Recent questions tagged gate2019

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The expenditure on the project _____ as follows: equipment Rs.$20$ lakhs, salaries Rs.$12$ lakhs, and contingency Rs.$3$ lakhs.break downbreakbreaks downbreaks
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The search engine’s business model ____ around the fulcrum of trust.revolvesplayssinksbursts
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Two cars at the same time from the same location and go in the same direction. The speed of the first car is $50$ km/h and the speed of the second car is $60$ km/h. The n...
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Ten friends planned to share equally the cost of buying a gift for their teacher. When two of them decided not to contribute, each of the other friends had to pay Rs. $15...
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A court is to a judge as _________ is to a teachera studenta punishmenta syllabusa school
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The police arrested four criminals – $P, Q, R$ and $S.$ The criminals knew each other. They made the following statements:$P$ says “Q committed the crime.”$Q$ says ...
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In the given diagram, teachers are represented in the triangle, researchers in the circle and administrators in the rectangle. Out of the total number of the people, the ...
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“A recent High Court judgement has sought to dispel the idea of begging as a disease – which leads to its stigmatization and criminalization – and to regard it as ...
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In a college, there are three student clubs, $60$ students are only in the Drama club, $80$ students are only in the Dance club, $30$ students are only in Maths club, $40...
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Three of the five students are allocated to a hostel put in special requests to the warden, Given the floor plan of the vacant rooms, select the allocation plan that will...
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A system of $n$ homogeneous linear equations containing $n$ unknowns will have non-trivial solutions if and only if the determinant of the coefficient matrix is$1$$-1$$0$...
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The value of the expression $\underset{x\rightarrow \frac{\pi }{2}}{\lim}\: \mid \frac{\tan\:x}{x} \mid $ is $\infty$$0$$1$$-1$
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Consider a rigid, perfectly insulated, container partitioned into two unequal parts by a thin membrane (see figure). One part contains one mole of an ideal gas at pressur...
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For a single component system, vapor (subscript $g$) and liquid (subscript $f$) coexist in mechanical, thermal and phase equilibrium when$u_{g}=u_{f}$ (equality of specif...
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For a binary nonideal $A-B$ mixture exhibiting a minimum boiling azeotrope, the activity coefficients, $\gamma_{i} \left ( i=A, B \right )$, must satisfy$\gamma _{A} 1,\g...
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For a fully-developed turbulent hydrodynamic boundary layer for flow past a flat plate, the thickness of the boundary layer increases with distance $x$ from the leading e...
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Consider a cylinder (diameter $D$ and length $D$), a sphere (diameter $D$) and a cube (side length $D$). Which of the following statements concerning the sphericity $\lef...
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Prandtl number signifies the ratio of$\frac{Momentum \: Diffusivity}{Thermal \: Diffusivity}$$\frac{Mass \: Diffusivity}{Thermal \: Diffusivity}$$\frac{Thermal \: Diffusi...
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Pool boiling equipment operating above ambient temperature is usually designed to operatefar above the critical heat fluxnear the critical heat fluxfar above the Leidenfr...
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The desired liquid-phase reaction$D+E\overset{k_{1}}{\rightarrow}F \:\:\:\:\:\:\:\:\:r_{F}=k_{1}\:C_{D}^{2}\:C_{E}^{0.3}$is accompanied by an undesired side reaction$D+E\...
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For a first order reaction in a porous spherical catalyst pellet, diffiusional effects are most likely to lower the observed rate of reaction for slow reaction in a pell...
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A thermocouple senses temperature based on theNernst Effect Maxwell Effect Seebeck EffectPeltier Effect
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The correct expression for the Colburn $j$-factor for mass transfer that relates Sherwood number ($Sh$), Reynolds number ($Re$) and Schmidt number ($Sc$) is$\frac{Sh}{\le...
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In the drying of non-dissolving solids at constant drying conditions, the internal movement of moisture in the solid has a dominant effect on the drying rate duringthe in...
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Three distillation schemes for separating an equimolar, constant relative volatility $ABC$ mixture into nearly pure components are shown. The usual simplifying assumption...
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Consider the two countercurrent heat exchanger designs for heating a cold stream from $t_{in}$ to $t_{out}$ as shown in figure. The hot process stream is available at $T_...
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Producer gas is obtained bypassing air through red hot cokethermal cracking of naphthapassing steam through red hot cokepassing air and steam through red hot coke
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In Kraft process, the essential chemical reagents used in the digester arecaustic soda, mercaptans and ethylene oxidecaustic soda, sodium sulphide and soda ashquick lime,...
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The most common catalyst used for oxidation of $o$-xylene to phthalic anhydride is$V_{2}O_{5}$$Pd$$Pt$$Ag$
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In petroleum refining operations, the process used for converting paraffins and naphthenes to aromatics isalkylationcatalytic reforminghydrocrackingisomerization
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The combination that correctly matches the polymer in Group-$1$ with the polymerization reaction type in Group-$2$ is $$\begin{array}{lclc}\&\text{Group-1} & &\text{Group...
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The product of the eigenvalues of the matrix $\begin{pmatrix} 2 &3 \\ 0& 7 \end{pmatrix}$ is ____________ (rounded off to one decimal place).
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For a hydraulic lift with dimensions shown in figure, assuming $g=10\:m/s^{2}$, the maximum diameter $D_{left}$ (in $m$) that lifts a vehicle of mass $1000 \:kg$ using a...
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The liquid flow rate through an equal percentage control valve, when fully open, is $150$ gal/min and the corresponding pressure drop is $50$ psi. If the specific gravity...
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Consider a sealed rigid bottle containing $CO_{2}$ and $H_{2}O$ at $10$ bar and ambient temperature. Assume that the gas phase in the bottle is pure $CO_{2}$ and follows ...
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The solution of the ordinary differential equation$\frac{dy}{dx}+3y=1$, subjects to the initial condition $y=1$ at $x=0$, is$\frac{1}{3}\left ( 1+2e^{-x/3} \right )$$\fra...
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The value of the complex number $i^{-1/2}$ (where $i=\sqrt{-1}$) is $\frac{1}{\sqrt{2}}\left ( 1-i \right )$$-\frac{1}{\sqrt{2}}i$$\frac{1}{\sqrt{2}}i$$\frac{1}{\sqrt{2}}...
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If $x,y$ and $z$ are directions in a Cartesian coordinate system and $i$, $j$ and $k$ are the respective unit vectors, the directional derivative of the function $u\left ...
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Two unbiased dice are thrown. Each dice can show any number between $1$ and $6$. The probability that the sum of the outcomes of the two dice is divisible by $4$ is _____...
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The Newton-Raphson method is used to determine the root of the equation $f(x)=e^{-x}-x$. If the initial guess for the root is 0, the estimate of the root after two iterat...