# Recent questions and answers in Others 1
Data Mining can be used as _________ Tool. Software Hardware Research Process
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If $f(x,y)=x^{3}y+e^{x},$ the partial derivatives, $\dfrac{\partial f}{\partial x},\dfrac{\partial f}{\partial y}$ are $3x^{2}y+1, \: x^{3}+1$ $3x^{2}y+e^{x}, \: x^{3}$ $x^{3}y+xe^{x}, \: x^{3}+e^{x}$ $2x^{2}y+\dfrac{e^{x}}{x}$
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Let $n$ be a positive real number and $p$ be a positive integer. Which of the following inequalities is true? $n^p > \frac{(n+1)^{p+1} – n^{p+1}}{p+1}$ $n^p < \frac{(n+1)^{p+1} – n^{p+1}}{p+1}$ $(n+1)^p < \frac{(n+1)^{p+1} – n^{p+1}}{p+1}$ none of the above
1 vote
4
Let $A_{\alpha_0}$ denotes the $\alpha$-cut of a fuzzy set $A$ at $\alpha_0$. If $\alpha_1 < \alpha_2$, then $A_{\alpha_1} \supseteq A_{\alpha_2}$ $A_{\alpha_1} \supset A_{\alpha_2}$ $A_{\alpha_1} \subseteq A_{\alpha_2}$ $A_{\alpha_1} \subset A_{\alpha_2}$
1 vote
5
How many wires are threaded through the cores in a coincident-current core memory? $2$ $3$ $4$ $6$
1 vote
6
While solving the differential equation $\frac{d^2 y}{dx^2} +4y = \tan 2x$ by the method of variation of parameters, then value of Wronskion (W) is: $1$ $2$ $3$ $4$
1 vote
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If $y=f(x)$, in the interval $[a,b]$ is rotated about the $x$-axis, the Volume of the solid of revolution is $(f’(x)=dy/dx)$ $\int_{a}^{b} \pi [f(x)]^{2} dx \\$ $\int_{a}^{b}[f(x)]^{3} dx \\$ $\int_{a}^{b} \pi [{f}'(x)]^{2} dx \\$ $\int_{a}^{b} \pi^{2} f(x)dx \\$
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The area under the curve $y(x)=3e^{-5x}$ from $x=0 \text{ to } x=\infty$ is $\dfrac{3}{5}$ $\dfrac{-3}{5}$ ${5}$ $\dfrac{5}{3}$
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Find the area bounded by the curve $y=\sqrt{5-x^{2}}$ and $y=\mid x-1 \mid$ $\dfrac{2}{0}(2\sqrt{6}-\sqrt{3})-\dfrac{5}{2}$ $\dfrac{2}{3}(6\sqrt{6}+3\sqrt{3})+\dfrac{5}{2}$ $2(\sqrt{6}-\sqrt{3})-5$ $\dfrac{2}{3}(\sqrt{6}-\sqrt{3})+5$
10
The equation of the plane through the point $(-1,3,2)$ and perpendicular to each of the planes $x+2y+3z=5$ and $3x+3y+z=0$ is $7x-8y+3z+25=0$ $7x+8y+3z+25=0$ $7x-8y+3z-25=0$ $7x-8y-3z-25=0$
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Find the volume of the solid obtained by rotating the region bound by the curves $y=x^3+1, \: x=1$, and $y=0$ about the $x$-axis $\dfrac{23\pi}{7} \\$ $\dfrac{16\pi}{7} \\$ $2\pi \\$ $\dfrac{19\pi}{7}$
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Link analysis operation in data mining uses ___________ technique. Classification. Association discovery. Visualisation. Neural clustering.
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The maximum size of SMS in $IS-95$ is ______ octets. $120$ $95$ $128$ $64$
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In what module multiple instances of execution will yield the same result even if one instance has not terminated before the next one has begun? Non reusable module Serially usable Re-enterable module Recursive module
15
Identify the incorrect statement : The internet has evolved into phenomenally successful e-commerce engine e-business is synonymous with e-commerce The e-commerce model $B2C$ did not begin with billboardware The e-commerce model $G2C$ began with billboardware
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Identify the incorrect statement : ATM provides both real time and non-real time service ATM provides faster packet switching than $X.25$ ATM was developed as part of the work on broadband ISDN ATM does not have application in Non-ISDN environments where very high data rates are required
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The term $hacker$ was originally associated with : A computer program Virus Computer professionals who solved complex computer problems All of the above
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Baud rate measures the number of ____ transmitted per second Symbols Bits Byte None of these
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The solution of the differential equation $(1 + x^2y^2)ydx + (x^2y^2 − 1)xdy = 0$ is $xy = \log\ x − \log\ y + C$ $xy = \log\ y − \log\ x + C$ $x^2y^2 = 2(\log\ x − \log\ y) + C$ $x^2y^2 = 2(\log\ y − \log\ x) + C$
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If $x(t)$ is a solution of $(1-t^2) dx -tx\: dt =dt$ and $x(0)=1$, then $x\big(\frac{1}{2}\big)$ is equal to $\frac{2}{\sqrt{3}} (\frac{\pi}{6}+1)$ $\frac{2}{\sqrt{3}} (\frac{\pi}{6}-1)$ $\frac{\pi}{3 \sqrt{3}}$ $\frac{\pi}{\sqrt{3}}$
21
The differential equation of all the ellipses centred at the origin is $y^2+x(y’)^2-yy’=0$ $xyy’’ +x(y’)^2 -yy’=0$ $yy’’+x(y’)^2-xy’=0$ none of these
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In an ellipse, the distance between its foci is $6$ and its minor axis is $8$. hen its eccentricity is $\frac{4}{5}$ $\frac{1}{\sqrt{52}}$ $\frac{3}{5}$ $\frac{1}{2}$
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The differential equation of the system of circles touching the $y$-axis at the origin is $x^2+y^2-2xy \frac{dy}{dx}=0$ $x^2+y^2+2xy \frac{dy}{dx}=0$ $x^2-y^2-2xy \frac{dy}{dx}=0$ $x^2-y^2+2xy \frac{dy}{dx}=0$
24
Let $w=\log(u^2 +v^2)$ where $u=e^{(x^2+y)}$ and $v=e^{(x+y^2)}$. Then $\frac{\partial w }{\partial x} \mid _{x=0, y=0}$ is $0$ $1$ $2$ $4$
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The equation $5x^2+9y^2+10x-36y-4=0$ represents an ellipse with the coordinates of foci being $(\pm3,0)$ a hyperbola with the coordinates of foci being $(\pm3,0)$ an ellipse with the coordinates of foci being $(\pm2,0)$ a hyperbola with the coordinates of foci being $(\pm2,0)$
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When n-type semiconductor is heated? number of electrons increases while that of holes decreases number of holes increases while that of electrons decreases number of electrons and holes remain the same number of electron and holes increases equally
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ln neural network, the network capacity is defined as: The traffic (tarry capacity of the network The total number of nodes in the network The number of patterns that can be stored and recalled in a network None of the above
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The following multithreaded algorithm computes transpose of a matrix in parallel : $\mathrm P$ Trans $\mathrm{(X,Y,N)}$ if $\mathrm {N=1}$ then $\mathrm {Y[1,1] \leftarrow X[1,1]}$ else partition $\mathrm X$ into four $\mathrm {(N/2) \times (N/2)}$ ... $\mathrm{4) T_1/ T_\infty \; or \; \theta (\lg N/N)}$
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Let the population of chromosomes in genetic algorithm is represented in terms of binary number. The strength of fitness of a chromosome in decimal form x, is given by S f(x) = f(x)/Σf(x) where f(x) = x^2 The population is given by P Where : P = {(01101 , (11000),(01000),(10011)} The strength of fitness of chromosomes (11000) is ___________ 1) 24 2) 576 3) 14.4 4) 49.2
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A doubly linked list is declared as: struct Node { int Value; struct Node *Fwd; struct Node *Bwd; }; Where Fwd and Bwd represent forward and backward link to the adjacent elements of the list. Which of the following segment of code deletes the node pointed to by $X$ ... Fwd.Bwd = X.Bwd; X$\rightarrow$Bwd$\rightarrow$Fwd = X$\rightarrow$Bwd; X$\rightarrow$Fwd$\rightarrow$Bwd = X$\rightarrow$Fwd;
31
Let $\begin{array}{} V_1 & = & \frac{7^2+8^2+15^2+23^2}{4} – \left( \frac{7+8+15+23}{4} \right) ^2, \\ V_2 & = & \frac{6^2+8^2+15^2+24^2}{4} – \left( \frac{6+8+15+24}{4} \right) ^2 , \\ V_3 & = & \frac{5^2+8^2+15^2+25^2}{4} – \left( \frac{5+8+15+25}{4} \right) ^2 . \end{array}$ Then $V_3<V_2<V_1$ $V_3<V_1<V_2$ $V_1<V_2<V_3$ $V_2<V_3<V_1$
1 vote
32
The following LLP $\text{Maximize } z=100x_1 +2x_2+5x_3$ Subject to $14x_1+x_2-6x_33+3x_4=7$ $32x_1+x_2-12x_3 \leq 10$ $3x_1-x_2-x_3 \leq 0$ $x_1, x_2, x_3, x_4 \geq 0$ has Solution : $x_1=100, \: x_2=0, \: x_3=0$ Unbounded solution No solution Solution : $x_1=50, \: x_2=70, \: x_3=60$
33
If the distance between the foci of a hyperbola is $16$ and its eccentricity is $\sqrt{2}$, then the equation of the hyperbola is $y^2-x^2=32$ $x^2-y^2=16$ $y^2-x^2=16$ $x^2-y^2=32$
34
Let $f(x) = \dfrac{x}{(x-1)(2x+3)}$, where $x>1$. Then the $4^{th}$ derivative of $f, \: f^{(4)} (x)$ is equal to $- \frac{24}{5} \bigg[ \frac{1}{(x-1)^5} – \frac{48}{(2x+3)^5} \bigg]$ $\frac{24}{5} \bigg[ – \frac{1}{(x-1)^5} + \frac{48}{(2x-3)^5} \bigg]$ $\frac{24}{5} \bigg[ \frac{1}{(x-1)^5} + \frac{48}{(2x+3)^5} \bigg]$ $\frac{64}{5} \bigg[ \frac{1}{(x-1)^5} + \frac{48}{(2x+3)^5} \bigg]$
1 vote
35
If $0 <x<1$, then the sum of the infinite series $\frac{1}{2}x^2+\frac{2}{3}x^3+\frac{3}{4}x^4+ \cdots$ is $\log \frac{1+x}{1-x}$ $\frac{x}{1-x} + \log(1+x)$ $\frac{1}{1-x} + \log(1-x)$ $\frac{x}{1-x} + \log(1-x)$
1 vote
36
If a focal chord of the parabola $y^2=4ax$ cuts it at two distinct points $(x_1,y_1)$ and $(x_2,y_2)$, then $x_1x_2=a^2$ $y_1y_2=a^2$ $x_1x_2^2=a^2$ $x_1^2x_2=a^2$
37
Let the following two equations represent two curves $A$ and $B$. $A: 16x^2+9y^2=144\:\: \text{and}\:\: B:x^2+y^2-10x=-21$ Further, let $L$ and $M$ be the tangents to these curves $A$ and $B$, respectively, at the point $(3,0)$. Then the angle between these two tangents, $L$ and $M$, is $0^{\circ}$ $30^{\circ}$ $45^{\circ}$ $90^{\circ}$
1 vote
Let $\omega$ denote a complex fifth root of unity. Define $b_k =\sum_{j=0}^{4} j \omega^{-kj},$ for $0 \leq k \leq 4$. Then $\sum_{k=0}^{4} b_k \omega ^k$ is equal to $5$ $5 \omega$ $5(1+\omega)$ $0$
$x^4-3x^2+2x^2y^2-3y^2+y^4+2=0$ represents A pair of circles having the same radius A circle and an ellipse A pair of circles having different radii none of the above
Let $\{a_n\}$ be a sequence of non-negative real numbers such that the series $\Sigma_{n=1}^{\infty} a_n$ is convergent. If $p$ is a real number such that the series $\Sigma \frac{\sqrt{a_n}}{n^p}$ diverges, then $p$ must be strictly less than $\frac{1}{2}$ $p$ must be ... $1$ but can be greater than$\frac{1}{2}$ $p$ must be strictly less than $1$ but can be greater than or equal to $\frac{1}{2}$