Recent questions tagged functions / GATE Overflow for GATE CSE

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61

made easy test series

Neelu Lalchandani

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Neelu Lalchandani asked Oct 16, 2022

5 votes

1 answer

62

TIFR CSE 2022 | Part A | Question: 5
Let $\mathcal{F}$ be the set of all functions mapping $\{1, \ldots, n\}$ to $\{1, \ldots, m\}$. Let $f$ be a function that is chosen uniformly at random from $\mathcal{F}$. Let $x, y$ be distinct elements from the set $\{1, \ldots, n\}$. Let $p$ denote the probability ... Then, $p=0$ $p=\frac{1}{n^m}$ $0<p \leq \frac{1}{m^n}$ $p=\frac{1}{m}$ $p=\frac{1}{n}$

Let $\mathcal{F}$ be the set of all functions mapping $\{1, \ldots, n\}$ to $\{1, \ldots, m\}$. Let $f$ be a function that is chosen uniformly at random from $\mathcal{F}...

admin

456 views

admin asked Sep 1, 2022

5 votes

1 answer

63

GO Classes Test Series 2023 | Calculus | Test 1 | Question: 4
The function $f(x)=\cos x-x$ is an even function is an odd function is neither an even nor an odd function None of these

The function $f(x)=\cos x-x$is an even functionis an odd functionis neither an even nor an odd functionNone of these

GO Classes

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GO Classes asked Aug 28, 2022

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0 answers

64

Best Open Video Playlist for Functions Topic | Quantitative Aptitude
Please list out the best free available video playlist for Functions from Quantitative Aptitude as an answer here (only one playlist per answer). We'll then select the best playlist and add to GO classroom video lists. You ... ones are more likely to be selected as best. For the full list of selected videos please see here

Please list out the best free available video playlist for Functions from Quantitative Aptitude as an answer here (only one playlist per answer). We'll then select the be...

makhdoom ghaya

159 views

makhdoom ghaya asked Aug 26, 2022

1 votes

1 answer

65

maths igate test series
Which of the relations below can also be characterized as a function defined on the set I = { 1, 2, 3, 4, 5 } { (x, y) | x, y ∈ I, x < y } B{ (x, y) | x, y ∈ I, x = 1 } C{ (x, y) | x, y ∈ I, x! = y } None of these

Which of the relations below can also be characterized as a function defined on the setI = { 1, 2, 3, 4, 5 }{ (x, y) | x, y ∈ I, x < y }B{ (x, y) | x, y ∈ I, x = 1 }C...

jugnu1337

499 views

jugnu1337 asked Aug 15, 2022

1 votes

1 answer

66

ISI 2021 | PCB CS | Question: 4
Let $A$ be a matrix of size row $\times$ col. $A$ has to be filled in a spiral clockwise fashion with successive integers from $1,2, \ldots$, row $\times$ col starting from the top left corner. For example, a $3 \times 4$ ... (int *)); for(i=0;i<row;i++){ A[i] = (int *)calloc(col,sizeof(int)); } spiralFill(A,row,col); }

Let $A$ be a matrix of size row $\times$ col. $A$ has to be filled in a spiral clockwise fashion with successive integers from $1,2, \ldots$, row $\times$ col starting fr...

admin

558 views

admin asked Aug 8, 2022

5 votes

3 answers

67

GO Classes Scholarship 2023 | Test | Question: 17
Consider the following pair of mutually recursive functions. int f(int n){ if (n==0) return 1; return f(n-1)+g(n-1); } int g(int n){ if (n==0) return 1; return g(n-1) - f(n); } Which of the following is/are will evaluate to TRUE? $f(2) == g(0)$ $g(2)+f(1) == 0$ $g(4)+g(1) == 0$ $f(3)+f(0) == 0$

Consider the following pair of mutually recursive functions.int f(int n){ if (n==0) return 1; return f(n-1)+g(n-1); } int g(int n){ if (n==0) return 1; return g(n-1) - f(...

GO Classes

638 views

GO Classes asked Aug 6, 2022

2 votes

1 answer

68

GO Classes Scholarship 2023 | Test | Question: 24
Consider the following function $\text{magic5().}$ void magic5(int x, int y){ if (condition) printf("magic"); } What condition we can write in “if-statement” such that $\text{magic5(5,5)}$ will print magic? !(x==5)!=!(y==5) (x==5)?!(y==5):(x==5) ((x==5)||(y==5))&&!((x==5)&&(y==5)) None of these

Consider the following function $\text{magic5().}$void magic5(int x, int y){ if (condition) printf("magic"); }What condition we can write in “if-statement” such that ...

GO Classes

333 views

GO Classes asked Aug 6, 2022

0 votes

1 answer

69

Maths for natural science
Determine the domain of the function $f(x)=\left | x \right |+1$

Determine the domain of the function $f(x)=\left | x \right |+1$

Hailemariam

311 views

Hailemariam asked Aug 5, 2022

3 votes

1 answer

70

GO Classes Weekly Quiz 12 | Discrete Mathematics | Group Theory, Functions | Question: 6
Let $f$ be a function from a set $X$ to a set $Y$. Consider the following statements. $P:$ For each $x \in X$, there exists $y \in Y$ such that $f(x)=y$. $Q$ : For each $y \in Y$, there exists $x \in X$ ... to-one and onto $Y$ " is $P$ or not $R$ $R$ or not $P$ $R$ or not $Q$ $P$ and not $R$

Let $f$ be a function from a set $X$ to a set $Y$. Consider the following statements.$P:$ For each $x \in X$, there exists $y \in Y$ such that $f(x)=y$.$Q$ : For each $y ...

GO Classes

363 views

GO Classes asked May 29, 2022

5 votes

1 answer

71

GO Classes Weekly Quiz 12 | Discrete Mathematics | Group Theory, Functions | Question: 14
Let $\mathrm{f}: \mathrm{A} \rightarrow \mathrm{B}$ and $\mathrm{g}: \mathrm{B} \rightarrow \mathrm{C}$ be maps. Which of the following is/are true? If $f$ and $g$ are both one-to-one functions, then $gof$ is one-to-one. ... $g \circ f$ is one-to-one and $f$ is onto, then $g$ is one-to-one.

Let $\mathrm{f}: \mathrm{A} \rightarrow \mathrm{B}$ and $\mathrm{g}: \mathrm{B} \rightarrow \mathrm{C}$ be maps.Which of the following is/are true?If $f$ and $g$ are both...

GO Classes

309 views

GO Classes asked May 29, 2022

2 votes

1 answer

72

GO Classes Test Series 2024 | Programming | Test 3 | Question: 16
What will be printed by the following program? #include<stdio.h> int func(int n, int * fg) { int t, f; if (n <= 1) { *fg = 1; return 1; } t = func(n - 1, fg); f = t + *fg; *fg = t; return f; } int main() { int x = 15; printf("%d\n", func(5, &x)); }

What will be printed by the following program?#include<stdio.h int func(int n, int * fg) { int t, f; if (n <= 1) { *fg = 1; return 1; } t = func(n - 1, fg); f = t + *fg; ...

GO Classes

273 views

GO Classes asked Apr 30, 2022

3 votes

1 answer

73

GO Classes Test Series 2024 | Programming | Test 3 | Question: 19
#include<stdio.h> int test(int *a, int *b) { int c = *a-*b; if (c<0) return 0; else return (1 + test(&c, b)); } void main() { int x = 15; int y = 4; int a = test(&x,&y); printf("%d", a); } $2$ $3$ $4$ Run time error since we can not pass the address of local variable c in the function test.

#include<stdio.h int test(int *a, int *b) { int c = *a-*b; if (c<0) return 0; else return (1 + test(&c, b)); } void main() { int x = 15; int y = 4; int a = test(&x,&y); p...

GO Classes

394 views

GO Classes asked Apr 30, 2022

0 votes

1 answer

74

simplify the following logic functionf(ABC)USING k-MAP f(ABC)=(A+B+C') .(A+B'+C')
simplify the following logic functionf(ABC)USING k-MAP f(ABC)=(A+B+C') .(A+B'+C')

simplify the following logic functionf(ABC)USING k-MAP f(ABC)=(A+B+C') .(A+B'+C')

saba780

940 views

saba780 asked Apr 26, 2022

5 votes

1 answer

75

GO Classes Test Series 2024 | Discrete Mathematics | Test 2 | Question: 13
The below function is defined from a set of all positive integers to a set of all integers. ... statements is true? It is one to one but not onto It is onto but not one-one It is bijection It is neither One-One nor Onto

The below function is defined from a set of all positive integers to a set of all integers.$f(n) = \left\{\begin{matrix} (n-1)/2\;;& \text{if}\; n \;\text{is odd} \\ -n/2...

GO Classes

385 views

GO Classes asked Apr 21, 2022

4 votes

1 answer

76

GO Classes Test Series 2024 | Discrete Mathematics | Test 2 | Question: 22
Let $\text{Z}$ be the set of all integers. Which of these functions from $\text{Z}$ to $\text{Z}$ is not Onto $f(n) = n-1$ $f(n) = n^{2} + 1$ $f(n) = n^{3}$ $f(n) = \left \lfloor \frac{n}{2} \right \rfloor$

Let $\text{Z}$ be the set of all integers. Which of these functions from $\text{Z}$ to $\text{Z}$ is not Onto$f(n) = n-1$$f(n) = n^{2} + 1$$f(n) = n^{3}$$f(n) = \left \lf...

GO Classes

411 views

GO Classes asked Apr 21, 2022

3 votes

1 answer

77

GO Classes Test Series 2024 | Discrete Mathematics | Test 2 | Question: 23
Which of the following statements must be true? $\left \lfloor x \right \rfloor = \left \lceil x \right \rceil$ if and only if $x$ is an integer. $\left \lfloor x \right \rfloor + 1 = \left \lceil x \right \rceil$ if and only ... for all $x,y.$ $-\left \lfloor x \right \rfloor = \left \lceil -x \right \rceil $ for all $x.$

Which of the following statements must be true?$\left \lfloor x \right \rfloor = \left \lceil x \right \rceil$ if and only if $x$ is an integer.$\left \lfloor x \right \r...

GO Classes

305 views

GO Classes asked Apr 21, 2022

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