2021 Set 2 | Question: 48
Consider a three-level page table to translate a $39-$bit virtual address to a physical address as shown below: The page size is $\text{4 KB} \;(1\text{KB}=2^{10}$ bytes$)$ and page table entry size at every level is $8$ bytes. A ... $P$ across all levels is _________ $\text{KB}$.

Consider a three-level page table to translate a $39-$bit virtual address to a physical address as shown below:The page size is $\text{4 KB} \;(1\text{KB}=2^{10}$ bytes$)...

Arjun

28.9k views

Arjun asked Feb 18, 2021

16 votes

3 answers

59

GATE CSE 2021 Set 2 | Question: 49
Consider the following $\text{ANSI C}$ program #include <stdio.h> int foo(int x, int y, int q) { if ((x<=0) && (y<=0)) return q; if (x<=0) return foo(x, y-q, q); if (y<=0) return foo(x-q, y, q); return foo(x, ... ); } int main( ) { int r = foo(15, 15, 10); printf( %d , r); return 0; } The output of the program upon execution is _________

Consider the following $\text{ANSI C}$ program#include <stdio.h int foo(int x, int y, int q) { if ((x<=0) && (y<=0)) return q; if (x<=0) return foo(x, y-q, q); if (y<=0)...

Arjun

8.4k views

Arjun asked Feb 18, 2021

26 votes

6 answers

60

GATE CSE 2021 Set 2 | Question: 50
Let $S$ be a set of consisting of $10$ elements. The number of tuples of the form $(A,B)$ such that $A$ and $B$ are subsets of $S$, and $A \subseteq B$ is ___________

Let $S$ be a set of consisting of $10$ elements. The number of tuples of the form $(A,B)$ such that $A$ and $B$ are subsets of $S$, and $A \subseteq B$ is ___________

Arjun

12.1k views

Arjun asked Feb 18, 2021

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force match	+apple
views	views:100
score	score:10
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