Recent questions tagged numerical-answers

+5 votes

2 answers

1

GATE1995-25b
Determine the number of positive integers $(\leq 720)$ which are not divisible by any of $2,3$ or $5.$

asked Jun 6 in Set Theory & Algebra by Arjun Veteran (423k points) | 282 views

+7 votes

6 answers

2

GATE2019-17
The following C program is executed on a Unix/Linux system : #include<unistd.h> int main() { int i; for(i=0; i<10; i++) if(i%2 == 0) fork(); return 0; } The total number of child processes created is ________________ .

asked Feb 7 in Operating System by Arjun Veteran (423k points) | 3.2k views

+2 votes

4 answers

3

GATE2019-18
Consider the following C program : #include<stdio.h> int jumble(int x, int y){ x = 2*x+y; return x; } int main(){ int x=2, y=5; y=jumble(y,x); x=jumble(y,x); printf("%d \n",x); return 0; } The value printed by the program is ______________.

asked Feb 7 in Programming by Arjun Veteran (423k points) | 2.4k views

+7 votes

3 answers

4

GATE2019-19
Consider the grammar given below: $S \rightarrow Aa$ $A \rightarrow BD$ $B \rightarrow b \mid \epsilon $ $D \rightarrow d \mid \epsilon $ Let $a,b,d$ and $\$ be indexed as follows:$\begin{array}{|l|l|l|l|} \hline a & b & d & \$ \\ \hline ... $)$ , then the answer should be $3210$)

asked Feb 7 in Compiler Design by Arjun Veteran (423k points) | 2.4k views

+9 votes

3 answers

5

GATE2019-20
An array of $25$ distinct elements is to be sorted using quicksort. Assume that the pivot element is chosen uniformly at random. The probability that the pivot element gets placed in the worst possible location in the first round of partitioning (rounded off to $2$ decimal places) is ________

asked Feb 7 in Algorithms by Arjun Veteran (423k points) | 3.1k views

+5 votes

10 answers

6

GATE2019-21
The value of $3^{51} \text{ mod } 5$ is _____

asked Feb 7 in Combinatory by Arjun Veteran (423k points) | 3.1k views

+9 votes

4 answers

7

GATE2019-22
Two numbers are chosen independently and uniformly at random from the set $\{1,2,\ldots,13\}.$ The probability (rounded off to 3 decimal places) that their $4-bit$ (unsigned) binary representations have the same most significant bit is _______________.

asked Feb 7 in Digital Logic by Arjun Veteran (423k points) | 4.7k views

+4 votes

5 answers

8

GATE2019-23
Consider three concurrent processes $P1$, $P2$ and $P3$ as shown below, which access a shared variable $D$ that has been initialized to $100$ ... maximum possible values of $D$ after the three processes have completed execution are $X$ and $Y$ respectively, then the value of $Y-X$ is ____

asked Feb 7 in Operating System by Arjun Veteran (423k points) | 3.5k views

+4 votes

6 answers

9

GATE2019-24
Consider the following C program: #include <stdio.h> int main() { int arr[]={1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 5}, *ip=arr+4; printf(“%d\n”, ip[1]); return 0; } The number that will be displayed on execution of the program is _______

asked Feb 7 in Programming by Arjun Veteran (423k points) | 2.4k views

+4 votes

5 answers

10

GATE2019-25
Consider a sequence of $14$ elements: $A=[-5, -10, 6, 3, -1, -2, 13, 4, -9, -1, 4, 12, -3, 0]$. The sequence sum $S(i,j) = \Sigma_{k=i}^j A[k]$. Determine the maximum of $S(i,j)$, where $0 \leq i \leq j <14$. (Divide and conquer approach may be used.) Answer: ___________

asked Feb 7 in Algorithms by Arjun Veteran (423k points) | 3.2k views

+4 votes

3 answers

11

GATE2019-41
Consider the following four processes with arrival times (in milliseconds) and their length of CPU bursts (in milliseconds) as shown below: ... Remaining Time First scheduling algorithm. If the average waiting time of the processes is $1$ millisecond, then the value of $Z$ is _____

asked Feb 7 in Operating System by Arjun Veteran (423k points) | 2.7k views

+1 vote

3 answers

12

GATE2019-42
The index node (inode) of a Unix -like file system has $12$ direct, one single-indirect and one double-indirect pointers. The disk block size is $4$ kB, and the disk block address is $32$-bits long. The maximum possible file size is (rounded off to $1$ decimal place) ____ GB

asked Feb 7 in Operating System by Arjun Veteran (423k points) | 3k views

+2 votes

3 answers

13

GATE2019-43
Consider the augmented grammar given below: $S’ \rightarrow S$ $S \rightarrow \langle L \rangle \mid id$ $L \rightarrow L, S \mid S$ Let $I_0 = \text{CLOSURE} (\{[S’ \rightarrow \cdot S ]\}).$ The number of items in the set $\text{GOTO} (I_0, \langle \: )$ is______

asked Feb 7 in Compiler Design by Arjun Veteran (423k points) | 2.6k views

+4 votes

3 answers

14

GATE2019-44
Consider the following matrix: $R = \begin{bmatrix} 1 & 2 & 4 & 8 \\ 1 & 3 & 9 & 27 \\ 1 & 4 & 16 & 64 \\ 1 & 5 & 25 & 125 \end{bmatrix}$ The absolute value of the product of Eigen values of $R$ is _______

asked Feb 7 in Linear Algebra by Arjun Veteran (423k points) | 2.6k views

+6 votes

8 answers

15

GATE2019-45
A certain processor deploys a single-level cache. The cache block size is $8$ words and the word size is $4$ bytes. The memory system uses a $60$-MHz clock. To service a cache miss, the memory controller first takes $1$ cycle to accept the ... bandwidth for the memory system when the program running on the processor issues a series of road operations is ______$\times 10^6$ bytes/sec

asked Feb 7 in CO and Architecture by Arjun Veteran (423k points) | 2.5k views

+10 votes

7 answers

16

GATE2019-46
Let $T$ be a full binary tree with $8$ leaves. (A full binary tree has every level full.) Suppose two leaves $a$ and $b$ of $T$ are chosen uniformly and independently at random. The expected value of the distance between $a$ and $b$ in $T$ (ie., the number of edges in the unique path between $a$ and $b$) is (rounded off to $2$ decimal places) _________.

asked Feb 7 in DS by Arjun Veteran (423k points) | 5.4k views

+6 votes

3 answers

17

GATE2019-47
Suppose $Y$ is distributed uniformly in the open interval $(1,6)$. The probability that the polynomial $3x^2 +6xY+3Y+6$ has only real roots is (rounded off to $1$ decimal place) _______

asked Feb 7 in Probability by Arjun Veteran (423k points) | 2.9k views

+4 votes

3 answers

18

GATE2019-48
Let $\Sigma$ be the set of all bijections from $\{1, \dots , 5\}$ to $\{1, \dots , 5 \}$, where $id$ denotes the identity function, i.e. $id(j)=j, \forall j$. Let $\circ$ ... $L=\{x \in \Sigma^* \mid \pi (x) =id\}$. The minimum number of states in any DFA accepting $L$ is _______

asked Feb 7 in Theory of Computation by Arjun Veteran (423k points) | 3.3k views

+4 votes

5 answers

19

GATE2019-49
Consider that $15$ machines need to be connected in a LAN using $8$-port Ethernet switches. Assume that these switches do not have any separate uplink ports. The minimum number of switches needed is ______

asked Feb 7 in Computer Networks by Arjun Veteran (423k points) | 2.7k views

+4 votes

10 answers

20

GATE2019-50
What is the minimum number of $2$-input NOR gates required to implement a $4$ -variable function expressed in sum-of-minterms form as $f=\Sigma(0,2,5,7, 8, 10, 13, 15)?$ Assume that all the inputs and their complements are available. Answer: _______

asked Feb 7 in Digital Logic by Arjun Veteran (423k points) | 5.9k views

+4 votes

3 answers

21

GATE2019-51
A relational database contains two tables Student and Performance as shown below: ... Student S, Performance P WHERE P.Marks >84 GROUP BY S.Student_name; The number of rows returned by the above SQL query is ________

asked Feb 7 in Databases by Arjun Veteran (423k points) | 3.8k views

+3 votes

3 answers

22

GATE2019-52
Consider the following C program: #include <stdio.h> int main() { float sum = 0.0, j=1.0, i=2.0; while (i/j > 0.0625) { j=j+j; sum=sum+i/j; printf("%f\n", sum); } return 0; } The number of times the variable sum will be printed, when the above program is executed, is _________

asked Feb 7 in Programming by Arjun Veteran (423k points) | 2.3k views

+2 votes

2 answers

23

GATE2019-53
Consider the following C program: #include <stdio.h> int main() { int a[] = {2, 4, 6, 8, 10}; int i, sum=0, *b=a+4; for (i=0; i<5; i++) sum=sum+(*b-i)-*(b-i); printf("%d\n", sum); return 0; } The output of the above C program is _______

asked Feb 7 in Programming by Arjun Veteran (423k points) | 2.3k views

+5 votes

4 answers

24

GATE2019-54
In an RSA cryptosystem, the value of the public modulus parameter $n$ is $3007$. If it is also known as that $\phi(n)=2880$ where $\phi()$ denotes Euler’s Totient Function, then the prime factor of $n$ which is greater than $50$ is _________

asked Feb 7 in Computer Networks by Arjun Veteran (423k points) | 2.4k views

+5 votes

2 answers

25

GATE2019-55
Consider the following relations $P(X,Y,Z), Q(X,Y,T)$ and $R(Y,V)$ ... Answer: ________

asked Feb 7 in Databases by Arjun Veteran (423k points) | 2.7k views

+1 vote

3 answers

26

GATE 2019 23
Q.23 Two numbers are chosen independently and uniformly at random from the set (1, 2,..., 13]. The probability (rounded off to 3 decimal places) that their 4-bit (unsigned) binary representations have the same most significant bit is

asked Feb 7 in Probability by Ram Swaroop Active (4.4k points) | 763 views

0 votes

1 answer

27

Applied course
Calculate total time to transmit a 1500 KB file over a link.Assume one way delay in either direction is 40ms .Bandwidth is 1Mbps and packet size including header is 1 KB where header length is 40 Bytes ?

asked Jan 27 in Computer Networks by screddy1313 (481 points) | 56 views

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