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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^{...
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GATE Mechanical 2018 Set 1 | GA Question: 2
"Her _____ should not be confused with miserliness; she is ever willing to assist those in need." The word that best fills the blank in the above sentence is cleanliness punctuality frugality greatness
"Her _____ should not be confused with miserliness; she is ever willing to assist those in need."The word that best fills the blank in the above sentence iscleanlinesspu...
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GATE Mechanical 2022 Set 2 | Question: 18
Which of these processes involve$(s)$ melting in metallic workpieces? Electrochemical machining Electric discharge machining Laser beam machining Electron beam machining
Which of these processes involve$(s)$ melting in metallic workpieces?Electrochemical machiningElectric discharge machiningLaser beam machiningElectron beam machining
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GATE Mechanical 2018 Set 1 | GA Question: 1
"Going by the _____ that many hands make light work, the school ____ involved all the students in the task." The words that best fill the blanks in the above sentence are principle, principal principal, principle principle, principle principal, principal
"Going by the _____ that many hands make light work, the school ____ involved all the students in the task."The words that best fill the blanks in the above sentence arep...
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GATE Mechanical 2021 Set 2 | Question: 17
The von Mises stress at a point in a body subjected to forces is proportional to the square root of the total strain energy per unit volume plastic strain energy per unit volume dilatational strain energy per unit volume distortional strain energy per unit volume
The von Mises stress at a point in a body subjected to forces is proportional to the square root of thetotal strain energy per unit volumeplastic strain energy per unit v...
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GATE Mechanical 2021 Set 2 | GA Question: 2
Consider the following sentences: The number of candidates who appear for the $\text{GATE}$ examination is staggering. A number of candidates from my class are appearing for the $\text{GATE}$ examination. The number of candidates who appear for the $\text{GATE}$ examination are ... $\text{(i) and (iii)}$ $\text{(ii) and (iii)}$ $\text{(ii) and (iv)}$
Consider the following sentences:The number of candidates who appear for the $\text{GATE}$ examination is staggering.A number of candidates from my class are appearing fo...
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GATE2016-2-52
The surface irregularities of electrodes used in an electrochemical machining (ECM) process are $3 \: μm$ and $6 \: μm$ as shown in the figure. If the work-piece is of pure iron and $12V \: DC$ ... $F_e^{+2}$ and the Faraday constant to be $96500$ Coulomb.
The surface irregularities of electrodes used in an electrochemical machining (ECM) process are $3 \: μm$ and $6 \: μm$ as shown in the figure. If the work-piece is of ...
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GATE2019 ME-1: 51
The value of the following definite integral is __________ (round off to three decimal places) $\int_1^e (x \: \ln \: x) dx$
The value of the following definite integral is __________ (round off to three decimal places)$$\int_1^e (x \: \ln \: x) dx$$
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GATE2015-1-14
Consider a slider crank mechanism with nonzero masses and inertia. A constant torque $\tau$ is applied on the crank as shown in the figure. Which of the following plots best resembles variation of crank angle, $\theta$ versus time
Consider a slider crank mechanism with nonzero masses and inertia. A constant torque $\tau$ is applied on the crank as shown in the figure. Which of the following plots b...
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GATE2020-ME-1: 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).
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...
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GATE ME 2012 | Question: 59
Which one of the following options is the closest in meaning to the word given below? Mitigate Diminish Divulge Dedicate Denote
Which one of the following options is the closest in meaning to the word given below?MitigateDiminishDivulgeDedicateDenote
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GATE2017 ME-2: 15
If a mass of moist air contained in a closed metallic vessel is heated, then its Relative humidity decreases. Relative humidity increases. Specific humidity increases. Specific humidity decreases.
If a mass of moist air contained in a closed metallic vessel is heated, then its Relative humidity decreases.Relative humidity increases.Specific humidity increases.Speci...
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GATE Mechanical 2023 | Question: 48
The area moment of inertia about the $y$-axis of a linearly tapered section shown in the figure is __________ $\mathrm{m}^4$. (Answer in integer)
The area moment of inertia about the $y$-axis of a linearly tapered section shown in the figure is __________ $\mathrm{m}^4$.(Answer in integer)
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GATE Mechanical 2021 Set 2 | Question: 3
The mean and variance, respectively, of a binomial distribution for $n$ independent trails with the probability of success as $p$, are $\sqrt{np},np\left ( 1-2p \right )$ $\sqrt{np},\sqrt{np\left ( 1-p \right )}$ $np,np$ $np, np\left ( 1-p \right )$
The mean and variance, respectively, of a binomial distribution for $n$ independent trails with the probability of success as $p$, are$\sqrt{np},np\left ( 1-2p \right )$$...
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GATE Mechanical 2021 Set 1 | Question: 9
In modern $\text{CNC}$ machine tools, the backlash has been eliminated by preloaded ballscrews rack and pinion ratchet and pinion slider crank mechanism
In modern $\text{CNC}$ machine tools, the backlash has been eliminated bypreloaded ballscrewsrack and pinionratchet and pinionslider crank mechanism
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GATE ME 2012 | Question: 63
A political party orders an arch for the entrance to the ground in which the annual convention is being held. The profile of the arch follows the equation $y=2x-0.1x^2$ where $y$ is the height of the arch in meters. The maximum possible height of the arch is $8$ meters $10$ meters $12$ meters $14$ meters
A political party orders an arch for the entrance to the ground in which the annual convention is being held. The profile of the arch follows the equation $y=2x-0.1x^2$ w...
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GATE Mechanical 2018 Set 1 | GA Question: 3
Seven machines take $7$ minutes to make $7$ identical toys. At the same rate, how many minutes would it take for $100$ machine to make $100$ toys? $1$ $7$ $100$ $700$
Seven machines take $7$ minutes to make $7$ identical toys. At the same rate, how many minutes would it take for $100$ machine to make $100$ toys?$1$$7$$100$$700$
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