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Recent questions tagged gateme-2020-set1

1 vote
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He is known for his unscrupulous ways. He always sheds ________tears to deceive people. fox’s crocodile’s crocodile fox
asked Feb 19, 2020 in Verbal Ability jothee 4.9k points
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Jofra Archer, the England fast bowler, is _______than accurate. more fast faster less fast more faster
asked Feb 19, 2020 in Verbal Ability jothee 4.9k points
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Select the word that fits the analogy: Build : Building :: Grow : ________ Grown Grew Growth Growed
asked Feb 19, 2020 in Verbal Ability jothee 4.9k points
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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
asked Feb 19, 2020 in Verbal Ability jothee 4.9k points
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Define $[x]$ as the greatest integer less than or equal to $x$, for each $x\in \left (- \infty, \infty \right ).$ If $y = [x]$, then area under $y$ for $x\in \left [ 1,4 \right ]$ is _______. $1$ $3$ $4$ $6$
asked Feb 19, 2020 in Numerical Ability jothee 4.9k points
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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 web-based platforms in the project. Based on the above paragraph, which of the following is ... on web-based platforms Funds raised through coerced contributions on web-based platforms Funds raised through voluntary contributions on web-based platforms
asked Feb 19, 2020 in Verbal Ability jothee 4.9k points
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$P, Q, R$ and $S$ are to be uniquely coded using $\alpha$ and $\beta$. If $P$ is coded as $\alpha \alpha$ and $Q$ as $\alpha \beta$ , then $R$ and $S$, respectively, can be coded as ________. $\beta \alpha \:\text{and}\:\alpha \beta$ $\beta \beta \:\text{and}\:\alpha \alpha$ $\alpha \beta\:\text{and}\:\beta \beta$ $\beta\alpha \:\text{and}\:\beta \beta$
asked Feb 19, 2020 in Analytical Aptitude jothee 4.9k points
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The sum of the first $n$ terms in the sequence $8,\:88,\:888,\:8888,\dots$ is ________. $\dfrac{81}{80}\left ( 10^{n}-1 \right )+\dfrac{9}{8}n \\$ $\dfrac{81}{80}\left ( 10^{n}-1 \right )-\dfrac{9}{8}n \\$ $\dfrac{80}{81}\left ( 10^{n}-1 \right )+\dfrac{8}{9}n \\$ $\dfrac{80}{81}\left ( 10^{n}-1 \right )-\dfrac{8}{9}n$
asked Feb 19, 2020 in Numerical Ability jothee 4.9k points
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Select the graph that schematically represents BOTH $y=x^{m}\:\text{and}\:y=x^{1/m}$ properly in the interval $0\leq x \leq 1$, for integer values of $m,$ where $m > 1.$
asked Feb 19, 2020 in Numerical Ability jothee 4.9k points
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The bar graph shows the data of the students who appeared and passed in an examination for four schools $P, Q, R$, and $S$. The average of success rates $\text{(in percentage)}$ of these four schools is _______. $58.5\%$ $58.8\%$ $59.0\%$ $59.3\%$
asked Feb 19, 2020 in Numerical Ability jothee 4.9k points
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Multiplication of real valued square matrices of same dimension is associative commutative always positive definite not always possible to compute
asked Feb 19, 2020 in Linear Algebra jothee 4.9k points
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The value of $\displaystyle{}\lim_{x \to \infty}\left ( \dfrac{1 -e^{-c\left ( 1-x \right )}}{1-x\:e^{-c\left ( 1-x \right )}} \right )$ is $\text{c} \\$ $\text{c + 1} \\$ $\dfrac{c}{c+1} \\$ $\dfrac{c+1}{c}$
asked Feb 19, 2020 in Calculus jothee 4.9k points
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The Laplace transform of a function $f(t)$ is $L( f )=\dfrac{1}{(s^{2}+\omega ^{2})}.$ Then, $f(t)$ is $f\left ( t \right )=\dfrac{1}{\omega ^{2}}\left ( 1-\cos\:\omega t \right ) \\$ $f\left ( t \right )=\dfrac{1}{\omega}\cos\:\omega t \\$ $f\left ( t \right )=\dfrac{1}{\omega}\sin\:\omega t \\$ $f\left ( t \right )=\dfrac{1}{\omega^{2}}\left ( 1-\sin\:\omega t \right )$
asked Feb 19, 2020 in Differential Equations jothee 4.9k points
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Which of the following function $f(z)$, of the complex variable $z,$ is NOT analytic at all the points of the complex plane? $f\left ( z \right )=z^{2}$ $f\left ( z \right )=e^{z}$ $f\left ( z \right )=\sin z$ $f\left ( z \right )=\log z$
asked Feb 19, 2020 in Calculus jothee 4.9k points
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The members carrying zero force (i.e. zero-force members) in the truss shown in the figure, for any load $P > 0$ with no appreciable deformation of the truss (i.e.with no appreciable change in angles between the members), are $BF$ and $DH$ only $BF, DH,$ and $GC$ only $BF, DH, GC, CD$ and $DE$ only $BF, DH, GC, FG$ and $GH$ only
asked Feb 19, 2020 in Applied Mechanics and Design jothee 4.9k points
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A single-degree-of-freedom oscillator is subjected to harmonic excitation $F(t) = F_{0}\cos(\omega t)$ as shown in the figure. The non-zero value of $\omega$, for which the amplitude of the force transmitted to the ground will be $F_{0}$, is $\sqrt{\dfrac{k}{2m}} \\$ $\sqrt{\dfrac{k}{m}} \\$ $\sqrt{\dfrac{2k}{m}} \\$ $2\sqrt{\dfrac{k}{m}}$
asked Feb 19, 2020 in Applied Mechanics and Design jothee 4.9k points
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The stress state at a point in a material under plane stress condition is equi-biaxial tension with a magnitude of $10\: MPa$. If one unit on the $\sigma -\tau$ plane is $1\: MPa$, the Mohr's circle representation of the state-of-stress is given by a circle with a radius ... radius of $10$ units on the $\sigma -\tau$ plane a point on the $\tau$ axis at a distance of $10$ units from the origin
asked Feb 19, 2020 in Applied Mechanics and Design jothee 4.9k points
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A four bar mechanism is shown below. For the mechanism to be a crank-rocker mechanism, the length of the link $PQ$ can be $80\: mm$ $200\: mm$ $300\: mm$ $350\: mm$
asked Feb 19, 2020 in Applied Mechanics and Design jothee 4.9k points
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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 only ... 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
asked Feb 19, 2020 in Applied Mechanics and Design jothee 4.9k points
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The crystal structure of $\gamma$ iron $\text{(austenite phase)}$ is $BCC$ $FCC$ $HCP$ $BCT$
asked Feb 19, 2020 in Engineering Materials jothee 4.9k points
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Match the following ... $P-1,\:Q-1,\:R-3\:,S-2$ $P-3,\:Q-3,\:R-1\:,S-3$ $P-4,\:Q-3,\:R-2\:,S-1$
asked Feb 19, 2020 in Heat Transfer jothee 4.9k points
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In the Critical Path Method $(CPM)$, the cost-time slope of an activity is given by $\dfrac{\text{Crash Cost – Normal Cost}}{\text{Crash Time}} \\$ $\dfrac{\text{Normal Cost}}{\text{Crash Time – Normal Time}} \\$ $\dfrac{\text{Crash Cost}}{\text{Crash Time – Normal Time}} \\ $ $\dfrac{\text{Crash Cost – Normal Cost}}{\text{Normal Time – Crash Time}}$
asked Feb 19, 2020 in Operations Research jothee 4.9k points
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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
asked Feb 19, 2020 in Fluid Mechanics jothee 4.9k points
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Match the following non-dimensional numbers with the corresponding definitions: ... $P-3, Q-1, R-2, S-4$ $P-4, Q-3, R-1, S-2$ $P-3, Q-1, R-4, S-2$
asked Feb 19, 2020 in Fluid Mechanics jothee 4.9k points
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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 $v$ is valid? $-4xz + 6xy$ $ – 4xy – 4xz$ $4xz – 6xy$ $4xy + 4xz$
asked Feb 19, 2020 in Fluid Mechanics jothee 4.9k points
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For an ideal gas, the value of the Joule-Thomson coefficient is positive negative zero indeterminate
asked Feb 19, 2020 in Thermodynamics jothee 4.9k points
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For an ideal gas, a constant pressure line and a constant volume line intersect at a point, in the Temperature $(T)$ 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 of the constant ... $\dfrac{C_{P}}{C_{V}} \\$ $\dfrac{C_{P}-C_{V}}{C_{V}} \\$ $\dfrac{C_{V}}{C_{P}}$
asked Feb 19, 2020 in Thermodynamics jothee 4.9k points
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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 unit ... coordinate system, the value of $\left ( \overrightarrow{A}.\left ( \overrightarrow{B}\times \overrightarrow{C} \right )+6 \right )$ is __________.
asked Feb 19, 2020 in Engineering Mathematics jothee 4.9k points
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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).
asked Feb 19, 2020 in Applied Mechanics and Design jothee 4.9k points
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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 _________ $mm.$
asked Feb 19, 2020 in Materials, Manufacturing and Industrial Engineering jothee 4.9k points
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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).
asked Feb 19, 2020 in Materials, Manufacturing and Industrial Engineering jothee 4.9k points
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The compressor of a gas turbine plant, operating on an ideal intercooled Brayton cycle, accomplishes an overall compression ratio of $6$ in a two-stage compression process. Intercooling is used to cool the air coming out from the first stage to the inlet temperature ... gas are constant, the intercooling pressure for minimum compressor work is __________ $kPa$ (rounded off to $2$ decimal places).
asked Feb 19, 2020 in Applications jothee 4.9k points
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In a concentric tube counter-flow 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).
asked Feb 19, 2020 in Heat Transfer jothee 4.9k points
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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 $0.914$ $1.248$ $0.581$ $0.592$
asked Feb 19, 2020 in Numerical Methods jothee 4.9k points
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A vector field is defined as ... spherical shell formed by two concentric spheres with origin as the center, and internal and external radii of $1$ and $2$, respectively, is $0$ $2\pi$ $4\pi$ $8\pi$
asked Feb 19, 2020 in Calculus jothee 4.9k points
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Bars of square and circular cross-section with $0.5\: m$ length are made of a material with shear strength of $20\: MPa$. The square bar cross-section dimension is $4\:cm \times$ $4\:cm$ and the cylindrical bar cross-section diameter ... to the applied load as per maximum shear stress theory? Tensile and compressive load specimens Torsional load specimen Bending load specimen None of the specimens
asked Feb 19, 2020 in Mechanics of Materials jothee 4.9k points
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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 $v$ of $1.5\: m/s$ ... in $m/s$ of the block at the instant the cord is stretched by $0.4\: m$ is $0.83$ $1.07$ $1.36$ $1.50$
asked Feb 19, 2020 in Applied Mechanics and Design jothee 4.9k points
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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 $\text{P}$, as shown in the figure. The smallest value of $\text{P}$, at ... $\dfrac{2\pi ^{2}EI}{l^{2}} \\$ $\dfrac{\pi ^{2}EI}{2l^{2}}$
asked Feb 19, 2020 in Applied Mechanics and Design jothee 4.9k points
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