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1081
GATE2015-2-27
Consider the following second order linear differential equation $\dfrac{d^2y}{dx^2} = -12x^2 +24 x – 20$ The boundary conditions are: at $x=0, \: y=5$ and at $x=2, \: y=21$. The value of $y$ at $x=1$ is _________.
Consider the following second order linear differential equation$$\dfrac{d^2y}{dx^2} = -12x^2 +24 x – 20$$The boundary conditions are: at $x=0, \: y=5$ and at $x=2, \: ...
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1082
GATE2015-2-28
The two Eigen values of the matrix $\begin{bmatrix} 2 & 1 \\ 1 & p \end{bmatrix}$ have a ratio of $3:1$ for $p=2$. What is another value of $p$ for which the Eigen values have the same ratio of $3:1$? $-2$ $1$ $7/3$ $14/3$
The two Eigen values of the matrix $\begin{bmatrix} 2 & 1 \\ 1 & p \end{bmatrix}$ have a ratio of $3:1$ for $p=2$. What is another value of $p$ for which the Eigen values...
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1083
GATE2015-2-29
For step-size, $\Delta x =0.4$, the value of following integral using Simpson’s $1/3$ rule is _______. $\int_0^{0.8} (0.2 + 25 x – 200 x^2 + 675 x^3 – 900 x^4 +400 x^5) dx$
For step-size, $\Delta x =0.4$, the value of following integral using Simpson’s $1/3$ rule is _______.$$\int_0^{0.8} (0.2 + 25 x – 200 x^2 + 675 x^3 – 900 x^4 +400 ...
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1088
GATE2015-2-34
According to the concept of Limit State Design as per $IS \: 456:2000$, the probability of failure of a structure is ______.
According to the concept of Limit State Design as per $IS \: 456:2000$, the probability of failure of a structure is ______.
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1090
GATE2015-2-36
A fixed end beam is subjected to a load, W at $1/3$ rd span from the left support as shown in the figure. The collapse load of the beam is: $16.5 M_p/L$ $15.5 M_p/L$ $15.0 M_p/L$ $16.0 M_p/L$
A fixed end beam is subjected to a load, W at $1/3$ rd span from the left support as shown in the figure. The collapse load of the beam is:$16.5 M_p/L$$15.5 M_p/L$$15.0 M...
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1091
GATE2015-2-37
A $588 \: cm^3$ volume of moist sand weighs $1010$ gm. Its dry weight is $918$ gm and specific gravity of solids, $G$ is $2.67$. Assuming density of water as $1 \: gm/cm^3$, the void ratio is _________.
A $588 \: cm^3$ volume of moist sand weighs $1010$ gm. Its dry weight is $918$ gm and specific gravity of solids, $G$ is $2.67$. Assuming density of water as $1 \: gm/cm^...
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1103
GATE2015-2-49
Ultimate BOD of a river water sample is $20$ mg/L. BOD rate constant (natural log) is $0.15 \: day^{-1}$. The respective values of BOD (in $\%$) exerted and remaining after $7$ days are: $45$ and $55$ $55$ and $45$ $65$ and $35$ $75$ and $25$
Ultimate BOD of a river water sample is $20$ mg/L. BOD rate constant (natural log) is $0.15 \: day^{-1}$. The respective values of BOD (in $\%$) exerted and remaining aft...
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1105
GATE2015-2-51
The relation between speed $u$ (in km/h) and density $k$ (number of vehicles/km) for a traffic stream on a road is $u=70-0.7k$. The capacity on this road is _________ vph (vehicles/hour).
The relation between speed $u$ (in km/h) and density $k$ (number of vehicles/km) for a traffic stream on a road is $u=70-0.7k$. The capacity on this road is _________ vph...
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1106
GATE2015-2-52
Match the information related to tests on aggregates given in Group - I with that in Group - II. ... $P - 4; Q - 1; R - 3; S - 2;$ $P - 3; Q - 4; R - 2; S - 1;$
Match the information related to tests on aggregates given in Group – I with that in Group – II.$\begin{array}{ll} \text{Group – I} & \text{Group – II} \\ P. \tex...
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1110
GATE Civil 2015 Set 1 | GA Question: 1
Extreme focus on syllabus and studying for tests has become such a dominant concern of Indian students that they close their minds to anything_________ to the requirements of the exam. related extraneous outside useful
Extreme focus on syllabus and studying for tests has become such a dominant concern of Indian students that they close their minds to anything_________ to the requirement...
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1111
GATE Civil 2015 Set 1 | GA Question: 2
Select the pair that best expresses a relationship similar to that expressed in the pair: Children $:$ Pediatrician Adult $:$ Orthopaedist Females $:$ Gynaecologist Kidney $:$ Nephrologist Skin $:$ Dermatologist
Select the pair that best expresses a relationship similar to that expressed in the pair:Children $:$ PediatricianAdult $:$ OrthopaedistFemales $:$ GynaecologistKidney $:...
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1114
GATE Civil 2015 Set 1 | GA Question: 5
A function $f(x)$ is linear and has a value of $29$ at $x=-2$ and $39$ at $x=3.$ Find its value at $x=5.$ $59$ $45$ $43$ $35$
A function $f(x)$ is linear and has a value of $29$ at $x=-2$ and $39$ at $x=3.$ Find its value at $x=5.$$59$$45$$43$$35$
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1118
GATE Civil 2015 Set 1 | GA Question: 9
Choose the most appropriate equation for the function drawn as a thick line, in the plot below. $x=y – \mid y \mid $ $x=-(y – \mid y \mid )$ $x=y+ \mid y \mid $ $x=-(y+\mid y \mid )$
Choose the most appropriate equation for the function drawn as a thick line, in the plot below.$x=y – \mid y \mid $$x=-(y – \mid y \mid )$$x=y+ \mid y \mid $$x=-(y+...
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1120
GATE2015-1-1
For what value of $p$ the following set of equations will have no solution? $2x+3y=5$ $3x+py=10$
For what value of $p$ the following set of equations will have no solution?$2x+3y=5$$3x+py=10$
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