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One percent of the people of country $X$ are taller than $6$ ft. Two percent of the people of country $Y$ are taller than $6$ ft. There are thrice as many people in count...
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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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In a factory, two machines $M1$ and $M2$ manufacture $60\%$ and $40\%$ of the autocomponents respectively. Out of the total production, $2\%$ of $M1$ and $3\%$ of $M2$ ar...
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In an experiment setup, mineral oil is filled in between the narrow gap of two horizontal smooth plates. The setup has arrangements to maintain the plates at desired unif...
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The block diagram of a system with a proportional controller is shown below A unit step is introduced in the set point. Th...
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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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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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Mahatma Gandhi was known for his humility ashe played an important role in humiliating exit of British from India.he worked for humanitarian causes.he displayed modesty i...
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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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Consider the following two normal distributions$f_{1}\left ( x \right )=exp\left ( -\pi x^{2} \right )$$f_{2}\left ( x \right )=\frac{1}{2 \pi}exp\left \{ -\frac{1}{4\pi ...
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Which $ONE$ of the following is $CORRECT$ for an ideal gas in a closed system?$\left ( \frac{\partial U}{\partial V} \right )_{s}V=nR\left ( \frac{\partial U}{\partial S}...
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If 3 $\le$ X $\le$ 5 and 8 $\le$ Y $\le$ 11 then which of the following options is TRUE?$\frac{3}{5}$ $\le$ $\frac{X}{Y}$ $\le$ $\frac{8}{5}$$\frac{3}{11}$ $\le$ $\frac{X...
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An open tank contains two immiscible liquids of densities $(800\: kg/m^{3}$ and $1000\:kg/m^{3})$ as shown in the figure. If $g = 10\: m/s^2$, under static conditions, th...
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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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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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Match the following$$\begin{array}&&\textbf{Group I} & \textbf{Group II} \\ &\text{P. Tank in series model} & \text{I. Non-isothermal reaction}\\&\text{Q. Liquid-liquid ...
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Consider the following differential equation$\frac{dy}{dx}=x+In\:\left ( y \right ); y=2 \: at \: x=0$The solution of this equation at $x=0.4$ using Euler method with a s...
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Following table gives data on tourists from different countries visiting India in the year $2011$$$\begin{array}{|cl|cl|} \hline & \textbf{Country} & \textbf{Number of T...
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Find the odd one in the following group: $\text{ALRVX, EPVZB, ITZDF, OYEIK}$$\text{ALRVX}$$\text{EPVZB}$$\text{ITZDF}$$\text{OYEIK}$
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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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Match the following$$\begin{array}&&\textbf{Group I} & \textbf{Group II} \\ &\text{P. Turbulence} & \text{I. Reciprocating pump}\\&\text{Q. $NPSH$} & \text{II. Packed be...
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Given below is a simplified block diagram of a feedforward control system.The transfer function of the process is $G_{p}=\frac{5}{s+1}$ and the disturbance transfer funct...
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The vessel dispersion number for an ideal $CSTR$ is $-1$$0$$1$$\infty$
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Consider the following transfer function $G_p(s) = \dfrac{5}{(2s+1)^4}$(Note: The unit of the processor time constan...
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The units of the isothermal compressibility are$m^{-3}$$Pa^{-1}$$m^{3} Pa^{-1}$$m^{-3}Pa^{-1}$
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A step change of magnitude $2$ is introduced into a system having the following transfer function$$G\left ( s \right )=\frac{2}{s^{2}+2s+4}$$The percent overshoot is ____...
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In order to produce fine solid particles between $5$ and $10\:\ \mu m$, the appropriate size reducing equipment isfluid energy millhammer milljaw crushersmooth roll crush...
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Select the pair that best expresses a relationship similar to that expressed in the pair:$\text{water : pipe ::}$cart: roadelectricity: wiresea: beachmusic: instrument
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For the computation of Ziegler-Nichols settings, the ultimate period (in s/cycle) and the ultimate gain are $\pi$ and $0.8$, respectively$4\pi$ and $0.8$, respectively$4\...
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For two rolls of a fair die, the probability of getting a 4 in the first roll and a number less than 4 in the second roll, up to 3 digits after the decimal point, is ____...
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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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The Headmaster ______ to speak to you.Which of the following options is incorrect to complete the above sentence?is wanting.wantswantwas wanting
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The value of the integral${\scriptstyle \int^{0.5} _{0.1}}$ e$^{-x^3}$dxevaluated by Simpson’s rule using 4 subintervals (up to 3 digits after the decimal point) is $\_...
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Match the following$\bf{Group 1}$ $\bf{Group 2}$(P) Viscosity (1) Pyrometer(Q) Pressure ...
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Which of the following statements are TRUE?P.The eigenvalues of a symmetric matrix are realQ.The value of the determinant of an orthogonal matrix can only be +1R.The tr...
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Given the sequence of terms, $\text{AD CG FK JP}$, the next term is$\text{OV}$$\text{OW}$$\text{PV}$$\text{PW}$
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Which $ONE$ of the following statements is $CORRECT$ for the surface renewal theory?Mass transfer takes place at steady stateMass transfer takes place at unsteady stateCo...
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Integral of the time-weighted absolute error $(ITAE)$ is expressed as$\int _{0}^{\infty }\frac{\left | \varepsilon \left ( t \right ) \right |}{t^{2}}dt$$\int _{0}^{\inft...
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If $f(x)$ is a real and continuous function of $x$, the Taylor series expansion of $f(x)$ about its minima will $NEVER$ have a term containingfirst derivativesecond deriv...
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The vapor-liquid equilibrium curve of a binary mixture A-B,may be approximated by a linear equation over a narrow range of liquid mole fractions (0.2 < x${_A}$ < 0.3) as...