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GATE CH 2022 | Question: 21
Consider steady-state diffusion in a binary $\text{A-B}$ liquid at constant temperature and pressure. The mole ... is _________________ (rounded off to one decimal place).
Consider steady-state diffusion in a binary $\text{A-B}$ liquid at constant temperature and pressure. The mole-fraction of $A$ at two different locations is $0.8$ and $0....
Arjun
4.7k
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Arjun
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Feb 15, 2022
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gatech-2022
numerical-answers
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GATE CH 2022 | Question: 22
Consider interphase mass transfer of a species $S$ between two immiscible liquids $A$ and $B$. The interfacial mass transfer ... (rounded off to one decimal place).
Consider interphase mass transfer of a species $S$ between two immiscible liquids $A$ and $B$. The interfacial mass transfer coefficient ot $S$ in liquid $A$ is twice of ...
Arjun
4.7k
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Arjun
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numerical-answers
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GATE CH 2022 | Question: 23
A wet solid containing $20\%$ $\text{(w/w)}$ moisture (based on mass of bone-dry solid) is dried in a tray-dryer. ... $\text{(w/w)}$ (rounded off to one decimal place).
A wet solid containing $20\%$ $\text{(w/w)}$ moisture (based on mass of bone-dry solid) is dried in a tray-dryer. The critical moisture content of the solid is $10\%$ $\t...
Arjun
4.7k
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numerical-answers
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GATE CH 2022 | Question: 24
A process described by the transfer function ... ) is __________________ (rounded off to the nearest integer).
A process described by the transfer function $$G_{P}\left ( s \right ) = \frac{\left ( 10s +1 \right )}{5s + 1}$$ is forced by a unit step input at time $t = 0$. The outp...
Arjun
4.7k
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Arjun
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Feb 15, 2022
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gatech-2022
numerical-answers
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GATE CH 2022 | Question: 25
A compressor with a lite of $10$ years costs Rs $10$ ... compressor is Rs _______________ lakhs (rounded to first decimal place)
A compressor with a lite of $10$ years costs Rs $10$ lakhs. Its yearly operating cost is Rs $0.5$ lakh. If the annual compound interest rate is $8\%$, the amount needed a...
Arjun
4.7k
points
Arjun
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Feb 15, 2022
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gatech-2022
numerical-answers
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votes
GATE CH 2022 | Question: 26
The partial differential equation $\frac{\partial u}{\partial t} = \frac{1}{\pi^{2}} \frac{\partial ^{2} u}{\partial x^{2}}$ where ... $1$ $e$ $\pi$ $\frac{1}{e}$
The partial differential equation $$\frac{\partial u}{\partial t} = \frac{1}{\pi^{2}} \frac{\partial ^{2} u}{\partial x^{2}}$$ where, $t \geq 0$ and $x \in [0,1]$, is sub...
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4.7k
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GATE CH 2022 | Question: 27
$N$ moles of an ideal gas undergo a two-step process as shown in the figure. Let $\text{P, V and T}$ denote the pressure, volume ... $P_{2}V_{2} - P_{1}V_{1}$
$N$ moles of an ideal gas undergo a two-step process as shown in the figure. Let $\text{P, V and T}$ denote the pressure, volume and temperature of the gas, respectively....
Arjun
4.7k
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Arjun
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GATE CH 2022 | Question: 28
A horizontal cylindrical water jet of diameter $D_{1} = 2\: cm$ ... is $30 \pi$ $10 \pi$ $20 \pi$ $5 \pi$
A horizontal cylindrical water jet of diameter $D_{1} = 2\: cm$ strikes a vertical solid plate with a hole of diameter $D_{2} = 1\:cm$, as shown in the figure. A part of ...
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4.7k
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GATE CH 2022 | Question: 29
Consider a horizontal rod of radius $aR (a < 1)$ in a stationary pipe of radius $R$. The rod is pulled coaxially at a constant ... $0$ $-\frac{\pi \mu V} {\text{ln}(a)}$
Consider a horizontal rod of radius $aR (a < 1)$ in a stationary pipe of radius $R$. The rod is pulled coaxially at a constant velocity $V$ as shown in the figure. The an...
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4.7k
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Arjun
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GATE CH 2022 | Question: 30
Consider a bare long copper wire of $1$ $\text{mm}$ diameter. Its surface temperature is $T_{s}$ ... places, is $0.02$ $0.04$ $0.10$ $0.01$
Consider a bare long copper wire of $1$ $\text{mm}$ diameter. Its surface temperature is $T_{s}$ and the ambient temperature is $T_{a}\:(T_{s} T_{a})$. The wire is to be...
Arjun
4.7k
points
Arjun
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Feb 15, 2022
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gatech-2022
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GATE CH 2022 | Question: 31
Two large parallel planar walls are maintained at $1000\:K$ and $500\:K$. Parallel radiation shields are to be installed between the ... the walls is (are) $1$ $0$ $2$ $3$
Two large parallel planar walls are maintained at $1000\:K$ and $500\:K$. Parallel radiation shields are to be installed between the two walls. Assume that the emissiviti...
Arjun
4.7k
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Arjun
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Feb 15, 2022
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gatech-2022
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GATE CH 2022 | Question: 32
Saturated steam condenses on a vertical plate maintained at a constant wall temperature. If $x$ is the vertical distance from the top edge ... $\frac{3}{4}$ $3$
Saturated steam condenses on a vertical plate maintained at a constant wall temperature. If $x$ is the vertical distance from the top edge of the plate, then the local he...
Arjun
4.7k
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Arjun
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Feb 15, 2022
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gatech-2022
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GATE CH 2022 | Question: 33
Match the product in Group-$1$ with the manufacturing process in Group-$2$ ... $\text{P-I, Q-IV, R-II, S-III}$
Match the product in Group-$1$ with the manufacturing process in Group-$2$. The correct combination is$$\begin{array}{|c|c|} \hline\text{} & \text{Group – 1} & & \text{...
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4.7k
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gatech-2022
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GATE CH 2022 | Question: 34
The directional derivative of $f\left ( x, y, z \right ) = 4x^{2}+2y^{2}+z^{2}$ ... is _________________ (rounded off to two decimal places).
The directional derivative of $f\left ( x, y, z \right ) = 4x^{2}+2y^{2}+z^{2}$ at the point $(1, 1, 1)$ in the direction of the vector $\vec{v} = \hat{i} - \hat{k}$ is _...
Arjun
4.7k
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Arjun
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gatech-2022
numerical-answers
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GATE CH 2022 | Question: 35
Consider a sphere of radius $4$, centered at the origin, with outward unit normal $\hat{n}$ on its surface ... is _________________ (rounded off to one decimal places)
Consider a sphere of radius $4$, centered at the origin, with outward unit normal $\hat{n}$ on its surface $S$. The value of the surface integral $\iint _{s} \left ( \dfr...
Arjun
4.7k
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Arjun
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Others
gatech-2022
numerical-answers
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GATE CH 2022 | Question: 36
The equation $\dfrac{dy}{dx} = xy^{2}+ 2y+ x- 4.5$ with the initial condition $y(x= 0) = 1$ is ... $x = 0.5$ is _____________________ (rounded off to three decimal places).
The equation $\dfrac{dy}{dx} = xy^{2}+ 2y+ x- 4.5$ with the initial condition $y(x= 0) = 1$ is to be solved using a predictor-corrector approach. Use a predictor based on...
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4.7k
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GATE CH 2022 | Question: 37
A substance at $4^{\circ}C$ ... (rounded off to the nearest integer).
A substance at $4^{\circ}C$ has a thermal expansion coefficient $\beta = \dfrac{1}{v}\left ( \dfrac{\partial v}{\partial T} \right )_P =0 \:K^{-1}$, an isothermal compres...
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4.7k
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Arjun
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GATE CH 2022 | Question: 38
The molar excess Gibbs free energy $(g^{E})$ of a liquid mixture of $A$ and $B$ ... $1$ bar is ___________________ (rounded off to the nearest integer).
The molar excess Gibbs free energy $(g^{E})$ of a liquid mixture of $A$ and $B$ is given by $$\frac{g^{E}}{RT} = x_{A}x_{B}\left [ C_{1} + C_{2} \left ( x_{A} - x_{B} \ri...
Arjun
4.7k
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Arjun
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Feb 15, 2022
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numerical-answers
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GATE CH 2022 | Question: 39
For a pure substance, the following data at saturated conditions are given: ... $\text{kJ/mol}$ (rounded off to one decimal place).
For a pure substance, the following data at saturated conditions are given:$$\begin{array}{cccc}\text{ln}\:{P^{\text{sat}} (\text{bar})} & \text{T (K)} \\ 0.693 & 350 \\ ...
Arjun
4.7k
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Arjun
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Feb 15, 2022
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numerical-answers
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GATE CH 2022 | Question: 40
Consider the process flowsheet in the figure. An irreversible liquid-phase reaction $A \rightarrow B$ ... (rounded off to two decimal places).
Consider the process flowsheet in the figure. An irreversible liquid-phase reaction $A \rightarrow B$ (reaction rate $-r_{A} = 164 \:x_{A}\text{ kmol }m^{-3}\:h^{-1}$) oc...
Arjun
4.7k
points
Arjun
asked
Feb 15, 2022
Others
gatech-2022
numerical-answers
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votes
GATE CH 2022 | Question: 41
Two reservoirs located at the same altitude are connected by a straight horizontal pipe of length $120\:m$ and inner ... $\text{kW}$ (rounded off to one decimal place).
Two reservoirs located at the same altitude are connected by a straight horizontal pipe of length $120\:m$ and inner diameter $0.5\:m$, as shown in the figure. A pump tra...
Arjun
4.7k
points
Arjun
asked
Feb 15, 2022
Others
gatech-2022
numerical-answers
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votes
GATE CH 2022 | Question: 42
A venturi meter (venturi coefficient, $C_{v} = 0.98$) is connected to a pipe of inner diameter $50$ $\text{mm}$. Water ... (rounded off to two decimal places)
A venturi meter (venturi coefficient, $C_{v} = 0.98$) is connected to a pipe of inner diameter $50$ $\text{mm}$. Water (density $1000\:kg\:m^{-3}$) is flowing through the...
Arjun
4.7k
points
Arjun
asked
Feb 15, 2022
Others
gatech-2022
numerical-answers
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0
votes
GATE CH 2022 | Question: 43
In a constant-rate cake filtration operation, the collected filtrate volumes are $120\:m^{3}$ ... $\text{kPa}$ (rounded off to the nearest integer).
In a constant-rate cake filtration operation, the collected filtrate volumes are $120\:m^{3}$ and $240\:m^{3}$ at $1$ min and $2$ min, respectively. Assume the cake resis...
Arjun
4.7k
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Arjun
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Feb 15, 2022
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gatech-2022
numerical-answers
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votes
GATE CH 2022 | Question: 44
A cylindrical fin of diameter $24$ $\text{mm}$ is attached horizontally to a vertical planar wall. The heat transfer ... $\text{mm}$ (rounded off to the nearest integer).
A cylindrical fin of diameter $24$ $\text{mm}$ is attached horizontally to a vertical planar wall. The heat transfer rate from the tin to the surrounding ar is $60\%$ of ...
Arjun
4.7k
points
Arjun
asked
Feb 15, 2022
Others
gatech-2022
numerical-answers
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votes
GATE CH 2022 | Question: 45
A single-effect evaporator with a heat transfer area of $70\:m^{2}$ concentrates a salt solution using steam. The salt ... (rounded off to the nearest integer).
A single-effect evaporator with a heat transfer area of $70\:m^{2}$ concentrates a salt solution using steam. The salt solution feed rate and temperature are $10000\:kg\:...
Arjun
4.7k
points
Arjun
asked
Feb 15, 2022
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gatech-2022
numerical-answers
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votes
GATE CH 2022 | Question: 46
An equimolar binary mixture is to be separated in a simple tray-distillation column. The feed rate is ... ratio is __________ (rounded off to two decimal places).
An equimolar binary mixture is to be separated in a simple tray-distillation column. The feed rate is $50\text{ kmol min}^{-1}$ . The mole fractions of the more volatile ...
Arjun
4.7k
points
Arjun
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Feb 15, 2022
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GATE CH 2022 | Question: 47
The dry-bulb temperature of air in a room is $30^{\circ}C$ ... = ____________ (rounded off to one decimal place).
The dry-bulb temperature of air in a room is $30^{\circ}C$. The Antoine equation for wateris given as $$\text{ln} P^{sat} = 12.00 -\frac{4000}{T - 40}$$ where $T$ is the ...
Arjun
4.7k
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Arjun
asked
Feb 15, 2022
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gatech-2022
numerical-answers
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votes
GATE CH 2022 | Question: 48
In the block diagram shown in the figure, the transfer function ... remains stable is ___________________ (rounded off to two decimal places).
In the block diagram shown in the figure, the transfer function $G = \dfrac{K}{\left ( \tau s + 1 \right )}$ with $K 0$ and $\tau 0$. The maximum value of $K$ below whi...
Arjun
4.7k
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Arjun
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Feb 15, 2022
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gatech-2022
numerical-answers
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votes
GATE CH 2022 | Question: 49
Consider the tank level control system shown in the figure, where the cross-section area of the tank is ... is _____________________ (rounded off to the nearest integer).
Consider the tank level control system shown in the figure, where the cross-section area of the tank is $A$. Assume perfect flow controllers $\text{(FC)}$. The level cont...
Arjun
4.7k
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Arjun
asked
Feb 15, 2022
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gatech-2022
numerical-answers
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votes
GATE CH 2022 | Question: 50
Consider a single-input-single-output $\text{(SISO)}$ ... is ______________ minutes (rounded off to two decimal places).
Consider a single-input-single-output $\text{(SISO)}$ system with the transfer function $$G_{P}\left ( s \right ) =\frac{2\left ( s + 1 \right )}{\left ( \dfrac{1}{2} s +...
Arjun
4.7k
points
Arjun
asked
Feb 15, 2022
Others
gatech-2022
numerical-answers
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0
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votes
GATE CH 2022 | Question: 51
Information for a proposed greenfield project is provided in the table. The discounted cash flow for the fourth year is Rs ...
Information for a proposed greenfield project is provided in the table. The discounted cash flow for the fourth year is Rs ___________________ crores (rounded off to one ...
Arjun
4.7k
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Arjun
asked
Feb 15, 2022
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gatech-2022
numerical-answers
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votes
GATE CH 2022 | Question: 52
Consider the process in the figure. The liquid phase elementary reactions ... fresh feeds, process exit streams and recycle streams are pure
Consider the process in the figure. The liquid phase elementary reactions $$A + B \rightarrow P \:\:\:\: -r_{B1} = k_{1}\:x_{A}\:x_{B}$$ $$P + B \rightarrow S \:\:\:\: -r...
Arjun
4.7k
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Arjun
asked
Feb 15, 2022
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gatech-2022
numerical-answers
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GATE CH 2022 | Question: 53
An elementary irreversible liquid-phase reaction, $2A \rightarrow B$ ... $\%$ (rounded off to one decimal place).
An elementary irreversible liquid-phase reaction, $2A \rightarrow B$, is carried out under isothermal conditions in a $1\:m^{3}$ ideal plug flow reactor $\text{(PFR)}$ as...
Arjun
4.7k
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Arjun
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Feb 15, 2022
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gatech-2022
numerical-answers
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GATE CH 2022 | Question: 54
An elementary irreversıble gas-phase reaction, $A \rightarrow B + C$, is carried out at fixed temperature and pressure in ... (rounded off to one decimal place).
An elementary irreversıble gas-phase reaction, $A \rightarrow B + C$, is carried out at fixed temperature and pressure in two separate ideal reactors: $(i)$ a $10\:m^{3}...
Arjun
4.7k
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Arjun
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gatech-2022
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GATE CH 2022 | Question: 55
An elementary irreversible liquid-phase reaction, $2P \overset{k}{\rightarrow}Q$ ... is _____________ $\%$ (round off to the nearest integer)
An elementary irreversible liquid-phase reaction, $2P \overset{k}{\rightarrow}Q$, where the rate constant $k = 2\:L\:\text{mol}^{-1}\:\text{min} ^{-1}$, takes place in an...
Arjun
4.7k
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Arjun
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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$
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$
go_editor
1.4k
points
go_editor
asked
Mar 1, 2021
Quantitative Aptitude
gatech-2021
numerical-ability
ratio-proportion
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votes
GATE CH 2021 | GA Question: 2
A polygon is convex if, for every pair of points, $P$ and $Q$ ... following is $\underline{ \text{NOT}}$ a convex polygon?
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...
go_editor
1.4k
points
go_editor
asked
Mar 1, 2021
Quantitative Aptitude
gatech-2021
numerical-ability
geometry
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0
answers
0
votes
GATE CH 2021 | GA Question: 3
Consider the following sentences: Everybody in the class is prepared for the exam. Babu invited Danish to his ... grammatically incorrect and $\text{(ii)}$ is ambiguous
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...
go_editor
1.4k
points
go_editor
asked
Mar 1, 2021
Verbal Aptitude
gatech-2021
verbal-ability
english-grammar
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0
answers
0
votes
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 ... in the reverse order of folding, will look like ________.
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 ...
go_editor
1.4k
points
go_editor
asked
Mar 1, 2021
Spatial Aptitude
gatech-2021
spatial-aptitude
paper-folding
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GATE CH 2021 | GA Question: 5
____________ is to $\textit{surgery}$ as $\textit{writer}$ is to __________ Which one of the following ... Plan, outline Hospital, library Doctor, book Medicine, grammar
____________ 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...
go_editor
1.4k
points
go_editor
asked
Mar 1, 2021
Verbal Aptitude
gatech-2021
verbal-ability
word-pairs
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