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GATE2018-2-4
If $y$ is the solution of the differential equation $y^3 \dfrac{dy}{dx}+x^3 = 0, \: y(0)=1,$ the value of $y(-1)$ is $-2$ $-1$ $0$ $1$
If $y$ is the solution of the differential equation $y^3 \dfrac{dy}{dx}+x^3 = 0, \: y(0)=1,$ the value of $y(-1)$ is$-2$$-1$$0$$1$
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GATE2018-2-5
The minimum axial compressive load, $P$, required to initiate buckling for a pinned-pinned slender column with bending stiffness $EI$ and length $L$ is $P=\dfrac{\pi^2 EI}{4L^2} \\$ $P=\dfrac{\pi^2 EI}{L^2} \\$ $P=\dfrac{3\pi^2 EI}{4L^2} \\$ $P=\dfrac{4\pi^2 EI}{L^2}$
The minimum axial compressive load, $P$, required to initiate buckling for a pinned-pinned slender column with bending stiffness $EI$ and length $L$ is$P=\dfrac{\pi^2 EI}...
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GATE2018-2-6
A frictionless gear train is shown in the figure. The leftmost $12$-teeth gear is given a torque of $100 \: N-m$. The output torque from the $60$-teeth gear on the right in $N-m$ is $5$ $20$ $500$ $2000$
A frictionless gear train is shown in the figure. The leftmost $12$-teeth gear is given a torque of $100 \: N-m$. The output torque from the $60$-teeth gear on the right ...
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GATE2018-2-1
The Fourier cosine series for an even function $f(x)$ is given by $ f(x)=a_0 + \Sigma_{n=1}^\infty a_n \cos (nx).$ The value of the coefficient $a_2$ for the function $f(x)=\cos ^2 (x)$ in $[0, \pi]$ is $-0.5$ $0.0$ $0.5$ $1.0$
The Fourier cosine series for an even function $f(x)$ is given by $$ f(x)=a_0 + \Sigma_{n=1}^\infty a_n \cos (nx).$$ The value of the coefficient $a_2$ for the function $...
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GATE Mechanical 2018 Set 1 | GA Question: 9
Which of the following functions describe the graph shown in the below figure? $y=\mid \mid x \mid + 1 \mid -2$ $y=\mid \mid x \mid - 1 \mid -1$ $y=\mid \mid x \mid + 1 \mid -1$ $y=\mid \mid x - 1 \mid -1\mid$
Which of the following functions describe the graph shown in the below figure?$y=\mid \mid x \mid + 1 \mid -2$$y=\mid \mid x \mid - 1 \mid -1$$y=\mid \mid x \mid + 1 \mid...
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GATE Mechanical 2018 Set 1 | GA Question: 3
Seven machines take $7$ minutes to make $7$ identical toys. At the same rate, how many minutes would it take for $100$ machine to make $100$ toys? $1$ $7$ $100$ $700$
Seven machines take $7$ minutes to make $7$ identical toys. At the same rate, how many minutes would it take for $100$ machine to make $100$ toys?$1$$7$$100$$700$
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GATE Mechanical 2018 Set 1 | GA Question: 5
A number consists of two digits. The sum of the digits is $9$. If $45$ is subtracted from the number, its digits are interchanged. What is the number? $63$ $72$ $81$ $90$
A number consists of two digits. The sum of the digits is $9$. If $45$ is subtracted from the number, its digits are interchanged. What is the number?$63$$72$$81$$90$
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GATE Mechanical 2018 Set 1 | GA Question: 7
Given that $a$ and $b$ are integers and $a+a^2 b^3$ is odd, which of the following statements is correct? $a$ and $b$ are both odd $a$ and $b$ are both even $a$ is even and $b$ is odd $a$ is odd and $b$ is even
Given that $a$ and $b$ are integers and $a+a^2 b^3$ is odd, which of the following statements is correct?$a$ and $b$ are both odd$a$ and $b$ are both even$a$ is even and ...
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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 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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GATE2018-1-52
Processing times (including setup times) and due dates for six jobs waiting to be processed at a work centre are given in the table. The average tardiness (in days) using shortest processing time rule is __________ (correct to two decimal places). ...
Processing times (including setup times) and due dates for six jobs waiting to be processed at a work centre are given in the table. The average tardiness (in days) using...
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GATE2018-1-47
A plane slab of thickness $L$ and thermal conductivity $k$ is heated heated with a fluid on one side $(P)$, and the other side $(Q)$ is maintained at a constant temperature, $T_Q$ of $25^{\circ}C$ ... The steady state temperature, $T_P$ (in $^{\circ}$C) of the side which is exposed to the fluid is _____ (correct to two decimal places)
A plane slab of thickness $L$ and thermal conductivity $k$ is heated heated with a fluid on one side $(P)$, and the other side $(Q)$ is maintained at a constant temperatu...
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GATE2018-1-50
A bar is compressed to half to its original length. The magnitude of true strain produced in the deformed bar is __________ (correct to two decimal places)
A bar is compressed to half to its original length. The magnitude of true strain produced in the deformed bar is __________ (correct to two decimal places)
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GATE2018-1-51
The minimum value of $3x+5y$ such that $3x+5y \leq 15$ $4x+9y \leq 18$ $13x+2y \leq 2$ $x \geq 0, \: y \geq 0$ is ______
The minimum value of $3x+5y$ such that$3x+5y \leq 15$$4x+9y \leq 18$$13x+2y \leq 2$$x \geq 0, \: y \geq 0$ is ______
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GATE2018-1-39
A simply supported beam of width $100$ mm, height $200$ mm and length 4 m is carrying a uniformly distributed load of intensity $10 \: kN/m$. The maximum bending stress (in MPa) in the beam is _________ (correct to one decimal place)
A simply supported beam of width $100$ mm, height $200$ mm and length 4 m is carrying a uniformly distributed load of intensity $10 \: kN/m$. The maximum bending stress (...
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GATE2018-1-36
The percentage scrap in a sheet metal blanking operation of a continuous strip of sheet metal as shown in the figure is _______ (correct to two decimal places)
The percentage scrap in a sheet metal blanking operation of a continuous strip of sheet metal as shown in the figure is _______ (correct to two decimal places)
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GATE2018-1-38
$F(s)$ is the Laplace transform of the function $f(t) =2t^2 e^{-t}$. $F(1)$ is _______ (correct to two decimal places).
$F(s)$ is the Laplace transform of the function $f(t) =2t^2 e^{-t}$. $F(1)$ is _______ (correct to two decimal places).
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