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The open loop transfer function of a process with a proportional controller (gain $K_{C}$) is$$G_{OL}=K_{C}\frac{e^{-2s}}{s}$$Based on the Bode criterion for closed-loop ...
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The characteristics equation of a closed-loop system is$$6s^{3}+11s^{2}+6s+\left ( 1+K \right )=0,\:\:\:\:\:\: where \:K>0$$The value of $K$ beyond which the system just ...
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A bond has a maturity value of $20,000$ Rupees at the end of $4$ years. The interest is compounded at the rate of $5\%$ per year.The initial investment to be made, rounde...
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The total cost $(C_{T})$ of an equipment in terms of the operating variables $x$ and $y$ is$$C_{T}=2x+\frac{12000}{xy}+y+5$$The optimal value of $C_{T}$, rounded to $1$ d...
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Match the equipment in Group-$1$ with the process in Group-$2$$\begin{array}{cc}\&\text{Group-$1$} & \text{Group-$2$} \\ &\text{P. Fluidized bed} & \text{ I. Paper-making...
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The bacteria in milk are destroyed when it __________ heated to 80 degree Celsius.would bewill beiswas
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___________________ with someone else’s email account is now a very serious offence.InvolvingAssistingTamperingIncubating
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Consider the following sentences:All benches are beds. No bed is a bulb. Some bulbs are lamps.Which of the following can be inferredSome beds are lampsSome lamps are beds...
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If the radius of a right circular cone is increased by $50\%$, its volume increases by$75\%$$100\%$$125\%$$237.5\%$
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The following sequence of number is arranged in increasing order $1,x,x,x,y,y,9,16,18$. Given that the mean and median are equal, and are also equal to twice the mode, th...
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The old concert hall was demolished because of fears that the foundation would be affected by the construction of the new metro line in the area. Modern technology for un...
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Students applying for hostel rooms are allotted rooms in order of seniority. students already staying in a room will move if they get a room in their preferred list. Pref...
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The last digit of $\left ( 2171 \right )^{7}+\left ( 2172 \right )^{9}+\left ( 2173 \right )^{11}+\left ( 2174 \right )^{13}$ is$2$$4$$6$$8$
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Two machines $M1$ and $M2$ are able to execute any of four jobs $P,Q,R$ and $S$. The machines can perform one job on one object at a time. Jobs $P,Q,R$ and $S$ take $30$ ...
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The bar graph below shows the output of five carpenters over one month, each of whom made different items of furniture: chairs, tables, and beds.Consider the following st...
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The volume of a sphere of diameter $1$ unit is ________ than the volume of a cube of side $1$ unit.leastlesslesserlow
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The unruly crowd demanded that the accused be _____________ without trial.hangedhanginghankeringhung
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Choose the statement $(s)$ where the underlined word is used correctly:A $\underline{\text{prone}}$ is a dried plum.He was lying $\underline{\text{prone}}$ on the floor.P...
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Fact: If it rains, then the field is wet.Read the following statements:It rainsThe field is not wetThe field is wetIt did not rainWhich one of the options given below is ...
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A window is made up of a square portion and an equilateral triangle portion above it. The base of the triangular portion coincides with the upper side of the square. If t...
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Students taking an exam are divided into two groups, $P$ and $Q$ such that each group has the same number of students. The performance of each of the students in a test w...
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A smart city integrates all modes of transport, uses clean energy and promotes sustainable use of resources. It also uses technology to ensure safety and security of the ...
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Find the missing sequence in the letter series.B, FH, LNP, _ _ _ _.SUWYTUVWTVXZTWXZ
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The binary operation $□$ is defined as $a □ b$ = $ab+(a+b)$, where $a$ and $b$ are any two real numbers. The value of the identity element of this operation, defined ...
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Which of the following curves represents the function $\text{y=ln}(|e^{[|\sin(|x|)]}|)$ for $\mid x\mid< 2\pi$? Here, $x$ represents the abscissa and $y$ represents the o...
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Which one of the following is an iterative technique for solving a system of simultaneous linear algebraic equations?Gauss eliminationGauss-JordanGauss-Seidel$LU$ decompo...
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The Laplace transform of $e^{at}\sin\left ( bt \right )$ is$\frac{b}{\left ( s-a \right )^{2}+b^{2}}$$\frac{s-a}{\left ( s-a \right )^{2}+b^{2}}$$\frac{s-a}{\left ( s-a \...
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What are the modulus $\left ( r \right )$ and argument $\left ( \theta \right )$ of the complex number $3+4i$ ?$r=\sqrt{7}, \theta =tan^{-1}\left ( \frac{4}{3} \right )$$...
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A liquid mixture of ethanol and water is flowing as inlet stream $P$ into a stream splitter. It is split into two streams, $Q$ and $R$, as shown in the figure below.The f...
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The partial molar enthalpy (in $kJ$/mol) of species $1$ in a binary mixture is given by $\bar{h}_{1}=2 -60x_{2}^{2}+100x^{1}x_{2}^{2},$ where $x_{1}$ and $x_{2}$ are the ...
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For a flow through a smooth pipe, the Fanning friction factor $(f)$ is given by $f=mRe^{-0.2}$ in the turbulent flow regime, where $Re$ is the Reynolds number and $m$ is ...
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In a cyclone separator used for separation of solid particles from a dust laden gas, the separation factor is defined as the ratio of the centrifugal force to the gravita...
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A vertical cylindrical vessel has a layer of kerosene (of density $800\: kg/m^{3}$) over a layer of water (of density $1000 \:kg/m^{3}$). $L$ – shaped glass tubes are c...
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A composite wall is made of four different materials of construction in the fashion shown below. The resistance (in $K/W$) of each sections of the wall is indicated in th...
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Steam at $100^{\circ}C$ is condensing on a vertical steel plate. The condensate flow is laminar. The average Nusselt numbers are $Nu_{1}$ and $Nu_{2}$, When the plate tem...
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A binary liquid mixture of benzene and toluene contains $20$ mol$\%$ of benzene. At $350 \:K$ the vapour pressures of pure benzene and pure toluene are $92\: kPa$ and $35...
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Match the dimensionless numbers in $Group–I$ with the ratios in $Group–2$.$\begin{array}{cc}\\&\text{Group-1} & \text{Group-2} \\ &\text{P. Biot number} & \text{ I. ...
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For what value of Lewis number, the wet-bulb temperature and adiabatic saturation temperature are nearly equal?$0.33$$0.5$$1$$2$
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For a non-catalytic homogeneous reaction $A\rightarrow B$, the rate expression at $300\:K$ is $-r_{A}$$\left (mol\; m^{-3} s^{-1}\right )=\frac{10C_{A}}{1+5C_{A}}$...
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The variations of the concentration $\left ( C_{A} ,C_{R}\:and\:C_{S}\right )$ for three species $\left ( A,R\:and\:S \right )$ with time, in an isothermal homogeneous ba...