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Questions by Shubham Sharma 2
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GATE IN 2025 | GA | Question: 1
Despite his initial hesitation, Rehman's $\_\_\_\_\_\_\_\_\_\_\_$ to contribute to the success of the project never wavered.Select the most appropriate option to complete...
asked
Mar 6, 2025
Verbal Aptitude
gatein-2025
verbal-aptitude
most-appropriate-word
+
–
1
1 vote
1
answers
1 answer
GATE IN 2025 | GA | Question: 2
Bird : Nest :: Bee : __________.Select the correct option to complete the analogy.KennelHammockHiveLair
asked
Mar 6, 2025
Analytical Aptitude
gatein-2025
analytical-aptitude
verbal-aptitude
+
–
0
0 votes
0
0 answers
GATE IN 2025 | GA | Question: 3
If $P e^{x}=Q e^{-x}$ for all real values of $x$, which one of the following statements is true?$P=Q=0$$P=Q=1$$P=1 ; Q=-1$$\frac{P}{Q}=0$
asked
Mar 6, 2025
Calculus
gatein-2025
analytical-aptitude
calculus
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–
0
0 votes
0
0 answers
GATE IN 2025 | GA | Question: 4
The paper as shown in the figure is folded to make a cube where each square corresponds to a particular face of the cube. Which one of the following options correctly rep...
asked
Mar 6, 2025
Spatial Aptitude
gatein-2025
spatial-aptitude
analytical-aptitude
+
–
2
2 votes
3
3 answers
GATE IN 2025 | GA | Question: 5
Let $p_{1}$ and $p_{2}$ denote two arbitrary prime numbers. Which one of the following statements is correct for all values of $p_{1}$ and $p_{2}$ ?$p_{1}+p_{2}$ is not a...
asked
Mar 6, 2025
Analytical Aptitude
gatein-2025
analytical-aptitude
number-theory
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–
0
0 votes
0
0 answers
GATE IN 2025 | GA | Question: 6
Based only on the conversation below, identify the logically correct inference:"Even if I had known that you were in the hospital, I would not have gone there to see you"...
asked
Mar 6, 2025
Verbal Aptitude
gatein-2025
verbal-aptitude
verbal-inference
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–
1
1 vote
0
0 answers
GATE IN 2025 | GA | Question: 7
If IMAGE and FIELD are coded as FHBNJ and EMFJG respectively then, which one among the given options is the most appropriate code for BEACH?CEADPIDBFCJGIBCIBCEC
asked
Mar 6, 2025
Analytical Aptitude
gatein-2025
analytical-aptitude
verbal-aptitude
+
–
0
0 votes
0
0 answers
GATE IN 2025 | GA | Question: 8
Which one of the following options is correct for the given data in the table?$\begin{array}{|c|c|c|c|c|}\hline\text{Iteration (i)} & 0 & 1 & 2 & 3 \\ \hline\text{Input (...
asked
Mar 6, 2025
Numerical Methods
gatein-2025
analytical-aptitude
numerical-answers
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–
0
0 votes
0
0 answers
GATE IN 2025 | GA | Question: 9
In the given figure, $PQRS$ is a square of side $2 \: \mathrm{cm}$ and $PLMN$ is a rectangle. The corner $L$ of the rectangle is on the side $QR$. Side $MN$ of the rectan...
asked
Mar 6, 2025
Quantitative Aptitude
gatein-2025
quantitative-aptitude
geometry
numerical-answers
+
–
1
1 vote
0
0 answers
GATE IN 2025 | GA | Question: 10
The diagram below shows a river system consisting of $7$ segments, marked $\mathrm{P}, \mathrm{Q}, \mathrm{R}, \mathrm{S}, \mathrm{T}, \mathrm{U}$, and $\mathrm{V}$. It s...
asked
Mar 6, 2025
Analytical Aptitude
gatein-2025
analytical-aptitude
+
–
4
4 votes
2
2 answers
GATE IN 2025 | Question: 1
A $2 n \times 2 n$ matrix $A=\left[a_{i j}\right]$ has its elements as$$ a_{i j}=\begin{cases} \beta & \text { if }(i+j) \text { is odd } \\ -\beta & \text { if }(i+j) \t...
asked
Mar 6, 2025
Linear Algebra
gatein-2025
linear-algebra
rank-of-matrix
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–
0
0 votes
1
1 answer
GATE IN 2025 | Question: 2
The solution of the differential equation $\frac{\mathrm{d} y}{\mathrm{~d} x}=9 \frac{x}{y}$ representsa hyperbolaa parabolaan ellipsea circle
asked
Mar 6, 2025
Differential equations
gatein-2025
differential-equations
analytical-aptitude
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 3
The working of the hand-held metal detector most widely used by security personnel for human frisking is based on the principle ofchange in reluctance of an iron core in ...
asked
Mar 6, 2025
Sensors and Industrial Instrumentation
gatein-2025
sensors-and-industrial-instrumentation
electrical-circuits-and-machines
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–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 4
The primary coil of a linear variable differential transformer (LVDT) is supplied with AC voltage as shown in the figure. The secondary coils are connected in series oppo...
asked
Mar 6, 2025
Sensors and Industrial Instrumentation
gatein-2025
sensors-and-industrial-instrumentation
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 5
In the force transducer shown in Figure (a), four identical strain gauges $S1, S2, S3$, and $S4$ are mounted on a cantilever at equal distance from its base. $S1$ and $S2...
asked
Mar 6, 2025
Sensors and Industrial Instrumentation
gatein-2025
measurements
sensors-and-industrial-instrumentation
analog-electronics
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–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 6
Let a continuous-time signal be $x(t)=e^{j 9 t}+e^{j 5 t}$, where $j=\sqrt{-1}$ and $t$ is in seconds. The fundamental period of magnitude of $x(t)$, in seconds, is$\pi$$...
asked
Mar 6, 2025
Signals and Systems
gatein-2025
signals-and-systems
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 7
The minimized expression of the Boolean function $\mathrm{Y}(\mathrm{P}, \mathrm{Q}, \mathrm{R})$ implemented by the multiplexer (MUX) circuit shown in the figure is$\mat...
asked
Mar 6, 2025
Digital Electronics
gatein-2025
digital-electronics
boolean-algebra
combinational-circuits
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–
1
1 vote
0
0 answers
GATE IN 2025 | Question: 8
The $4$-bit signed $2$'s complement form of $(5)_{10}+(5)_{10}$ is$(-6)_{10}$$(-7)_{10}$$(-5)_{10}$$(-8)_{10}$
asked
Mar 6, 2025
Digital Electronics
gatein-2025
digital-electronics
number-system
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 9
An infinite sheet of uniform charge $\rho_{s}=10 \mathrm{C} / \mathrm{m}^{2}$ is placed on $z=0$ plane. The medium surrounding the sheet has a relative permittivity of $1...
asked
Mar 6, 2025
Electricity and Magnetism
gatein-2025
electricity-and-magnetism
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 10
For the ideal opamp based circuit shown in the figure, the ratio $\frac{V}{I}$ is$\left(\frac{R_{3}+R_{4}}{R_{1}+R_{3}}\right) R_{1}$$\left(\frac{R_{2}+R_{4}}{R_{1}+R_{3}...
asked
Mar 6, 2025
Analog Electronics
gatein-2025
analog-electronics
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 11
In a single-phase AC circuit, the power consumed by load resistance $R_{\mathrm{L}}$ for an excitation $V_{\mathrm{S}}$ is measured using a wattmeter. The same wattmeter ...
asked
Mar 6, 2025
Measurements
gatein-2025
electrical-circuits-and-machines
measurements
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–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 12
Match the following sensors with their most suitable applications.$$\begin{array}{|l|l|l|l|} \hline & \textbf{Sensor} & & \textbf{Application} \\ \hline \text{P} & \text{...
asked
Mar 6, 2025
Sensors and Industrial Instrumentation
gatein-2025
sensors-and-industrial-instrumentation
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 13
A $3\frac{1}{ 2}$ digit digital voltmeter has a specified accuracy of $\pm(0.5 \%+1)$. If it is used to measure $10 \:\mathrm{V}$ DC voltage, the error in the measurement...
asked
Mar 6, 2025
Measurements
gatein-2025
measurements
digital-electronics
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 14
The circuit shown in Figure (a) can be represented using its equivalent T-model as shown in Figure (b). The values of the inductances $L_{1}, L_{2}$, and $L_{3}$ in the e...
asked
Mar 6, 2025
Electrical Circuits and Machines
gatein-2025
electrical-circuits-and-machines
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 15
Three parallel admittances $Y_{a}=-j 0.2 \mathrm{~S}, Y_{b}=0.3 \mathrm{~S}$, and $\quad Y_{c}=j 0.4 \mathrm{~S}$ connected in parallel with a voltage source $V_{s}=10 \a...
asked
Mar 6, 2025
Electrical Circuits and Machines
gatein-2025
electrical-circuits-and-machines
complex-number
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 16
An oscilloscope has an input resistance of $1 \mathrm{M} \Omega$. A $10$ X passive attenuating probe is connected to it to increase the input voltage range as well as the...
asked
Mar 6, 2025
Measurements
gatein-2025
analog-electronics
measurements
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 17
For the transfer function $G(s)=1+\frac{2 s-1}{s^{3}+5 s^{2}+3 s+22}$, the number of zeros lying in the left half of the $s$-plane is$0$$1$$2$$3$
asked
Mar 6, 2025
Control Systems
gatein-2025
control-systems
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 18
Consider the control system block diagram given in Figure (a). The loop transfer function $G(s) \: H(s)$ does not have any pole on the $j \omega$-axis. The counterclockwi...
asked
Mar 6, 2025
Control Systems
gatein-2025
control-systems
+
–
0
0 votes
1
1 answer
GATE IN 2025 | Question: 19
A Boolean function $X$ is given as $X=\bar{A} \bar{B}+\bar{A} \bar{C}$. The reduced form of $\bar{X}$ is$\bar{A}+\bar{B}+\bar{C}$$A+B C$$\bar{A}+\bar{B}+C$$B+A C$
asked
Mar 6, 2025
Digital Electronics
gatein-2025
digital-electronics
boolean-algebra
boolean-functions
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 20
A $60 \: \mathrm{V}$ DC source with an internal resistance $R_{\text{i n t}}=0.5 \: \Omega$ is connected through a switch to a pair of infinitely long rails separated by ...
asked
Mar 6, 2025
Electricity and Magnetism
gatein-2025
electricity-and-magnetism
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 21
The circuits mentioned in the following options are realized using ideal opamp. Among these, the circuit(s) performing non-linear operation on the input signal is/areInst...
asked
Mar 6, 2025
Analog Electronics
gatein-2025
analog-electronics
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 22
If one of the eigenvectors of the matrix $A=\left[\begin{array}{cc}-1 & -1 \\ x & -4\end{array}\right]$ is along the direction of $\left[\begin{array}{c}\alpha \\ 2 \alph...
asked
Mar 6, 2025
Linear Algebra
gatein-2025
numerical-answers
linear-algebra
eigen-vectors
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 23
Consider the function $f(z)=\frac{2 z+1}{z^{2}-z}$, where $z$ is a complex variable. The sum of the residues at singular points of $f(z)$ is ______________ (in integer).
asked
Mar 6, 2025
Analysis of complex variables
gatein-2025
numerical-answers
analysis-of-complex-variables
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 24
A dual-slope ADC has a fixed integration time of $100 \: \mathrm{ms}$. The reference voltage of the ADC is $-5 \: \mathrm{V}$. The time taken by the ADC to measure an inp...
asked
Mar 6, 2025
Digital Electronics
gatein-2025
numerical-answers
measurements
analog-electronics
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 25
In the circuit shown, assume that the BJT in the circuit has very high $\beta$ and $V_{B E}=0.7 \mathrm{~V}$, and the Zener diode has $V_{Z}=4.7 \mathrm{~V}$. The current...
asked
Mar 6, 2025
Analog Electronics
gatein-2025
numerical-answers
analog-electronics
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 26
The value of the surface integral $\iint_{S}(2 x+z) \mathrm{d} y \mathrm{~d} z+(2 x+z) \mathrm{d} x \mathrm{~d} z+(2 z+y) \mathrm{d} x \mathrm{~d} y$ over the sphere $S: ...
asked
Mar 6, 2025
Calculus
gatein-2025
calculus
vector-calculus
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 27
Newton-Raphson method is used to compute the inverse of the number $1.6$. Among the following options, the initial guess of the solution that results in non-convergence o...
asked
Mar 6, 2025
Numerical Methods
gatein-2025
numerical-methods
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 28
The value of the integral $\int_{-\pi}^{\pi}\left(\cos ^{6} x+\cos ^{4} x\right) \mathrm{d} x$ is$\frac{\pi}{2}$$\frac{5 \pi}{8}$$\frac{11 \pi}{8}$$\frac{9 \pi}{8}$
asked
Mar 6, 2025
Calculus
gatein-2025
calculus
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 29
Let $y[n]=\frac{1}{\alpha} y[n-1]+x[n]$, where $\alpha>1$ and real, represent a difference equation of a causal discrete-time linear time invariant system. The system is ...
asked
Mar 6, 2025
Signals and Systems
gatein-2025
signals-and-systems
numerical-answers
+
–
0
0 votes
1
1 answer
GATE IN 2025 | Question: 30
The clock frequency of the digital circuit shown in the figure is $12 \: \mathrm{MHz}$. The frequencies of the output $(\mathrm{F})$ corresponding to Control $=0$ and Con...
asked
Mar 6, 2025
Digital Electronics
gatein-2025
digital-electronics
frequency
logic-gates
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