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21 votes
2 answers
8981
GATE CSE 2015 Set 1 | Question: 44
Compute the value of: $ \large \int \limits_{\frac{1}{\pi}}^{\frac{2}{\pi}}\frac{\cos(1/x)}{x^{2}}dx$
Compute the value of:$$ \large \int \limits_{\frac{1}{\pi}}^{\frac{2}{\pi}}\frac{\cos(1/x)}{x^{2}}dx$$
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32 votes
5 answers
8988
GATE CSE 2015 Set 1 | Question: 1‏8
In the LU decomposition of the matrix $\begin{bmatrix}2 & 2 \\ 4 & 9\end{bmatrix}$, if the diagonal elements of $U$ are both $1$, then the lower diagonal entry $l_{22}$ of $L$ is_________________.
In the LU decomposition of the matrix $\begin{bmatrix}2 & 2 \\ 4 & 9\end{bmatrix}$, if the diagonal elements of $U$ are both $1$, then the lower diagonal entry $l_{22}$ o...
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25 votes
2 answers
8990
GATE CSE 2015 Set 1 | Question: 28
The binary operator $\neq$ ... about the binary operator $\neq$ ? Both commutative and associative Commutative but not associative Not commutative but associative Neither commutative nor associative
The binary operator $\neq$ is defined by the following truth table.$$\begin{array}{|l|l|l|} \hline \textbf{p} & \textbf{q}& \textbf{p} \neq \textbf{q}\\\hline \text{0} & ...
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52 votes
15 answers
8991
GATE CSE 2015 Set 2 | Question: 40
The number of onto functions (surjective functions) from set $X = \{1, 2, 3, 4\}$ to set $Y=\{a,b,c\}$ is ______.
The number of onto functions (surjective functions) from set $X = \{1, 2, 3, 4\}$ to set $Y=\{a,b,c\}$ is ______.
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34 votes
3 answers
8992
GATE CSE 2015 Set 1 | Question: 1‏4
Which one of the following is NOT equivalent to $p ↔ q$? $(\neg p ∨ q) ∧ (p ∨ \neg q)$ $(\neg p ∨ q) ∧ (q → p)$ $(\neg p ∧ q) ∨ ( p ∧ \neg q)$ $(\neg p ∧ \neg q) ∨ (p ∧ q)$
Which one of the following is NOT equivalent to $p ↔ q$?$(\neg p ∨ q) ∧ (p ∨ \neg q)$$(\neg p ∨ q) ∧ (q → p)$$(\neg p ∧ q) ∨ ( p ∧ \neg q)$$(\neg p �...
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28 votes
6 answers
8993
GATE CSE 2015 Set 2 | Question: 28
A graph is self-complementary if it is isomorphic to its complement. For all self-complementary graphs on $n$ vertices, $n$ is A multiple of 4 Even Odd Congruent to 0 $mod$ 4, or, 1 $mod$ 4.
A graph is self-complementary if it is isomorphic to its complement. For all self-complementary graphs on $n$ vertices, $n$ isA multiple of 4EvenOddCongruent to 0 $mod$ 4...
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23 votes
6 answers
8996
GATE CSE 2015 Set 2 | Question: 18
The cardinality of the power set of $\{0, 1, 2, \dots , 10\}$ is _______
The cardinality of the power set of $\{0, 1, 2, \dots , 10\}$ is _______
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23 votes
3 answers
8999
GATE CSE 2015 Set 2 | Question: 5
The larger of the two eigenvalues of the matrix $\begin{bmatrix} 4 & 5 \\ 2 & 1 \end{bmatrix}$ is _______.
The larger of the two eigenvalues of the matrix $\begin{bmatrix} 4 & 5 \\ 2 & 1 \end{bmatrix}$ is _______.
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