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GATE Mechanical 2022 Set 1 | Question: 46
A $4$ $\text{mm}$ thick aluminum sheet of width $w = 100$ $\text{mm}$ is rolled in a two-roll mill of roll diameter $200$ $\text{mm}$ ... $\bar{\sigma}$ is average flow stress, $L$ is roll-workpiece contact length, and $\bar{h}$ is the average sheet thickness.
A $4$ $\text{mm}$ thick aluminum sheet of width $w = 100$ $\text{mm}$ is rolled in a two-roll mill of roll diameter $200$ $\text{mm}$ each. The workpiece is lubricated wi...
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Feb 15, 2022
Others
gateme-2022-set1
numerical-answers
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GATE Mechanical 2022 Set 1 | Question: 47
Two mild steel plates of similar thickness, in butt-joint configuration, are welded by gas tungsten arc welding process using the following welding parameters. ... $\text{mm/s}$ (round off to one decimal place).
Two mild steel plates of similar thickness, in butt-joint configuration, are welded by gas tungsten arc welding process using the following welding parameters.$$\begin{ar...
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Feb 15, 2022
Others
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GATE Mechanical 2022 Set 1 | Question: 48
An assignment problem is solved to minimize the total processing time of four jobs ($1,2,3$ and $4$) on four different machines such that each job is processed exactly by one machine and each machine processes exactly one ... machine has increased by $20$ minutes. The revised minimum total processing time will be ___________________ minutes (in integer).
An assignment problem is solved to minimize the total processing time of four jobs ($1,2,3$ and $4$) on four different machines such that each job is processed exactly by...
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Feb 15, 2022
Others
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GATE Mechanical 2022 Set 1 | Question: 49
The product structure diagram shows the number of different components required at each level to produce one unit of the final product $P$. If there are $50$ units of on-hand inventory of component $A$, the number of additional units of component $A$ needed to produce 10 units of product $P$ is ______________ (in integer).
The product structure diagram shows the number of different components required at each level to produce one unit of the final product $P$. If there are $50$ units of on-...
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Feb 15, 2022
Others
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GATE Mechanical 2022 Set 1 | Question: 50
Consider a one-dimensional steady heat conduction process through a solid slab of thickness $0.1\: m$. The higher temperature side $A$ has a surface temperature of $80^{\circ}C$, and the heat transfer rate per unit area to low temperature side ... per unit area during the heat transfer process is _______________ $W/m^{2}.K$ (round off to $2$ decimal places)
Consider a one-dimensional steady heat conduction process through a solid slab of thickness $0.1\: m$. The higher temperature side $A$ has a surface temperature of $80^{\...
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Feb 15, 2022
Others
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GATE Mechanical 2022 Set 1 | Question: 51
In a steam power plant based on Rankine cycle, steam is initially expanded in a high-pressure turbine. The steam is then reheated in a reheater and finally expanded in a low-pressure turbine. The expansion work in the high-pressure turbine is ... $\text{kJ/kg}$ (round off to $2$ decimal places)
In a steam power plant based on Rankine cycle, steam is initially expanded in a high-pressure turbine. The steam is then reheated in a reheater and finally expanded in a ...
asked
Feb 15, 2022
Others
gateme-2022-set1
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GATE Mechanical 2022 Set 1 | Question: 52
An engine running on an air standard Otto cycle has a displacement volume $250\: cm^{3}$ and a clearance volume $35.7\: cm^{3}$. The pressure and temperature at the beginning of the compression process are $100$ ... constant during the cycle. The maximum pressure in the cycle is _______________ $\text{kPa}$ (round off to the nearest integer)
An engine running on an air standard Otto cycle has a displacement volume $250\: cm^{3}$ and a clearance volume $35.7\: cm^{3}$. The pressure and temperature at the begin...
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Feb 15, 2022
Others
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GATE Mechanical 2022 Set 1 | Question: 53
A steady two-dimensional flow field is specified by the stream function $\psi = kx^{3}y,$ where $x$ and $y$ are in meter and the constant $k = 1 \:m^{-2}\:s^{-1}$. The magnitude of acceleration at a point $(x, y) = (1\;m, 1\;m)$ is _______________ $m/s^{2}$ (round off to $2$ decimal places).
A steady two-dimensional flow field is specified by the stream function $$\psi = kx^{3}y,$$ where $x$ and $y$ are in meter and the constant $k = 1 \:m^{-2}\:s^{-1}$. The ...
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Feb 15, 2022
Others
gateme-2022-set1
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GATE Mechanical 2022 Set 1 | Question: 54
Consider a solid slab (thermal conductivity, $k = 10\; W \cdot m^{-1}\cdot K^{-1})$ with thickness $0.2\; m$ and of infinite extent in the other two directions as shown in the figure. Surface $2$, at $300 K$, is exposed ... $T_{1}$ of Surface $1$ of the slab, under steady-state conditions, is ______________ $K$ (round off to the nearest integer).
Consider a solid slab (thermal conductivity, $k = 10\; W \cdot m^{-1}\cdot K^{-1})$ with thickness $0.2\; m$ and of infinite extent in the other two directions as shown i...
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Feb 15, 2022
Others
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GATE Mechanical 2022 Set 1 | Question: 55
During open-heart surgery, a patient's blood is cooled down to $25^{\circ}C$ from $37^{\circ}C$ using a concentric tube counter-flow heat exchanger. Water enters the heat exchanger at $4^{\circ}C$ ... $2$ decimal places).
During open-heart surgery, a patient's blood is cooled down to $25^{\circ}C$ from $37^{\circ}C$ using a concentric tube counter-flow heat exchanger. Water enters the heat...
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Feb 15, 2022
Others
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numerical-answers
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GATE Mechanical 2019 Set 2 | GA Question: 1
Once the team of analysis identify the problem, we ____ in a better position to comment on the issue. Which of the following choices CANNOT fill the given blank? will be were to be are going to be might be
Once the team of analysis identify the problem, we ____ in a better position to comment on the issue.Which of the following choices CANNOT fill the given blank?will bewer...
asked
Feb 9, 2019
Verbal Aptitude
gateme-2019-set2
verbal-ability
english-grammar
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GATE Mechanical 2019 Set 2 | GA Question: 2
A final examination is the ____ of a series of evaluations that a student has to go through culmination consultation desperation insinuation
A final examination is the ____ of a series of evaluations that a student has to go throughculminationconsultationdesperationinsinuation
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Feb 9, 2019
Verbal Aptitude
gateme-2019-set2
verbal-ability
most-appropriate-word
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1
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GATE Mechanical 2019 Set 2 | GA Question: 3
If IMHO=JNIP; IDK=JEL; and SO=TP, then IDC=______ JDE JED JDC JCD
If IMHO=JNIP; IDK=JEL; and SO=TP, then IDC=______JDEJEDJDCJCD
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Feb 9, 2019
Analytical Aptitude
gateme-2019-set2
analytical-aptitude
logical-reasoning
sequence-series
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GATE Mechanical 2019 Set 2 | GA Question: 4
The product of three integers $X$, $Y$ and $Z$ is $192$. $Z$ is equal to $4$ and $P$ is equal to the average of $X$ and $Y$. What is the minimum possible value of $P$? $6$ $7$ $8$ $9.5$
The product of three integers $X$, $Y$ and $Z$ is $192$. $Z$ is equal to $4$ and $P$ is equal to the average of $X$ and $Y$. What is the minimum possible value of $P$?$6$...
asked
Feb 9, 2019
Quantitative Aptitude
gateme-2019-set2
numerical-ability
number-system
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GATE Mechanical 2019 Set 2 | GA Question: 5
Are there enough seats here? There are ____ people here than I expected many most least more
Are there enough seats here? There are ____ people here than I expectedmanymostleastmore
asked
Feb 9, 2019
Verbal Aptitude
gateme-2019-set2
verbal-ability
most-appropriate-word
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GATE Mechanical 2019 Set 2 | GA Question: 6
Fiscal deficit was $4 \%$ of the GDP in $2015$ and that increased to $5 \%$ in $2016$. If the GDP increased by $10 \%$ from $2015$ to $2016$, the percentage increase in the actual fiscal deficit is ____ $37.50$ $35.70$ $25.00$ $10.00$
Fiscal deficit was $4 \%$ of the GDP in $2015$ and that increased to $5 \%$ in $2016$. If the GDP increased by $10 \%$ from $2015$ to $2016$, the percentage increase in t...
asked
Feb 9, 2019
Quantitative Aptitude
gateme-2019-set2
numerical-ability
percentage
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GATE Mechanical 2019 Set 2 | GA Question: 7
Two pipes $P$ and $Q$ can fill a tank in $6$ hours and $9$ hours respectively, while a third pipe $R$ can empty the tank in $12$ hours. Initially, $P$ and $R$ are open for $4$ hours, Then $P$ is closed and $Q$ is opened. After $6$ more hours $R$ is closed. The total time taken to fill the tank (in hours) is ____ $13.50$ $14.50$ $15.50$ $16.50$
Two pipes $P$ and $Q$ can fill a tank in $6$ hours and $9$ hours respectively, while a third pipe $R$ can empty the tank in $12$ hours. Initially, $P$ and $R$ are open f...
asked
Feb 9, 2019
Quantitative Aptitude
gateme-2019-set2
numerical-ability
work-time
pipe-cisterns
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GATE Mechanical 2019 Set 2 | GA Question: 8
While teaching a creative writing class in India, I was surprised at receiving stories from the students that were all set in distant places: in the American West with cowboys and in Manhattan penthouses with clinking ice cubes. This ... of the students had written about ice cubes and cowboys Some of the students had written about ice cubes and cowboys
While teaching a creative writing class in India, I was surprised at receiving stories from the students that were all set in distant places: in the American West with co...
asked
Feb 9, 2019
Verbal Aptitude
gateme-2019-set2
verbal-ability
verbal-reasoning
passage-reading
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GATE Mechanical 2019 Set 2 | GA Question: 9
Mola is a digital platform for taxis in a city. It offers three types of rides - Pool, Mini and Prime.The table below presents the number of rides for the past four months. The platform earns one US dollar per ride. What is the percentage share of the revenue ... $16.24$ $23.97$ $25.86$ $38.74$
Mola is a digital platform for taxis in a city. It offers three types of rides – Pool, Mini and Prime.The table below presents the number of rides for the past four mon...
asked
Feb 9, 2019
Quantitative Aptitude
gateme-2019-set2
numerical-ability
data-interpretation
tabular-data
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GATE Mechanical 2019 Set 2 | GA Question: 10
$X$ is an online media provider. By offering unlimited and exclusive online content at attractive prices for a loyalty membership, $X$ is almost forcing its customers towards its loyalty membership. If its royalty membership continues to grow ... television operators don't subscribe to $X's$ loyalty members The $X$ is cancelling accounts of non-members
$X$ is an online media provider. By offering unlimited and exclusive online content at attractive prices for a loyalty membership, $X$ is almost forcing its customers tow...
asked
Feb 9, 2019
Verbal Aptitude
gateme-2019-set2
verbal-ability
verbal-reasoning
passage-reading
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GATE2019 ME-2: 1
In matrix equation $[A] \{X\}=\{R\}$, $[A] = \begin{bmatrix} 4 & 8 & 4 \\ 8 & 16 & -4 \\ 4 & -4 & 15 \end{bmatrix} \{X\} = \begin{Bmatrix} 2 \\ 1 \\ 4 \end{Bmatrix} \text{ and} \{ R \} = \begin{Bmatrix} 32 \\ 16 \\ 64 \end{Bmatrix}$ One of the eigen values of matrix $[A]$ is $4$ $8$ $15$ $16$
In matrix equation $[A] \{X\}=\{R\}$,$[A] = \begin{bmatrix} 4 & 8 & 4 \\ 8 & 16 & -4 \\ 4 & -4 & 15 \end{bmatrix} \{X\} = \begin{Bmatrix} 2 \\ 1 \\ 4 \end{Bmatrix} \text{...
asked
Feb 9, 2019
Linear Algebra
gateme-2019-set2
linear-algebra
matrices
eigen-values
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GATE2019 ME-2: 2
The directional derivative of the function $f(x,y)=x^2+y^2$ along a line directed from $(0,0)$ to $(1,1)$, evaluated at the point $x=1, y=1$ is $\sqrt{2}$ $2$ $2 \sqrt{2}$ $4 \sqrt{2}$
The directional derivative of the function $f(x,y)=x^2+y^2$ along a line directed from $(0,0)$ to $(1,1)$, evaluated at the point $x=1, y=1$ is$\sqrt{2}$$2$$2 \sqrt{2}$$4...
asked
Feb 9, 2019
Calculus
gateme-2019-set2
calculus
directional-derivatives
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GATE2019 ME-2: 3
The differential equation $\dfrac{dy}{dx}+4y=5$ is valid in the domain $0 \leq x \leq 1$ with $y(0)=2.25$. The solution of the differential equation is $y=e^{-4x}+5$ $y=e^{-4x}+1.25$ $y=e^{4x}+5$ $y=e^{4x}+1.25$
The differential equation $\dfrac{dy}{dx}+4y=5$ is valid in the domain $0 \leq x \leq 1$ with $y(0)=2.25$. The solution of the differential equation is$y=e^{-4x}+5$$y=e^{...
asked
Feb 9, 2019
Differential Equations
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differential-equations
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GATE2019 ME-2: 4
An analytic function $f(z)$ of complex variable $z=x+iy$ may be written as $f(z)=u(x,y)+iv(x,y)$. Then $u(x,y)$ and $v(x,y)$ ...
An analytic function $f(z)$ of complex variable $z=x+iy$ may be written as $f(z)=u(x,y)+iv(x,y)$. Then $u(x,y)$ and $v(x,y)$ must satisfy$\dfrac{\partial u}{ \partial x} ...
asked
Feb 9, 2019
Calculus
gateme-2019-set2
calculus
partial-derivatives
complex-variables
analytic-functions
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GATE2019 ME-2: 5
A rigid triangular body, PQR, with sides of equal length of $1$ unit moves on a flat plane. At the instant shown, edge QR is parallel to the $x$-axis, and the body moves such that velocities of points P and R are $V_P$ and $V_R$, in the $x$ and $y$ directions, respectively. The magnitude of the angular velocity of the body is $2V_R$ $2V_P$ $V_R/\sqrt{3}$ $V_P/\sqrt{3}$
A rigid triangular body, PQR, with sides of equal length of $1$ unit moves on a flat plane. At the instant shown, edge QR is parallel to the $x$-axis, and the body moves ...
asked
Feb 9, 2019
Theory of Machines
gateme-2019-set2
theory-of-machines
applied-mechanics-and-design
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GATE2019 ME-2: 6
Consider a linear elastic rectangular thin sheet of metal, subjected to uniform uniaxial tensile stress of $100$ MPa along the length direction. Assume plane stress conditions in the plane normal to the thickness. The Young's modulus $E=200$ MPa and Poisson's ratio $v=0.3$ are given. The principal strains in the ... are $(0.35, - 0.15)$ $(0.5, 0.0)$ $(0.5, - 0.15)$ $(0.5, - 0.5)$
Consider a linear elastic rectangular thin sheet of metal, subjected to uniform uniaxial tensile stress of $100$ MPa along the length direction. Assume plane stress condi...
asked
Feb 9, 2019
Mechanics of Materials
gateme-2019-set2
mechanics-of-materials
applied-mechanics-and-design
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GATE2019 ME-2: 7
A spur gear has pitch circle diameter $D$ and number of teeth $T$. The circular pitch of the gear is $\dfrac{\pi D}{T} \\$ $\dfrac{T}{D} \\$ $\dfrac{D}{T} \\$ $\dfrac{2 \pi D}{T}$
A spur gear has pitch circle diameter $D$ and number of teeth $T$. The circular pitch of the gear is $\dfrac{\pi D}{T} \\$$\dfrac{T}{D} \\$$\dfrac{D}{T} \\$$\dfrac{2 \pi ...
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Feb 9, 2019
Machine Design
gateme-2019-set2
gears
machine-design
applied-mechanics-and-design
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GATE2019 ME-2: 8
Endurance limit of a beam subjected to pure bending decreases with decrease in the surface roughness and decrease in the size of the beam increase in the surface roughness and decrease in the size of the beam increase in the surface roughness and increase in the size of the beam decrease in the surface roughness and increase in the size of the beam
Endurance limit of a beam subjected to pure bending decreases withdecrease in the surface roughness and decrease in the size of the beamincrease in the surface roughness ...
asked
Feb 9, 2019
Mechanics of Materials
gateme-2019-set2
deflection-of-beams
mechanics-of-materials
applied-mechanics-and-design
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GATE2019 ME-2: 9
A two-dimensional incompressible frictionless flow field is given by $\overrightarrow{u} = x \hat{i} – y \hat{j}$. If $\rho$ is the density of the fluid, the expression for pressure gradient vector at any point in the flow field is given as $\rho(x \hat{i}+y \hat{j})$ $ – \rho(x \hat{i}+y \hat{j})$ $\rho(x \hat{i} – y \hat{j})$ $ – \rho(x^2 \hat{i}+y^2 \hat{j})$
A two-dimensional incompressible frictionless flow field is given by $\overrightarrow{u} = x \hat{i} – y \hat{j}$. If $\rho$ is the density of the fluid, the expression...
asked
Feb 9, 2019
Fluid Mechanics
gateme-2019-set2
fluid-mechanics
fluid-mechanics-and-thermal-science
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GATE2019 ME-2: 10
Sphere $1$ with a diameter of $0.1$ m is completely enclosed by another sphere $2$ of diameter $0.4$m. The view factor $F_{12}$ is $0.0625$ $0.25$ $0.5$ $1.0$
Sphere $1$ with a diameter of $0.1$ m is completely enclosed by another sphere $2$ of diameter $0.4$m. The view factor $F_{12}$ is$0.0625$$0.25$$0.5$$1.0$
asked
Feb 9, 2019
Heat Transfer
gateme-2019-set2
view-factors
heat-transfer
fluid-mechanics-and-thermal-science
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answers
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GATE2019 ME-2: 11
One-dimensional steady state heat conduction takes places through a solid whose cross-sectional area varies linearly in the direction of heat transfer. Assume there is no heat generation in the solid and the thermal conductivity of the material is constant and independent of temperature. The temperature distribution in the solid is Linear Quadratic Logarithmic Exponential
One-dimensional steady state heat conduction takes places through a solid whose cross-sectional area varies linearly in the direction of heat transfer. Assume there is no...
asked
Feb 9, 2019
Heat Transfer
gateme-2019-set2
heat-transfer
fluid-mechanics-and-thermal-science
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GATE2019 ME-2: 12
For a simple compressible system, $v, s, p$ and $T$ are specific volume, specific entropy, pressure and temperature, respectively. As per Maxwell's relations, $\bigg( \dfrac{\partial v}{\partial s} \bigg) _p$ ... $ - \bigg( \dfrac{\partial T}{\partial v} \bigg) _p \\$ $\bigg( \dfrac{\partial T}{\partial p} \bigg) _s$
For a simple compressible system, $v, s, p$ and $T$ are specific volume, specific entropy, pressure and temperature, respectively. As per Maxwell’s relations, $\bigg( \...
asked
Feb 9, 2019
Thermodynamics
gateme-2019-set2
thermodynamic-relations
thermodynamics
fluid-mechanics-and-thermal-science
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GATE2019 ME-2: 13
Which one of the following modifications of the simple ideal Rankine cycle increases the thermal efficiency and reduces the moisture content of the steam at the turbine outlet? Increasing the boiler pressure Decreasing the boiler pressure Increasing the turbine inlet temperature decreasing the condenser pressure
Which one of the following modifications of the simple ideal Rankine cycle increases the thermal efficiency and reduces the moisture content of the steam at the turbine o...
asked
Feb 9, 2019
Thermodynamics
gateme-2019-set2
thermodynamics
fluid-mechanics-and-thermal-science
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GATE2019 ME-2: 14
Hardenability of steel is a measure of the ability to harden when it is cold worked the maximum hardness that can be obtained when it is austenitized and then quenched the depth to which required hardening is obtained when it is austenitized and then quenched the ability to retain its hardness when it is heated to elevated temperatures
Hardenability of steel is a measure ofthe ability to harden when it is cold workedthe maximum hardness that can be obtained when it is austenitized and then quenchedthe d...
asked
Feb 9, 2019
Engineering Materials
gateme-2019-set2
engineering-materials
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GATE2019 ME-2: 15
The fluidity of molten metal of cast alloys (without any addition of fluxes) increases with increase in viscosity surface tension freezing range degree of superheat
The fluidity of molten metal of cast alloys (without any addition of fluxes) increases with increase inviscositysurface tensionfreezing rangedegree of superheat
asked
Feb 9, 2019
Materials, Manufacturing and Industrial Engineering
gateme-2019-set2
materials-manufacturing-and-industrial-engineering
casting-forming-and-joining-process
different-types-of-casting
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–
0
answers
0
votes
GATE2019 ME-2: 16
The cold forming process in which a hardened tool is pressed against a workpiece (when there is relative motion between the tool and the workpiece) to produce a roughened surface with a regular pattern is Roll forming Strip forming Knurling Chamfering
The cold forming process in which a hardened tool is pressed against a workpiece (when there is relative motion between the tool and the workpiece) to produce a roughened...
asked
Feb 9, 2019
Materials, Manufacturing and Industrial Engineering
gateme-2019-set2
materials-manufacturing-and-industrial-engineering
casting-forming-and-joining-process
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–
0
answers
0
votes
GATE2019 ME-2: 17
The most common limit gage used for inspecting the hole diameter is Snap gage Ring gage Plus gage Madter gage
The most common limit gage used for inspecting the hole diameter isSnap gageRing gagePlus gageMadter gage
asked
Feb 9, 2019
Materials, Manufacturing and Industrial Engineering
gateme-2019-set2
materials-manufacturing-and-industrial-engineering
metrology-and-inspection
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–
0
answers
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GATE2019 ME-2: 18
The transformation matrix for mirroring a point in $x – y$ plane about the line $y=x$ is given by $\begin{bmatrix} 1 & 0 \\ 0 & -1 \end{bmatrix} \\$ $\begin{bmatrix} -1 & 0 \\ 0 & 1 \end{bmatrix} \\$ $\begin{bmatrix} 0 & 1 \\ 1 & 0 \end{bmatrix} \\$ $\begin{bmatrix} 0 & -1 \\ -1 & 0 \end{bmatrix}$
The transformation matrix for mirroring a point in $x – y$ plane about the line $y=x$ is given by$\begin{bmatrix} 1 & 0 \\ 0 & -1 \end{bmatrix} \\$$\begin{bmatrix} -1 &...
asked
Feb 9, 2019
Linear Algebra
gateme-2019-set2
linear-algebra
matrix-algebra
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–
1
answers
0
votes
GATE2019 ME-2: 19
If $x$ is the mean of data $3, x, 2$ and $4$, then the mode is _____
If $x$ is the mean of data $3, x, 2$ and $4$, then the mode is _____
asked
Feb 9, 2019
Probability and Statistics
gateme-2019-set2
numerical-answers
probability-and-statistics
statistics
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–
0
answers
0
votes
GATE2019 ME-2: 20
The figure shows an idealized plane truss. If a horizontal force of $300$ N is applied at point A, then the magnitude of the force produced in member CD is ____ N
The figure shows an idealized plane truss. If a horizontal force of $300$ N is applied at point A, then the magnitude of the force produced in member CD is ____ N
asked
Feb 9, 2019
Applied Mechanics and Design
gateme-2019-set2
numerical-answers
applied-mechanics-and-design
engineering-mechanics
trusses
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