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2
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1
answer
1
GATE ECE 2022 | GA Question: 4
The figure shows a grid formed by a collection of unit squares. The unshaded unit square in the grid represents a hole. What is the maximum number of squares without a “hole in the interior” that can be formed within the $4 \times 4$ grid using the unit squares as building blocks? $15$ $20$ $21$ $26$
Arjun
asked
in
Spatial Aptitude
Feb 15
by
Arjun
6.0k
points
191
views
gateece-2022
spatial-aptitude
patterns-in-two-dimensions
counting-figure
2
votes
1
answer
2
GATE ECE 2022 | GA Question: 10
Consider the following square with the four corners and the center marked as $\text{P, Q, R, S}$ and $\text{T}$ respectively. Let $\text{X, Y}$ and $\text{Z}$ represent the following operations: $\text{X:}$ rotation of the square by $180$ ... The sequence of operations $(2)$ and $(3)$ are equivalent The sequence of operations $(1), (2)$ and $(3)$ are equivalent
Arjun
asked
in
Spatial Aptitude
Feb 15
by
Arjun
6.0k
points
216
views
gateece-2022
spatial-aptitude
rotation
2
votes
1
answer
3
GATE ECE 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? $9,92,500$ $9,95,006$ $10,00,000$ $12,51,506$
Arjun
asked
in
Quantitative Aptitude
Feb 20, 2021
by
Arjun
6.0k
points
290
views
gateec-2021
numerical-ability
simple-compound-interest
2
votes
1
answer
4
GATE ECE 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
Arjun
asked
in
Verbal Aptitude
Feb 20, 2021
by
Arjun
6.0k
points
423
views
gateec-2021
verbal-ability
word-pairs
2
votes
1
answer
5
GATE ECE 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 ____________ $\frac{\pi }{3}$ $\frac{2\pi }{3}$ $\frac{3\pi }{2}$ $3\pi$
Arjun
asked
in
Quantitative Aptitude
Feb 20, 2021
by
Arjun
6.0k
points
1.7k
views
gateec-2021
numerical-ability
mensuration
cones
2
votes
0
answers
6
GATE ECE 2019 | Question: 1
Which one of the following functions is analytic over the entire complex plane? $\ln(z)$ $e^{1/z}$ $\frac{1}{1-z}$ $\cos(z)$
Arjun
asked
in
Complex Analysis
Feb 12, 2019
by
Arjun
6.0k
points
275
views
gate2019-ec
complex-analysis
1
vote
0
answers
7
GATE ECE 1995 | Question 1.31
When a $\text{CPU}$ is interrupted, it stops execution of instructions acknowledges interrupt and branches of subroutine acknowledges interrupt and continues acknowledges interrupt and waits for the next instruction from the interrupting device
admin
asked
in
Others
Sep 22
by
admin
32.8k
points
9
views
gate1995-ec
1
vote
1
answer
8
GATE ECE 2022 | GA Question: 1
Mr. $\text{X}$ speaks __________ Japanese ____________ Chinese. neither /or either / nor neither / nor also / but
Arjun
asked
in
Verbal Aptitude
Feb 15
by
Arjun
6.0k
points
236
views
gateece-2022
verbal-aptitude
most-appropriate-word
1
vote
1
answer
9
GATE ECE 2022 | GA Question: 2
A sum of money is to be distributed among $\text{P, Q, R,}$ and $\text{S}$ in the proportion $5:2:4:3,$ respectively. If $\text{R}$ gets ₹ $ 1000$ more than $\text{S},$ what is the share of $\text{Q (in ₹)}?$ $500$ $1000$ $1500$ $2000$
Arjun
asked
in
Quantitative Aptitude
Feb 15
by
Arjun
6.0k
points
152
views
gateece-2022
quantitative-aptitude
ratio-proportions
1
vote
1
answer
10
GATE ECE 2022 | GA Question: 3
A trapezium has vertices marked as $\text{P, Q, R}$ and $\text{S}$ (in that order anticlockwise). The side $\text{PQ}$ is parallel to side $\text{SR}.$ Further, it is given that, $\text{PQ = 11 cm, QR = 4 cm, RS = 6 cm}$ and $\text{SP = 3 cm.}$ What is the shortest distance between $\text{PQ}$ and $\text{SR (in cm)}?$ $1.80$ $2.40$ $4.20$ $5.76$
Arjun
asked
in
Quantitative Aptitude
Feb 15
by
Arjun
6.0k
points
400
views
gateece-2022
quantitative-aptitude
geometry
1
vote
1
answer
11
GATE ECE 2022 | GA Question: 5
An art gallery engages a security guard to ensure that the items displayed are protected. The diagram below represents the plan of the gallery where the boundary walls are opaque. The location the security guard posted is identified such that all the inner space (shaded region in the plan) ... $\text{Q}$ $\text{Q}$ $\text{Q}$ and $\text{S}$ $\text{R}$ and $\text{S}$
Arjun
asked
in
Spatial Aptitude
Feb 15
by
Arjun
6.0k
points
175
views
gateece-2022
spatial-aptitude
patterns-in-two-dimensions
1
vote
1
answer
12
GATE ECE 2022 | GA Question: 7
Consider the following inequalities. $2x – 1 > 7$ $2x – 9 < 1$ Which one of the following expressions below satisfies the above two inequalities? $x \leq – 4$ $ – 4 < x \leq 4$ $4 < x < 5$ $x \geq 5$
Arjun
asked
in
Quantitative Aptitude
Feb 15
by
Arjun
6.0k
points
103
views
gateece-2022
quantitative-aptitude
inequality
1
vote
1
answer
13
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? $4$ $4 \sqrt{2}$ $8$ $8 \sqrt{2}$
Arjun
asked
in
Quantitative Aptitude
Feb 15
by
Arjun
6.0k
points
113
views
gateece-2022
quantitative-aptitude
cartesian-coordinates
area
1
vote
1
answer
14
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 $\text{R}$ $\text{P}$ $\text{Q}$ $\text{T}$
Arjun
asked
in
Analytical Aptitude
Feb 15
by
Arjun
6.0k
points
283
views
gateece-2022
analytical-aptitude
logical-reasoning
statements-follow
1
vote
1
answer
15
The value of the integral ∫ ∞ − ∞ 12 cos ( 2 π ) sin ( 4 π t ) 4 π t d t is
akalok808
asked
in
Continuous-time Signals
Aug 24, 2021
by
akalok808
130
points
125
views
1
vote
2
answers
16
GATE ECE 2021 | GA Question: 2
$p$ and $q$ are positive integers and $\dfrac{p}{q}+\dfrac{q}{p}=3,$ then, $\dfrac{p^{2}}{q^{2}}+\dfrac{q^{2}}{p^{2}}=$ $3$ $7$ $9$ $11$
Arjun
asked
in
Quantitative Aptitude
Feb 20, 2021
by
Arjun
6.0k
points
309
views
gateec-2021
numerical-ability
algebra
1
vote
1
answer
17
GATE ECE 2021 | GA Question: 3
The least number of squares that must be added so that the line $P-Q$ becomes the line of symmetry is ____________ $4$ $3$ $6$ $7$
Arjun
asked
in
Spatial Aptitude
Feb 20, 2021
by
Arjun
6.0k
points
348
views
gateec-2021
spatial-aptitude
patterns-in-two-dimensions
1
vote
1
answer
18
GATE ECE 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 $\text{CORRECT}$? $\text{(i) and (ii)}$ $\text{(i) and (iii)}$ $\text{(ii) and (iii)}$ $\text{(i) and (iv)}$
Arjun
asked
in
Verbal Aptitude
Feb 20, 2021
by
Arjun
6.0k
points
412
views
gateec-2021
verbal-ability
english-grammar
tense
1
vote
1
answer
19
GATE ECE 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
Arjun
asked
in
Analytical Aptitude
Feb 20, 2021
by
Arjun
6.0k
points
636
views
gateec-2021
analytical-aptitude
logical-reasoning
statements-follow
1
vote
1
answer
20
GATE ECE 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 ... $\text{(ii) and (iv)}$ $\text{(i), (iii) and (iv)}$ $\text{(i) and (iii)}$
Arjun
asked
in
Verbal Aptitude
Feb 20, 2021
by
Arjun
6.0k
points
265
views
gateec-2021
verbal-ability
verbal-reasoning
passage-reading
1
vote
1
answer
21
GATE ECE 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 $4$ $5$ $6$ $7$
Arjun
asked
in
Quantitative Aptitude
Feb 20, 2021
by
Arjun
6.0k
points
438
views
gateec-2021
numerical-ability
data-interpretation
bar-graph
1
vote
1
answer
22
GATE ECE 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 $2:3$ $3:4$ $4:5$ $5:6$
Arjun
asked
in
Quantitative Aptitude
Feb 20, 2021
by
Arjun
6.0k
points
386
views
gateec-2021
numerical-ability
geometry
triangles
area
1
vote
1
answer
23
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
go_editor
asked
in
Verbal Aptitude
Feb 13, 2020
by
go_editor
1.9k
points
698
views
gate2020-ec
verbal-ability
most-appropriate-word
1
vote
2
answers
24
GATE ECE 2020 | GA Question: 2
He was not only accused of theft _____ of conspiracy. rather but also but even rather than
go_editor
asked
in
Verbal Aptitude
Feb 13, 2020
by
go_editor
1.9k
points
800
views
gate2020-ec
verbal-ability
english-grammar
1
vote
1
answer
25
GATE ECE 2020 | GA Question: 3
Select the word that fits the analogy: Explicit: Implicit :: Express: _______ Impress Repress Compress Suppress
go_editor
asked
in
Verbal Aptitude
Feb 13, 2020
by
go_editor
1.9k
points
641
views
gate2020-ec
verbal-ability
word-pairs
1
vote
2
answers
26
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 six-figure fine to a French-speaking 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.
go_editor
asked
in
Verbal Aptitude
Feb 13, 2020
by
go_editor
1.9k
points
388
views
gate2020-ec
verbal-ability
verbal-reasoning
passage-reading
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 $x > 1$? $e^{x}$ $\sqrt{x}$ $1/x$ $e^{-x}$
go_editor
asked
in
Quantitative Aptitude
Feb 13, 2020
by
go_editor
1.9k
points
882
views
gate2020-ec
numerical-ability
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 world-wide financial crisis, which started with the sub-prime lending crisis in $\text{USA}$ in $2007$. The sub-prime lending crisis led to the ... $\rightarrow$ East Asian crisis$\rightarrow$ banking crisis$\rightarrow$ subprime lending crisis.
go_editor
asked
in
Verbal Aptitude
Feb 13, 2020
by
go_editor
1.9k
points
349
views
gate2020-ec
verbal-ability
verbal-reasoning
passage-reading
1
vote
1
answer
29
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 ________. $0^{\circ}$ $7.5^{\circ}$ $15^{\circ}$ $22.5^{\circ}$
go_editor
asked
in
Quantitative Aptitude
Feb 13, 2020
by
go_editor
1.9k
points
385
views
gate2020-ec
numerical-ability
clock-time
1
vote
1
answer
30
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 _______. $\pi a^{2}-a^{2}$ $\pi a^{2}-\sqrt{2}a^{2}$ $\pi a^{2}-2a^{2}$ $\pi a^{2}-3a^{2}$
go_editor
asked
in
Quantitative Aptitude
Feb 13, 2020
by
go_editor
1.9k
points
2.0k
views
gate2020-ec
numerical-ability
geometry
circle
area
1
vote
1
answer
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 $\beta =b/a$ $\beta^{2} =ac$ $\beta^{3} =bc/\left ( 2a^{2} \right )$ $\beta^{2} \neq 4ac$
go_editor
asked
in
Quantitative Aptitude
Feb 13, 2020
by
go_editor
1.9k
points
437
views
gate2020-ec
numerical-ability
quadratic-equations
1
vote
2
answers
32
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 _______. $8 : 23$ $23 : 8$ $23 : 31$ $31 : 23$
go_editor
asked
in
Quantitative Aptitude
Feb 13, 2020
by
go_editor
1.9k
points
1.2k
views
gate2020-ec
numerical-ability
data-interpretation
bar-graph
1
vote
0
answers
33
GATE ECE 2020 | Question: 2
For a vector field $\overrightarrow{A}$, which one of the following is $\text{FALSE}$? $\overrightarrow{A}$ is solenoidal if $\triangledown \cdot \overrightarrow{A}=0.$ $\triangledown \times \overrightarrow{A}$ ...
go_editor
asked
in
Vector Analysis
Feb 13, 2020
by
go_editor
1.9k
points
287
views
gate2020-ec
vector-analysis
1
vote
0
answers
34
GATE ECE 2020 | Question: 8
The components in the circuit shown below are ideal. If the op-amp is in positive feedback and the input voltage $V_{i}$ is a sine wave of amplitude $1$ $\text{V}$, the output voltage $V_{o}$ is a non-inverted sine wave of $2$ $\text{V}$ amplitude. an inverted sine ... . a square wave of $5$ $\text{V}$ amplitude. a constant of either $+5$ $\text{V}$ or $-5$ $\text{V}$.
go_editor
asked
in
Communications
Feb 13, 2020
by
go_editor
1.9k
points
443
views
gate2020-ec
communications
amplitude
1
vote
0
answers
35
GATE ECE 2020 | Question: 18
In the circuit shown below, all the components are ideal. If $V_{i}$ is $+2\:V$, the current $I_{o}$ sourced by the op-amp is __________ $\text{mA}$.
go_editor
asked
in
Analog Circuits
Feb 13, 2020
by
go_editor
1.9k
points
101
views
gate2020-ec
numerical-answers
op-amps
analog-circuits
1
vote
1
answer
36
GATE ECE 2020 | Question: 25
The two sides of a fair coin are labelled as $0$ to $1$. The coin is tossed two times independently. Let $M$ and $N$ denote the labels corresponding to the outcomes of those tosses. For a random variable $X$, defined as $X = \text{min}(M, N)$, the expected value $E(X)$ (rounded off to two decimal places) is ___________.
go_editor
asked
in
Probability and Statistics
Feb 13, 2020
by
go_editor
1.9k
points
195
views
gate2020-ec
numerical-answers
probability-and-statistics
probability
independent-events
random-variable
expectation
1
vote
0
answers
37
GATE ECE 2020 | Question: 28
The current $I$ in the given network is $0 \: A$ $2.38\angle -96.37^{\circ}A$ $2.38\angle143.63^{\circ}A$ $2.38\angle-23.63^{\circ}A$
go_editor
asked
in
Network Solution Methods
Feb 13, 2020
by
go_editor
1.9k
points
78
views
gate2020-ec
network-solution-methods
1
vote
0
answers
38
GATE ECE 2020 | Question: 30
For the given circuit, which one of the following is correct state equation? ...
go_editor
asked
in
Network Solution Methods
Feb 13, 2020
by
go_editor
1.9k
points
84
views
gate2020-ec
network-solution-methods
state-equations
1
vote
0
answers
39
GATE ECE 2020 | Question: 33
The base of an $\text{npn BJT T1}$ has a linear doping profile $N_{B}\left ( x \right )$ as shown below. The base of another $\text{npn BJT T2}$ has a uniform doping $N_{B}$ of $10^{17}cm^{-3}$. All other parameters are identical for both the ... $\text{T1}$. approximately $2.5$ times that of $\text{T1}$. approximately $0.7$ times that of $\text{T1}$.
go_editor
asked
in
Analog Circuits
Feb 13, 2020
by
go_editor
1.9k
points
132
views
gate2020-ec
analog-circuits
bipolar-junction-transistor
1
vote
0
answers
40
GATE ECE 2020 | Question: 37
Using the incremental low frequency small-signal model of the $\text{MOS}$ device, the Norton equivalent resistance of the following circuit is $r_{ds}+R+g_{m}r_{ds}R \\$ $\dfrac{r_{ds}+R}{1+g_{m}r_{ds}} \\$ $r_{ds}+\dfrac{1}{g_{m}}+R \\$ $r_{ds}+R$
go_editor
asked
in
Network Solution Methods
Feb 13, 2020
by
go_editor
1.9k
points
178
views
gate2020-ec
network-solution-methods
nortons
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