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Use the google search bar on side panel. It searches through all previous GATE/other questions. For hardcopy of previous year questions please see
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Recent questions tagged numericalanswers
Questions with numerical answers and no options. No negative marks for these questions.
+1
vote
1
answer
1
GATE199525b
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
(
418k
points)

167
views
gate1995
settheory&algebra
numericalanswers
sets
+5
votes
6
answers
2
GATE201917
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
(
418k
points)

2.9k
views
gate2019
numericalanswers
operatingsystem
fork
+2
votes
3
answers
3
GATE201918
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
(
418k
points)

2.3k
views
gate2019
numericalanswers
programminginc
programming
+6
votes
3
answers
4
GATE201919
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}{llll} \hline a & b & d & \$ \\ \hline ... $)$ , then the answer should be $3210$)
asked
Feb 7
in
Compiler Design
by
Arjun
Veteran
(
418k
points)

2.3k
views
gate2019
numericalanswers
compilerdesign
parsing
+7
votes
3
answers
5
GATE201920
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
(
418k
points)

2.9k
views
gate2019
numericalanswers
algorithms
quicksort
probability
+3
votes
8
answers
6
GATE201921
The value of $3^{51} \text{ mod } 5$ is _____
asked
Feb 7
in
Combinatory
by
Arjun
Veteran
(
418k
points)

2.8k
views
gate2019
numericalanswers
permutationandcombination
modulararithmetic
+6
votes
4
answers
7
GATE201922
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 $4bit$ (unsigned) binary representations have the same most significant bit is _______________.
asked
Feb 7
in
Digital Logic
by
Arjun
Veteran
(
418k
points)

4.4k
views
gate2019
numericalanswers
digitallogic
numberrepresentation
probability
+3
votes
4
answers
8
GATE201923
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 $YX$ is ____
asked
Feb 7
in
Operating System
by
Arjun
Veteran
(
418k
points)

3.3k
views
gate2019
numericalanswers
operatingsystem
processsynchronization
+4
votes
5
answers
9
GATE201924
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
(
418k
points)

2.3k
views
gate2019
numericalanswers
programminginc
programming
+3
votes
5
answers
10
GATE201925
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
(
418k
points)

2.9k
views
gate2019
numericalanswers
algorithms
algorithmdesign
+4
votes
3
answers
11
GATE201941
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
(
418k
points)

2.5k
views
gate2019
numericalanswers
operatingsystem
processschedule
+1
vote
3
answers
12
GATE201942
The index node (inode) of a Unix like file system has $12$ direct, one singleindirect and one doubleindirect 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
(
418k
points)

2.7k
views
gate2019
numericalanswers
operatingsystem
filesystem
+2
votes
3
answers
13
GATE201943
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
(
418k
points)

2.4k
views
gate2019
numericalanswers
compilerdesign
grammar
+3
votes
3
answers
14
GATE201944
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
(
418k
points)

2.4k
views
gate2019
numericalanswers
engineeringmathematics
linearalgebra
eigenvalue
+3
votes
7
answers
15
GATE201945
A certain processor deploys a singlelevel 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
(
418k
points)

2.2k
views
gate2019
numericalanswers
coandarchitecture
cachememory
+9
votes
6
answers
16
GATE201946
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
(
418k
points)

5k
views
gate2019
numericalanswers
datastructure
binarytree
+5
votes
3
answers
17
GATE201947
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
(
418k
points)

2.7k
views
gate2019
numericalanswers
engineeringmathematics
probability
uniformdistribution
+2
votes
3
answers
18
GATE201948
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
(
418k
points)

3k
views
gate2019
numericalanswers
theoryofcomputation
finiteautomata
minimalstateautomata
+2
votes
6
answers
19
GATE201949
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
(
418k
points)

2.4k
views
gate2019
numericalanswers
computernetworks
lantechnologies
+4
votes
10
answers
20
GATE201950
What is the minimum number of $2$input NOR gates required to implement a $4$ variable function expressed in sumofminterms 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
(
418k
points)

5.6k
views
gate2019
numericalanswers
digitallogic
canonicalnormalform
+4
votes
3
answers
21
GATE201951
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
(
418k
points)

3.5k
views
gate2019
numericalanswers
databases
sql
+3
votes
3
answers
22
GATE201952
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
(
418k
points)

2.2k
views
gate2019
numericalanswers
programminginc
programming
+2
votes
1
answer
23
GATE201953
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+(*bi)*(bi); printf("%d\n", sum); return 0; } The output of the above C program is _______
asked
Feb 7
in
Programming
by
Arjun
Veteran
(
418k
points)

2.2k
views
gate2019
numericalanswers
programminginc
programming
+4
votes
3
answers
24
GATE201954
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
(
418k
points)

2.3k
views
gate2019
numericalanswers
computernetworks
networksecurity
+5
votes
2
answers
25
GATE201955
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
(
418k
points)

2.5k
views
gate2019
numericalanswers
databases
relationalalgebra
+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 4bit (unsigned) binary representations have the same most significant bit is
asked
Feb 7
in
Probability
by
Ram Swaroop
Active
(
4k
points)

696
views
usergate2019
usermod
probability
numericalanswers
normal
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
(
455
points)

53
views
numericalanswers
computernetworks
transmissionmedia
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