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GATE IN 2024 | Question: 27
The measured values from a flow instrument, whose range is between $0$ and $2$ flow units, are shown in the histogram. The systematic error (bias) and the maximum err...
admin
3.2k
points
asked
Feb 16, 2024
Measurements
gatein-2024
measurements
analytical-aptitude
+
–
0
0 votes
0
0 answers
GATE IN 2024 | Question: 28
Consider a discrete-time sequence$x[n]=\begin{cases} (0.2)^{n}, & 0 \leq n \leq 7 \\ 0, & \text { otherwise } \end{cases}$The region of convergence of $X(z)$, the $z$...
admin
3.2k
points
asked
Feb 16, 2024
Signals and Systems
gatein-2024
signals-and-systems
analysis-of-complex-variables
+
–
0
0 votes
0
0 answers
GATE IN 2024 | Question: 29
In the bridge circuit shown in the figure, under balanced condition, the values of $R$ and $C$ respectively, are$1.010 ~\Omega$ and $19.802 ~\mu \mathrm{F}$$9.901 ~\...
admin
3.2k
points
asked
Feb 16, 2024
Measurements
gatein-2024
measurements
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2024 | Question: 30
Laplace transform of a signal $x(t)$ is$$X(s)=\frac{1}{s^{2}+13 s+42}$$Let $u(t)$ be the unit step function. Choose the signal $x(t)$ from the following options if t...
admin
3.2k
points
asked
Feb 16, 2024
Signals and Systems
gatein-2024
signals-and-systems
laplace-transform
+
–
0
0 votes
0
0 answers
GATE IN 2024 | Question: 31
In the figure shown, both the opamps $\mathrm{A}_{1}$ and $\mathrm{A}_{2}$ are ideal, except that the opamp $\mathrm{A}_{1}$ has an offset voltage $\left(\mathrm{V}_{...
admin
3.2k
points
asked
Feb 16, 2024
Analog Electronics
gatein-2024
analog-electronics
+
–
0
0 votes
0
0 answers
GATE IN 2024 | Question: 32
In the figure shown, the positive edge triggered $\mathrm{D}$ flip-flops are initially reset to $Q=0$. The logic gates and the multiplexers have no propagation delay....
admin
3.2k
points
asked
Feb 16, 2024
Digital Electronics
gatein-2024
digital-electronics
flip-flops
multiplexers
logic-gates
+
–
0
0 votes
0
0 answers
GATE IN 2024 | Question: 33
In the figure shown, $R=1 \mathrm{~k} \Omega$ and $C=0.1 ~\mu \mathrm{F}$. For a dc gain of $-10$, the $3 \mathrm{~dB}$ cut-off frequency (rounded off to one decimal p...
admin
3.2k
points
asked
Feb 16, 2024
Analog Electronics
gatein-2024
analog-electronics
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2024 | Question: 34
Consider the feedback control system shown in the figure. The steady-state error $e_{s s}=\lim _{t \rightarrow \infty}(r(t)-y(t))$ due to unit step reference $r(t)$ i...
admin
3.2k
points
asked
Feb 16, 2024
Control Systems
gatein-2024
control-systems
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2024 | Question: 35
The transfer function of a system is$$G(s)=\frac{\omega_{n}^{2}}{s^{2}+2 \xi \omega_{n} s+\omega_{n}^{2}}$$Choose the range of $\xi$ and $\omega_{n}$ (in $\mathrm{rad} ...
admin
3.2k
points
asked
Feb 16, 2024
Control Systems
gatein-2024
control-systems
+
–
0
0 votes
0
0 answers
GATE IN 2024 | Question: 36
Let $C$ be the closed curve in the $x y$-plane, traversed in the counterclockwise direction along the boundary of the rectangle with vertices at $(0,0),(2,0),(2,1),(0,1...
admin
3.2k
points
asked
Feb 16, 2024
Analysis of complex variables
gatein-2024
calculus
line-integral
+
–
0
0 votes
0
0 answers
GATE IN 2024 | Question: 37
In the figure shown, assume$\alpha$ is the phase angle between the load current and the load voltage$\beta$ is the phase angle by which pressure coil current lags the ...
admin
3.2k
points
asked
Feb 16, 2024
Measurements
gatein-2024
measurements
electrical-circuits-and-machines
+
–
0
0 votes
0
0 answers
GATE IN 2024 | Question: 38
Consider an ultrasonic measurement system shown in the figure. The ultrasonic transmitter $(T)$ sends a continuous wave signal $x(t)=\cos \left(2 \pi f_{1} t\right)$ vol...
admin
3.2k
points
asked
Feb 16, 2024
Sensors and Industrial Instrumentation
gatein-2024
communication-and-optical-instrumentation
signals-and-systems
+
–
0
0 votes
0
0 answers
GATE IN 2024 | Question: 39
The complex functions $f(z)=u(x, y)+i ~v(x, y)$ and $\overline{f(z)}=u(x, y)-i~ v(x, y)$ are both analytic in a given domain. Choose the correct option(s) from the foll...
admin
3.2k
points
asked
Feb 16, 2024
Analysis of complex variables
gatein-2024
analysis-of-complex-variables
complex-function
+
–
0
0 votes
0
0 answers
GATE IN 2024 | Question: 40
The readings recorded from a $20$ -psig pressure gauge are given in the Table. The regression line obtained for the data is $y=0.04~ x+10.32$. The regression coefficient ...
admin
3.2k
points
asked
Feb 16, 2024
Probability and Statistics
gatein-2024
numerical-answers
measurements
probability-and-statistics
+
–
0
0 votes
0
0 answers
GATE IN 2024 | Question: 41
In the figure shown, $\mathrm{R}=4.5 \mathrm{~k} \Omega, \Delta \mathrm{R}=1.5 \mathrm{~k} \Omega$, and $\mathrm{INA}$ is assumed to be ideal. The equivalent resistance b...
admin
3.2k
points
asked
Feb 16, 2024
Electrical Circuits and Machines
gatein-2024
numerical-answers
electrical-circuits-and-machines
+
–
0
0 votes
0
0 answers
GATE IN 2024 | Question: 42
Consider the capacitive sensor circuit and its output voltage shown in the figure. The circuit is switched $\mathrm{ON}$ at $\mathrm{t}=0$. Assuming the opamp to be ideal...
admin
3.2k
points
asked
Feb 16, 2024
Sensors and Industrial Instrumentation
gatein-2024
numerical-answers
analog-electronics
sensors-and-industrial-instrumentation
+
–
0
0 votes
0
0 answers
GATE IN 2024 | Question: 43
The $4$-point DFTs of two sequences $x[n]$ and $y[n]$ are $X[k]=[1,-j, 1, j]$ and $Y[k]=[1,3 j, 1,-3 j]$, respectively. Assuming $z[n]$ represents the $4$ -point circular...
admin
3.2k
points
asked
Feb 16, 2024
Digital Electronics
gatein-2024
numerical-answers
signals-and-systems
+
–
0
0 votes
0
0 answers
GATE IN 2024 | Question: 44
Consider the figure shown. For zero deflection in the galvanometer, the required value of resistor $R_{x}$ is $\_\_\_\_\_ ~\Omega$ (rounded off to nearest integer).
admin
3.2k
points
asked
Feb 16, 2024
Measurements
gatein-2024
numerical-answers
analog-electronics
+
–
0
0 votes
0
0 answers
GATE IN 2024 | Question: 45
Consider a unity negative feedback system with its open-loop pole-zero map as shown in the figure. If the point $s=j \alpha, \alpha>0$, lies on the root locus, the value ...
admin
3.2k
points
asked
Feb 16, 2024
Control Systems
gatein-2024
numerical-answers
control-systems
+
–
0
0 votes
0
0 answers
GATE IN 2024 | Question: 46
A shielded cable with $\mathrm{C}_{\text {stray }}=20 \mathrm{~pF}$ and $\mathrm{R}_{\text {wire }}=10 ~\Omega$ is used to connect the inductive sensors as shown in the f...
admin
3.2k
points
asked
Feb 16, 2024
Sensors and Industrial Instrumentation
gatein-2024
numerical-answers
analog-electronics
sensors-and-industrial-instrumentation
+
–
1
1 vote
0
0 answers
GATE IN 2024 | Question: 47
In the figure shown, the diode current is given by $I_{D}=I_{S} e^{\frac{\alpha V_{D}}{T}} \cdot V_{D}$ is the diode voltage in volts, $T$ is the absolute temperature in ...
admin
3.2k
points
asked
Feb 16, 2024
Analog Electronics
gatein-2024
numerical-answers
analog-electronics
+
–
0
0 votes
0
0 answers
GATE IN 2024 | Question: 48
An ADC has a full scale voltage of $1.4 \mathrm{~V}$, resolution of $200 ~\mathrm{mV}$, and produces binary output data. The input signal of the ADC has a bandwidth of $5...
admin
3.2k
points
asked
Feb 16, 2024
Digital Electronics
gatein-2024
numerical-answers
analog-electronics
+
–
0
0 votes
0
0 answers
GATE IN 2024 | Question: 49
In the circuit shown, assume the opamp is ideal and the initial charge on the capacitor is zero. The output voltage at time $t=2 \mathrm{~ms}$ is $\_\_\_\_\_~\mathrm{V}$ ...
admin
3.2k
points
asked
Feb 16, 2024
Analog Electronics
gatein-2024
numerical-answers
analog-electronics
+
–
0
0 votes
0
0 answers
GATE IN 2024 | Question: 50
In the figure shown, $\mathrm{Sw}$ is a switch whose position changes from 1 to 0 when $\mathrm{Vc}$ changes from logic HIGH to LOW and vice versa. The bandwidth of the p...
admin
3.2k
points
asked
Feb 16, 2024
Measurements
gatein-2024
numerical-answers
measurements
analog-electronics
+
–
0
0 votes
0
0 answers
GATE IN 2024 | Question: 51
A $50 \mathrm{~kVA}$ transformer has an efficiency of $95 \%$ at full load and unity power factor. Assume the core losses are negligible. The efficiency of the transforme...
admin
3.2k
points
asked
Feb 16, 2024
Electrical Circuits and Machines
gatein-2024
numerical-answers
electrical-circuits-and-machines
+
–
0
0 votes
0
0 answers
GATE IN 2024 | Question: 52
A three-phase squirrel-cage induction motor has a starting torque of $100 \%$ of the full load torque and a maximum torque of $300 \%$ of the full load torque. Neglecting...
admin
3.2k
points
asked
Feb 16, 2024
Electrical Circuits and Machines
gatein-2024
numerical-answers
electrical-circuits-and-machines
+
–
0
0 votes
0
0 answers
GATE IN 2024 | Question: 53
Two magnetically coupled coils, when connected in series-aiding configuration, have a total inductance of $500 \mathrm{~mH}$. When connected in series-opposing configurat...
admin
3.2k
points
asked
Feb 16, 2024
Electricity and Magnetism
gatein-2024
numerical-answers
electrical-circuits-and-machines
+
–
0
0 votes
0
0 answers
GATE IN 2024 | Question: 54
The solution of an ordinary differential equation $y^{\prime \prime \prime}+3 y^{\prime \prime}+3 y^{\prime}+y=30 e^{-t}$ is$$y(t)=\left(c_{0}+c_{1} t-c_{2} t^{2}+c_{3} t...
admin
3.2k
points
asked
Feb 16, 2024
Differential equations
gatein-2024
numerical-answers
differential-equations
+
–
0
0 votes
0
0 answers
GATE IN 2024 | Question: 55
A random variable $X$ has a probability density function$$f_{X}(x)=\begin{cases} e^{-x}, & x \geq 0 \\ 0, & \text { otherwise } \end{cases}$$The probability of $X>2$ is $...
admin
3.2k
points
asked
Feb 16, 2024
Probability and Statistics
gatein-2024
numerical-answers
probability-and-statistics
probability
probability-density-function
+
–
6
6 votes
2
2 answers
GATE IN 2023 | GA | Question: 2
Disagree : Protest: : Agree: __________(By word meaning)RefusePretextRecommendRefute
admin
3.2k
points
asked
May 22, 2023
Verbal Aptitude
gatein-2023
verbal-aptitude
word-pairs
+
–
5
5 votes
1
1 answer
GATE IN 2023 | GA | Question: 5
In the given diagram, ovals are marked at different heights $(h)$ of a hill. Which one of the following options $\mathbf{P}, \mathbf{Q}, \mathbf{R}$, and $\mathbf{S}$ dep...
admin
3.2k
points
asked
May 22, 2023
Quantitative Aptitude
gatein-2023
quantitative-aptitude
curves
+
–
9
9 votes
3
3 answers
GATE IN 2023 | GA | Question: 6
Residency is a famous housing complex with many well-established individuals among its residents. A recent survey conducted among the residents of the complex revealed th...
admin
3.2k
points
asked
May 22, 2023
Analytical Aptitude
gatein-2023
analytical-aptitude
logical-reasoning
+
–
3
3 votes
2
2 answers
GATE IN 2023 | GA | Question: 7
Ankita has to climb $5$ stairs starting at the ground, while respecting the following rules:At any stage, Ankita can move either one or two stairs up.At any stage, Ankita...
admin
3.2k
points
asked
May 22, 2023
Quantitative Aptitude
gatein-2023
quantitative-aptitude
functions
+
–
3
3 votes
3
3 answers
GATE IN 2023 | GA | Question: 8
The information contained in DNA is used to synthesize proteins that are necessary for the functioning of life. DNA is composed of four nucleotides: Adenine (A), Thymine ...
admin
3.2k
points
asked
May 22, 2023
Analytical Aptitude
gatein-2023
analytical-aptitude
logical-reasoning
+
–
17
17 votes
4
4 answers
GATE IN 2023 | GA | Question: 9
Which one of the given figures $\text{P, Q, R}$ and $\text{S}$ represents the graph of the following function?$$f(x)=|| x+2|-| x-1||$$ $\text{P}$$\text{Q}$$\text{R}$$\te...
admin
3.2k
points
asked
May 22, 2023
Quantitative Aptitude
gatein-2023
quantitative-aptitude
absolute-value
+
–
4
4 votes
1
1 answer
GATE IN 2023 | GA | Question: 10
An opaque cylinder (shown below) is suspended in the path of a parallel beam of light, such that its shadow is cast on a screen oriented perpendicular to the direction of...
admin
3.2k
points
asked
May 22, 2023
Spatial Aptitude
gatein-2023
spatial-aptitude
patterns-in-three-dimensions
+
–
0
0 votes
0
0 answers
GATE IN 2023 | Question: 1
Choose solution set $S$ corresponding to the systems of two equations$$\begin{array}{r}x-2 y+z=0 \\x-z=0\end{array}$$Note: $\mathscr{R}$ denotes the set of real numbers$S...
admin
3.2k
points
asked
May 22, 2023
Linear Algebra
gatein-2023
linear-algebra
system-of-equations
+
–
0
0 votes
0
0 answers
GATE IN 2023 | Question: 2
Inductance of a coil is measured as $10 ~ \mathrm{mH}$, using an LCR meter, when no other objects are present near the coil. The LCR meter uses a sinusoidal excitation at...
admin
3.2k
points
asked
May 22, 2023
Electrical Circuits and Machines
gatein-2023
electrical-circuits-and-machines
measurements
+
–
0
0 votes
0
0 answers
GATE IN 2023 | Question: 3
Which of the following flow meters offers the lowest resistance to the flow? Turbine flow meter Orifice flow meter* Venturi meter Electromagnetic flow meter
admin
3.2k
points
asked
May 22, 2023
Sensors and Industrial Instrumentation
gatein-2023
communication-and-optical-instrumentation
sensors-and-industrial-instrumentation
+
–
0
0 votes
0
0 answers
GATE IN 2023 | Question: 4
Pair the quantities $\text{(p)}$ to $\text{(s)}$ with the measuring devices $\text{(i)}$ to $\text{(iv)}$.$\begin{array}{|l|l|}\hline \text{(i) Linear Variable Differenti...
admin
3.2k
points
asked
May 22, 2023
Sensors and Industrial Instrumentation
gatein-2023
measurements
analytical-aptitude
+
–
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