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#GATE QUESTION BANK
The minimum number of equal length subintervals needed to approximate $\int_{1}^{2}xe^xdx$ to an accuracy of atleast (10^(6))/3 using trapezoidal rule is __________.
edited
Jul 15
in
Numerical Methods
by
Gokulan K
(
120
points)
#gatequestionbank
0
votes
1
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GATE2020ME2GA5
If $P,Q,R,S$ are four individuals, how many teams of size exceeding one can be formed, with $Q$ as a member? $5$ $6$ $7$ $8$
answered
Jul 15
in
General Aptitude
by
prnv28
(
140
points)
gate2020me2
0
votes
2
answers
GATE2020ME2GA3
Select the word that fits the analogy: Do:Undo :: Trust: _____ Entrust Intrust Distrust Untrust
answered
Jul 15
in
General Aptitude
by
TheAnteamatter
(
260
points)
gate2020me2
0
votes
2
answers
GATE2020ME2GA1
This book, including all its chapters,______interesting. The students as well as the instructor_____ in agreement about it. is, was are, are is, are were, was
answered
Jul 15
in
General Aptitude
by
TheAnteamatter
(
260
points)
gate2020me2
0
votes
1
answer
GATE2020ME2GA4
Stock markets _____at the news of the coup. poised plunged plugged probed
answered
Jul 15
in
General Aptitude
by
TheAnteamatter
(
260
points)
gate2020me2
0
votes
1
answer
GATE2020ME2GA7
Select the next element of the series: Z, WV, RQP,___ LKJI JIHG KJIH NMLK
answered
Jul 15
in
General Aptitude
by
TheAnteamatter
(
260
points)
gate2020me2
0
votes
1
answer
GATE2020ME2GA2
People were prohibited_____ their vehicles near the entrance of the main administrative building. to park from parking parking to have parked
answered
Jul 3
in
General Aptitude
by
Jay KHINCHI
(
220
points)
gate2020me2
0
votes
1
answer
GATE2020ME1: 52
One kg of air, initially at a temperature of $127^{\circ}C$ , expands reversibly at a constant pressure until the volume is doubled. If the gas constant of air is $287\: J/kg.K$, the magnitude of work transfer is ________ $kJ$ (round off to $2$ decimal places).
answered
Jul 3
in
Others
by
nadim96
(
190
points)
gate2020me1
numericalanswers
fluidmechanicsandthermalscience
thermodynamics
+1
vote
1
answer
Self doubt
With increase in pressure the bulk modulus of elasticity__?
answered
Jul 3
in
Fluid Mechanics
by
nadim96
(
190
points)
0
votes
0
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GATE2020ME25
The value of the following complex integral, with $C$ representing the unit circle centered at origin in the counterclockwise sense, is: $\displaystyle{}\int_{C}\frac{z^{2}+1}{z^{2}2z}dz$ $8\pi i$ $8\pi i$ $\pi i$ $\pi i$
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by
soujanyareddy13
(
100
points)
gate2020me2
engineeringmathematics
0
votes
0
answers
GATE2020ME1: 55
The indicated power developed by an engine with compression ratio of $8$, is calculated using an airstandard Otto cycle (constant properties). The rate of heat addition is $10\: kW$ ... of the engine is $80$ percent. The brake power output of the engine is _________$kW$ (round off to one decimal place).
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May 5
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by
soujanyareddy13
(
100
points)
gate2020me1
numericalanswers
fluidmechanicsandthermalscience
i.cengines
0
votes
0
answers
GATE2020ME1: 54
For a Kaplan (axial flow) turbine, the outlet blade velocity diagram at a section is shown in the figure. The diameter at this section is $3\:m$.The hub and tip diameters of the blade are $2\:m$ and $4\:m$, respectively. The water volume flow ... rotational speed of the turbine is $300\:rpm$. The blade outlet angle $\beta$ is ________ degrees (round off to one decimal place).
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by
soujanyareddy13
(
100
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gate2020me1
numericalanswers
fluidmechanicsandthermalscience
applications
kaplanturbines
0
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0
answers
GATE2020ME1: 53
For an ideal Rankine cycle operating between pressures of $30$ bar and $0.04$ bar,the work output from the turbine is $903\: kJ/kg$ and the work input to the feed pump is $3\: kJ/kg$. The specific steam consumption is _________ $kg/kW.h$ round off to $2$ decimal places).
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May 5
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by
soujanyareddy13
(
100
points)
gate2020me1
numericalanswers
fluidmechanicsandthermalscience
thermodynamics
0
votes
0
answers
GATE2020ME1: 51
Air (ideal gas) enters a perfectly insulated compressor at a temperature of $310\: K$. The pressure ratio of the compressor is $6$. Specific heat at constant pressure for air is $1005\: J/kg . K$ and ratio of specific heats at constant pressure ... difference in enthalpies of air between the exit and the inlet of the compressor is _________ $kJ/kg$ (round off to nearest integer).
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by
soujanyareddy13
(
100
points)
gate2020me1
numericalanswers
fluidmechanicsandthermalscience
thermodynamics
0
votes
0
answers
GATE2020ME1: 50
Air discharges steadily through a horizontal nozzle and impinges on a stationary vertical plate as shown in figure. The inlet and outlet areas of the nozzle are $0.1\:m^{2}\:\text{and}\:0.02\:m^{2}$ ... is $0.36\:kPa$, the gauge pressure at point $O$ on the plate is __________ $kPa$ (round off to two decimal places).
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by
soujanyareddy13
(
100
points)
gate2020me1
numericalanswers
fluidmechanicsandthermalscience
fluidmechanics
0
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0
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GATE2020ME1: 49
Consider steady, viscous, fully developed flow of a fluid through a circular pipe of internal diameter $\text{D}$. We know that the velocity profile forms a paraboloid about the pipe centre line, given by: $V=C\left(r^{2}\dfrac{D^{2}}{4}\right) m/s$ ... the control surface $\text{AB}$, as shown in the figure, is proportional to $D^{n}$. The value of $n$ is ________.
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by
soujanyareddy13
(
100
points)
gate2020me1
numericalanswers
fluidmechanicsandthermalscience
fluidmechanics
flowthroughpipes
0
votes
0
answers
GATE2020ME1: 48
$\textbf{Consider two cases as below.}$ $\textbf{Case 1:}$ A company buys $1000$ pieces per year of a certain part from vendor $'X'.$ The changeover time is $2$ hours and the price is $Rs.\: 10$ per piece. The holding cost rate per part is $10\%$ ... reduction in the annual cost of $\text{Case 2}$, as compared to $\text{Case 1}$ is __________ (round off to $2$ decimal places).
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by
soujanyareddy13
(
100
points)
gate2020me1
numericalanswers
materialsmanufacturingandindustrialengineering
operationsresearch
0
votes
0
answers
GATE2020ME1: 47
Two business owners Shveta and Ashok run their business in two different states. Each of them, independent of the other, produces two products $A$ and $B$, sells them at $Rs.\:2,000$ per kg and $Rs.\:3,000$ per kg, respectively, and uses ... value of the difference in daily (optimal) revenue of Shveta and Ashok is _________ thousand Rupees (round off to $2$ decimal places).
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by
soujanyareddy13
(
100
points)
gate2020me1
numericalanswers
materialsmanufacturingandindustrialengineering
operationsresearch
0
votes
0
answers
GATE2020ME1: 46
The thickness of a steel plate with material strength coefficient of $210\: MPa$, has to be reduced from $20\: mm$ to $15\: mm$ in a single pass in a twohigh rolling mill with a roll radius of $450\: mm$ and rolling velocity of $28\: m/min$. If the ... ). Note: $\text{Average Flow Stress = Material Strength Coefficient}\times \dfrac{\left (\text{True Strain} \right )^{n}}{(1+n)}$
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May 5
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by
soujanyareddy13
(
100
points)
gate2020me1
numericalanswers
materialsmanufacturingandindustrialengineering
machiningandmachinetooloperation
0
votes
0
answers
GATE2020ME1: 45
In a turning process using orthogonal tool geometry, a chip length of $100\: mm$ is obtained for an uncut chip length of $250\: mm$. The cutting conditions are: cutting speed $= 30\: m/min$, rake angle $ = 20^{\circ}$. The shear plane angle is _______ degrees (round off to one decimal place).
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May 5
in
Others
by
soujanyareddy13
(
100
points)
gate2020me1
numericalanswers
materialsmanufacturingandindustrialengineering
machiningandmachinetooloperation
0
votes
0
answers
GATE2020ME1: 43
The following data applies to basic shaft system: tolerance for hole$ = 0.002\: mm$, tolerance for shaft$ = 0.001\: mm$, allowance $= 0.003\: mm$, basic size $= 50\: mm$. The maximum hole size is _______ $mm$ (round off to $3$ decimal places).
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May 5
in
Others
by
soujanyareddy13
(
100
points)
gate2020me1
numericalanswers
materialsmanufacturingandindustrialengineering
metrologyandinspection
fitsandtolerance
0
votes
0
answers
GATE2020ME1: 42
A slot of $25\:mm\times 25\:mm$ is to be milled in a workpiece of $300\: mm$ length using a side and face milling cutter of diameter $100\: mm$, width $25\: mm$ and having $20$ teeth.For a depth of cut $5\: mm$ ... and approach and over travel distance of $5\: mm$ each, the time required for milling the slot is ________ minutes (round off to one decimal place).
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May 5
in
Others
by
soujanyareddy13
(
100
points)
gate2020me1
numericalanswers
materialsmanufacturingandindustrialengineering
machiningandmachinetoolsoperation
0
votes
0
answers
GATE2020ME1: 41
The magnitude of reaction force at joint $C$ of the hingebeam shown in the figure is __________$kN$ (round off to $2$ decimal places).
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May 5
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Others
by
soujanyareddy13
(
100
points)
gate2020me1
numericalanswers
appliedmechanicsanddesign
mechanicsofmaterials
deflectionofbeams
0
votes
0
answers
GATE2020ME1: 40
The barrier shown between two water tanks of unit width $(1\: m)$ into the plane of the screen in modeled as a cantilever. Taking the density of water as $1000\:kg/m^{3}$ , and the acceleration due to gravity as $10\:m/s^{2}$ , the maximum absolute bending moment developed in the cantilever is _________$kN\cdot m$ (round off to the nearest integer).
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May 5
in
Others
by
soujanyareddy13
(
100
points)
gate2020me1
numericalanswers
appliedmechanicsanddesign
mechanicsofmaterials
deflectionofbeams
0
votes
0
answers
GATE2020ME1: 39
A rectangular steel bar of length $500\: mm$, width $100\: mm$, and thickness $15\: mm$ is cantilevered to a $200\: mm$ steel channel using $4$ bolts, as shown For an external load of $10\: kN$ applied at the tip of the steel bar, the resultant shear load on the bolt at $B$, is _______$kN$ (round off to one decimal place).
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May 5
in
Others
by
soujanyareddy13
(
100
points)
gate2020me1
numericalanswers
appliedmechanicsanddesign
mechanicsofmaterials
0
votes
0
answers
GATE2020ME1: 36
An analytic function of a complex variable $z=x + iy \left ( i=\sqrt{1} \right )$ is defined as $f\left ( z \right )=x^{2}y^{2}+i\psi \left ( x,y \right ),$ where $\psi \left ( x,y \right )$ is a real function. The value of the imaginary part of $f(z)$ at $z=\left ( 1+i \right )$ is __________ (round off to $2$ decimal places).
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May 5
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Others
by
soujanyareddy13
(
100
points)
gate2020me1
numericalanswers
engineeringmathematics
0
votes
0
answers
GATE2020ME1: 35
Consider two exponentially distributed random variables $\text{X and Y}$, both having a mean of $0.50$. Let $Z=X+Y$ and $r$ be the correlation between $\text{X and Y}$.If the variance of $Z$ equals $0$, then the value of $r$ is __________ (roundoff to $2$ decimal places).
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May 5
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Others
by
soujanyareddy13
(
100
points)
gate2020me1
numericalanswers
engineeringmathematics
differentialequation
randomvariables
0
votes
0
answers
GATE2020ME1: 34
A small metal bead $(\text{radius}\: 0.5\: mm)$, initially at $100^{\circ}C$ , when placed in a stream of fluid at $20^{\circ}C$ , attains a temperature of $28^{\circ}C$ in $4.35$ ... heat transfer coefficient $(in\:W/m^{2}.K)$ between the metal bead and the fluid stream is $283.3$ $299.8$ $149.9$ $449.7$
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May 5
in
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by
soujanyareddy13
(
100
points)
gate2020me1
fluidmechanicsandthermalscience
heattransfer
0
votes
0
answers
GATE2020ME1: 33
For an assembly line, the production rate was $4$ pieces per hour and the average processing time was $60$ minutes. The $\text{WIP}$ inventory was calculated. Now, the production rate is kept the same, and the average processing time is brought down by $30$ percent. As ... , the $\text{WIP}$ inventory decreases by $25\%$ increases by $25\%$ decreases by $30\%$ increases by $30\%$
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by
soujanyareddy13
(
100
points)
gate2020me1
materialsmanufacturingandindustrialengineering
operationsresearch
0
votes
0
answers
GATE2020ME1: 32
A strip of thickness $40\:mm$ is to be rolled to a thickness of $20\:mm$ using a twohigh mill having rolls of diameter $200\:mm$. Coefficient of friction and arc length in $mm$, respectively are $0.45\:\text{and}\:38.84$ $0.39\:\text{and}\:38.84$ $0.39\:\text{and}\:44.72$ $0.45\:\text{and}\:44.72$
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Others
by
soujanyareddy13
(
100
points)
gate2020me1
materialsmanufacturingandindustrialengineering
castingformingandjoiningprocess
0
votes
0
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GATE2020ME1: 31
A rigid massless rod of length $L$ is connected to a disc (pulley) of mass $m$ and radius $r = L/4$ through a frictionless revolute joint. The other end of that rod is attached to a wall through a frictionless hinge. A spring of stiffness $2k$ is attached to the rod at its midspan. ... ${\frac{3}{\sqrt{2}}}\sqrt{\frac{k}{m}}$ $\sqrt{3}\sqrt{\frac{k}{m}}$ $\sqrt{\frac{k}{m}}$
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by
soujanyareddy13
(
100
points)
gate2020me1
appliedmechanicsanddesign
machinedesign
springs
0
votes
0
answers
GATE2020ME1: 30
The truss shown in the figure has four members of length $\text{l}$ and flexural rigidity $\text{EI}$, and one member of length $l\sqrt{2}$ and flexural rigidity $\text{4EI}$. The truss is loaded by a pair of forces of magnitude $\text{P}$ ... $\frac{\pi ^{2}EI}{l^{2}}$ $\frac{2\pi ^{2}EI}{l^{2}}$ $\frac{\pi ^{2}EI}{2l^{2}}$
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by
soujanyareddy13
(
100
points)
gate2020me1
appliedmechanicsanddesign
engineeringmechanics
trusses
0
votes
0
answers
GATE2020ME1: 29
The $2$ kg block shown in the figure (top view) rests on a smooth horizontal surface and is attached to a massless elastic cord that has a stiffness $5\: N/m$. The cord hinged at $\text{O}$ is initially unstretched and always remains elastic. The block is given a velocity $v$ ... $0.4\: m$ is $0.83$ $1.07$ $1.36$ $1.50$
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by
soujanyareddy13
(
100
points)
gate2020me1
appliedmechanicsanddesign
mechanicsofmaterials
0
votes
0
answers
GATE2020ME1: 26
The evaluation of the definite integral $\int ^{1.4}_{ – 1}x \mid x \mid dx$ by using Simpson’s $1/3^{rd}$ (one  third) rule with step size $h=0.6$ yields $0.914$ $1.248$ $0.581$ $0.592$
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by
soujanyareddy13
(
100
points)
gate2020me1
engineeringmathematics
0
votes
0
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GATE2020ME1: 25
In a concentric tube counterflow heat exchanger, hot oil enters at $102^{\circ}C$ and leaves at $65^{\circ}C$. Cold water enters at $25^{\circ}C$ and leaves at $42^{\circ}C$. The log mean temperature difference $(LMTD)$ is ________ $^{\circ}C$ (round off to one decimal place).
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by
soujanyareddy13
(
100
points)
gate2020me1
numericalanswers
fluidmechanicsandthermalscience
heattransfer
heatexchanger
0
votes
0
answers
GATE2020ME1: 24
The compressor of a gas turbine plant, operating on an ideal intercooled Brayton cycle, accomplishes an overall compression ratio of $6$ in a twostage compression process. Intercooling is used to cool the air coming out from the first stage to the ... gas are constant, the intercooling pressure for minimum compressor work is __________ $kPa$ (rounded off to $2$ decimal places).
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by
soujanyareddy13
(
100
points)
gate2020me1
numericalanswers
fluidmechanicsandthermalscience
applications
turbomachinary
0
votes
0
answers
GATE2020ME1: 23
A company is hiring to fill four managerial vacancies. The candidates are five men and three women. If every candidate is equally likely to be chosen then the probability that at least one woman will be selected is _______(round off to $2$ decimal places).
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soujanyareddy13
(
100
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gate2020me1
numericalanswers
materialsmanufacturingandindustrialengineering
operationsresearch
0
votes
0
answers
GATE2020ME1: 22
A sheet metal with a stock hardness of $250\: HRC$ has to be sheared using a punch and a die having a clearance of $\text{1 mm}$ between them. If the stock hardness of the sheet metal increases to $400\: HRC$, the clearance between the punch and the die should be _________ $mm.$
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100
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gate2020me1
numericalanswers
materialsmanufacturingandindustrialengineering
castingformingandjoiningprocess
0
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0
answers
GATE2020ME1: 20
A flywheel is attached to an engine to keep its rotational speed between $100\: rad/s$ and $110\: rad/s $. If the energy fluctuation in the flywheel between these two speeds is $1.05\: kJ$ then the moment of inertia of the flywheel is____________$kg \cdot m^{2}$ (rounded off to $2$ decimal places).
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soujanyareddy13
(
100
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gate2020me1
numericalanswers
appliedmechanicsanddesign
theoryofmachines
flywheelsandgovernors
0
votes
0
answers
GATE2020ME1: 19
For three vectors $\overrightarrow{A}=2\widehat{j}3\widehat{k},\:\overrightarrow{B}=2\widehat{i}+\widehat{k}\:\:\text{and}\:\overrightarrow{C}=3\widehat{i}\widehat{j},\:\text{where}\:\widehat{i},\:\widehat{j}\:\text{and}\:\widehat{k}$ are ... system, the value of $\left ( \overrightarrow{A}.\left ( \overrightarrow{B}\times \overrightarrow{C} \right )+6 \right )$ is __________.
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(
100
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gate2020me1
numericalanswers
engineeringmathematics
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