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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 39
Consider a matrix $\left[\begin{array}{lll}0 & 1 & 0 \\ a & 2 & d \\ b & 3 & c\end{array}\right]$. The matrix cannot have rank. $0$ $1$ $2$ $3$
Consider a matrix $\left[\begin{array}{lll}0 & 1 & 0 \\ a & 2 & d \\ b & 3 & c\end{array}\right]$. The matrix cannot have rank.$0$$1$$2$$3$
1 answer
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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 34
The function $f(x)=1+2 x+3 x^{2}+\cdots+2026 x^{2025}$. Which of the following statement is true? $f(x)$ has global minimum $f(x)$ has global maximum $f(x)$ does not have global minimum None of the above
The function $f(x)=1+2 x+3 x^{2}+\cdots+2026 x^{2025}$. Which of the following statement is true?$f(x)$ has global minimum$f(x)$ has global maximum$f(x)$ does not have gl...
1 answer
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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 36
Consider the following joint distribution of random variables $\mathrm{X}$ and $\mathrm{Y}$ ... $\mathrm{X}$ is $1$. The mean of $\mathrm{Y}$ is $0.5$.
Consider the following joint distribution of random variables $\mathrm{X}$ and $\mathrm{Y}$: $f(x, y)=\left\{\begin{array}{cl}\frac{x\left(1+3 y^2\right)}{4}, & 0 \leq x ...
2 answers
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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 9
For two events $\text{A}$ and $\text{B}$, $\text{B}$ $\subset$ $\text{A}$ Which of the following statement is correct? $P(B \mid A) \geq P(B)$ $P(B \mid A) \leq P(B)$ $P(A \mid B)<1$ $P(A \mid B)=0$
For two events $\text{A}$ and $\text{B}$, $\text{B}$ $\subset$ $\text{A}$ Which of the following statement is correct?$P(B \mid A) \geq P(B)$ $P(B \mid A) \leq P(B)$$P(A ...
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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 8
Given $\mathrm{n}$ indistinguishable particles and $m(>n)$ distinguishable boxes, we place at random each particle in one of the boxes. The probability that in $\mathrm{n}$ ... $\frac{1}{m^{n}}$ $\frac{1}{m}$
Given $\mathrm{n}$ indistinguishable particles and $m(>n)$ distinguishable boxes, we place at random each particle in one of the boxes. The probability that in $\mathrm{n...
2 answers
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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 25
Two eigenvalues of $3 \times 3$ matrix $\mathbf{X}$ are $(1+i)$ and $2$. The determinant of the text matrix $\mathrm{X}$ is __________.
Two eigenvalues of $3 \times 3$ matrix $\mathbf{X}$ are $(1+i)$ and $2$. The determinant of the text matrix $\mathrm{X}$ is __________.
3 answers
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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 48
Consider the matrix $\mathbf{X}$ whose eigenvalues are $1,-1$ and $3$. Then Trace of $\mathbf{X}^{3}-3 \mathbf{X}^{2}$ is __________.
Consider the matrix $\mathbf{X}$ whose eigenvalues are $1,-1$ and $3$. Then Trace of $\mathbf{X}^{3}-3 \mathbf{X}^{2}$ is __________.
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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 2
Given $3$ literals $\text{A, B}$, and $\text{C}$, how many models are there for the sentence $\text{A $\vee$ $\neg$ B $\vee$ C}$ ?
Given $3$ literals $\text{A, B}$, and $\text{C}$, how many models are there for the sentence $\text{A $\vee$ $\neg$ B $\vee$ C}$ ?
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Combinatorics : Distinct objects and Distinct boxes
How many ways are there to Distribute 7 distinct objects to 3 Distinct boxes and No box should be Empty Any box can be Empty
How many ways are there to Distribute 7 distinct objects to 3 Distinct boxes andNo box should be EmptyAny box can be Empty
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logic
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Test Series
If the answer is option C shouldn't 'B' be "2's complement of 0011"?
If the answer is option C shouldn't 'B' be "2's complement of 0011"?
3 answers
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GATE CSE 2005 | Question: 49
What are the eigenvalues of the following $2\times 2$ matrix? $\left( \begin{array}{cc} 2 & -1\\ -4 & 5\end{array}\right)$ $-1$ and $1$ $1$ and $6$ $2$ and $5$ $4$ and $-1$
What are the eigenvalues of the following $2\times 2$ matrix? $$\left( \begin{array}{cc} 2 & -1\\ -4 & 5\end{array}\right)$$$-1$ and $1$$1$ and $6$$2$ and $5$$4$ and $-1$...
3 answers
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GATE CSE 2002 | Question: 1.1
The rank of the matrix $\begin{bmatrix} 1 & 1 \\ 0 & 0 \end{bmatrix}$ is $4$ $2$ $1$ $0$
The rank of the matrix $\begin{bmatrix} 1 & 1 \\ 0 & 0 \end{bmatrix}$ is$4$$2$$1$$0$
1 answer
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PhD Entrance Test
Consider all 6-digit numbers of the form abccba where b is odd. Determine the number of all such 6-digit numbers that are divisible by 7.
Consider all 6-digit numbers of the form abccba where b is odd. Determine the number of all such 6-digit numbers that are divisible by 7.
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GATE IT 2004 | Question: 64
A process executes the following segment of code : for(i = 1; i <= n; i++) fork (); The number of new processes created is $n$ $((n(n + 1))/2)$ $2^n - 1$ $3^n - 1$
A process executes the following segment of code :for(i = 1; i <= n; i++) fork ();The number of new processes created is$n$$((n(n + 1))/2)$$2^n - 1$$3^n - 1$