Recent questions tagged functions / GATE Overflow for GATE CSE

3 votes

1 answer

91

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

396 views

GO Classes asked Apr 30, 2022

0 votes

1 answer

92

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

952 views

saba780 asked Apr 26, 2022

5 votes

1 answer

93

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

94

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

95

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

306 views

GO Classes asked Apr 21, 2022

3 votes

1 answer

96

GATE Mechanical 2022 Set 2 | GA Question: 3
If $f\left ( x \right ) = 2 \:\ln \left ( \sqrt{e^{x}} \right )$, what is the area bounded by $f\left ( x \right )$ for the interval $\left [ 0,2 \right ]$ on the $x$ – axis? $\frac{1}{2}$ $1$ $2$ $4$

If $f\left ( x \right ) = 2 \:\ln \left ( \sqrt{e^{x}} \right )$, what is the area bounded by $f\left ( x \right )$ for the interval $\left [ 0,2 \right ]$ on the $x$ –...

Arjun

421 views

Arjun asked Feb 15, 2022

1 votes

1 answer

97

GATE Mechanical 2022 Set 2 | GA Question: 8
Consider the following for non-zero positive integers, $p$ and $q$. $f\left ( p, q \right ) = \frac{p\times p\times p\times \cdots\: \cdots\: \cdots \times p \:= \:p^{q}}{q\:{terms}}; f\left ( p, 1 \right )=p$ ... $g\left ( 2,1 \right ) \neq f\left ( 2,1 \right )$ $f\left ( 3,2 \right )> g\left ( 3,2 \right )$

Consider the following for non-zero positive integers, $p$ and $q$.$f\left ( p, q \right ) = \frac{p\times p\times p\times \cdots\: \cdots\: \cdots \times p \:= \:p^{q}}{...

Arjun

508 views

Arjun asked Feb 15, 2022

13 votes

2 answers

98

GATE CSE 2022 | GA Question: 2
A function $y(x)$ is defined in the interval $[0, 1]$ on the $x - $ ... the curve for the interval $[0, 1]$ on the $x - $ axis? $\frac{5}{6}$ $\frac{6}{5}$ $\frac{13}{6}$ $\frac{6}{13}$

A function $y(x)$ is defined in the interval $[0, 1]$ on the $x – $ axis as$$y(x) = \left\{\begin{matrix} 2& \text{if} & 0 \leq x < \frac{1}{3} \\ 3& \text{if}& \frac{1...

Arjun

6.2k views

Arjun asked Feb 15, 2022

0 votes

1 answer

99

In my mind
#include<stdio.h> Int main(void){ Int a=printf("%d",printf("%d %d",printf("GATE"),printf("OVERFLOW"))); printf("%d",a); return 0; } What is the reason for different output? Explain ideas.

#include<stdio.h>Int main(void){Int a=printf("%d",printf("%d %d",printf("GATE"),printf("OVERFLOW")));printf("%d",a);return 0;}What is the reason for different output?Expl...

SÀRÁTH_2003

499 views

SÀRÁTH_2003 asked Jan 7, 2022

1 votes

1 answer

100

TIFR CSE 2021 | Part A | Question: 5
Let $n, m$ and $k$ be three positive integers such that $n \geq m \geq k$. Let $S$ be a subset of $\left \{ 1, 2,\dots, n \right \}$ of size $k$. Consider sampling a function $f$ uniformly at random from the set of all functions mapping $\left \{ 1,\dots, n \right \}$ ... $1-\frac{k!\binom{n}{k}}{n^{k}}$ $1-\frac{k!\binom{n}{k}}{m^{k}}$

Let $n, m$ and $k$ be three positive integers such that $n \geq m \geq k$. Let $S$ be a subset of $\left \{ 1, 2,\dots, n \right \}$ of size $k$. Consider sampling a func...

soujanyareddy13

595 views

soujanyareddy13 asked Mar 25, 2021

3 votes

1 answer

101

GATE Civil 2021 Set 1 | GA Question: 9
A function, $\lambda$, is defined by $\lambda \left ( p,q \right )=\left\{\begin{matrix} \left ( p-q \right )^{2}, & \text{if} \:p\geq q, \\ p+q, &\text{if} \: p< q.\end{matrix}\right.$ ... $-1$ $0$ $\frac{16}{3}$ $16$

A function, $\lambda$, is defined by$\lambda \left ( p,q \right )=\left\{\begin{matrix} \left ( p-q \right )^{2}, & \text{if} \:p\geq q, \\ p+q, &\text{if} \: p< q.\end{m...

Arjun

596 views

Arjun asked Feb 19, 2021

24 votes

3 answers

102

GATE CSE 2021 Set 2 | Question: 11
Consider the following sets, where $n \geq 2$: $S_1$: Set of all $n \times n$ matrices with entries from the set $\{ a, b, c\}$ $S_2$: Set of all functions from the set $\{0,1,2, \dots, n^2-1\}$ ... There exists a surjection from $S_1$ to $S_2$ There exists a bijection from $S_1$ to $S_2$ There does not exist an injection from $S_1$ to $S_2$

Consider the following sets, where $n \geq 2$:$S_1$: Set of all $n \times n$ matrices with entries from the set $\{ a, b, c\}$$S_2$: Set of all functions from the set $\{...

Arjun

6.5k views

Arjun asked Feb 18, 2021

0 votes

1 answer

103

CMI-2018-DataScience-A: 14
Consider the following functions defined from the interval $(0,1)$ to real numbers. Which of these functions attain their maximum value in the interval $(0,1)?$ $f(x)=\frac{1}{x(1-x)}$ $g(x)=-(x-0.75)^2$ $u(x)=\sin(\frac{\pi x}{2})$ $v(x)=x^2+2x$

Consider the following functions defined from the interval $(0,1)$ to real numbers. Which of these functions attain their maximum value in the interval $(0,1)?$$f(x)=\fra...

soujanyareddy13

531 views

soujanyareddy13 asked Jan 29, 2021

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