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1
GATE Electrical 2022 | Question: 1
The transfer function of a real system, $H(s)$, is given as: $H\left ( s \right ) = \dfrac{As + B}{S^{2} + Cs + D}$ where $\text{A, B, C}$ and $D$ are positive constants. This system cannot operate as low pass filter. high pass filter. band pass filter. an integrator.
retagged
in
new
Mar 21
gate2022-ee
multiple-selects
1
answer
2
GATE Electrical 2022 | GA Question: 5
The figure below shows the front and rear view of a disc, which is shaded with identical patterns. The disc is flipped once with respect to any one of the fixed axes $1 -1$, $2 -2$ or $3 -3$ chosen uniformly at random. What is the probability that the ... $0$ $\frac{1}{3}$ $\frac{2}{3}$ $1$
answered
in
Quantitative Aptitude
Feb 26
gate2022-ee
quantitative-aptitude
probability
1
answer
3
GATE Electrical 2022 | GA Question: 7
There are two identical dice with a single letter on each of the faces. The following six letters: $\text{Q, R, S, T, U}$ and $\text{V}$, one on each of the faces. Any of the six outcomes are equally likely. The two dice are thrown once independently at random. What is the ... $\text{V}$? $\frac{1}{4}$ $\frac{3}{4}$ $\frac{1}{6}$ $\frac{5}{36}$
answered
in
Quantitative Aptitude
Feb 26
gate2022-ee
quantitative-aptitude
probability
1
answer
4
GATE Electrical 2022 | GA Question: 8
The price of an item is $10\%$ cheaper in an online store $S$ compared to the price at another online store $M$. Store $S$ charges $₹\;150$ for delivery. There are no delivery charges for orders from the store $M$. A person bought the items from ... online store $S$ (in $₹$) if there are no other charges than what is described above? $2500$ $2250$ $1750$ $1500$
answered
in
Quantitative Aptitude
Feb 22
gate2022-ee
quantitative-aptitude
cost-market-price
1
answer
5
GATE Electrical 2022 | GA Question: 9
The letters $\text{P, Q, R, S, T}$ and ${U}$ are to be placed one per vertex on a regular convex hexagon, but not necessarily in the same order. Consider the following statements: The line segment joining $R$ and $S$ is longer than the line ... joining $U$ and $Q$ The line segment joining $Q$ and $S$ is perpendicular to the line segment joining $R$ and $P$
answer edited
in
Analytical Aptitude
Feb 22
gate2022-ee
analytical-aptitude
logical-reasoning
statements-follow
1
answer
6
GATE Electrical 2022 | GA Question: 10
An ant is at the bottom-left corner of a grid (point $\text{P}$) as shown above. It aims to move to the top-right corner of the grid. The ant moves only along the lines marked in the grid such that the current distance to the top-right corner strictly decreases. Which one of the following is a part of a possible trajectory of the ant during the movement?
answered
in
Spatial Aptitude
Feb 22
gate2022-ee
spatial-aptitude
patterns-in-two-dimensions
1
answer
7
GATE Electrical 2022 | GA Question: 4
Given below are two statements and four conclusions drawn based on the statements. Statement $1$: Some bottles are cups. Statement $2$: All cups are knives. Conclusion $\text{I}$ : Some bottles are knives. Conclusion $\text{II}$ : Some knives are ... $\text{IV}$ are correct Only conclusion $\text{III}$ and conclusion $\text{IV}$ are correct
answered
in
Analytical Aptitude
Feb 22
gate2022-ee
analytical-aptitude
statements-follow
1
answer
8
GATE Electrical 2022 | GA Question: 3
Three bells $P$, $Q$ and $R$ are rung periodically in a school. $P$ is rung every $20$ minutes; $Q$ is rung every $30$ minutes and $R$ is rung every $50$ minutes. If all the three bells are rung at $12 : 00$ $\text{PM}$, when will the three bells ring together again ... time? $5 : 00$ $\text{PM}$ $5 : 30$ $\text{PM}$ $6 : 00$ $\text{PM}$ $6 : 30$ $\text{PM}$
answer edited
in
Quantitative Aptitude
Feb 21
gate2022-ee
quantitative-aptitude
lcm-hcf
1
answer
9
GATE Electrical 2022 | GA Question: 2
In a $500\;m$ race, $P$ and $Q$ have speeds in the ratio of $3 : 4$. $Q$ starts the race when $P$ has already covered $140\; m$. What is the distance between $P$ and $Q$ (in $m$) when $P$ wins the race? $20$ $40$ $60$ $140$
answered
in
Quantitative Aptitude
Feb 21
gate2022-ee
quantitative-aptitude
speed-time-distance
1
answer
10
GATE Electrical 2022 | GA Question: 1
As you grow older, an injury to your ______________ may take longer to ____________. heel / heel heal / heel heal / heal heel / heal
answered
in
Verbal Aptitude
Feb 21
gate2022-ee
verbal-aptitude
most-appropriate-word
0
answers
11
GATE Electrical 2022 | GA Question: 6
Altruism is the human concern for the wellbeing of others. Altruism has been shown to be motivated more by social bonding, familiarity and identification of belongingness to a group. The notion that altruism may be attributed to ... engage in altruism due to group identification but not empathy Humans engage in altruism due to empathy but not familiarity
retagged
in
Analytical Aptitude
Feb 19
gate2022-ee
analytical-aptitude
logical-reasoning
passage-reading
1
answer
12
GATE Electrical 2021 | GA Question: 9
The number of students passing or failing in an exam for a particular subject is presented in the bar chart above. Students who pass the exam cannot appear for the exam again. Students who fail the exam in the first attempt must appear for the exam in the following ... $65$ and $53$ $60$ and $50$ $55$ and $53$ $55$ and $48$
edited
in
Quantitative Aptitude
Apr 22, 2021
gateee-2021
numerical-ability
data-interpretation
bar-graph
2
answers
13
GATE Electrical 2020 | GA Question: 10
The revenue and expenditure of four different companies $\text{P, Q, R and S}$ in $2015$ are shown in the figure. If the revenue of company $\text{Q}$ in $2015$ was $20$% more than that in $2014$, and company $\text{Q}$ had earned a profit of ... expenditure in $2014$, then its expenditure (in million rupees) in $2014$ was _______. $32.7$ $33.7$ $34.1$ $35.1$
edited
in
Quantitative Aptitude
Apr 22, 2021
gate2020-ee
numerical-ability
data-interpretation
bar-graph
1
answer
14
GATE Electrical 2021 | GA Question: 2
A transparent square sheet shown above is folded along the dotted line. The folded sheet will look like ________________.
recategorized
in
Spatial Aptitude
Apr 11, 2021
gateee-2021
spatial-aptitude
paper-folding
2
answers
15
GATE Electrical 2021 | GA Question: 3
For a regular polygon having $10$ sides, the interior angle between the sides of the polygon, in degrees, is: $396$ $324$ $216$ $144$
recategorized
in
Spatial Aptitude
Apr 11, 2021
gateee-2021
spatial-aptitude
patterns-in-three-dimensions
2
answers
16
GATE Electrical 2021 | GA Question: 4
Which one of the following numbers is exactly divisible by $\left ( 11^{13} +1\right )$? $11^{26} +1$ $11^{33} +1$ $11^{39} -1$ $11^{52} -1$
recategorized
in
Quantitative Aptitude
Apr 11, 2021
gateee-2021
numerical-ability
number-system
number-theory
1
answer
17
GATE Electrical 2021 | GA Question: 5
$\textit{Oasis}$ is to $\textit{sand}$ as $\textit{island}$ is to _____________ Which one of the following options maintains a similar logical relation in the above sentence? Stone Land Water Mountain
recategorized
in
Verbal Aptitude
Apr 11, 2021
gateee-2021
verbal-ability
word-pairs
1
answer
18
GATE Electrical 2021 | GA Question: 6
The importance of sleep is often overlooked by students when they are preparing for exams. Research has consistently shown that sleep deprivation greatly reduces the ability to recall the material learnt. Hence, cutting down on sleep to study longer hours can ... he needs little or no sleep. To do well in an exam, adequate sleep must be part of the preparation.
recategorized
in
Verbal Aptitude
Apr 11, 2021
gateee-2021
verbal-ability
verbal-reasoning
passage-reading
1
answer
19
GATE Electrical 2021 | GA Question: 7
In the figure shown above, each inside square is formed by joining the midpoints of the sides of the next larger square. The area of the smallest square (shaded) as shown, in $\text{cm}^{2}$ is: $12.50$ $6.25$ $3.125$ $1.5625$
recategorized
in
Quantitative Aptitude
Apr 11, 2021
gateee-2021
numerical-ability
geometry
squares
area
1
answer
20
GATE Electrical 2021 | GA Question: 8
Let $X$ be a continuous random variable denoting the temperature measured. The range of temperature is $[0, 100]$ degree Celsius and let the probability density function of $X$ be $f\left ( x \right )=0.01$ for $0\leq X\leq 100$. The mean of $X$ is __________ $2.5$ $5.0$ $25.0$ $50.0$
recategorized
in
Quantitative Aptitude
Apr 11, 2021
gateee-2021
numerical-ability
probability
probability-density-function
expectation
1
answer
21
GATE Electrical 2021 | GA Question: 1
The people _______________ were at the demonstration were from all sections of society. whose which who whom
recategorized
in
Verbal Aptitude
Apr 11, 2021
gateee-2021
verbal-ability
english-grammar
easy
0
answers
22
GATE Electrical 2021 | Question: 32
Let $f(t)$ be an even function, i.e. $f(-t)=f(t)$ for all $t$. Let the Fourier transform of $f(t)$ be defined as $F\left ( \omega \right )=\int\limits_{-\infty }^{\infty }\:f\left ( t \right )e^{-j\omega t}dt$ ... $f\left ( 0 \right )< 1$ $f\left ( 0 \right )> 1$ $f\left ( 0 \right )= 1$ $f\left ( 0 \right )= 0$
recategorized
in
Transform Theory
Apr 11, 2021
gateee-2021
transform-theory
fourier-transform
0
answers
23
GATE Electrical 2021 | Question: 2
Let $p\left ( z\right )=z^{3}+\left ( 1+j \right )z^{2}+\left ( 2+j \right )z+3$, where $z$ ... $p\left ( z \right )=0$ come in conjugate pairs All the roots cannot be real
recategorized
in
Complex Variables
Apr 11, 2021
gateee-2021
complex-variables
complex-number
0
answers
24
GATE Electrical 2021 | Question: 43
Consider a continuous-time signal $x(t)$ defined by $x(t)=0$ for $\left | t \right |> 1$, and $x\left ( t \right )=1-\left | t \right |$ for $\left | t \right |\leq 1$. Let the Fourier transform of $x(t)$ ... $X\left ( \omega \right )$ is ___________.
recategorized
in
Transform Theory
Apr 11, 2021
gateee-2021
numerical-answers
transform-theory
fourier-transform
1
answer
25
GATE Electrical 2021 | Question: 38
Let $A$ be a $10\times10$ matrix such that $A^{5}$ is a null matrix, and let $I$ be the $10\times10$ identity matrix. The determinant of $\text{A+I}$ is ___________________.
recategorized
in
Linear Algebra
Apr 11, 2021
gateee-2021
numerical-answers
linear-algebra
matrices
determinant
0
answers
26
GATE Electrical 2021 | Question: 37
A counter is constructed with three $D$ flip-flops. The input-output pairs are named $(D_{0},\:Q_{0})$, $(D_{1},\:Q_{1})$ and $(D_{2},\:Q_{2})$, where the subscript $0$ denotes the least significant bit. The output sequence is desired to be the Gray- ... $\overline{Q_{2}}Q_{0}+Q_{1}\overline{Q_{0}}$ $Q_{2}Q_{1}+\overline{Q_{2}}\:\overline{Q_{1}}$
recategorized
in
Analog and Digital Electronics
Apr 11, 2021
gateee-2021
analog-and-digital-electronics
sequential-circuit
flip-flops
0
answers
27
GATE Electrical 2021 | Question: 26
In the open interval $\left ( 0,1 \right )$, the polynomial $p\left ( x \right) =x^{4}-4x^{3}+2$ has two real roots one real root three real roots no real roots
recategorized
in
Calculus
Apr 11, 2021
gateee-2021
calculus
polynomials
0
answers
28
GATE Electrical 2021 | Question: 13
Suppose the circles $x^{2}+y^{2}=1$ and $\left ( x-1\right )^{2}+\left ( y-1 \right )^{2}=r^{2}$ intersect each other orthogonally at the point $\left ( u,v \right )$. Then $u+v=$ _______________.
recategorized
in
Calculus
Apr 11, 2021
gateee-2021
numerical-answers
calculus
curves
0
answers
29
GATE Electrical 2021 | Question: 5
Which one of the following vector functions represents a magnetic field $\overrightarrow{B}$? $\text{($\hat{X}, \hat{Y}$ and $\hat{Z}$ are unit vectors along x-axis, y-axis, and z-axis, respectively)}$ $10x\hat{X}+20y\hat{Y}-30z\hat{Z}$ $10y\hat{X}+20x\hat{Y}-10z\hat{Z}$ $10z\hat{X}+20y\hat{Y}-30x\hat{Z}$ $10x\hat{X}-30z\hat{Y}+20y\hat{Z}$
recategorized
in
Calculus
Apr 11, 2021
gateee-2021
calculus
field-vectors
0
answers
30
GATE Electrical 2021 | Question: 3
Let $f\left ( x \right )$ be a real-valued function such that ${f}'\left ( x_{0} \right )=0$ for some $x _{0} \in\left ( 0,1 \right ),$ and ${f}''\left ( x \right )> 0$ for all $x \in \left ( 0,1 \right )$ ... $(0,1)$ one local maximum in $(0,1)$ exactly one local minimum in $(0,1)$ two distinct local minima in $(0,1)$
recategorized
in
Calculus
Apr 11, 2021
gateee-2021
calculus
maxima-minima
0
answers
31
GATE Electrical 2021 | Question: 28
Let $\left ( -1 -j \right ), \left ( 3 -j \right ), \left ( 3 + j \right )$ and $\left ( -1+ j \right )$ be the vertices of a rectangle $C$ in the complex plane. Assuming that $C$ is traversed in counter-clockwise direction, the value of the contour integral $\oint _{C}\dfrac{dz}{z^{2}\left ( z-4 \right )}$ is $j\pi /2$ $0$ $-j\pi /8$ $j\pi /16$
recategorized
in
Calculus
Apr 11, 2021
gateee-2021
calculus
contour-plots
1
answer
32
GATE Electrical 2021 | Question: 1
Let $p$ and $q$ be real numbers such that $p^{2}+q^{2}=1$ . The eigenvalues of the matrix $\begin{bmatrix} p & q\\ q& -p \end{bmatrix}$are $1$ and $1$ $1$ and $-1$ $j$ and $-j$ $pq$ and $-pq$
recategorized
in
Linear Algebra
Apr 11, 2021
gateee-2021
linear-algebra
matrices
eigen-values
1
answer
33
GATE Electrical 2021 | GA Question: 10
Seven cars $\text{P, Q. R, S, T, U and V}$ are parked in a row not necessarily in that order. The cars $T$ and $U$ should be parked next to each other. The cars $S$ and $V$ also should be parked next to each other, whereas $P$ and $Q$ ... and $R$ are not parked together. $V$ is the only car parked in between $S$ and $R$. Car $P$ is parked at the extreme end.
recategorized
in
Analytical Aptitude
Apr 11, 2021
gateee-2021
analytical-aptitude
logical-reasoning
seating-arrangements
1
answer
34
GATE Electrical 2020 | GA Question: 8
In four-digit integer numbers from $1001$ to $9999$, the digit group $\text{“37”}$ (in the same sequence) appears ________ times. $270$ $279$ $280$ $299$
edited
in
Analytical Aptitude
Apr 11, 2021
gate2020-ee
analytical-aptitude
logical-reasoning
sequence-series
1
answer
35
GATE Electrical 2020 | GA Question: 2
People were prohibited_____their vehicles near the entrance of the main administrative building. to park from parking parking to have parked
answer selected
in
Verbal Aptitude
Apr 10, 2021
gate2020-ee
verbal-ability
most-appropriate-word
0
answers
36
GATE Electrical 2014 Set 2 | GA Question: 10
At what time between $6$ $a.m.$ and $7 \: a.m.$ will the minute hand and hour hand of a clock make an angle closest to $60^\circ$? $6:22 \: a.m.$ $6:27 \: a.m.$ $6:38 \: a.m.$ $6:45 \: a.m.$
recategorized
in
Quantitative Aptitude
Mar 17, 2021
gate2014-ee-2
numerical-ability
clock-time
0
answers
37
GATE Electrical 2021 | Question: 27
Suppose the probability that a coin toss shows "head" is $p$, where $0<p<1$. The coin is tossed repeatedly until the first "head" appears. The expected number of tosses required is $p/\left ( 1-p \right )$ $\left ( 1-p \right )/p$ $1/p$ $1/p^{2}$
retagged
in
new
Mar 10, 2021
gateee-2021
probability-and-statistics
probability
0
answers
38
GATE Electrical 2017 Set 2 | Question: 20
Let $y^{2}-2y+1=x$ and $\sqrt{x}+y=5$. The value of $x+\sqrt{y}$ equals _________. (Give the answer up to three decimal places).
retagged
in
Calculus
Mar 10, 2021
gate2017-ee-2
numerical-answers
calculus
curves
0
answers
39
GATE Electrical 2017 Set 2 | Question: 19
Let $x$ and $y$ be integers satisfying the following equations $2x^{2}+y^{2}=34$ $x+2y=11$ The value of $(x+y)$ is _______.
retagged
in
Calculus
Mar 10, 2021
gate2017-ee-2
numerical-answers
calculus
curves
2
answers
40
GATE Electrical 2020 | GA Question: 7
Select the next element of the series: $\text{Z, WV , RQP,}$ _____ $\text{LKJI}$ $\text{JIHG}$ $\text{KJIH}$ $\text{NMLK}$
retagged
in
Analytical Aptitude
Mar 10, 2021
gate2020-ee
analytical-aptitude
logical-reasoning
sequence-series
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