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Recent questions tagged gate2015-ce-2

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GATE Civil 2015 Set 2 | GA Question: 3
which word is not a synonym for the word $\textit{vernacular}$? regional indigenous indigent colloquial
which word is not a synonym for the word $\textit{vernacular}$?regionalindigenous indigentcolloquial
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GATE Civil 2015 Set 2 | GA Question: 6
The word similar in meaning to ‘dreary’ is cheerful dreamy hard dismal
The word similar in meaning to ‘dreary’ ischeerfuldreamyharddismal
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GATE Civil 2015 Set 2 | GA Question: 8
How many four digit numbers can be formed with the $10$ digits $0,1,2,…,9$ if no number can start with $0$ and if repetitions are not allowed?
How many four digit numbers can be formed with the $10$ digits $0,1,2,…,9$ if no number can start with $0$ and if repetitions are not allowed?
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GATE2015-2-1
While minimizing the function $f(x)$, necessary and sufficient conditions for a point, $x_0$ to be a minima are: $f’(x_0) > 0$ and $f’’(x_0)=0$ $f’(x_0) < 0$ and $f’’(x_0)=0$ $f’(x_0) = 0$ and $f’’(x_0)<0$ $f’(x_0) = 0$ and $f’’(x_0)>0$
While minimizing the function $f(x)$, necessary and sufficient conditions for a point, $x_0$ to be a minima are:$f’(x_0) 0$ and $f’’(x_0)=0$$f’(x_0) < 0$ and $f�...
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GATE2015-2-3
Given, $i=\sqrt{-1}$, the value of the definite integral, $I= \int_0^{\pi/2} \dfrac{\cos x+ i \sin x}{\cos x – i \sin x} dx$ is: $1$ $-1$ $i$ $-i$
Given, $i=\sqrt{-1}$, the value of the definite integral, $I= \int_0^{\pi/2} \dfrac{\cos x+ i \sin x}{\cos x – i \sin x} dx$ is:$1$$-1$$i$$-i$
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GATE2015-2-4
$\underset{x \to \infty}{\lim} \bigg( 1+ \dfrac{1}{x} \bigg)^{2x} $ is equal to $e^{-2}$ $e$ $1$ $e^2$
$\underset{x \to \infty}{\lim} \bigg( 1+ \dfrac{1}{x} \bigg)^{2x} $ is equal to$e^{-2}$$e$$1$$e^2$
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GATE2015-2-5
Let $A=[a_{ij}], \: 1 \leq i, j \leq n$ with $n \geq 3$ and $a_{ij}=i \cdot j$. The rank of $A$ is: $0$ $1$ $n-1$ $n$
Let $A=[a_{ij}], \: 1 \leq i, j \leq n$ with $n \geq 3$ and $a_{ij}=i \cdot j$. The rank of $A$ is:$0$$1$$n-1$$n$
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GATE2015-2-6
A horizontal beam $ABC$ is loaded as shown in the figure below. The distance of the point of contraflexure from end $A$ (in m) is _________
A horizontal beam $ABC$ is loaded as shown in the figure below. The distance of the point of contraflexure from end $A$ (in m) is _________
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GATE2015-2-10
Prying forces are shearing forces on the bolts because of the joints tensile forces due to the flexibility of connected parts bending forces on the bolts because of the joints forces due the friction between connected parts
Prying forces areshearing forces on the bolts because of the jointstensile forces due to the flexibility of connected partsbending forces on the bolts because of the join...
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GATE2015-2-13
In friction circle method of slope stability analysis, if $r$ defines the radius of the slip circle, the radius of friction circle is: $r \sin \phi$ $r$ $r \cos \phi$ $r \tan \phi$
In friction circle method of slope stability analysis, if $r$ defines the radius of the slip circle, the radius of friction circle is:$r \sin \phi$$r$$r \cos \phi$$r \tan...
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GATE2015-2-14
Net ultimate bearing capacity of a footing embedded in a clay stratum increases with depth of footing only increases with size of footing only increases with depth and size of footing is independent of depth and size of footing
Net ultimate bearing capacity of a footing embedded in a clay stratumincreases with depth of footing onlyincreases with size of footing onlyincreases with depth and size ...
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GATE2015-2-15
Surcharge loading required to be placed on the horizontal backfill of a smooth retaining vertical wall so as to completely eliminate tensile crack is: $2 \: c$ $2 \: c \: k_a$ $2 c \sqrt{k_a}$ $2 c/ \sqrt{k_a}$
Surcharge loading required to be placed on the horizontal backfill of a smooth retaining vertical wall so as to completely eliminate tensile crack is:$2 \: c$$2 \: c \: k...
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GATE2015-2-19
The relationship between porosity $(\eta)$, specific yield $(S_y)$ and specific retention $(S_\tau)$ of an unconfined aquifer is: $S_y+S_\tau = \eta$ $S_y+ \eta = S_\tau$ $S_\tau+ \eta = S_y$ $S_y+ S_\tau + \eta =1$
The relationship between porosity $(\eta)$, specific yield $(S_y)$ and specific retention $(S_\tau)$ of an unconfined aquifer is:$S_y+S_\tau = \eta$$S_y+ \eta = S_\tau$$S...
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GATE2015-2-20
A groundwater sample was found to contain $500$ mg/L total dissolved solids (TDS). TDS (in $\%$) present in the sample is ________.
A groundwater sample was found to contain $500$ mg/L total dissolved solids (TDS). TDS (in $\%$) present in the sample is ________.
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GATE2015-2-25
The combined correction due to curvature and refraction (in m) for a distance of $1$ km on the surface of Earth is: $0.0673$ $0.673$ $7.63$ $0.763$
The combined correction due to curvature and refraction (in m) for a distance of $1$ km on the surface of Earth is:$0.0673$$0.673$$7.63$$0.763$
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GATE2015-2-27
Consider the following second order linear differential equation $\dfrac{d^2y}{dx^2} = -12x^2 +24 x – 20$ The boundary conditions are: at $x=0, \: y=5$ and at $x=2, \: y=21$. The value of $y$ at $x=1$ is _________.
Consider the following second order linear differential equation$$\dfrac{d^2y}{dx^2} = -12x^2 +24 x – 20$$The boundary conditions are: at $x=0, \: y=5$ and at $x=2, \: ...
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GATE2015-2-28
The two Eigen values of the matrix $\begin{bmatrix} 2 & 1 \\ 1 & p \end{bmatrix}$ have a ratio of $3:1$ for $p=2$. What is another value of $p$ for which the Eigen values have the same ratio of $3:1$? $-2$ $1$ $7/3$ $14/3$
The two Eigen values of the matrix $\begin{bmatrix} 2 & 1 \\ 1 & p \end{bmatrix}$ have a ratio of $3:1$ for $p=2$. What is another value of $p$ for which the Eigen values...
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GATE2015-2-29
For step-size, $\Delta x =0.4$, the value of following integral using Simpson’s $1/3$ rule is _______. $\int_0^{0.8} (0.2 + 25 x – 200 x^2 + 675 x^3 – 900 x^4 +400 x^5) dx$
For step-size, $\Delta x =0.4$, the value of following integral using Simpson’s $1/3$ rule is _______.$$\int_0^{0.8} (0.2 + 25 x – 200 x^2 + 675 x^3 – 900 x^4 +400 ...
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