Recent questions / GATE Overflow for GATE CSE

2 votes

1 answer

61

GO Classes DA 2025 | Weekly Quiz 6 | Change of Basis & Linear Transformation | Question: 14
Suppose $A$ is an $11 \times 5$ matrix and $T$ is the corresponding linear transformation given by the formula $T(x)=A x$ ... the matrix equation $A x=0$ has infinitely many solutions, then $\operatorname{rank}(A) \leq 4$.

Suppose $A$ is an $11 \times 5$ matrix and $T$ is the corresponding linear transformation given by the formula $T(x)=A x$. Which of the following statements are true?$\op...

GO Classes

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GO Classes asked Apr 11

2 votes

1 answer

62

GO Classes DA 2025 | Weekly Quiz 6 | Change of Basis & Linear Transformation | Question: 15
The matrix $ \left(\begin{array}{rr} -2 & 11 \\ 4 & 2 \end{array}\right) $ represents a linear transformation $T: \mathbb{R}^{2} \rightarrow \mathbb{R}^{2}$ ... $\left(\begin{array}{rr}-2 & 11 \\ 4 & 2\end{array}\right)$

The matrix$$\left(\begin{array}{rr}-2 & 11 \\4 & 2\end{array}\right)$$represents a linear transformation $T: \mathbb{R}^{2} \rightarrow \mathbb{R}^{2}$ with respect to th...

GO Classes

41 views

GO Classes asked Apr 11

4 votes

1 answer

63

GO Classes DA 2025 | Weekly Quiz 6 | Change of Basis & Linear Transformation | Question: 16
Suppose $A$ is an $11 \times 5$ matrix and $T$ is the corresponding linear transformation given by the formula $T(x)=A x$ ... the matrix equation $A x=0$ has infinitely many solutions, then $\operatorname{rank}(A) \leq 4$.

Suppose $A$ is an $11 \times 5$ matrix and $T$ is the corresponding linear transformation given by the formula $T(x)=A x$. Which of the following statements are true?$\op...

GO Classes

51 views

GO Classes asked Apr 11

0 votes

0 answers

64

Graph Theory
A vertex colouring with three colours of a graph G = (V, E) is a mapping V → {R, G, B }. So that any two adjacent vertices does not same colour. Consider the below graphs:

A vertex colouring with three colours of a graph G = (V, E) is a mapping V → {R, G, B }. So that any two adjacent vertices does not same colour. Consider the below grap...

alexa16

81 views

alexa16 asked Apr 11

0 votes

1 answer

65

Consider the following program: #include <stdio.h> int main(){ int a=2, i; static int b=a++; for(i=0;i<a+b;i++) printf("GATE Wallah"); return 0; } Which of the following is/are CORRECT? (a) GATE Wallah is printed 3 times. (b) GATE Wallah is printed 4 times. (c) GATE Wallah is printed 5 times. (d) Compilation Error.

Consider the following program: #include <stdio.h int main(){ int a=2, i; static int b=a++; for(i=0;i<a+b;i++) printf("GATE Wallah"); return 0; }Which of the following is...

Pradeep kori 73

76 views

Pradeep kori 73 asked Apr 11

0 votes

2 answers

66

Regular language
Can anyone explain how we can write this regular language for the following diagram ?(in depth)

Can anyone explain how we can write this regular language for the following diagram ?(in depth)

programmer1218

119 views

programmer1218 asked Apr 11

0 votes

0 answers

67

IIT BHUBANESHWAR MTECH WRITTEN EXAM AND INTERVIEW
PLEASE ANYONE GUIDE ME HOW I SHOULD PREPARE FOR MTECH WRITTEN TEST OF IIT BHUBANESHWAR ?

PLEASE ANYONE GUIDE ME HOW I SHOULD PREPARE FOR MTECH WRITTEN TEST OF IIT BHUBANESHWAR ?

Ray Tomlinson

72 views

Ray Tomlinson asked Apr 11

0 votes

2 answers

68

C Programming - Recursion
What is the output of the below code? #include <stdio.h> void main() { static int var = 5; printf("%d ", var--); if (var) main(); } a. 1 2 3 4 5 b. 1 c. 5 4 3 2 1 d. Error

What is the output of the below code?#include <stdio.h void main() { static int var = 5; printf("%d ", var ); if (var) main(); }a. 1 2 3 4 5b. 1c. 5 4 3 2 1d. Error

Debargha Mitra Roy

122 views

Debargha Mitra Roy asked Apr 10

1 votes

1 answer

69

GO Classes CS 2025 | Weekly Quiz 5 | Set Theory | Question: 1
If $A$ and $B$ are two sets and $A \cup B = A \cap B$ then $A=\phi$ $B=\phi$ $A\neq B$ $A=B$

If $A$ and $B$ are two sets and $A \cup B = A \cap B$ then$A=\phi$$B=\phi$$A\neq B$$A=B$

GO Classes

70 views

GO Classes asked Apr 10

1 votes

2 answers

70

GO Classes CS 2025 | Weekly Quiz 5 | Set Theory | Question: 2
The cardinality of the power set of $A \cup B$, where $A=\{2,3,5,7\}$ and $B=\{2$, $5,8,9\}$, is?

The cardinality of the power set of $A \cup B$, where $A=\{2,3,5,7\}$ and $B=\{2$, $5,8,9\}$, is?

GO Classes

74 views

GO Classes asked Apr 10

2 votes

1 answer

71

GO Classes CS 2025 | Weekly Quiz 5 | Set Theory | Question: 3
What is the Cartesian product of $A=\{1,2\}$ and $B=\{a, b\}$ ? $\{(1, a),(1, b),(2, a),(b, b)\}$ $\{(1,1),(2,2),(a, a),(b, b)\}$ $\{(1, a),(2, a),(1, b),(2, b)\}$ $\{(1,1),(a, a),(2, a),(1, b)\}$

What is the Cartesian product of $A=\{1,2\}$ and $B=\{a, b\}$ ?$\{(1, a),(1, b),(2, a),(b, b)\}$$\{(1,1),(2,2),(a, a),(b, b)\}$$\{(1, a),(2, a),(1, b),(2, b)\}$$\{(1,1),(...

GO Classes

62 views

GO Classes asked Apr 10

3 votes

1 answer

72

GO Classes CS 2025 | Weekly Quiz 5 | Set Theory | Question: 4
Let $\mathcal{P}(A)$ denote the power set of $A$. If $\mathcal{P}(A) \subseteq B$ then $2^{|A|} \leq|B|$ $2^{|A|} \geq|B|$ $2|A|<|B|$ $2^{|A|} \geq 2^{|B|}$

Let $\mathcal{P}(A)$ denote the power set of $A$. If $\mathcal{P}(A) \subseteq B$ then$2^{|A|} \leq|B|$$2^{|A|} \geq|B|$$2|A|<|B|$$2^{|A|} \geq 2^{|B|}$

GO Classes

66 views

GO Classes asked Apr 10

2 votes

3 answers

73

GO Classes CS 2025 | Weekly Quiz 5 | Set Theory | Question: 5
Let $\mathrm{A}$ be a finite set of size $\mathrm{n}$. The number of elements in the power set of $A \times A$ is: $2^{n^2}$ $\left(2^n\right)^2$ $\left(2^2\right)^n$ None of the above

Let $\mathrm{A}$ be a finite set of size $\mathrm{n}$. The number of elements in the power set of $A \times A$ is:$2^{n^2}$$\left(2^n\right)^2$$\left(2^2\right)^n$None of...

GO Classes

81 views

GO Classes asked Apr 10

1 votes

1 answer

74

GO Classes CS 2025 | Weekly Quiz 5 | Set Theory | Question: 6
Which one of the following is/are true? $R \cap S=(R \cup S)-[(R-S) \cup(S-R)]$ $R \cup S=(R \cap S)-[(R-S) \cup(S-R)]$ $R \cap S=(R \cup S)-[(R-S) \cap(S-R)]$ $R \cap S=(R \cup S) \cup(R-S)$

Which one of the following is/are true?$R \cap S=(R \cup S)-[(R-S) \cup(S-R)]$$R \cup S=(R \cap S)-[(R-S) \cup(S-R)]$$R \cap S=(R \cup S)-[(R-S) \cap(S-R)]$$R \cap S=(R \...

GO Classes

50 views

GO Classes asked Apr 10

3 votes

1 answer

75

GO Classes CS 2025 | Weekly Quiz 5 | Set Theory | Question: 7
Let $A$ and $B$ be sets in a finite universal set $U$. Given the following : $|A-B|,|A \oplus B|,|A|+|B|$, and $|A \cup B|$ Which of the following is in order of increasing size ? $|A-B|<|A \oplus B|<|A|+|B|<|A \cup B|$ ... $|A-B|<|A \oplus B|<|A \cup B|<|A|+|B|$

Let $A$ and $B$ be sets in a finite universal set $U$. Given the following : $|A-B|,|A \oplus B|,|A|+|B|$, and $|A \cup B|$ Which of the following is in order of increasi...

GO Classes

88 views

GO Classes asked Apr 10

5 votes

1 answer

76

GO Classes CS 2025 | Weekly Quiz 5 | Set Theory | Question: 8
Let $A=\{0,1\} \times\{0,1\}$ and $B=\{a, b, c\}$. Suppose $A$ is listed in lexicographic order based on $0<1$ and $B$ is in alphabetic order. If $A \times B \times A$ is listed in lexicographic order, then the next element after $((1,0), c,(1,1))$ is $((1,0), a,(0,0))$ $((1,1), c,(0,0))$ $((1,1), a,(0,0))$ $((1,1), a,(1,1))$

Let $A=\{0,1\} \times\{0,1\}$ and $B=\{a, b, c\}$. Suppose $A$ is listed in lexicographic order based on $0<1$ and $B$ is in alphabetic order. If $A \times B \times A$ is...

GO Classes

96 views

GO Classes asked Apr 10

3 votes

0 answers

77

GO Classes CS 2025 | Weekly Quiz 5 | Set Theory | Question: 9
Which of the following statements is $\textbf{TRUE}$? For all sets $A, B$, and $C, A-(B-C)=(A-B)-C$. For all sets $A, B$, and $C,(A-B) \cap(C-B)=(A \cap C)-B$. For all sets $A, B$, and $C,(A-B) \cap(C-B)=A-(B \cup C)$. For all sets $A, B$, and $C$, if $A \cap C=B \cap C$ then $A=B$.

Which of the following statements is $\textbf{TRUE}$?For all sets $A, B$, and $C, A-(B-C)=(A-B)-C$.For all sets $A, B$, and $C,(A-B) \cap(C-B)=(A \cap C)-B$.For all sets ...

GO Classes

67 views

GO Classes asked Apr 10

1 votes

0 answers

78

GO Classes CS 2025 | Weekly Quiz 5 | Set Theory | Question: 10
Which of the following statements is $\textbf{FALSE}$? $C-(B \cup A)=(C-B)-A$ $A-(C \cup B)=(A-B)-C$ $B-(A \cup C)=(B-C)-A$ $A-(B \cup C)=(B-C)-A$

Which of the following statements is $\textbf{FALSE}$?$C-(B \cup A)=(C-B)-A$$A-(C \cup B)=(A-B)-C$$B-(A \cup C)=(B-C)-A$$A-(B \cup C)=(B-C)-A$

GO Classes

58 views

GO Classes asked Apr 10

0 votes

0 answers

79

gate 2024
hello,my gate AIR is 645 and my category is OBC-NCL and my brach is CSE so my question is which top iits can i get at this score??

hello,my gate AIR is 645 and my category is OBC-NCL and my brach is CSE so my question is which top iits can i get at this score??

Viraj2412

73 views

Viraj2412 asked Apr 10

0 votes

0 answers

80

A/an ________ algorithm ensures no starvation. a. Altruistic b. Lock-free c.Test and set d.Compare and set

Mujahid s

31 views

Mujahid s asked Apr 10

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