Answers by akshaw / GATE Overflow for GATE CSE

6 votes

1

GO Classes CS/DA 2025 | Weekly Quiz 4 | Linear Algebra | Question: 23
Let $A$ be an $m \times n$-matrix. Consider the system of linear equations $A X=b$, which of the following statement is always true: Suppose $m>n$ then rank of augmented matrix $(A \mid b)$ can not larger than $m$. ... solution then $A X=0$ has unique solution. If $A X=b$ has a unique solution then $A$ has to be invertible.

Let $A$ be an $m \times n$-matrix. Consider the system of linear equations $A X=b$, which of the following statement is always true:Suppose $m>n$ then rank of augmented m...

1.5k views

answered Apr 16, 2023

7 votes

2

GO Classes CS/DA 2025 | Weekly Quiz 4 | Linear Algebra | Question: 1
Consider the vectors $\mathbf{v}_1$ and $\mathbf{v}_2$ ... otherwise The vectors $\left\{\mathbf{v}_1, \mathbf{v}_2\right\}$ are linearly independent when $t=4$, and linearly dependent otherwise

Consider the vectors $\mathbf{v}_1$ and $\mathbf{v}_2$ given by$$\mathbf{v}_1=\left(\begin{array}{l}2 \\t \\3\end{array}\right), \quad \mathbf{v}_2=\left(\begin{array}{l}...

900 views

answered Apr 15, 2023

8 votes

3

GATE CSE 2023 | Question: 36
Let $A$ be a priority queue for maintaining a set of elements. Suppose $A$ is implemented using a max-heap data structure. The operation $\text{EXTRACT-MAX} (A)$ extracts and deletes the maximum element from $A$. The operation $\operatorname{INSERT}(A, key )$ inserts a new ... $O(1)$ whereas $\operatorname{INSERT}(A, k e y)$ runs in $O(\log (n))$.

Let $A$ be a priority queue for maintaining a set of elements. Suppose $A$ is implemented using a max-heap data structure. The operation $\text{EXTRACT-MAX} (A)$ extracts...

6.3k views

answered Feb 15, 2023

9 votes

4

GATE CSE 2023 | Question: 31
Consider the given $\text{C}$-code and its corresponding assembly code, with a few operands $\text{U1-U4}$ being unknown. Some useful information as well as the semantics of each unique assembly instruction is annotated as inline comments in the code. The memory is byte-addressable. Which one of ... $(3,4,4, \text{L01)}$ $(8,1,1, \text{L02)}$ $(3,1,1, \text{L01)}$

Consider the given $\text{C}$-code and its corresponding assembly code, with a few operands $\text{U1-U4}$ being unknown. Some useful information as well as the semantics...

7.1k views

answered Feb 15, 2023

4 votes

5

GATE CSE 2023 | Question: 13
Which one or more of the following options guarantee that a computer system will transition from user mode to kernel mode? Function Call malloc Call Page Fault System Call

Which one or more of the following options guarantee that a computer system will transition from user mode to kernel mode?Function Callmalloc CallPage FaultSystem Call

11.5k views

answered Feb 15, 2023

13 votes

6

GATE CSE 2023 | Question: 22
A particular number is written as $132$ in radix-$4$ representation. The same number in radix-$5$ representation is _____________.

A particular number is written as $132$ in radix-$4$ representation. The same number in radix-$5$ representation is _____________.

12.5k views

answered Feb 15, 2023

15 votes

7

GATE CSE 2023 | Question: 21
The value of the definite integral \[ \int_{-3}^{3} \int_{-2}^{2} \int_{-1}^{1}\left(4 x^{2} y-z^{3}\right) \mathrm{d} z \mathrm{~d} y \mathrm{~d} x \] is _________. (Rounded off to the nearest integer)

The value of the definite integral \[\int_{-3}^{3} \int_{-2}^{2} \int_{-1}^{1}\left(4 x^{2} y-z^{3}\right) \mathrm{d} z \mathrm{~d} y \mathrm{~d} x\]is _________. (Rounde...

8.9k views

answered Feb 15, 2023

0 votes

8

GO Classes Scholarship 2023 | Test | Question: 22
Consider below two program fragments. Assume malloc is always successful, and sizes are as follows - sizeof (int *)=8 bytes sizeof ( double)=8 bytes sizeof ( char )=1 byte sizeof ( int )=4 byte Program 1 int **p; p = (int ... run time error, but Program $1$ will run fine. Both programs will always run fine. Both programs may produce run time errors.

Consider below two program fragments.Assume malloc is always successful, and sizes are as follows -sizeof (int *)=8 bytes sizeof ( double)=8 bytes sizeof ( char )=1 byte ...

652 views

answered Aug 7, 2022

2 votes

9

GO Classes Scholarship 2023 | Test | Question: 26
What will be the output of the following C program? int sum = 0; for (int i = 1; i <= 10; i++) for (int j = 1; j <= 10; j++){ sum += i * j; }

What will be the output of the following C program?int sum = 0; for (int i = 1; i <= 10; i++) for (int j = 1; j <= 10; j++){ sum += i * j; }

436 views

answered Aug 7, 2022

1 votes

10

GO Classes Scholarship 2023 | Test | Question: 27
What will be the number of recursive calls for $\textsf{mystery(5)}$ including the first call? void mystery(int n) { if (n == 0 || n == 1) return 0; mystery(n-2); printf("%d", n); mystery(n-1); }

What will be the number of recursive calls for $\textsf{mystery(5)}$ including the first call?void mystery(int n) { if (n == 0 || n == 1) return 0; mystery(n-2); printf("...

567 views

answered Aug 7, 2022

0 votes

11

GO Classes Scholarship 2023 | Test | Question: 16
Consider the following declaration of variables $a$ and $b.$ int a = 1, b = 0; Which of the following is/are will evaluate to TRUE? b++ && b == a b++ && a == 0 a || b == --a a || ++b == 0

Consider the following declaration of variables $a$ and $b.$int a = 1, b = 0;Which of the following is/are will evaluate to TRUE?b++ && b == ab++ && a == 0a || b == aa |...

724 views

answered Aug 7, 2022

2 votes

12

GO Classes Scholarship 2023 | Test | Question: 18
Consider the following declaration of pointer variable $p.$ int (*p)[10][5]; If the initial value of $p$ is $1000,$ then what will be the value of $p+1?$ It is given that system has $8$ bytes of address size and $4$ bytes of integer size.

Consider the following declaration of pointer variable $p.$int (*p)[10][5];If the initial value of $p$ is $1000,$ then what will be the value of $p+1?$It is given that sy...

895 views

answered Aug 7, 2022

2 votes

13

GO Classes Scholarship 2023 | Test | Question: 14
Consider the following C program given below. #include<stdio.h> main() { int a = 4; switch (a) { a--; case 4: printf("Science "); break; default: printf("Technology "); case ... ;Philosophy"); } } What will be the output of the program? Science Knowledge Philosophy Technology Knowledge Philosophy Science Knowledge

Consider the following C program given below.#include<stdio.h main() { int a = 4; switch (a) { a ; case 4: printf("Science "); break; default: printf("Technology "); case...

644 views

answered Aug 7, 2022

6 votes

14

GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 14
The number of ways of selecting at least one Indian and at least one American for a debate from a group comprising $3$ Indians and $4$ Americans and no one else?

The number of ways of selecting at least one Indian and at least one American for a debate from a group comprising $3$ Indians and $4$ Americans and no one else?

669 views

answered Jun 14, 2022

1 votes

15

GATE Suitability Test | Test 1 | Question: 2
The set of values printed (in any order) by the following code will be #include<stdio.h> #include<unistd.h> int main() { static int count; if(fork()) { count++; } if(fork() && !count++) count++; printf(“%d \t”, count); } 0 1 1 2 0 0 1 2 0 1 2 2 2 2 2 2

The set of values printed (in any order) by the following code will be#include<stdio.h #include<unistd.h int main() { static int count; if(fork()) { count++; } if(fork() ...

314 views

answered Jun 7, 2022

6 votes

16

GO Classes CS Test Series 2025 | Discrete Mathematics | Topic Wise Test 1 | Question: 14
Let $\text{P}$ be a compound proposition over $4$ propositional variables $: a,b,c,d.$ We know that for a compound proposition over n propositional variables, we have $2^{n}$ rows in the truth table. Every row of the ... the sentence $(a \wedge b) \vee (b \wedge c)$ How many models are there for $\text{P}?$

Let $\text{P}$ be a compound proposition over $4$ propositional variables $: a,b,c,d.$We know that for a compound proposition over n propositional variables, we have $2^{...

560 views

answered Jun 5, 2022

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