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9
GATE ECE 2020 | GA Question: 5
A superadditive function $f(\cdot)$ satisfies the following property $f\left ( x_{1} +x_{2}\right )\geq f\left ( x_{1} \right ) + f\left ( x_{2} \right )$ Which of the following functions is a superadditive function for $x > 1$? $e^{x}$ $\sqrt{x}$ $1/x$ $e^{-x}$
A superadditive function $f(\cdot)$ satisfies the following property $$f\left ( x_{1} +x_{2}\right )\geq f\left ( x_{1} \right ) + f\left ( x_{2} \right )$$Which of the f...
1 votes
2 answers
13
GATE ECE 2022 | GA Question: 9
In a class of five students $\text{P, Q, R, S}$ and $\text{T},$ ... given above, the person who has copied in the exam is $\text{R}$ $\text{P}$ $\text{Q}$ $\text{T}$
In a class of five students $\text{P, Q, R, S}$ and $\text{T},$ only one student is known to have copied in the exam. The disciplinary committee has investigated the situ...
1 votes
2 answers
15
GATE ECE 2020 | GA Question: 2
He was not only accused of theft _____ of conspiracy. rather but also but even rather than
He was not only accused of theft _____ of conspiracy.ratherbut alsobut evenrather than
0 votes
1 answer
18
GATE ECE 2023 | Question: 3
Let $w^4=16 j$. Which of the following cannot be a value of $w$ ? $2 e^{\frac{j 2 \pi}{8}}$ $2 e^{\frac{j \pi}{8}}$ $2 e^{\frac{j5 \pi}{8}}$ $2 e^{\frac{j9 \pi}{8}}$
Let $w^4=16 j$. Which of the following cannot be a value of $w$ ?$2 e^{\frac{j 2 \pi}{8}}$$2 e^{\frac{j \pi}{8}}$$2 e^{\frac{j5 \pi}{8}}$$2 e^{\frac{j9 \pi}{8}}$
1 votes
1 answer
20
GATE ECE 2020 | GA Question: 1
The untimely loss of life is a cause of serious global concern as thousands of people get killed ____ accidents every year while many other die ____ diseases like cardio vascular disease, cancer, etc. in, of from, of during, from from, from
The untimely loss of life is a cause of serious global concern as thousands of people get killed ____ accidents every year while many other die ____ diseases like cardio ...
1 votes
1 answer
23
GATE ECE 2022 | GA Question: 1
Mr. $\text{X}$ speaks __________ Japanese ____________ Chinese. neither /or either / nor neither / nor also / but
Mr. $\text{X}$ speaks __________ Japanese ____________ Chinese.neither /oreither / norneither / noralso / but
0 votes
1 answer
24
GATE ECE 2013 | Question: 19
The minimum eigenvalue of the following matrix is $\begin{bmatrix} 3& 5& 2\\5 &12 &7 \\2 &7 & 5\end{bmatrix}$ $0$ $1$ $2$ $3$
The minimum eigenvalue of the following matrix is$$\begin{bmatrix} 3& 5& 2\\5 &12 &7 \\2 &7 & 5\end{bmatrix}$$$0$$1$$2$$3$
0 votes
1 answer
25
GATE ECE 2024 | Question: 46
​​​​​The radian frequency value(s) for which the discrete time sinusoidal signal $x[n]=A \cos (\Omega n+\pi / 3)$ has a period of $40$ is/are $\_\_\_\_\_\_$. $0.15 \pi$ $0.225 \pi$ $0.3 \pi$ $0.45 \pi$
​​​​​The radian frequency value(s) for which the discrete time sinusoidal signal $x[n]=A \cos (\Omega n+\pi / 3)$ has a period of $40$ is/are $\_\_\_\_\_\_$.$0....
1 votes
2 answers
26
GATE ECE 2022 | GA Question: 8
Four points $\text{P(0, 1), Q(0, – 3), R( – 2, – 1),}$ and $\text{S(2, – 1)}$ represent the vertices of a quadrilateral. What is the area enclosed by the quadrilateral? $4$ $4 \sqrt{2}$ $8$ $8 \sqrt{2}$
Four points $\text{P(0, 1), Q(0, – 3), R( – 2, – 1),}$ and $\text{S(2, – 1)}$ represent the vertices of a quadrilateral.What is the area enclosed by the quadrilat...
1 votes
1 answer
30
GATE ECE 2020 | GA Question: 3
Select the word that fits the analogy: Explicit: Implicit :: Express: _______ Impress Repress Compress Suppress
Select the word that fits the analogy:Explicit: Implicit :: Express: _______ImpressRepressCompressSuppress
1 votes
1 answer
31
GATE ECE 2007 | Question: 44
The following binary values were applied to the $\mathrm{X}$ and $\mathrm{Y}$ inputs of the NAND latch shown in the figure in the sequence indicated below: \[ \mathrm{X}=0, \mathrm{Y}=1 ; \quad \mathrm{X}=0, \mathrm{Y}=0 ; \quad \mathrm{X}=1, \mathrm{Y}=1 \ ...
The following binary values were applied to the $\mathrm{X}$ and $\mathrm{Y}$ inputs of the NAND latch shown in the figure in the sequence indicated below:\[ \mathrm{X}=0...
1 votes
1 answer
33
GATE ECE 2014 Set 1 | Question: 2
In a housing society, half of the families have a single child per family, while the remaining half have two children per family. The probability that a child picked at random, has a sibling is ________.
In a housing society, half of the families have a single child per family, while the remaining half have two children per family. The probability that a child picked at r...
3 votes
1 answer
34
GATE ECE 2021 | Question: 11
​​​​​​​If $(1235)_{x}\:=\:(3033)_{y}$, where $x$ and $y$ indicate the bases of the corresponding numbers, then $x\:=\:7$ and $y\:=\:5$ $x\:=\:8$ and $y\:=\:6$ $x\:=\:6$ and $y\:=\:4$ $x\:=\:9$ and $y\:=\:7$
​​​​​​​If $(1235)_{x}\:=\:(3033)_{y}$, where $x$ and $y$ indicate the bases of the corresponding numbers, then$x\:=\:7$ and $y\:=\:5$$x\:=\:8$ and $y\:=\:6$...
0 votes
1 answer
36
GATE ECE 2021 | Question: 1
The vector function $F\left ( r \right )=-x\hat{i}+y\hat{j}$ is defined over a circular arc $C$ shown in the figure. The line integral of $\int _{C} F\left ( r \right ).dr$ is $\frac{1}{2}$ $\frac{1}{4}$ $\frac{1}{6}$ $\frac{1}{3}$
The vector function $F\left ( r \right )=-x\hat{i}+y\hat{j}$ is defined over a circular arc $C$ shown in the figure.The line integral of $\int _{C} F\left ( r \right ).dr...
2 votes
1 answer
37
GATE ECE 2020 | GA Question: 9
$a, b, c$ are real numbers. The quadratic equation $ax^{2}-bx+c=0$ has equal roots, which is $\beta$, then $\beta =b/a$ $\beta^{2} =ac$ $\beta^{3} =bc/\left ( 2a^{2} \right )$ $\beta^{2} \neq 4ac$
$a, b, c$ are real numbers. The quadratic equation $ax^{2}-bx+c=0$ has equal roots, which is $\beta$, then$\beta =b/a$$\beta^{2} =ac$$\beta^{3} =bc/\left ( 2a^{2} \right ...
1 votes
1 answer
39
GATE ECE 2020 | GA Question: 7
It is quarter past three in your watch. The angle between the hour hand and the minute hand is ________. $0^{\circ}$ $7.5^{\circ}$ $15^{\circ}$ $22.5^{\circ}$
It is quarter past three in your watch. The angle between the hour hand and the minute hand is ________.$0^{\circ}$$7.5^{\circ}$$15^{\circ}$$22.5^{\circ}$
1 votes
2 answers
40
GATE ECE 2024 | GA Question: 5
The greatest prime factor of $\left(3^{199}-3^{196}\right)$ is $13$ $17$ $3$ $11$
The greatest prime factor of $\left(3^{199}-3^{196}\right)$ is$13$$17$$3$$11$
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