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GATE2016-1-29
Gauss-Seidel method is used to solve the following equations (as per the given order): $x_1+2x_2+3x_3=5$ $2x_1+3x_2+x_3=1$ $3x_1+2x_2+x_3=3$ Assuming initial guess as $x_1=x_2=x_3=0$ , the value of $x_3$ after the first iteration is __________
Gauss-Seidel method is used to solve the following equations (as per the given order):$x_1+2x_2+3x_3=5$$2x_1+3x_2+x_3=1$$3x_1+2x_2+x_3=3$Assuming initial guess as $x_1=x_...
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GATE2016-1-27
If $y=f(x)$ satisfies the boundary value problem ${y}''+9y=0$ , $y(0)=0$ , $y(\pi /2)=\sqrt{2}$, then $y(\pi /4)$ is ________
If $y=f(x)$ satisfies the boundary value problem ${y}''+9y=0$ , $y(0)=0$ , $y(\pi /2)=\sqrt{2}$, then $y(\pi /4)$ is ________
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GATE2016-1-26
Consider the function $f(x)=2x^3-3x^2$ in the domain $[-1,2]$ The global minimum of $f(x)$ is ____________
Consider the function $f(x)=2x^3-3x^2$ in the domain $[-1,2]$ The global minimum of $f(x)$ is ____________
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GATE2016-1-25
Match the following: ... $P-III, Q-II, R-I, S-IV$ $P-IV, Q-II, R-I, S-III$ $P-IV, Q-I, R-II, S-III$
Match the following:$\begin{array}{|l|l|l|l|} \hline P. & \text{Feeler guage} & I. & \text{Radius of an object} \\ \hline Q. & \text{Fillet guage} & II. & \text{Diameter ...
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GATE2016-1-20
The “Jominy test” is used to find Young’s modulus hardenability yield strength thermal conductivity
The “Jominy test” is used to findYoung’s modulushardenabilityyield strengththermal conductivity
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GATE2016-1-17
Propane ($C_3H_8$) is burned in an oxygen atmosphere with $10$% deficit oxygen with respect to the stoichiometric requirement. Assuming no hydrocarbons in the products, the volume percentage of $CO$ in the products is __________.
Propane ($C_3H_8$) is burned in an oxygen atmosphere with $10$% deficit oxygen with respect to the stoichiometric requirement. Assuming no hydrocarbons in the products, t...
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GATE2016-1-16
Which of the following statements are TRUE with respect to heat and work? They are boundary phenomena They are exact differentials They are path functions both $(i)$ and $(ii)$ both $(i)$ and $(iii)$ both $(ii)$ and $(iii)$ only $(iii)$
Which of the following statements are TRUE with respect to heat and work?They are boundary phenomenaThey are exact differentialsThey are path functionsboth $(i)$ and $(ii...
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GATE2016-1-14
For a floating body, buoyant force acts at the centroid of the floating body center of gravity of the body centroid of the fluid vertically below the body centroid of the displaced fluid
For a floating body, buoyant force acts at thecentroid of the floating bodycenter of gravity of the bodycentroid of the fluid vertically below the bodycentroid of the dis...
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GATE2016-1-12
The spring constant of a helical compression spring DOES NOT depend on coil diameter material strength number of active turns wire diameter
The spring constant of a helical compression spring DOES NOT depend oncoil diametermaterial strengthnumber of active turnswire diameter
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GATE2016-1-9
A cantilever beam having square cross-section of side $a$ is subjected to an end load. If $a$ is increased by $19\%$, the tip deflection decreases approximately by $19\%$ $29\%$ $41\%$ $50\%$
A cantilever beam having square cross-section of side $a$ is subjected to an end load. If $a$ is increased by $19\%$, the tip deflection decreases approximately by$19\%$$...
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GATE2016-1-5
Solve the equation $x=10\cos(x)$ using the Newton-Raphson method. The initial guess is $x=\pi /4$. The value of the predicted root after the first iteration, up to second decimal, is ________
Solve the equation $x=10\cos(x)$ using the Newton-Raphson method. The initial guess is $x=\pi /4$. The value of the predicted root after the first iteration, up to second...
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GATE2016-1-4
Consider a Poisson distribution for the tossing of a biased coin. The mean for this distribution is $μ$. The standard deviation for this distribution is given by $\sqrt{\mu }$ $\mu ^2$ $\mu$ $1/\mu$
Consider a Poisson distribution for the tossing of a biased coin. The mean for this distribution is $μ$. The standard deviation for this distribution is given by$\sqrt{\...
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GATE2016-1-3
$f(z)=u(x,y)+iv(x,y)$ is an analytic function of complex variable $z=x+iy$ where $i=\sqrt{-1}$. If $u(x,y)$=$2xy$ , then $v(x,y)$ may be expressed as $-x^2 + y^2 + $ constant $x^2 – y^2 +$ constant $x^2 + y^2 +$ constant $-(x^2 + y^2) +$ constant
$f(z)=u(x,y)+iv(x,y)$ is an analytic function of complex variable $z=x+iy$ where $i=\sqrt{-1}$. If $u(x,y)$=$2xy$ , then $v(x,y)$ may be expressed as$-x^2 + y^2 + $ const...
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GATE2016-1-2
If $f(t)$ is a function defined for all $t \geq 0$, its Laplace transform $F(s)$ is defined as $\int_{0}^{\infty }e^{st}f(t)dt \\$ $\int_{0}^{\infty }e^{-st}f(t)dt \\$ $\int_{0}^{\infty }e^{ist}f(t)dt \\$ $\int_{0}^{\infty }e^{-ist}f(t)dt$
If $f(t)$ is a function defined for all $t \geq 0$, its Laplace transform $F(s)$ is defined as$\int_{0}^{\infty }e^{st}f(t)dt \\$$\int_{0}^{\infty }e^{-st}f(t)dt \\$$\int...
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GATE2016-1-1
The solution to the system of equations $\begin{bmatrix} 2 & 5\\-4 &3 \end{bmatrix}\begin{bmatrix} x\\y \end{bmatrix}=\begin{bmatrix} 2\\ -30 \end{bmatrix}$ is $6,2$ $-6,2$ $-6,-2$ $6,-2$
The solution to the system of equations$\begin{bmatrix} 2 & 5\\-4 &3 \end{bmatrix}\begin{bmatrix} x\\y \end{bmatrix}=\begin{bmatrix} 2\\ -30 \end{bmatrix}$ is$6,2$$-6,2$$...
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GATE Mechanical 2015 Set 3 | GA Question: 8
In the given figure $Q$ is a right triangle, $PS:QS = 3:1$ $RT:QT = 5:2$ $PU:UR = 1:1$ If area of triangle $QTS$ is $20$ $cm^2$, then the area of triangle $PQR$ in $cm^2$ is_____
In the given figure $Q$ is a right triangle, $$PS:QS = 3:1$$ $$RT:QT = 5:2$$ $$PU:UR = 1:1$$ If area of triangle $QTS$ is $20$ $cm^2$, then the area of triangle $PQR$ in ...
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GATE Mechanical 2015 Set 3 | GA Question: 6
Select the option in place of underlined parts of sentence. Increased productivity necessary reflects greater efforts made by the employees. Increase in productivity necessary Increase productivity is necessary Increase in productivity necessarily No improvement required
Select the option in place of underlined parts of sentence.Increased productivity necessary reflects greater efforts made by the employees.Increase in productivity necess...
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GATE Mechanical 2015 Set 3 | GA Question: 5
Five teams have to compete in a league, with every team playing every other team exactly once, before going to the next round. How many matches will have to held to complete the league round of matches? $20$ $10$ $8$ $5$
Five teams have to compete in a league, with every team playing every other team exactly once, before going to the next round. How many matches will have to held to compl...
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GATE Mechanical 2015 Set 3 | GA Question: 4
Tanya is older than Eric. Cliff is older than Tanya. Eric is older than Cliff. If the first two statements are true ,then the third statement is : True False Uncertain Data insufficient
Tanya is older than Eric.Cliff is older than Tanya.Eric is older than Cliff. If the first two statements are true ,then the third statement is :TrueFalseUncertainDa...
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GATE Mechanical 2015 Set 3 | GA Question: 2
Fill the blank with the correct idiom/phrase. That boy from the town was ______________________ in the sleepy village. dog out of heard sheep from the heap fish out of water bird from the flock
Fill the blank with the correct idiom/phrase.That boy from the town was ______________________ in the sleepy village.dog out of heardsheep from the heapfish out of waterb...
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