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3 votes
1 answer
8901
symmetric matrix
Let $A =\begin{bmatrix} P & Q\\ R & Q\ \end{bmatrix}$. If $P,Q,R$ and $S$ are symmetric , What can you say about $A$?
Let $A =\begin{bmatrix} P & Q\\ R & Q\ \end{bmatrix}$. If $P,Q,R$ and $S$ are symmetric , What can you say about $A$?
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12 votes
4 answers
8902
TIFR CSE 2011 | Part A | Question: 14
The limit $\lim_{x \to 0} \frac{d}{dx}\,\frac{\sin^2 x}{x}$ is $0$ $2$ $1$ $\frac{1}{2}$ None of the above
The limit $$\lim_{x \to 0} \frac{d}{dx}\,\frac{\sin^2 x}{x}$$ is$0$$2$$1$$\frac{1}{2}$None of the above
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10 votes
3 answers
8904
TIFR CSE 2011 | Part A | Question: 11
$\int_{0}^{1} \log_e(x) dx=$ $1$ $-1$ $\infty $ $-\infty $ None of the above
$$\int_{0}^{1} \log_e(x) dx=$$$1$$-1$$\infty $$-\infty $None of the above
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1 votes
0 answers
8905
Graph
Find Maximum and Minimum no of edges in a graph G with n vertices if G has 3 component with 2 non acyclic and 1 acyclic component?
Find Maximum and Minimum no of edges in a graph G with n vertices if G has 3 component with 2 non acyclic and 1 acyclic component?
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21 votes
3 answers
8906
TIFR CSE 2011 | Part A | Question: 10
Let $m$, $n$ denote two integers from the set $\{1, 2,\dots,10\}$. The number of ordered pairs $\left ( m, n \right )$ such that $2^{m}+2^{n}$ is divisible by $5$ is. $10$ $14$ $24$ $8$ None of the above
Let $m$, $n$ denote two integers from the set $\{1, 2,\dots,10\}$. The number of ordered pairs $\left ( m, n \right )$ such that $2^{m}+2^{n}$ is divisible by $5$ is.$10$...
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14 votes
1 answer
8908
TIFR CSE 2011 | Part A | Question: 7
Let $X$ and $Y$ be two independent and identically distributed random variables. Then $P\left ( X> Y \right )$ is. $\frac{1}{2}$ 1 0 $\frac{1}{3}$ Information is insufficient.
Let $X$ and $Y$ be two independent and identically distributed random variables. Then $P\left ( X Y \right )$ is.$\frac{1}{2}$10$\frac{1}{3}$Information is insufficient.
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19 votes
4 answers
8909
TIFR CSE 2011 | Part A | Question: 6
Assume that you are flipping a fair coin, i.e. probability of heads or tails is equal. Then the expected number of coin flips required to obtain two consecutive heads for the first time is. $4$ $3$ $6$ $10$ $5$
Assume that you are flipping a fair coin, i.e. probability of heads or tails is equal. Then the expected number of coin flips required to obtain two consecutive heads for...
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10 votes
2 answers
8910
TIFR CSE 2011 | Part A | Question: 4
Consider the problem of maximizing $x^{2}-2x+5$ such that $0< x< 2$. The value of $x$ at which the maximum is achieved is: $0.5$ $1$ $1.5$ $1.75$ None of the above
Consider the problem of maximizing $x^{2}-2x+5$ such that $0< x< 2$. The value of $x$ at which the maximum is achieved is:$0.5$$1$$1.5$$1.75$None of the above
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14 votes
4 answers
8911
TIFR CSE 2011 | Part A | Question: 3
The probability of three consecutive heads in four tosses of a fair coin is $\left(\dfrac{1}{4}\right)$ $\left(\dfrac{1}{8}\right)$ $\left(\dfrac{1}{16}\right)$ $\left(\dfrac{3}{16}\right)$ None of the above
The probability of three consecutive heads in four tosses of a fair coin is$\left(\dfrac{1}{4}\right)$$\left(\dfrac{1}{8}\right)$$\left(\dfrac{1}{16}\right)$$\left(\dfrac...
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13 votes
2 answers
8913
TIFR CSE 2011 | Part A | Question: 2
In how many ways can the letters of the word $\text{ABACUS}$ be rearranged such that the vowels always appear together? $\dfrac{(6+3)!}{2!}$ $\dfrac{6!}{2!}$ $\dfrac{3!3!}{2!}$ $\dfrac{4!3!}{2!}$ None of the above
In how many ways can the letters of the word $\text{ABACUS}$ be rearranged such that the vowels always appear together?$\dfrac{(6+3)!}{2!}$ $\dfrac{6!}{2!}$ $\dfrac{3!3!}...
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7 votes
1 answer
8914
TIFR2010-Maths-B-14
The equations. $x_{1}+2x_{2}+3x_{3}=1$ $x_{1}+4x_{2}+9x_{3}=1$ $x_{1}+8x_{2}+27x_{3}=1$ have Only one solution Two solutions Infinitely many solutions No solutions
The equations.$x_{1}+2x_{2}+3x_{3}=1$$x_{1}+4x_{2}+9x_{3}=1$$x_{1}+8x_{2}+27x_{3}=1$haveOnly one solutionTwo solutionsInfinitely many solutionsNo solutions
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2 votes
1 answer
8915
TIFR2010-Maths-B-13
Define $\left \{ x_{n} \right \}$ as $x_{1}=0.1,x_{2}=0.101,x_{3}=0.101001,\dots$ Then the sequence $\left \{ x_{n} \right \}$. Converges to a rational number Converges to a irrational number Does not coverage Oscillates
Define $\left \{ x_{n} \right \}$ as $x_{1}=0.1,x_{2}=0.101,x_{3}=0.101001,\dots$ Then the sequence $\left \{ x_{n} \right \}$.Converges to a rational numberConverges to ...
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1 votes
0 answers
8916
Calculus
https://gateoverflow.in/?qa=blob&qa_blobid=11477564903327944491
https://gateoverflow.in/?qa=blob&qa_blobid=11477564903327944491
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1 votes
2 answers
8917
probability
a fair coin is tossed 10 times ,wt is the probability that head will come up in first two toss of coin??
a fair coin is tossed 10 times ,wt is the probability that head will come up in first two toss of coin??
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3 votes
1 answer
8919
TIFR2010-Maths-B-10
Let $x$ and $y \in \mathbb{R}^{n}$ be non-zero column vectors, from the matrix $A=xy^{T}$, where $y^{T}$ is the transpose of $y$. Then the rank of $A$ is: $2$ $0$ At least $n/2$ None of the above
Let $x$ and $y \in \mathbb{R}^{n}$ be non-zero column vectors, from the matrix $A=xy^{T}$, where $y^{T}$ is the transpose of $y$. Then the rank of $A$ is:$2$$0$At least $...
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1 votes
0 answers
8920
How many nonisomorphic simple graphs are there with n vertices, when n is a) 2? b) 3? c) 4?
I am unable to get this logic since in both of these algorithms we need to have a record of future requirement of the processes so then why is it that resource allocation graph algorithm is more efficient ?
I am unable to get this logic since in both of these algorithms we need to have a record of future requirement of the processes so then why is it that resource allocation...
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