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GATE EC 2021  GA Question: 6
Given below are two statements and two conclusions. $\text{Statement 1}$: All purple are green. $\text{Statement 2}$: All black are green. $\text{Conclusion I}$: Some black are purple. $\text{Conclusion II}$: No black is purple. Based on the above ... correct Either conclusion $\text{I}$ or $\text{II}$ is correct Both conclusion $\text{I}$ and $\text{II}$ are correct
answer edited
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Analytical Aptitude
by
Arjun
(
4.4k
points)

322
views
gateec2021
analyticalaptitude
logicalreasoning
statementsfollow
+2
votes
1
answer
2
GATE EC 2021  GA Question: 1
The current population of a city is $11,02,500$ . If it has been increasing at the rate of $5\%$ per annum, what was its population $2$ years ago? $9,92,500$ $9,95,006$ $10,00,000$ $12,51,506$
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2 days
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Numerical Ability
by
Lakshman Patel RJIT
(
3.8k
points)

47
views
gateec2021
numericalability
simplecompoundinterest
+1
vote
2
answers
3
GATE EC 2021  GA Question: 2
$p$ and $q$ are positive integers and $\dfrac{p}{q}+\dfrac{q}{p}=3,$ then, $\dfrac{p^{2}}{q^{2}}+\dfrac{q^{2}}{p^{2}}=$ $3$ $7$ $9$ $11$
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2 days
ago
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Numerical Ability
by
Lakshman Patel RJIT
(
3.8k
points)

43
views
gateec2021
numericalability
algebra
+1
vote
1
answer
4
GATE EC 2021  GA Question: 3
The least number of squares that must be added so that the line $PQ$ becomes the line of symmetry is ____________ $4$ $3$ $6$ $7$
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2 days
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Spatial Aptitude
by
Lakshman Patel RJIT
(
3.8k
points)

67
views
gateec2021
spatialaptitude
patternsintwodimensions
+1
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1
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5
GATE EC 2021  GA Question: 4
$\textit{Nostalgia}$ is to $\textit{anticipation}$ as ____________ is to _____________ Which one of the following options maintains a similar logical relation in the above sentence? Present, past Future, past Past, future Future, present
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2 days
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Verbal Ability
by
Lakshman Patel RJIT
(
3.8k
points)

32
views
gateec2021
verbalability
wordpairs
+1
vote
1
answer
6
GATE EC 2021  GA Question: 5
Consider the following sentences: I woke up from sleep. I woked up from sleep. I was woken up from sleep. I was wokened up from sleep. Which of the above sentences are grammatically $\text{CORRECT}$? $\text{(i) and (ii)}$ $\text{(i) and (iii)}$ $\text{(ii) and (iii)}$ $\text{(i) and (iv)}$
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2 days
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Verbal Ability
by
Lakshman Patel RJIT
(
3.8k
points)

38
views
gateec2021
verbalability
englishgrammar
tense
+1
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1
answer
7
GATE EC 2021  GA Question: 7
Computers are ubiquitous. They are used to improve efficiency in almost all fields from agriculture to space exploration. Artificial intelligence $\text{(AI)}$ is currently a hot topic. $\text{Al}$ enables computers to learn, given enough training data. For humans, sitting in front of a ... $\text{(ii) and (iv)}$ $\text{(i), (iii) and (iv)}$ $\text{(i) and (iii)}$
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Verbal Ability
by
Lakshman Patel RJIT
(
3.8k
points)

36
views
gateec2021
verbalability
verbalreasoning
passagereading
0
votes
0
answers
8
GATE EC 2021  Question: 13
The block diagram of a feedback control system is shown in the figure The transfer function $\dfrac{Y{\left ( s \right )}}{X {\left ( s \right )}}$ of the system is $\frac{G_{1}+G_{2}+G_{1}G_{2}H}{1+G_{1}H}$ $\frac{G_{1}+G_{2}}{1+G_{1}H+G_{2}H}$ $\frac{G_{1}+G_{2}}{1+G_{1}H}$ $\frac{G_{1}+G_{2}+G_{1}G_{2}H}{1+G_{1}H+G_{2}H}$
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2 days
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Control Systems
by
Lakshman Patel RJIT
(
3.8k
points)

15
views
gateec2021
controlsystems
0
votes
0
answers
9
GATE EC 2021  Question: 17
Consider the vector field $F\:=\:a_{x}\left ( 4yc_{1}z \right )+a_y\left ( 4x + 2z\right )+a_{z}\left ( 2y +z\right )$ in a rectangular coordinate system $(x,y,z)$ with unit vectors $a_{x},\:a_{y}$ and $a_{z}$. If the field $F$ is irrotational (conservative), then the constant $c_{1}$ (in integer) is _________________
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2 days
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Vector Analysis
by
Lakshman Patel RJIT
(
3.8k
points)

12
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gateec2021
numericalanswers
vectoranalysis
vectorinplanes
0
votes
0
answers
10
GATE EC 2021  Question: 37
For a vector field $D=\rho\cos^{2}\:\varphi \:a_{\rho }+z^{2}\sin^{2}\:\varphi \:a_{\varphi }$ in a cylindrical coordinate system $\left ( \rho ,\varphi ,z \right )$ with unit vectors $a_{\rho },a_{\varphi }$ and $a_{z}$, the ... $\left ( \rho =3, 0\leq z\leq 2 \right )$ (rounded off to two decimal places) is ________________
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Vector Analysis
by
Lakshman Patel RJIT
(
3.8k
points)

13
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gateec2021
numericalanswers
vectoranalysis
0
votes
0
answers
11
GATE EC 2021  Question: 36
A real $2\times2$ nonsingular matrix $A$ with repeated eigenvalue is given as $A=\begin{bmatrix} x & 3.0\\ 3.0 & 4.0 \end{bmatrix}$ where $x$ is a real positive number. The value of $x$ (rounded off to one decimal place) is ________________
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2 days
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Linear Algebra
by
Lakshman Patel RJIT
(
3.8k
points)

12
views
gateec2021
numericalanswers
linearalgebra
eigenvalues
0
votes
0
answers
12
GATE EC 2021  Question: 31
The propagation delays of the $\text{XOR}$ gate, $\text{AND}$ gate and multiplexer $\text{(MUX)}$ in the circuit shown in the figure are $4\:ns$, $2\:ns$ and $1\:ns$, respectively. If all the inputs $\text{P, Q, R, S and T}$ are applied simultaneously and held constant, the maximum propagation delay of the circuit is $3\:ns$ $5\:ns$ $6\:ns$ $7\:ns$
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Digital Circuits
by
Lakshman Patel RJIT
(
3.8k
points)

15
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gateec2021
digitalcircuits
combinationalcircuits
multiplexers
0
votes
0
answers
13
GATE EC 2021  Question: 27
A box contains the following three coins. A fair coin with head on one face and tail on the other face. A coin with heads on both the faces. A coin with tails on both the faces. A coin is picked randomly from the box and tossed. Out of the two remaining coins in the box, one ... getting a head in the second toss is $\frac{2}{5}$ $\frac{1}{3}$ $\frac{1}{2}$ $\frac{2}{3}$
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Probability and Statistics
by
Lakshman Patel RJIT
(
3.8k
points)

19
views
gateec2021
probabilityandstatistics
probability
conditionalprobability
0
votes
0
answers
14
GATE EC 2021  Question: 26
Consider the integral $\oint _{c}\frac{sin\left ( x \right )}{x^{2}\left ( x^{2}+4 \right )}dx$ where $C$ is a counterclockwise oriented circle defined as $\left  xi \right =2$. The value of the integral is $\frac{\pi }{8}\sin\left ( 2i \right )$ $\frac{\pi }{8}\sin\left ( 2i \right )$ $\frac{\pi }{4}\sin\left ( 2i \right )$ $\frac{\pi }{4}\sin\left ( 2i \right )$
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2 days
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Complex Analysis
by
Lakshman Patel RJIT
(
3.8k
points)

68
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gateec2021
complexanalysis
0
votes
0
answers
15
GATE EC 2021  Question: 2
Consider the differential equation given below. $\frac{dy}{dx}+\frac{x}{1x^{2}}y=x\sqrt{y}$ The integrating factor of the differential equation is $\left ( 1x^{2} \right )^{3/4}$ $\left ( 1x^{2} \right )^{1/4}$ $\left ( 1x^{2} \right )^{3/2}$ $\left ( 1x^{2} \right )^{1/2}$
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2 days
ago
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Differential Equations
by
Lakshman Patel RJIT
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3.8k
points)

17
views
gateec2021
differentialequations
firstorderdifferentialequation
0
votes
0
answers
16
GATE EC 2021  Question: 16
If the vectors $(1.0,\:1.0,\:2.0)$, $(7.0,\:3.0,\:x)$ and $(2.0,\:3.0,\:1.0)$ in $\mathbb{R}^{3}$ are linearly dependent, the value of $x$ is __________
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2 days
ago
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Vector Analysis
by
Lakshman Patel RJIT
(
3.8k
points)

13
views
gateec2021
numericalanswers
vectoranalysis
vectorinplanes
0
votes
0
answers
17
GATE EC 2021  Question: 12
Addressing of a $32K\:\times\:16$ memory is realized using a single decoder. The minimum number of $\text{AND}$ gates required for the decoder is $2^{8}$ $2^{32}$ $2^{15}$ $2^{19}$
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2 days
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in
Digital Circuits
by
Lakshman Patel RJIT
(
3.8k
points)

13
views
gateec2021
digitalcircuits
combinationalcircuits
decoders
0
votes
0
answers
18
GATE EC 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 $y\:=\:7$
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2 days
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in
Digital Circuits
by
Lakshman Patel RJIT
(
3.8k
points)

34
views
gateec2021
digitalcircuits
numbersystem
numberrepresentation
0
votes
0
answers
19
GATE EC 2021  Question: 3
Two continuous random variables $X$ and $Y$ are related as $Y=2X+3$ Let $\sigma ^{2}_{X}$ and $\sigma ^{2}_{Y}$denote the variances of $X$ and $Y$, respectively. The variances are related as $\sigma ^{2}_{Y}=2 \sigma ^{2}_{X}$ $\sigma ^{2}_{Y}=4 \sigma ^{2}_{X}$ $\sigma ^{2}_{Y}=5 \sigma ^{2}_{X}$ $\sigma ^{2}_{Y}=25 \sigma ^{2}_{X}$
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2 days
ago
in
Probability and Statistics
by
Lakshman Patel RJIT
(
3.8k
points)

14
views
gateec2021
probabilityandstatistics
randomvariable
variance
+1
vote
1
answer
20
GATE EC 2021  GA Question: 10
Corners are cut from an equilateral triangle to produce a regular convex hexagon as shown in the figure above. The ratio of the area of the regular convex hexagon to the area of the original equilateral triangle is $2:3$ $3:4$ $4:5$ $5:6$
recategorized
2 days
ago
in
Numerical Ability
by
Lakshman Patel RJIT
(
3.8k
points)

56
views
gateec2021
numericalability
geometry
triangles
area
0
votes
0
answers
21
GATE EC 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 $\frac{1}{2}$ $\frac{1}{4}$ $\frac{1}{6}$ $\frac{1}{3}$
recategorized
2 days
ago
in
Vector Analysis
by
Lakshman Patel RJIT
(
3.8k
points)

18
views
gateec2021
vectoranalysis
vectorinplanes
0
votes
0
answers
22
GATE EC 2021  Question: 46
The propagation delay of the exclusive$\text{OR}$ ($\text{XOR}$) gate in the circuit in the figure is $3\:ns$. The propagation delay of all the flipflops is assumed to be zero. The clock ($\text{Clk}$ ... of triggering clock edges after which the flipflop outputs $Q_{2}Q_{1}Q_{0}$ becomes $1\; 0\; 0$ (in integer) is
recategorized
2 days
ago
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Digital Circuits
by
Lakshman Patel RJIT
(
3.8k
points)

13
views
gateec2021
numericalanswers
digitalcircuits
sequentialcircuit
counters
+1
vote
1
answer
23
GATE EC 2021  GA Question: 9
The number of minutes spent by two students, $X$ and $Y$, exercising every day in a given week are shown in the bar chart above. The number of days in the given week in which one of the students spent a minimum of $10\%$ more than the other student, on a given day, is $4$ $5$ $6$ $7$
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2 days
ago
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Numerical Ability
by
Lakshman Patel RJIT
(
3.8k
points)

56
views
gateec2021
numericalability
datainterpretation
bargraph
+1
vote
1
answer
24
GATE EC 2021  GA Question: 8
Consider a square sheet of side $1$ unit. In the first step, it is cut along the main diagonal to get two triangles. In the next step. one of the cut triangles is revolved about its short edge to form a solid cone. The volume of the resulting cone, in cubic units, is ____________ $\frac{\pi }{3}$ $\frac{2\pi }{3}$ $\frac{3\pi }{2}$ $3\pi$
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Numerical Ability
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Lakshman Patel RJIT
(
3.8k
points)

71
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gateec2021
numericalability
mensuration
cones
+1
vote
2
answers
25
GATE ECE 2020  GA Question: 4
The Canadian constitution requires that equal importance be given to English and French. Last year, Air Canada lost a lawsuit, and had to pay a sixfigure fine to a Frenchspeaking couple after they filed complaints about formal in ... the French ones. the English announcements being longer than the French ones. equal importance being given to English and French.
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2 days
ago
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Verbal Ability
by
Lakshman Patel RJIT
(
3.8k
points)

132
views
gate2020ec
verbalability
verbalreasoning
passagereading
+1
vote
2
answers
26
GATE ECE 2020  GA Question: 2
He was not only accused of theft _____ of conspiracy. rather but also but even rather than
answer selected
2 days
ago
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Verbal Ability
by
Lakshman Patel RJIT
(
3.8k
points)

318
views
gate2020ec
verbalability
englishgrammar
+1
vote
2
answers
27
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 $x > 1$? $e^{x}$ $\sqrt{x}$ $1/x$ $e^{x}$
commented
3 days
ago
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Numerical Ability
by
Arjun
(
4.4k
points)

265
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gate2020ec
numericalability
functions
+1
vote
2
answers
28
GATE ECE 2020  GA Question: 6
The global financial crisis in $2008$ is considered to be the most serious worldwide financial crisis, which started with the subprime lending crisis in $\text{USA}$ in $2007$. The subprime lending crisis led to the ... $\rightarrow$ East Asian crisis$\rightarrow$ banking crisis$\rightarrow$ subprime lending crisis.
answer selected
3 days
ago
in
Verbal Ability
by
Lakshman Patel RJIT
(
3.8k
points)

128
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gate2020ec
verbalability
verbalreasoning
passagereading
+1
vote
1
answer
29
GATE ECE 2020  GA Question: 3
Select the word that fits the analogy: Explicit: Implicit :: Express: _______ Impress Repress Compress Suppress
answer selected
3 days
ago
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Verbal Ability
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Arjun
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4.4k
points)

260
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gate2020ec
verbalability
wordpairs
+1
vote
1
answer
30
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 ________. $0^{\circ}$ $7.5^{\circ}$ $15^{\circ}$ $22.5^{\circ}$
answer selected
3 days
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in
Numerical Ability
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Arjun
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4.4k
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153
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gate2020ec
numericalability
clocktime
+1
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1
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31
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 $\beta =b/a$ $\beta^{2} =ac$ $\beta^{3} =bc/\left ( 2a^{2} \right )$ $\beta^{2} \neq 4ac$
answer edited
5 days
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in
Numerical Ability
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Arjun
(
4.4k
points)

136
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gate2020ec
numericalability
quadraticequations
+1
vote
1
answer
32
GATE ECE 2020  GA Question: 8
A circle with centre $\text{O}$ is shown in the figure. A rectangle $\text{PQRS}$ of maximum possible area is inscribed in the circle. If the radius of the circle is $a$, then the area of the shaded portion is _______. $\pi a^{2}a^{2}$ $\pi a^{2}\sqrt{2}a^{2}$ $\pi a^{2}2a^{2}$ $\pi a^{2}3a^{2}$
answer edited
5 days
ago
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Numerical Ability
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Lakshman Patel RJIT
(
3.8k
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794
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gate2020ec
numericalability
geometry
circle
area
+1
vote
1
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33
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
answer selected
5 days
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Verbal Ability
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Arjun
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4.4k
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223
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gate2020ec
verbalability
mostappropriateword
+1
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2
answers
34
GATE ECE 2020  GA Question: 10
The following figure shows the data of students enrolled in $5$ years $(2014\;\text{to}\; 2018)$ for two schools $P$ and $Q$. During this period, the ratio of the average number of the students enrolled in school $P$ to the average of the difference of the number of students enrolled in schools $P$ and $Q$ is _______. $8 : 23$ $23 : 8$ $23 : 31$ $31 : 23$
answer selected
Apr 2
in
Numerical Ability
by
gatecse
(
1.5k
points)

484
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gate2020ec
numericalability
datainterpretation
bargraph
0
votes
0
answers
35
GATE EC 2021  Question: 33
The electrical system shown in the figure converts input source current $i_{s}(t)$ to output voltage $v_{o}(t)$ Current i $i_{L}(t)$ in the inductor and voltage $v_{c}(t)$ across the capacitor ... as well as completely observable completely state controllable but not observable completely observable but not state controllable neither state controllable nor observable
edited
Mar 19
in
Others
by
soujanyareddy13
(
100
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13
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gateec2021
0
votes
0
answers
36
GATE EC 2021  Question: 32
The content of the registers are $R_{1} = 25H, R_{2} = 30H$ and $R_{3} = 40H$. The following machine instructions are executed. $\text{PUSH } \{R_{1}\}$ $\text{PUSH } \{R_{2}\}$ $\text{PUSH } \{R_{3}\}$ $\text{POP } \{R_{1}\}$ $\text{POP } \{R_{2}\}$ ... $R_{1}=30H,\:R_{2}=40H,\:R_{3}=25H$ $R_{1}=40H,\:R_{2}=25H,\:R_{3}=30H$
edited
Mar 17
in
Others
by
soujanyareddy13
(
100
points)

12
views
gateec2021
0
votes
0
answers
37
GATE EC 2021  Question: 22
Consider a carrier signal which is amplitude modulated by a singletone sinusoidal message signal with a modulation index of $50\%$. If the carrier and one of the sidebands are suppressed in the modulated signal, the percentage of power saved (rounded off to one decimal place) is ______________
edited
Mar 17
in
Others
by
soujanyareddy13
(
100
points)

16
views
gateec2021
numericalanswers
0
votes
0
answers
38
GATE EC 2021  Question: 23
A speech signal, band limited to $4\:\text{kHz}$, is sampled at $1.25$ times the Nyquist rate. The speech samples, assumed to be statistically independent and uniformly distributed in the range $5\:V$ to $+5\:V$, are ... transmission of the signal with arbitrarily small probability of transmission error (rounded off to two decimal places) is _____ $\text{kHz}$.
edited
Mar 17
in
Others
by
soujanyareddy13
(
100
points)

30
views
gateec2021
numericalanswers
0
votes
0
answers
39
GATE EC 2021  Question: 4
Consider a realvalued baseband signal $x(t)$, band limited to $\text{10 kHz}$. The Nyquist rate for the signal $y\left ( t \right )=x\left ( t \right )x\left ( 1+\dfrac{t}{2} \right )$ is $\text{15 kHz}$ $\text{30 kHz}$ $\text{60 kHz}$ $\text{20 kHz}$
asked
Feb 20
in
Others
by
Arjun
(
4.4k
points)

15
views
gateec2021
0
votes
0
answers
40
GATE EC 2021  Question: 5
Consider two $16$point sequences $x\left [ n \right ]$ and $h\left [ n \right ]$. Let the linear convolution of $x\left [ n \right ]$ and $h\left [ n \right ]$ be denoted by $y\left [ n \right ]$, while $z\left [ n \right ]$ denotes the $16$point inverse discrete Fourier ... $k=0,1,2,,15$ $k=0$ $k=15$ $\text{k=0 and k=15}$
asked
Feb 20
in
Others
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Arjun
(
4.4k
points)

18
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