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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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in
Analytical Aptitude
by
Arjun
(
4.4k
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322
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gateec-2021
analytical-aptitude
logical-reasoning
statements-follow
+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
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Lakshman Patel RJIT
(
3.8k
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47
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gateec-2021
numerical-ability
simple-compound-interest
+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
in
Numerical Ability
by
Lakshman Patel RJIT
(
3.8k
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|
43
views
gateec-2021
numerical-ability
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 $P-Q$ becomes the line of symmetry is ____________ $4$ $3$ $6$ $7$
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2 days
ago
in
Spatial Aptitude
by
Lakshman Patel RJIT
(
3.8k
points)
|
67
views
gateec-2021
spatial-aptitude
patterns-in-two-dimensions
+1
vote
1
answer
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
ago
in
Verbal Ability
by
Lakshman Patel RJIT
(
3.8k
points)
|
32
views
gateec-2021
verbal-ability
word-pairs
+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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Verbal Ability
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Lakshman Patel RJIT
(
3.8k
points)
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38
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gateec-2021
verbal-ability
english-grammar
tense
+1
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1
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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
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Lakshman Patel RJIT
(
3.8k
points)
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36
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gateec-2021
verbal-ability
verbal-reasoning
passage-reading
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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in
Control Systems
by
Lakshman Patel RJIT
(
3.8k
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15
views
gateec-2021
control-systems
0
votes
0
answers
9
GATE EC 2021 | Question: 17
Consider the vector field $F\:=\:a_{x}\left ( 4y-c_{1}z \right )+a_y\left ( 4x + 2z\right )+a_{z}\left ( 2y +z\right )$ 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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Vector Analysis
by
Lakshman Patel RJIT
(
3.8k
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12
views
gateec-2021
numerical-answers
vector-analysis
vector-in-planes
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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2 days
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Vector Analysis
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Lakshman Patel RJIT
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3.8k
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13
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gateec-2021
numerical-answers
vector-analysis
0
votes
0
answers
11
GATE EC 2021 | Question: 36
A real $2\times2$ non-singular 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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in
Linear Algebra
by
Lakshman Patel RJIT
(
3.8k
points)
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12
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gateec-2021
numerical-answers
linear-algebra
eigen-values
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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2 days
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in
Digital Circuits
by
Lakshman Patel RJIT
(
3.8k
points)
|
15
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gateec-2021
digital-circuits
combinational-circuits
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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in
Probability and Statistics
by
Lakshman Patel RJIT
(
3.8k
points)
|
19
views
gateec-2021
probability-and-statistics
probability
conditional-probability
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 counter-clockwise oriented circle defined as $\left | x-i \right |=2$. 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)
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68
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gateec-2021
complex-analysis
0
votes
0
answers
15
GATE EC 2021 | Question: 2
Consider the differential equation given below. $\frac{dy}{dx}+\frac{x}{1-x^{2}}y=x\sqrt{y}$ The integrating factor of the differential equation is $\left ( 1-x^{2} \right )^{-3/4}$ $\left ( 1-x^{2} \right )^{-1/4}$ $\left ( 1-x^{2} \right )^{-3/2}$ $\left ( 1-x^{2} \right )^{-1/2}$
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Differential Equations
by
Lakshman Patel RJIT
(
3.8k
points)
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17
views
gateec-2021
differential-equations
first-order-differential-equation
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
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in
Vector Analysis
by
Lakshman Patel RJIT
(
3.8k
points)
|
13
views
gateec-2021
numerical-answers
vector-analysis
vector-in-planes
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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Digital Circuits
by
Lakshman Patel RJIT
(
3.8k
points)
|
13
views
gateec-2021
digital-circuits
combinational-circuits
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
ago
in
Digital Circuits
by
Lakshman Patel RJIT
(
3.8k
points)
|
34
views
gateec-2021
digital-circuits
number-system
number-representation
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
gateec-2021
probability-and-statistics
random-variable
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 $2:3$ $3:4$ $4:5$ $5:6$
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2 days
ago
in
Numerical Ability
by
Lakshman Patel RJIT
(
3.8k
points)
|
56
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gateec-2021
numerical-ability
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
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in
Vector Analysis
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Lakshman Patel RJIT
(
3.8k
points)
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18
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gateec-2021
vector-analysis
vector-in-planes
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 flip-flops is assumed to be zero. The clock ($\text{Clk}$ ... of triggering clock edges after which the flip-flop outputs $Q_{2}Q_{1}Q_{0}$ becomes $1\; 0\; 0$ (in integer) is
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Digital Circuits
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Lakshman Patel RJIT
(
3.8k
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13
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gateec-2021
numerical-answers
digital-circuits
sequential-circuit
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
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in
Numerical Ability
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Lakshman Patel RJIT
(
3.8k
points)
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56
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gateec-2021
numerical-ability
data-interpretation
bar-graph
+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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3.8k
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71
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numerical-ability
mensuration
cones
+1
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2
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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 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.
answer selected
2 days
ago
in
Verbal Ability
by
Lakshman Patel RJIT
(
3.8k
points)
|
132
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gate2020-ec
verbal-ability
verbal-reasoning
passage-reading
+1
vote
2
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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
in
Verbal Ability
by
Lakshman Patel RJIT
(
3.8k
points)
|
318
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gate2020-ec
verbal-ability
english-grammar
+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
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ago
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Numerical Ability
by
Arjun
(
4.4k
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265
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gate2020-ec
numerical-ability
functions
+1
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2
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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.
answer selected
3 days
ago
in
Verbal Ability
by
Lakshman Patel RJIT
(
3.8k
points)
|
128
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gate2020-ec
verbal-ability
verbal-reasoning
passage-reading
+1
vote
1
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29
GATE ECE 2020 | GA Question: 3
Select the word that fits the analogy: Explicit: Implicit :: Express: _______ Impress Repress Compress Suppress
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in
Verbal Ability
by
Arjun
(
4.4k
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260
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gate2020-ec
verbal-ability
word-pairs
+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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Numerical Ability
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Arjun
(
4.4k
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153
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gate2020-ec
numerical-ability
clock-time
+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
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136
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gate2020-ec
numerical-ability
quadratic-equations
+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 _______. $\pi a^{2}-a^{2}$ $\pi a^{2}-\sqrt{2}a^{2}$ $\pi a^{2}-2a^{2}$ $\pi a^{2}-3a^{2}$
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Numerical Ability
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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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223
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verbal-ability
most-appropriate-word
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2
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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
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gatecse
(
1.5k
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484
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gate2020-ec
numerical-ability
data-interpretation
bar-graph
0
votes
0
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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
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soujanyareddy13
(
100
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13
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gateec-2021
0
votes
0
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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
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|
12
views
gateec-2021
0
votes
0
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37
GATE EC 2021 | Question: 22
Consider a carrier signal which is amplitude modulated by a single-tone 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
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|
16
views
gateec-2021
numerical-answers
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
gateec-2021
numerical-answers
0
votes
0
answers
39
GATE EC 2021 | Question: 4
Consider a real-valued base-band 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
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|
15
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gateec-2021
0
votes
0
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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
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Others
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18
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