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GATE CH 2021 | GA | Question: 1
The ratio of boys to girls in a class is $7$ to $3$.Among the options below, an acceptable value for the total number of students in the class is:$21$$37$$50$$73$
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GATE CH 2021 | GA | Question: 2
A polygon is convex if, for every pair of points, $P$ and $Q$ belonging to the polygon, the line segment $PQ$ lies completely inside or on the polygon. Which one of the f...
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GATE CH 2021 | GA | Question: 3
Consider the following sentences:Everybody in the class is prepared for the exam.Babu invited Danish to his home because he enjoys playing chess.Which of the following is...
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GATE CH 2021 | GA | Question: 4
A circular sheet of paper is folded along the lines in the direction shown. The paper, after being punched in the final folded state as shown and unfolded in the reverse ...
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GATE CH 2021 | GA | Question: 5
____________ is to $\textit{surgery}$ as $\textit{writer}$ is to __________Which one of the following options maintains a similar logical relation in the above sentence?P...
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GATE CH 2021 | GA | Question: 6
We have $2$ rectangular sheets of paper, $M$ and $N$, of dimensions $6$ cm $\times$ $1$ cm each. Sheet $M$ is rolled to form an open cylinder by bringing the short edges ...
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GATE CH 2021 | GA | Question: 7
$$\begin{array}{|c|c|c|c|} \hline \textbf{Items} & \textbf{Cost} & \textbf{Profit} \% & \textbf{Marked Price} \\ & (₹) && (₹) \\ \hline P & 5,400 & \dots & 5,860 \\ \hli...
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GATE CH 2021 | GA | Question: 8
There are five bags each containing identical sets of ten distinct chocolates. One chocolate is picked from each bag. The probability that at least two chocolates are ide...
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GATE CH 2021 | GA | Question: 9
Given below are two statements $1$ and $2$, and two conclusions $\text{I}$ and $\text{II}$.$\text{Statement 1}$: All bacteria are microorganisms.$\text{Statement 2}$: All...
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GATE CH 2021 | GA | Question: 10
Some people suggest anti-obesity measures $\text{(AOM)}$ such as displaying calorie information in restaurant menus. Such measures sidestep addressing the core problems t...
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GATE CH 2021 | Question: 1
An ordinary differential equation $\text{(ODE)}, \: \dfrac{dy}{dx}=2y$, with an initial condition $y(0)=1$, has the analytical solution $y=e^{2x}$.Using Runge-Kutta secon...
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GATE CH 2021 | Question: 2
The function $\cos(x)$ is approximated using Taylor series around $x=0$ as $\cos(x) \approx 1 + ax + bx^2 + cx^3 + dx^4$. The values of $a,b,c$ and $d$ are$a=1, \: b=-0....
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GATE CH 2021 | Question: 3
The heat of combustion of methane, carbon monoxide and hydrogen are $P$, $Q$ and $R$ respectively. For the reaction below, $$CH_4+H_2O \rightarrow CO+3H_2$$ the heat of r...
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GATE CH 2021 | Question: 4
A batch settling experiment is performed in a long column using a dilute dispersion containing equal number of particles of type $A$ and type $B$ in water (density $1000 ...
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GATE CH 2021 | Question: 5
A three-dimensional velocity field is given by $V=5x^2y \: i + Cy \: j-10xyz \: k$, where $i,j,k$ are the unit vectors in $x,y,z$ directions, respectively, describing a c...
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GATE CH 2021 | Question: 6
Heat transfer coefficient for a vapor condensing as a film on a vertical surface is given byDittus-Boelter equationNusselt theoryChilton-Colburn analogySieder-Tate equati...
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GATE CH 2021 | Question: 7
In a double-pipe heat exchanger of $10 \: m$ length, a hot fluid flows in the annulus and a cold fluid flows in the inner pipe. The temperature profiles of the hot $(T_h)...
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GATE CH 2021 | Question: 8
For a shell-and-tube heat exchanger, the clean overall heat transfer coefficient is calculated as $\text{250 W m$^{-2}$ K}^{-1}$ for a specific process condition. It is e...
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GATE CH 2021 | Question: 9
In reverse osmosis, the hydraulic pressure and osmotic pressure at the feed side of the membrane are $P_1$ and $\pi_1$, respectively. The corresponding values are $P_2$ a...
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GATE CH 2021 | Question: 10
Ethylene adsorbs on the vacant active sites $V$ of a transition metal catalyst according to the following mechanism.If $N_T, N_V$ and $N_{C_2H_4}$ denote the total number...
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GATE CH 2021 | Question: 11
Which of the following is $\text{NOT}$ a standard to transmit measurement and control signals?$4-20 \: \text{mA}$$3-15 \text{ psig}$$0-100\: \%$$1-5 \text{ VDC}$
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GATE CH 2021 | Question: 12
A feedforward controller can be used only ifthe disturbance variable can be measuredthe disturbance variable can be manipulatedthe disturbance variable can be ignoredregu...
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GATE CH 2021 | Question: 13
Turnover ratio is defined as$\dfrac{\text{Fixed capital investment}}{\text{Gross annual sales}} \\$$\dfrac{\text{Gross annual sales}}{\text{Fixed capital investment}} \\$...
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GATE CH 2021 | Question: 14
A principal amount is charged a nominal annual interest rate of $10 \%$. If the interest rate is compounded continuously, the final amount at the end of the one year woul...
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GATE CH 2021 | Question: 15
Match the common name of chemicals in $\text{Group-1}$ with their chemical formulae in $\text{Group-2}$$\begin{array}{|l|l|l|l|} \hline & \textbf{Group – 1} & & \textbf{G...
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GATE CH 2021 | Question: 16
For the function $f(x) = \begin{cases} -x, & x<0 \\ x^2, & x \geq 0 \end{cases}$ the $\text{CORRECT}$ statement(s) is/are$f(x)$ is continuous at $x=1$$f(x) $ is different...
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GATE CH 2021 | Question: 17
Feed solution $\textbf{F}$ is contacted with solvent $\textbf{B}$ in an extraction process. Carrier liquid in the feed if $\textbf{A}$ and the solute is $\textbf{C}$. The...
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GATE CH 2021 | Question: 18
The inherent characteristics of the three control valves $P$, $Q$ and $R$ are shown in the figure.The $\text{CORRECT}$ option(s) is/are$P$ is a quick opening valve$Q$ is ...
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GATE CH 2021 | Question: 19
A source placed at the origin of a circular sample holder (radius $r=1 \: m$) emits particles uniformly in all directions. A detector of length $l=1 \: cm$ has been place...
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GATE CH 2021 | Question: 20
$\textbf{A, B, C}$ and $\textbf{D}$ are vectors of length $4$. $$\textbf{A} = \begin{bmatrix} a_1 & a_2 & a_3 & a_4 \end{bmatrix} \\ \textbf{B} = \begin{bmatrix}b_1 & b_2...
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GATE CH 2021 | Question: 21
The van der Waals equation of the state is given by$$P_r = \dfrac{8T_r}{3v_r-1} – \dfrac{3}{v_r^2}$$where $P_r$, $T_r$ and $v_r$ represent reduced pressure, reduced tempe...
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GATE CH 2021 | Question: 22
Consider a steady flow of an incompressible, Newtonian fluid through a smooth circular pipe. Let $\alpha_{\textit{laminar}}$ and $\alpha_{\textit{turbulent}}$ denote the ...
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GATE CH 2021 | Question: 23
The molar heat capacity at constant pressure $C_p$ (in $\text{J mol}^{-1} K^{-1}$) for $n$-pentane as a function of temperature $(T$ in $K)$ is given by$ \dfrac{C_p}{R} =...
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GATE CH 2021 | Question: 24
The following homogeneous liquid phase reactions are at equilibrium,The values of rate constants are given by: $k_1 = 0.1 s^{-1}$, $k_{-1}=0.2 s^{-1}, k_2 = 1 s^{-1}, k_{...
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GATE CH 2021 | Question: 25
A company invests in a recovery unit to separate valuable metals from effluent streams. The total initial capital investment of this unit is Rs. $10$ lakhs. The recovered...
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GATE CH 2021 | Question: 26
Let $A$ be a square matrix of size $n \times n (n>1)$. The elements of $A=\{a_{ij}\}$ are given by $$a_{ij} = \begin{cases} i \times j, & \text{if } i \geq j \\ 0, & \tex...
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GATE CH 2021 | Question: 27
Consider a fluid confined between two horizontal parallel plates and subjected to shear flow.In the first experiment, the plates are separated by a distance of $1 \: mm$....
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GATE CH 2021 | Question: 28
Water of density $1000 \text{ kg m}^{-3}$ flows in a horizontal pipe of $10 \: cm$ diameter at an average velocity of $0.5 \: m \: s^{-1}$. The following plot shows the p...
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GATE CH 2021 | Question: 29
In a solvent regeneration process, a gas is used to strip a solute from a liquid in a countercurrent packed tower operating under isothermal condition. Pure gas is used i...
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GATE CH 2021 | Question: 30
Which of these symbols can be found in piping and instrumentation diagrams?$(Q)$ and $(S)$ only$(P)$, $(Q)$ and $(R)$ only$(P)$, $(R)$ and $(S)$ only$(P)$, $(Q)$, $(R)$ a...