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GATE2020ME1GA: 1
He is known for his unscrupulous ways. He always sheds ________tears to deceive people. fox’s crocodile’s crocodile fox
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GATE2020ME1GA: 2
Jofra Archer, the England fast bowler, is _______than accurate. more fast faster less fast more faster
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GATE2020ME1GA: 3
Select the word that fits the analogy: Build : Building :: Grow : ________ Grown Grew Growth Growed
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GATE2020ME1GA: 4
I do not think you know the case well enough to have opinions. Having said that, I agree with your other point. What does the phrase “having said that” mean in the given text? as opposed to what I have said despite what I have said in addition to what I have said contrary to what I have said
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GATE2020ME1GA: 5
Define $\text{[x]}$ as the greatest integer less than or equal to $\text{x}$, for each $x\in \left ( \infty, \infty \right ).$ If $\text{y = [x]}$, then area under $\text{y}$ for $x\in \left [ 1,4 \right ]$ is _______. $1$ $3$ $4$ $6$
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GATE2020ME1GA: 6
Crowd funding deals with mobilisation of funds for a project from a large number of people, who would be willing to invest smaller amounts through webbased platforms in the project. Based on the above paragraph, which of the ... platforms. Funds raised through coerced contributions on webbased platforms. Funds raised through voluntary contribution on webbased platforms.
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GATE2020ME1GA: 7
$\text{P, Q, R and S}$ are to be uniquely coded using $\alpha$ and $\beta$. If $\text{P}$ is coded as $\alpha \alpha$ and $\text{Q}$ as $\alpha \beta$ , then $\text{R and S}$, respectively, can be coded as ________. $\beta \alpha \:and\:\alpha \beta$ $\beta \beta \:and\:\alpha \alpha$ $\alpha \beta\:and\:\beta \beta$ $\beta\alpha \:and\:\beta \beta$
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GATE2020ME1GA: 8
The sum of the first $\text{n}$ terms in the sequence $8,\:88,\:888,\:8888,\:…$ is ________. $\frac{81}{80}\left ( 10^{n}1 \right )+\frac{9}{8}n$ $\frac{81}{80}\left ( 10^{n}1 \right )\frac{9}{8}n$ $\frac{80}{81}\left ( 10^{n}1 \right )+\frac{8}{9}n$ $\frac{80}{81}\left ( 10^{n}1 \right )\frac{8}{9}n$
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GATE2020ME1GA: 9
Select the graph that schematically represents $\text{BOTH}$ $y=x^{m}\:and\:y=x^{1/m}$ properly in the interval $0\leq x\leq 1$, for integer values of $\text{m}$, where $\text{m > 1}$.
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GATE2020ME1GA: 10
The bar graph shows the data of the students who appeared and passed in an examination for four schools $\text{P, Q, R and S}$. The average of success rates $\text{(in percentage)}$ of these four schools is _______. $58.5$% $58.8$% $59.0$% $59.3$%
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GATE2020ME1: 1
Multiplication of real valued square matrices of same dimension is associative commutative always positive definite not always possible to compute
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GATE2020ME1: 2
The value of $\lim_{x\rightarrow 1}\left ( \frac{1 e^{c\left ( 1x \right )}}{1x\:e^{c\left ( 1x \right )}} \right )$ is $\text{c}$ $\text{c + 1}$ $\frac{c}{c+1}$ $\frac{c+1}{c}$
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GATE2020ME1: 3
The Laplace transform of a function $\text{f(t)}$ is $L\left ( f \right )=\frac{1}{s^{2}+\omega ^{2}}.$ Then, $\text{f(t)}$ is $f\left ( t \right )=\frac{1}{\omega ^{2}}\left ( 1\cos\:\omega t \right )$ ... $f\left ( t \right )=\frac{1}{\omega^{2}}\left ( 1\sin\:\omega t \right )$
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GATE2020ME1: 4
Which of the following function $\text{f(z)}$, of the complex variable $\text{z}$, is $\text{NOT}$ analytic at all the points of the complex plane? $f\left ( z \right )=z^{2}$ $f\left ( z \right )=e^{z}$ $f\left ( z \right )=\sin\:z$ $f\left ( z \right )=\log\:z$
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GATE2020ME1: 5
The members carrying zero force (i.e. zeroforce members) in the truss shown in the figure, for any load $\text{P > 0}$ with no appreciable deformation of the truss (i.e. with no appreciable change in angles between the members), are $\text{BF and DH only}$ $\text{BF, DH and GC only}$ $\text{BF, DH, GC, CD and DE only}$ $\text{BF, DH, GC, FG and GH only}$
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GATE2020ME1: 6
A singledegreeoffreedom oscillator is subjected to harmonic excitation $F\left ( t \right )=F_{0}\cos\left ( \omega t \right )$ as shown in the figure. The nonzero value of $\omega$, for which the amplitude of the force transmitted to the ground will be $F_{0}$, is $\sqrt{\frac{k}{2m}}$ $\sqrt{\frac{k}{m}}$ $\sqrt{\frac{2k}{m}}$ $2\sqrt{\frac{k}{m}}$
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GATE2020ME1: 7
The stress state at a point in a material under plane stress condition is equibiaxial tension with a magnitude of $\text{10 MPa}$. If one unit on the $\sigma \tau$ plane is $\text{1 MPa}$, the Mohr's circle representation of the stateofstress is given by a ... of $10$ units on the $\sigma \tau$ plane a point on the $\tau$ axis at a distance of $10$ units from the origin
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GATE2020ME1: 8
A four bar mechanism is shown below. For the mechanism to be a crankrocker mechanism, the length of the link $\text{PQ}$ can be $\text{80 mm}$ $\text{200 mm}$ $\text{300 mm}$ $\text{350 mm}$
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GATE2020ME1: 9
A helical gear with $20^{\circ}$ pressure angle and $30^{\circ}$ helix angle mounted at the mid span of a shaft that is supported between two bearings at the ends. The nature of the stresses induced in the shaft is normal stress due to bending ... in two planes and axial loading; shear stress due to torsion normal stress due to bending in two planes; shear stress due to torsion
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GATE2020ME1: 10
The crystal structure of $\gamma$ iron $\text{(austenite phase)}$ is $\text{BCC}$ $\text{FCC}$ $\text{HCP}$ $\text{BCT}$
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GATE2020ME1: 11
Match the following ... $P3,\:Q3,\:R1\:,S3$ $P4,\:Q3,\:R2\:,S1$
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GATE2020ME1: 12
The base of a brass bracket needs rough grinding. For this purpose, the most suitable grinding wheel grade specification is $\text{C30Q12V}$ $\text{A50G8V}$ $\text{C90J4B}$ $\text{A30D12V}$
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GATE2020ME1: 13
In the Critical Path Method $\text{(CPM)}$, the costtime slope of an activity is given by $\frac{Crash\:CostNormal\:Cost}{Crash\:Time}$ $\frac{Normal\:Cost}{Crash\:TimeNormal\:Time}$ $\frac{Crash\:Cost}{Crash\:TimeNormal\:Time}$ $\frac{Crash\:CostNormal\:Cost}{Normal\:TimeCrash\:Time}$
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GATE2020ME1: 14
Froude number is the ratio of buoyancy forces to viscous forces inertia forces to viscous forces buoyancy forces to inertia forces inertia forces to gravity forces
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GATE2020ME1: 15
Match the following nondimensional numbers with the corresponding definitions: ... $P3, Q1, R2, S4$ $P4, Q3, R1, S2$ $P3, Q1, R4, S2$
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GATE2020ME1: 16
The velocity field of an incompressible flow in a Cartesian system is represented by $\overrightarrow{V}=2\left ( x^{2}y^{2} \right )\widehat{i}+v\widehat{j}+3\widehat{k}$ Which one of the following expressions for $\text{v}$ is valid? $\text{4xz + 6xy}$ $\text{4xy – 4xz}$ $\text{4xz – 6xy}$ $\text{4xy + 4xz}$
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GATE2020ME1: 17
For an ideal gas, the value of the JouleThomson coefficient is positive negative zero indeterminate
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GATE2020ME1: 18
For an ideal gas, a constant pressure line and a constant volume line intersect at a point, in the Temperature $\text{(T)}$ versus specific entropy $\text{(s)}$ diagram. $C_{P}$ is the specific heat at constant pressure and $C_{V}$ is the specific heat at constant volume. The ratio of the slopes ... $\frac{C_{P}}{C_{V}}$ $\frac{C_{P}C_{V}}{C_{V}}$ $\frac{C_{V}}{C_{P}}$
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GATE2020ME1: 19
For three vectors $\overrightarrow{A}=2\widehat{j}3\widehat{k},\:\overrightarrow{B}=2\widehat{i}+\widehat{k}\:and\:\overrightarrow{C}=3\widehat{i}\widehat{j},\:where\:\widehat{i},\:\widehat{j}\:and\:\widehat{k}$ are unit vectors along the ... , the value of $\left ( \overrightarrow{A}.\left ( \overrightarrow{B}\times \overrightarrow{C} \right )+6 \right )$ is _____________.
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GATE2020ME1: 20
A flywheel is attached to an engine to keep its rotational speed between $\text{100 rad/s}$ and $\text{110 rad/s}$. If the energy fluctuation in the flywheel between these two speeds is $\text{1.05 kJ}$ then the moment of inertia of the flywheel is _______________ $\text{kg}$.$m^{2}$ (rounded off to $2$ decimal places).
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GATE2020ME1: 21
A balanced rigid disc mounted on a rigid rotor has four identical point masses, each of $\text{10 grams}$, attached to four points on the $\text{100 mm}$ radius circle shown in the figure. The rotor is driven bt a motor at uniform angular ... then the magnitude of the resultant unbalance force on the rotor is ____________________$\text{N}$ (rounded off to $2$ decimal places).
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GATE2020ME1: 22
A sheet metal with a stock hardness of $\text{250 HRC}$ 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 $\text{400 HRC}$, the clearance between the punch and the die should be _____________$\text{mm}.$
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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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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 ... , the intercooling pressure for minimum compressor work is ___________________ $\text{kPa}$ (rounded off to $2$ decimal places).
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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 $\text{(LMTD)}$ is ____________________ $^{\circ}C$ (round off to one decimal place).
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GATE2020ME1: 26
The evaluation of the definite integral $\int ^{1.4}_{1}x\left  x \right \:dx$ 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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GATE2020ME1: 27
A vector field is defined as ... shell formed by two concentric spheres with origin as the center, and internal and external radii of $1$ and $2$, respectively, is $0$ $2\pi$ $4\pi$ $8\pi$
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GATE2020ME1: 28
Bars of square and circular crosssection with $\text{0.5 m}$ length are made of a material with shear strength of $\text{20 MPa}$. The square bar crosssection dimension is $4\:cm \times$ $4\:cm$ and the cylindrical ... the applied load as per maximum shear stress theory? Tensile and compressive load specimens Torsional load specimen Bending load specimen None of the specimens
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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 $\text{5 N/m}$. The cord hinged at $\text{O}$ ... of the block at the instant the cord is stretched by $\text{0.4 m}$ is $0.83$ $1.07$ $1.36$ $1.50$
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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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