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A foundry has a fixed daily cost of Rs $50,000$ whenever it operates and a variable cost of Rs $800Q,$ where $Q$ is the daily production in tonnes. What is the cost of pr...
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If $y=5x^{2}+3,$ then the tangent at $x=0,y=3$passes through $x=0,y=0$has a slope of $+1$is parallel to the $x$-axishas a slope of $-1$
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Rajan was not happy that Sajan decided to do the project on his own. On observing his unhappiness, Sajan explained to Rajan that he preferred to work independently.Which ...
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Choose the most appropriate word from the options given below to complete the following sentence.One of his biggest ______ was his ability to forgive.vicevirtueschoicesst...
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A student is required to demonstrate a high level of comprehension of the subject, especially in the social sciences.The word closest in meaning to comprehension isunders...
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Match the raw materials of Group-$1$ and $2$ with the final products of Group-$3$$$\begin{array}&&\textbf{Group 1} & \textbf{Group 2} & \textbf{Group 3} \\ &\text{P$_{1}$...
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Determine the correctness or otherwise of the following Assertion $[a]$ and Reason $[r]$Assertion: Significant combustion of coke takes place only if it is heated at high...
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Consider the following block diagram for a closed-loop feedback control system A proportional controller is being used with $K_{c}=-4$. If a step change in distrubance of...
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A process with transfer function, $G_{p}=\frac{2}{s-1}$ is to be controlled by a feedback proportional controller with a gain $K_{c}$. If the transfer functions of all ot...
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Consider a binary liquid mixture at equilibrium with its vapour at $25^{\circ}C$.Antoine equation for this system is given as $log_{10}\:p_{t}^{sat}=A-\frac{B}{t+C}$ wher...
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In a steady and incompressible flow of a fluid (density = $1.25\: kg\: m^{-3}$), the difference between stagnation and static pressures at the same location in the flow i...
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Match the following$$\begin{array}&&\textbf{Group I} & \textbf{Group II} \\ &\text{P. Turbulence} & \text{I. Reciprocating pump}\\&\text{Q. $NPSH$} & \text{II. Packed be...
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In a steady incompressible flow, the velocity distribution is given by $\bar{V}=3x\hat{i}-Py\hat{j}+5z\hat{k}$, where, $V$ is in $m/s$ and $x,y$ and $z$ are in $m$. In or...
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The bottom face of a horizontal slab of thickness $6 \:mm$ is maintained at $300^{\circ}C$. The top face is exposed to a flowing gas at $30^{\circ}C$. The thermal conduct...
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Given below is a simplified block diagram of a feedforward control system.The transfer function of the process is $G_{p}=\frac{5}{s+1}$ and the disturbance transfer funct...
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A step change of magnitude $2$ is introduced into a system having the following transfer function$$G\left ( s \right )=\frac{2}{s^{2}+2s+4}$$The percent overshoot is ____...
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A polymer plant with a production capacity of $10,000$ tons per year has an overall yield of $70\%$, on mass basis ($kg$ of product per $kg$ of raw material), The raw mat...
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A cash flow of Rs. $12,000$ per year is received at the end year (uniform periodic payment) for $7$ consecutive years. The rate of interest is $9\%$ per year compounded a...
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Carbon monoxide $(CO)$ is burnt in pressure of $200\%$ excess pure oxygen and the flame temperature achieved is $2298\:K$. The inlet streams are at $25^{\circ}$. The stan...
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Two elemental gases ($A$ and $B$) are reacting to form a liquid ($C$) in a steady state process as per the reaction $A+B{\rightarrow}C$. The single-pass conversion of the...
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Match the following$$\begin{array}&&\textbf{Group I} & \textbf{Group II} \\ &\text{P. Tank in series model} & \text{I. Non-isothermal reaction}\\&\text{Q. Liquid-liquid ...
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An incompressible fluid is flowing through a contraction section of length $L$ and has a $1-D$ ($x$- direction steady state velocity distribution, $u=u_{0}\left ( 1+\frac...
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A vapour phase catalytic reaction $(Q+R{\rightarrow}S)$ follows Rideal mechanism ($R$ and $S$ are not absorbed). Initially, the mixture contains only the reactants in equ...
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A homogenous reaction $(R{\rightarrow}P)$ occurs in a batch reactor. The conversion of the reactant $R$ is $67\%$ after $10$ minutes and $80\%$ after $20$ minutes. The ra...
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A binary distillation column is operating with a mixed feed containing $20$ mol$\%$ vapour. If the feed quality is changed to $80$ mol$\%$ vapour, the change is the slope...
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Which $ONE$ of the following is $CORRECT$ for an ideal gas in a closed system?$\left ( \frac{\partial U}{\partial V} \right )_{s}V=nR\left ( \frac{\partial U}{\partial S}...
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An oil with a flow rate of $1000\:kg/h$ is to be cooled using water in a double-pipe counter-flow heat exchanger from a temperature of $70^{\circ}C$ to $40^{\circ}C$. Wat...
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A brick wall of $20\:cm$ thickness has thermal conductivity of $0.7\:W\:m^{-1}\:K^{-1}$. An insulation of thermal conductivity $0.2\:W\:m^{-1}\:K^{-1}$ is to be applied o...
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A wet solid of $100\:kg$ is dried from a moisture content of $40\:wt\%$ to $10\:wt\%$. The critical moisture content is $15\:wt\%$ and the equilibrium moisture content is...
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A spherical ball of benzoic acid (diameter=$1.5\:cm$) is submerged in a pool of still water. The solubility and diffusively of benzoic acid in water are $0.03$ $k$mol/$m^...
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In rolling of two fair dice, the outcome of an experiments is considered to be the sum of the numbers appearing on the dice. The probability is highest for the outcome of...
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Consider the following two normal distributions$f_{1}\left ( x \right )=exp\left ( -\pi x^{2} \right )$$f_{2}\left ( x \right )=\frac{1}{2 \pi}exp\left \{ -\frac{1}{4\pi ...
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The differential equation $\frac{d^{2}y}{dx^{2}}+x^{2}\frac{dy}{dx}+x^{3}y=e^{x}$ is a non-linear differential equation of first degreelinear differential equation of fir...
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The integrating factor for the differential equation$\frac{dy}{dx}-\frac{y}{1+x}=\left ( 1+x \right )$ is$\frac{1}{1+x}$$(1+x)$$x(1+x)$$\frac{x}{1+x}$
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Consider the following differential equation$\frac{dy}{dx}=x+In\:\left ( y \right ); y=2 \: at \: x=0$The solution of this equation at $x=0.4$ using Euler method with a s...
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Which $ONE$ of the following statements is $CORRECT$?The major components of biodiesel are triglyceridesBiodiesel is essentially a mixture of ethyl estersBiodiesel is hig...
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Catalytic cracking isa hydrogen addition processa carbon rejection processan exothermic processa coking process
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The vessel dispersion number for an ideal $CSTR$ is $-1$$0$$1$$\infty$
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Decomposition efficiency ($\eta _{D}$) of an electrolytic cell used for producing $NaOH$ is defined as ​​​​​​$\eta _{D}$ = (grams of $NaOH$ produced / grams o...
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Steam economy of a multiple effect evaporator system is defined askilogram of steam used per hourkilogram of steam consumed in all the effects for each kilogram of steam ...