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Choose the word most similar in meaning to the given word:EduceExertEducateExtractExtend
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Operators $\square$ , $\lozenge$ and ${\rightarrow}$ are defined by: $a\:\square \:b=\frac{a-b}{a+b}; \:a\:\lozenge \:b=\frac{a+b}{a-b};\:a\rightarrow b=ab.$ Find the val...
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If $\log_{x}$ $(5/7)=-1/3$, then the value of $x$ is$343/125$$125/343$$-25/49$$-49/25$
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The following question presents a sentence, part of which is underlined. Beneath the sentence you find four ways of phrasing the underlined part. Following the requiremen...
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Read the following paragraph and choose the correct statement.Climate change has reduced human security and threatened human well being. An ignored reality of human progr...
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A cube of side $3$ units is formed using a set smaller cubes of side $1$ unit. Find the proportion of the number of faces of the smaller cubes visible to those which are ...
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Humpty Dumpty sits on a wall every day while having launch. The wall sometimes breaks. A person sitting on the wall falls if the wall breaks.Which one of the statements b...
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The following set of the three vectors$$\begin{pmatrix} 1\\2\\1 \end{pmatrix}, \begin{pmatrix} x\\6\\x \end{pmatrix}\:and \:\begin{pmatrix} 3\\4 \\2 \end{pmatrix},$$is li...
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For the matrix $\begin{pmatrix} 4 & 3\\ 3& 4 \end{pmatrix}$, if $\begin{pmatrix} 1\\ 1 \end{pmatrix}$ is an eigenvector, the corresponding eigenvalue is __________ .
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Consider a linear ordinary differential equation: $\frac{dy}{dx}+p\left ( x \right )y=r\left ( x \right )$. Functions $p\left ( x \right )$ and $r\left ( x \right )$ are...
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A complex-valued function, $f(z)$, given below is analytic in domain $D$:$$f\left ( z \right )=u\left ( x,y\right )+i\nu \left ( x,y\right )\:\:\:\:\:\:\:z=x+iy$$Which of...
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A scalar function in the $xy$-plane is given by $\phi \left ( x,y \right )=x^{2}+y^{2}$. If $\hat{i}$ and $\hat{j}$ are unit vectors in the $x$ and $y$ directions, the d...
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For a pure liquid, the rate of change of vapour pressure with temperature is $0.1$ bar/$K$ in the temperature range of $300$ to $350\:K$. If the boiling point of the liqu...
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Three identical closed systems of a pure gas are taken from an initial temperature and pressure $(T_{1},P_{1})$ to a final state $(T_{2},P_{2})$, each by a different path...
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For a gas phase cracking reaction $A{\rightarrow}B+C$ at $300^{\circ}$, the Gibbs free energy of the reaction at this temperature is $\Delta G^{\circ}=-2750$ $J$/mol. The...
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If $v,\:u,\:s$ and $g$ represent respectively the molar volume, molar internal energy, molar entropy and molar Gibbs free energy, then match the entries in the left and r...
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Two different liquids are flowing through different pipes of the same diameter. In the first pipe, the flow is laminar with centerline velocity, $V_{max,1}$, whereas in t...
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For uniform laminar flow over a flat plate, the thickness of the boundary layer, $\delta$ at a distance $x$ from the leading edge of the plate follows the reaction :$\del...
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A cylindrical packed bed of height $1\:m$ is filled with equal sized spherical particles. The particles are nonporous and have a density of $1500$ kg/$m^{3}$. The void fr...
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Two infinitely large parallel plates ($I$ and $II$) are held at temperatures $T_{I}$ and $T_{II}$ $(T_{I}>T_{II})$ respectively, and placed at a distance $2d$ apart in va...
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For a binary mixture of components $A$ and $B$, $N_{A}$ and $N_{B}$ denote the total molar fluxes of components $A$ and $B$, respectively. $J_{A}$ and $J_{B}$ are the cor...
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Benzene is removed from air by absorbing it n a non-volatile wash-oil at $100$ $kPa$ in a counter- current gas absorber. Gas flow rate is $100$ mol/min , which includes $...
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A spherical naphthalene ball of $2\:mm$ diameter is subliming very slowly in stagnant air at $25^{\circ}C$. The change in the size of the ball during the sublimation can ...
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Which of the following can change if only the catalyst is changed for a reaction system?Enthalpy of reactionActivation energyFree energy of the reactionEquilibrium consta...
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For which reaction order, the half-Iife of the reactant is half of the full lifetime (time for $100 \%$ conversion) of the reactant ?Zero orderHalf orderFirst orderSecond...
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An irreversible, homogeneous reaction $A{\rightarrow}$ products, has the rate expression:Rate = $\frac{2C_{A}^{2}+0.1C_{A}}{1+50C_{A}}$, where $C_{A}$ is the concentratio...
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Match the output signals as obtained from four measuring devices in response to a unit step change in the input signal.$\begin{array}{cc}\&\text{P. Gas chromatograph, wit...
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The transfer function for the disturbance response in an open-loop process is given by $G_{d}^{open}(s)$. The corresponding transfer function for the disturbance response...
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Identify the $WRONG$ statement amongst the following:Steam distillation is used for mixtures that are immiscible with water.Vacuum distillation is used for mixtures that ...
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Match the polymer mentioned on the left with the catalyst used for its manufacture given on the right.$\begin{array}{cc}\&\text{I. Low density Polyethylene} & \text{P. Zi...
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Match the technologies in Group-$1$ with the entries in Group-$2$:$\begin{array}{cc}\&\text{$Group-1$} & \text{$Group-2$} \\ &\text{P. Urea manufacture} & \text{ I. Micro...
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Match the chemicals written on the left with the raw materials required to produce them mentioned on the right.$\begin{array}{cc}\&\text{I. Single Superphosephate $(SSP)$...
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The diameters of sand particles in a sample range from $50$ to $150$ microns. The number of particles of diameter x in the sample is proportional to $\frac{1}{50+x}$. The...
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A vector $u=-2y\hat{i}+2x\hat{j}$, where $\hat{i}$ and $\hat{j}$ are unit vectors in $x$ and $y$ directions, respectively. Evaluate the line integral$$I=\oint _{C}u.dr$$w...
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The solution of the non-linear equation$$x^{3}-x=0$$is to be obtained using Newton-Raphson method. If the initial guess is $x=0.5$, the method converges to which one of t...
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For complex variable $z$, the value of the contour integral $\frac{1}{2\pi i} \underset{C}{\int }\frac{e^{-2z}}{z(z-3)}dz$ along the clockwise contour $C:\left | z \right...
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The schematic diagram of a steady state process is shown below. The fresh feed $(F)$ to the reactor consists ot $96$ mol$\%$ reactant $A$ and $4$ mol$\%$ inert $I$. The s...
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An ideal gas is initially at a pressure of $0.1\:MPa$ and a total volume of $2\:m^{3}$. It is first compressed to $1\:MPa$ by a reversible adiabatic process and then cool...
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Given that molar residual Gibbs free energy, $g^{R}$, and molar residual volume, $v^{R}$, are related as $\frac{g^{R}}{RT}=\int _{0}^{P}\left ( \frac{v^{R}}{RT} \right )d...