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Recent questions tagged gatein-2023
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GATE IN 2023 | GA Question: 1
The village was nestled in a green spot, __________ the ocean and the hills. through in at between
The village was nestled in a green spot, __________ the ocean and the hills.throughin atbetween
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2.7k
points
admin
asked
May 22, 2023
Verbal Aptitude
gatein-2023
verbal-aptitude
english-grammar
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2
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GATE IN 2023 | GA Question: 2
Disagree : Protest: : Agree: __________ (By word meaning) Refuse Pretext Recommend Refute
Disagree : Protest: : Agree: __________(By word meaning)RefusePretextRecommendRefute
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2.7k
points
admin
asked
May 22, 2023
Verbal Aptitude
gatein-2023
verbal-aptitude
word-pairs
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2
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answer
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GATE IN 2023 | GA Question: 3
A 'frabjous' number is defined as a $3$ digit number with all digits odd, and no two adjacent digits being the same. For example, $137$ is a frabjous number, while $133$ is not. How many such frabjous numbers exist? $125$ $720$ $60$ $80$
A 'frabjous' number is defined as a $3$ digit number with all digits odd, and no two adjacent digits being the same. For example, $137$ is a frabjous number, while $133$ ...
admin
2.7k
points
admin
asked
May 22, 2023
Quantitative Aptitude
gatein-2023
quantitative-aptitude
number-theory
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2
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GATE IN 2023 | GA Question: 4
Which one among the following statements must be $\text{TRUE}$ about the mean and the median of the scores of all candidates appearing for $\text{GATE }2023?$ The median is at least as large as the mean. The mean is at least as large as the median. At most half the candidates have a score that is larger than the median At most half the candidates have a score that is larger than the mean.
Which one among the following statements must be $\text{TRUE}$ about the mean and the median of the scores of all candidates appearing for $\text{GATE }2023?$The median i...
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2.7k
points
admin
asked
May 22, 2023
Quantitative Aptitude
gatein-2023
quantitative-aptitude
statistics
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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 $\mathbf{S}$ depicts the top view of the hill? $\mathbf{P}$ $\mathbf{Q}$ $\mathbf{R}$ $\mathbf{S}$
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...
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2.7k
points
admin
asked
May 22, 2023
Quantitative Aptitude
gatein-2023
quantitative-aptitude
curves
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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 that all of those residents who are well established in their respective fields happen to be academicians. The survey also revealed that most of ... are residents of the complex who are well established in their fields. Some academicians residing in the complex are well established in their fields.
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...
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2.7k
points
admin
asked
May 22, 2023
Analytical Aptitude
gatein-2023
analytical-aptitude
logical-reasoning
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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 cannot move to a lower step. Let $F(N)$ denote the number of possible ways in which Ankita can reach the $N^{\text {th}}$ stair. For example, $F(1)=1, F(2)=2, F(3)=3$. The value of $F(5)$ is__________. $8$ $7$ $6$ $5$
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...
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2.7k
points
admin
asked
May 22, 2023
Quantitative Aptitude
gatein-2023
quantitative-aptitude
functions
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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 (T), Cytosine (C), and Guanine (G). The information contained in DNA can then be thought of as a sequence of these four nucleotides: A, T, C, and G. DNA has coding ... of proteins. The function of about $98 \%$ of human DNA is not understood. only (i) only (ii) both (i) and (ii) neither (i) nor (ii)
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 ...
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2.7k
points
admin
asked
May 22, 2023
Analytical Aptitude
gatein-2023
analytical-aptitude
logical-reasoning
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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? $f(x)=|| x+2|-| x-1||$ $\text{P}$ $\text{Q}$ $\text{R}$ $\text{S}$
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}$$\te...
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2.7k
points
admin
asked
May 22, 2023
Quantitative Aptitude
gatein-2023
quantitative-aptitude
absolute-value
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GATE IN 2023 | GA Question: 10
An opaque cylinder (shown below) is suspended in the path of a parallel beam of light, such that its shadow is cast on a screen oriented perpendicular to the direction of...
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2.7k
points
admin
asked
May 22, 2023
Spatial Aptitude
gatein-2023
spatial-aptitude
figure-in-three-dimension
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GATE IN 2023 | Question: 1
Choose solution set $S$ corresponding to the systems of two equations $\begin{array}{r} x-2 y+z=0 \\ x-z=0 \end{array}$ Note: $\mathscr{R}$ denotes the set of real numbers $S=\left\{\alpha\left(\begin{array}{l}1 \\ 1 \\ 1\end{array}\right) \mid \alpha \in \mathscr{R}\right\}$ ... $S=\left\{\alpha\left(\begin{array}{l}1 \\ 0 \\ 1\end{array}\right) \mid \alpha \in \mathscr{R}\right\}$
Choose solution set $S$ corresponding to the systems of two equations$$\begin{array}{r}x-2 y+z=0 \\x-z=0\end{array}$$Note: $\mathscr{R}$ denotes the set of real numbers$S...
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2.7k
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May 22, 2023
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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 $10 ~ \mathrm{kHz}$. If a pure copper sheet is brought near the coil, the same LCR meter will read ________. less than $10 ~ \mathrm{mH}$ $10~ \mathrm{mH}$ more than $10 ~\mathrm{mH}$ less than $10~ \mathrm{mH}$ initially and then stabilizes to more than $10~ \mathrm{mH}$
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...
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admin
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May 22, 2023
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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
Which of the following flow meters offers the lowest resistance to the flow? Turbine flow meter Orifice flow meter* Venturi meter Electromagnetic flow meter
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May 22, 2023
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GATE IN 2023 | Question: 4
Pair the quantities $\text{(p)}$ to $\text{(s)}$ with the measuring devices $\text{(i)}$ to $\text{(iv)}$ ... $\text{(i) - (q), (ii) - (s), (iii) - (p), (iv) - (r)}$
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...
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May 22, 2023
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GATE IN 2023 | Question: 5
Capacitance ' $\text{C}$ ' of a parallel plate structure is calculated as $20 ~ \mathrm{pF}$ using $C=\frac{\varepsilon_0 \varepsilon_r A}{d}$, where $\varepsilon_o$ is the permittivity of free space, $\varepsilon_r$ is the relative permittivity of the dielectric, $A$ is the overlapping area of the electrodes and $d$ is the ... the following readings is likely to be correct? $20.5 ~ \mathrm{pF}$ $20 ~ \mathrm{pF}$ $19.5~ \mathrm{pF}$ $10 ~ \mathrm{pF}$
Capacitance ' $\text{C}$ ' of a parallel plate structure is calculated as $20 ~ \mathrm{pF}$ using $C=\frac{\varepsilon_0 \varepsilon_r A}{d}$, where $\varepsilon_o$ is t...
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2.7k
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May 22, 2023
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GATE IN 2023 | Question: 6
The table shows the present state $\mathrm{Q}(\mathrm{t})$, next state $\mathrm{Q}(\mathrm{t}+1)$ ... $\text{T}$ flip-flop $\text{D}$ flip-flop $\text{SR}$ flip-flop $\text{JK}$ flip-flop
The table shows the present state $\mathrm{Q}(\mathrm{t})$, next state $\mathrm{Q}(\mathrm{t}+1)$, and the control input in a flip-flop. Identify the flip-flop.$$\begin{a...
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2.7k
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May 22, 2023
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GATE IN 2023 | Question: 7
Match the Exclusive-$\text{OR (XOR)}$ operations $\text{(i)}$ to $\text{(iv)}$ with the results $\text{(p)}$ to $\text{(s),}$ where $X$ ... $\text{(i) - (p), (ii) - (s), (iii) - (q), (iv) - (r)}$ $\text{(i) - (q), (ii) - (p), (iii) - (s), (iv) - (r)}$
Match the Exclusive-$\text{OR (XOR)}$ operations $\text{(i)}$ to $\text{(iv)}$ with the results $\text{(p)}$ to $\text{(s),}$ where $X$ is a Boolean input.$$\begin{array}...
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2.7k
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May 22, 2023
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GATE IN 2023 | Question: 8
A light emitting diode $\text{(LED)}$ emits light when it is _________ biased. A photodiode provides maximum sensitivity to light when it is _____________ biased. forward, forward forward, reverse reverse, reverse reverse, forward
A light emitting diode $\text{(LED)}$ emits light when it is _________ biased. A photodiode provides maximum sensitivity to light when it is _____________ biased.forward...
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2.7k
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May 22, 2023
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GATE IN 2023 | Question: 9
$F(z)=\frac{1}{1-z}$, when expanded as a power series around $z=2$, would result in $F(z)=\sum_{k=0}^{\infty} a_k(z-2)^k$, with the region of convergence $\text{(ROC) } |z-2|<1$. The coefficients $a_k, k \geq 0$, are given by the expression _____________. $(-1)^k$ $(-1)^{k+1}$ $\left(\frac{1}{2}\right)^k$ $\left(\frac{-1}{2}\right)^{k+1}$
$F(z)=\frac{1}{1-z}$, when expanded as a power series around $z=2$, would result in $F(z)=\sum_{k=0}^{\infty} a_k(z-2)^k$, with the region of convergence $\text{(ROC) } |...
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2.7k
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May 22, 2023
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GATE IN 2023 | Question: 10
The solution $x(t), t \geq 0$, to the differential equation $\ddot{x}=-k \dot{x}, k>0$ with initial conditions $x(0)=1$ and $\dot{x}(0)=0$ is $x(t)=2 e^{-k t}+2 k t-1$ $x(t)=2 e^{-k t}-1$ $x(t)=1$ $x(t)=2 e^{-k t}-k t-1$
The solution $x(t), t \geq 0$, to the differential equation $\ddot{x}=-k \dot{x}, k>0$ with initial conditions $x(0)=1$ and $\dot{x}(0)=0$ is$x(t)=2 e^{-k t}+2 k t-1$$x(t...
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2.7k
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admin
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May 22, 2023
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GATE IN 2023 | Question: 11
A system has the transfer-function $\frac{Y(s)}{X(s)}=\frac{s-\pi}{s+\pi}$ Let $u(t)$ be the unit-step function. The input $x(t)$ that results in a steady-state output $y(t)=\sin \pi t$ is ____________. $x(t)=\sin (\pi t) u(t)$ $x(t)=\sin \left(\pi t+\frac{\pi}{2}\right) u(t)$ $x(t)=\sin \left(\pi t-\frac{\pi}{2}\right) u(t)$ $x(t)=\cos \left(\pi t+\frac{\pi}{4}\right) u(t)$
A system has the transfer-function$\frac{Y(s)}{X(s)}=\frac{s-\pi}{s+\pi}$Let $u(t)$ be the unit-step function. The input $x(t)$ that results in a steady-state output $y(t...
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2.7k
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admin
asked
May 22, 2023
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GATE IN 2023 | Question: 12
Choose the fastest logic family among the following: Transistor-Transistor Logic Emitter-Coupled Logic CMOS Logic Resistor-Transistor Logic
Choose the fastest logic family among the following: Transistor-Transistor Logic Emitter-Coupled Logic CMOS LogicResistor-Transistor Logic
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2.7k
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admin
asked
May 22, 2023
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GATE IN 2023 | Question: 13
What is $\lim _{x \rightarrow 0} f(x)$, where $f(x)=x \sin \frac{1}{x} ?$ $0$ $1$ $\infty$ Limit does not exist
What is $\lim _{x \rightarrow 0} f(x)$, where $f(x)=x \sin \frac{1}{x} ?$$0$$1$$\infty$Limit does not exist
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2.7k
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May 22, 2023
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GATE IN 2023 | Question: 14
The number of zeros of the polynomial $P(s)=s^{3}+2 s^{2}+5 s+80$ in the right- half plane is_________.
The number of zeros of the polynomial $P(s)=s^{3}+2 s^{2}+5 s+80$ in the right- half plane is_________.
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2.7k
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May 22, 2023
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GATE IN 2023 | Question: 15
The number of times the Nyquist plot of $G(s) H(s)=\frac{1}{2} \frac{(s-1)(s-2)}{(s+1)(s+2)}$ encircles the origin is_______________.
The number of times the Nyquist plot of $G(s) H(s)=\frac{1}{2} \frac{(s-1)(s-2)}{(s+1)(s+2)}$ encircles the origin is_______________.
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May 22, 2023
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GATE IN 2023 | Question: 16
The opamp in the circuit shown is ideal, except that it has an input bias current of $1 ~ \mathrm{nA}$ and an input offset voltage of $10 ~ \mu \mathrm{V}$. The resulting worst-case output voltage will be $\pm$______________$\mu \mathrm{V}$ (rounded off to the nearest integer).
The opamp in the circuit shown is ideal, except that it has an input bias current of $1 ~ \mathrm{nA}$ and an input offset voltage of $10 ~ \mu \mathrm{V}$. The resulting...
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May 22, 2023
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GATE IN 2023 | Question: 17
The force per unit length between two infinitely long parallel conductors, with a gap of $2 \mathrm{~cm} $ between them is $10~ \mu \mathrm{N} / \mathrm{m}.$ When the gap is doubled, the force per unit length will be____________$\mu \mathrm{N} / \mathrm{m}$ (rounded off to one decimal place).
The force per unit length between two infinitely long parallel conductors, with a gap of $2 \mathrm{~cm} $ between them is $10~ \mu \mathrm{N} / \mathrm{m}.$ When the gap...
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May 22, 2023
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GATE IN 2023 | Question: 18
Consider the discrete-time signal $x[n]=u[-n+5]-u[n+3],$ where $u[n]=\left\{\begin{array}{l}1 ; n \geq 0 \\ 0 ; n<0\end{array}\right . $ The smallest $n$ for which $x[n]=0$ is___________.
Consider the discrete-time signal $x[n]=u[-n+5]-u[n+3],$ where $u[n]=\left\{\begin{array}{l}1 ; n \geq 0 \\ 0 ; n<0\end{array}\right . $ The smallest $n$ for which $x[n]=...
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2.7k
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May 22, 2023
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GATE IN 2023 | Question: 19
Let $y(t)=x(4 t),$ where $x(t)$ is a continuous-time periodic signal with fundamental period of $100 \mathrm{~s}.$ The fundamental period of $ y(t)$ is___________$s$ (rounded off to the nearest integer).
Let $y(t)=x(4 t),$ where $x(t)$ is a continuous-time periodic signal with fundamental period of $100 \mathrm{~s}.$ The fundamental period of $ y(t)$ is___________$s$ (rou...
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May 22, 2023
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GATE IN 2023 | Question: 20
When the bridge given below is balanced, the current through the resistor $\mathrm{R}_{\mathrm{a}}$ is____________ $\mathrm{mA}$ (rounded off to two decimal places).
When the bridge given below is balanced, the current through the resistor $\mathrm{R}_{\mathrm{a}}$ is____________ $\mathrm{mA}$ (rounded off to two decimal places).
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May 22, 2023
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GATE IN 2023 | Question: 21
In the circuit given, the Thevenin equivalent resistance $\mathrm{R}_{\mathrm{th}}$ across the terminals '$\mathrm{a}$' and ' $\mathrm{b}$' is____________$\Omega$ (rounded off to one decimal place).
In the circuit given, the Thevenin equivalent resistance $\mathrm{R}_{\mathrm{th}}$ across the terminals '$\mathrm{a}$' and ' $\mathrm{b}$' is____________$\Omega$ (rounde...
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May 22, 2023
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GATE IN 2023 | Question: 22
$X$ is a discrete random variable which takes values $0,1$ and $2.$ The probabilities are $P(X=0)=0.25$ and $P(X=1)=0.5$. With $E[ .]$ denoting the expectation operator, the value of $E[X]-E\left[X^{2}\right]$ is_____________(rounded off to one decimal place).
$X$ is a discrete random variable which takes values $0,1$ and $2.$ The probabilities are $P(X=0)=0.25$ and $P(X=1)=0.5$. With $E[ .]$ denoting the expectation operator, ...
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2.7k
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May 22, 2023
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GATE IN 2023 | Question: 23
The diode in the circuit is ideal. The current source $\mathrm{i}_{\mathrm{s}}(t)=\pi \sin (3000 \pi \mathrm{t}) \mathrm{~mA}.$ The magnitude of the average current flowing through the resistor $\mathrm{R}$ is______________$\mathrm{mA}$ (rounded off to two decimal places).
The diode in the circuit is ideal. The current source $\mathrm{i}_{\mathrm{s}}(t)=\pi \sin (3000 \pi \mathrm{t}) \mathrm{~mA}.$ The magnitude of the average current flowi...
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May 22, 2023
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GATE IN 2023 | Question: 24
The full-scale range of the wattmeter shown in the circuit is $100 \mathrm{~W}$. The turns ratio of the individual transformers are indicated in the figure. The RMS value of the ac source voltage $\mathrm{V}_{\mathrm{s}}$ is $200 \mathrm{~V}$. The wattmeter reading will be____________$\mathrm{W}$ (rounded off to the nearest integer).
The full-scale range of the wattmeter shown in the circuit is $100 \mathrm{~W}$. The turns ratio of the individual transformers are indicated in the figure. The RMS value...
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May 22, 2023
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GATE IN 2023 | Question: 25
The no-load steady-state output voltage of a $\text{DC}$ shunt generator is $200 \mathrm{~V}$ when it is driven in the clockwise direction at its rated speed. If the same machine is driven at the rated speed but in the opposite direction, the steady-state output voltage will be________________$\text{V}$ (rounded off to the nearest integer).
The no-load steady-state output voltage of a $\text{DC}$ shunt generator is $200 \mathrm{~V}$ when it is driven in the clockwise direction at its rated speed. If the same...
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May 22, 2023
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GATE IN 2023 | Question: 26
The impulse response of an LTI system is $h(t)=\delta(t)+0.5 \delta(t-4)$, where $\delta(t)$ is the continuous-time unit impulse signal. If the input signal $x(t)=\cos \left(\frac{7 \pi}{4} t\right)$, the output is______________. $0.5 \cos \left(\frac{7 \pi}{4} t\right)$ $1.5 \cos \left(\frac{7 \pi}{4} t\right)$ $0.5 \sin \left(\frac{7 \pi}{4} t\right)$ $1.5 \sin \left(\frac{7 \pi}{4} t\right)$
The impulse response of an LTI system is $h(t)=\delta(t)+0.5 \delta(t-4)$, where $\delta(t)$ is the continuous-time unit impulse signal. If the input signal $x(t)=\cos \l...
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May 22, 2023
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GATE IN 2023 | Question: 27
The Laplace transform of the continuous-time signal $x(t)=e^{-3 t} u(t-5)$ is_____________, where $u(t)$ denotes the continuous-time unit step signal. $\frac{e^{-5 s}}{s+3}, \operatorname{Real}\{s\}>-3$ $\frac{e^{-5(s-3)}}{s-3}, \operatorname{Real}\{s\}>3$ $\frac{e^{-5(s+3)}}{s+3}, \operatorname{Real}\{s\}>-3$ $\frac{e^{-5(s-3)}}{s+3}, \operatorname{Real}\{s\}>-3$
The Laplace transform of the continuous-time signal $x(t)=e^{-3 t} u(t-5)$ is_____________, where $u(t)$ denotes the continuous-time unit step signal.$\frac{e^{-5 s}}{s+3...
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May 22, 2023
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GATE IN 2023 | Question: 28
In a $p-i-n$ photodiode, a pulse of light containing $8 \times 10^{12}$ incident photons at wavelength $\lambda_0=1.55~ \mu \mathrm{m}$ gives rise to an average $4 \times 10^{12}$ electrons collected at the terminals of the device. The quantum efficiency of the photodiode at this wavelength is___________$\%$. $50$ $54.2$ $62.5$ $80$
In a $p-i-n$ photodiode, a pulse of light containing $8 \times 10^{12}$ incident photons at wavelength $\lambda_0=1.55~ \mu \mathrm{m}$ gives rise to an average $4 \times...
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May 22, 2023
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GATE IN 2023 | Question: 29
Let $f(z)=j \frac{1-z}{1+z}$, where $z$ denotes a complex number and $j$ denotes $\sqrt{-1}$. The inverse function $f^{-1}(z)$ maps the real axis to the___________. unit circle with centre at the origin unit circle with centre not at the origin imaginary axis real axis
Let $f(z)=j \frac{1-z}{1+z}$, where $z$ denotes a complex number and $j$ denotes $\sqrt{-1}$. The inverse function $f^{-1}(z)$ maps the real axis to the___________.unit c...
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May 22, 2023
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GATE IN 2023 | Question: 30
The simplified form of the Boolean function $\mathrm{F}(W, X, Y, Z)=\Sigma(4,5,10,11,12,13$, $14,15)$ with the minimum number of terms and smallest number of literals in each term is $W X+\bar{W} X \bar{Y}+W \bar{X} Y$ $W X+W Y+X \bar{Y}$ $X \bar{Y}+W Y$ $\bar{X} Y+\bar{W} \bar{Y}$
The simplified form of the Boolean function $\mathrm{F}(W, X, Y, Z)=\Sigma(4,5,10,11,12,13$, $14,15)$ with the minimum number of terms and smallest number of literals in ...
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