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GATE IN 2026 | GA | Question: 1
To continue the sequence of tiles shown, the tile indicated by the question mark should be
gatecse
2.8k
points
asked
Feb 23
Spatial Aptitude
gatein-2026
spatial-aptitude
analytical-aptitude
+
–
0
0 votes
1
1 answer
GATE IN 2026 | GA | Question: 3
The $2^{\text {nd }}$ of June is a Thursday in a certain year. Which day of the week is the $3^{\text {rd }}$ of July in that year?ThursdayFridaySaturdaySunday
gatecse
2.8k
points
asked
Feb 23
Analytical Aptitude
gatein-2026
analytical-aptitude
logical-reasoning
quantitative-aptitude
+
–
0
0 votes
1
1 answer
GATE IN 2026 | GA | Question: 4
A coin with heads facing up is shown as (H) and a coin with tails facing up is shown as (T).Six coins are placed in the Starting Arrangement, as shown in the figure below...
gatecse
2.8k
points
asked
Feb 23
Analytical Aptitude
gatein-2026
analytical-aptitude
numerical-ability
+
–
0
0 votes
1
1 answer
GATE IN 2026 | GA | Question: 5
Exacerbate : Mitigate :: $\_\_\_\_$Choose the option with the correct pair of words to fill the blank.Aggravate: AlleviateAlleviate: PrecipitateAggravate: PrecipitateEman...
gatecse
2.8k
points
asked
Feb 23
Verbal Aptitude
gatein-2026
verbal-aptitude
analytical-aptitude
most-appropriate-word
+
–
0
0 votes
0
0 answers
GATE IN 2026 | GA | Question: 6
A paper shown in Panel $\text{I}$ is folded along the dashed lines (- - -) to construct a cube. The shaded regions shown in Panel $\text{I}$ appear on the outer surface o...
gatecse
2.8k
points
asked
Feb 23
Spatial Aptitude
gatein-2026
spatial-aptitude
analytical-aptitude
+
–
0
0 votes
0
0 answers
GATE IN 2026 | GA | Question: 7
In a population, patients who have high cholesterol also have high blood-pressure (BP). Some patients with high BP also have diabetes. There are no patients who have both...
gatecse
2.8k
points
asked
Feb 23
Analytical Aptitude
gatein-2026
analytical-aptitude
quantitative-aptitude
venn-diagrams
numerical-answers
+
–
0
0 votes
1
1 answer
GATE IN 2026 | GA | Question: 8
Four people $\mathrm{P}, \mathrm{Q}, \mathrm{R}$, and $\mathrm{S}$, of different ages, make the following observations.$\mathrm{I}$ am younger than $\mathrm{S}$.$\mathrm{...
gatecse
2.8k
points
asked
Feb 23
Analytical Aptitude
gatein-2026
analytical-aptitude
logical-reasoning
+
–
0
0 votes
1
1 answer
GATE IN 2026 | GA | Question: 9
Circles $C_{1}, C_{2}$, and $C_{3}$, with centers $O_{1}, O_{2}$, and $O_{3}$, and radii $r_{1}, r_{2}$, and $r_{3}$, respectively, touch each other as shown in the follo...
gatecse
2.8k
points
asked
Feb 23
Quantitative Aptitude
gatein-2026
analytical-aptitude
geometry
numerical-answers
+
–
1
1 vote
1
1 answer
GATE IN 2026 | Question: 1
A matrix $P \in \mathbb{R}^{3 \times 3}$ satisfies $P^{3}-4 P^{2}+5 P-2 I=0$ where $I$ is a $3 \times 3$ identity matrix.The set of all possible eigenvalues of matrix $P$...
gatecse
2.8k
points
asked
Feb 23
Linear Algebra
gatein-2026
linear-algebra
eigen-values
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2026 | Question: 2
Which one among the following statements is true for the function $f(x)=x\mid x \mid $?$f(x)$ is discontinuous but not differentiable at $x=0$.$f(x)$ is discontinuous and...
gatecse
2.8k
points
asked
Feb 23
Calculus
gatein-2026
calculus
+
–
0
0 votes
0
0 answers
GATE IN 2026 | Question: 3
Consider a function $f(z)=z^{2}+z+1$ where $z \in \mathbb{C}$ is a complex variable. A simple closed contour $\gamma$ in $z$-plane encloses the point $z=1+0 j$.The value ...
gatecse
2.8k
points
asked
Feb 23
Analysis of complex variables
gatein-2026
analysis-of-complex-variables
complex-number
calculus
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2026 | Question: 5
An electric field has a potential of $V(x, y, z)=\sqrt{x^{2}+y^{2}+z^{2}} \mathrm{~V}$. A charge of $1$ coulomb placed at $(\hat{\imath}+\hat{\jmath}+\hat{k})$ experience...
gatecse
2.8k
points
asked
Feb 23
Electricity and Magnetism
gatein-2026
electricity-and-magnetism
numerical-answers
vector-calculus
+
–
0
0 votes
0
0 answers
GATE IN 2026 | Question: 6
The RLC filter shown below acts as a $\_\_\_\_$.low pass filterhigh pass filterband pass filterband stop filter
gatecse
2.8k
points
asked
Feb 23
Analog Electronics
gatein-2026
analog-electronics
signals-and-systems
+
–
0
0 votes
0
0 answers
GATE IN 2026 | Question: 7
A single phase step-down transformer has a high voltage primary winding and a low voltage secondary winding. The secondary winding is connected to a load impedance $Z_{2}...
gatecse
2.8k
points
asked
Feb 23
Electrical Circuits and Machines
gatein-2026
electrical-circuits-and-machines
+
–
0
0 votes
0
0 answers
GATE IN 2026 | Question: 8
A square wave signal of frequency $20$ $\mathrm{kHz}$ is passed through an ideal low-pass filter with cut-off frequency of $21$ $\mathrm{kHz}$. The output signal is a $\_...
gatecse
2.8k
points
asked
Feb 23
Signals and Systems
gatein-2026
signals-and-systems
analog-electronics
+
–
0
0 votes
0
0 answers
GATE IN 2026 | Question: 9
Given $x(t)=4 \sin (15 \pi t)+7 \cos (4 \pi t)$, where $t$ is in seconds.The fundamental period of $x(t)$ is $\_\_\_\_\_\_$ seconds.$15$$60$$30$$2$
gatecse
2.8k
points
asked
Feb 23
Signals and Systems
gatein-2026
signals-and-systems
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2026 | Question: 10
Among the following, the differential equation(s) not representative of a linear dynamical system is/are $\_\_\_\_\_\_$.$\dfrac{d^{2} x}{d t^{2}}+2 t \dfrac{d x}{d t}+x(t...
gatecse
2.8k
points
asked
Feb 23
Control Systems
gatein-2026
control-systems
differential-equations
+
–
0
0 votes
0
0 answers
GATE IN 2026 | Question: 11
A common gate amplifier represents a $\_\_\_\_\_\_$.voltage controlled voltage sourcecurrent controlled current sourcevoltage controlled current sourcecurrent controlled ...
gatecse
2.8k
points
asked
Feb 23
Analog Electronics
gatein-2026
analog-electronics
+
–
0
0 votes
0
0 answers
GATE IN 2026 | Question: 12
In the circuit shown, the BJT has a $\beta$ of $100$. The base-emitter junction voltage is $0.65$ $\mathrm{V}$. The quiescent collector current, $I_{C}$ is $\_\_\_\_$ $\m...
gatecse
2.8k
points
asked
Feb 23
Analog Electronics
gatein-2026
analog-electronics
electrical-circuits-and-machines
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2026 | Question: 13
The maximum signal to quantization noise ratio (SQNR) for a $16$-bit analog-todigital converter is approximately $\_\_\_\_\_\_$ $\mathrm{dB}$.$48$$68$$88$$98$
gatecse
2.8k
points
asked
Feb 23
Digital Electronics
gatein-2026
analog-electronics
signals-and-systems
numerical-answers
+
–
0
0 votes
1
1 answer
GATE IN 2026 | Question: 14
The Kelvin double bridge is used to measure $\_\_\_\_$ valued resistances and has $\_\_\_\_$ resistors in its construction.low ; three-terminallow ; four-terminalhigh ; t...
gatecse
2.8k
points
asked
Feb 23
Measurements
gatein-2026
measurements
electrical-circuits-and-machines
+
–
0
0 votes
1
1 answer
GATE IN 2026 | Question: 15
Active strain gauges are connected in a half-bridge configuration to measure strain in a cantilever element. When powered by a voltage source of $10$ $\mathrm{V}$, the vo...
gatecse
2.8k
points
asked
Feb 23
Sensors and Industrial Instrumentation
gatein-2026
measurements
sensors-and-industrial-instrumentation
numerical-answers
+
–
0
0 votes
1
1 answer
GATE IN 2026 | Question: 16
A glass $\mathrm{pH}$ electrode behaves linearly with an output change of $60$ $\mathrm{mV}$ per unit change in $\mathrm{pH}$. The measurement reference is set such that ...
gatecse
2.8k
points
asked
Feb 23
Sensors and Industrial Instrumentation
gatein-2026
measurements
sensors-and-industrial-instrumentation
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2026 | Question: 17
An analog speech signal contains signals from $200$ $\mathrm{Hz}$ to $2400$ $\mathrm{Hz}$. It is sampled at $6$ $\mathrm{kHz}$ and quantized with $512$ levels for pulse c...
gatecse
2.8k
points
asked
Feb 23
Communication and Optical Instrumentation
gatein-2026
communication-and-optical-instrumentation
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2026 | Question: 18
The slope efficiency of a laser diode is $0.5 \mathrm{~W} / \mathrm{A}$, and the output optical power at a current of $100$ $\mathrm{mA}$ is $30$ $\mathrm{mW}$. Assuming ...
gatecse
2.8k
points
asked
Feb 23
Communication and Optical Instrumentation
gatein-2026
communication-and-optical-instrumentation
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2026 | Question: 19
In a linear element, the measured current is $100 \mathrm{~mA} \pm 2.5 \%$ and the measured voltage is $5 \mathrm{~V} \pm 5 \%$. Which of the following options show $(\ma...
gatecse
2.8k
points
asked
Feb 23
Measurements
gatein-2026
measurements
numerical-answers
analytical-aptitude
+
–
1
1 vote
1
1 answer
GATE IN 2026 | Question: 20
Which of the following statements is/are correct for a thermocouple?It is based on the Seebeck Effect.The change in resistance is measured.The voltage difference between ...
gatecse
2.8k
points
asked
Feb 23
Sensors and Industrial Instrumentation
gatein-2026
measurements
sensors-and-industrial-instrumentation
analytical-aptitude
+
–
0
0 votes
0
0 answers
GATE IN 2026 | Question: 21
A data set is given to be $[1,2,0,-1,-3,1,2,0,1]$.The median of the data set is $\_\_\_\_$ . (rounded off to the nearest integer)
gatecse
2.8k
points
asked
Feb 23
Probability and Statistics
gatein-2026
numerical-answers
probability-and-statistics
numerical-ability
+
–
0
0 votes
0
0 answers
GATE IN 2026 | Question: 22
The potential difference between nodes $A$ and $B$ in a circuit is $v_{A}-v_{B}=5 \mathrm{~V}$. The work done in moving a charge of $1$ coulomb from point $B$ to $A$ is $...
gatecse
2.8k
points
asked
Feb 23
Electricity and Magnetism
gatein-2026
numerical-answers
electricity-and-magnetism
+
–
0
0 votes
0
0 answers
GATE IN 2026 | Question: 23
In a series $R L$ circuit shown in the figure, the current through the resistor lags the AC source voltage by $45^{\circ}$. Let $R=100 \pi \Omega$ and $L=2 \mathrm{H}$.Th...
gatecse
2.8k
points
asked
Feb 23
Electrical Circuits and Machines
gatein-2026
numerical-answers
electrical-circuits-and-machines
analytical-aptitude
+
–
0
0 votes
1
1 answer
GATE IN 2026 | Question: 24
In the circuit below the maximum value of $\mathcal{V}_{\text {out }}$ is $\_\_\_\_$ $\mathrm{V}$. (rounded off to the nearest integer)
gatecse
2.8k
points
asked
Feb 23
Analog Electronics
gatein-2026
numerical-answers
analog-electronics
+
–
0
0 votes
0
0 answers
GATE IN 2026 | Question: 25
The minimum number of comparators required in a $6$-bit flash analog-to-digital converter is $\_\_\_\_\_\_$. (answer in integer)
gatecse
2.8k
points
asked
Feb 23
Digital Electronics
gatein-2026
numerical-answers
analog-electronics
+
–
0
0 votes
0
0 answers
GATE IN 2026 | Question: 26
A box contains three apples and two oranges. Two fruits are removed randomly in succession. The probability that the first is an apple and the second is an orange is $\_\...
gatecse
2.8k
points
asked
Feb 23
Probability and Statistics
gatein-2026
probability
analytical-aptitude
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2026 | Question: 27
An electric field in free space is$\vec{E}=(2 x+5 y+6 z) \hat{\imath}+(5 x+4 y+10 z) \hat{\jmath}+(6 x+10 y+2 z) \hat{k} \mathrm{~V} / \mathrm{m}.$The charge density is $...
gatecse
2.8k
points
asked
Feb 23
Electricity and Magnetism
gatein-2026
electricity-and-magnetism
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2026 | Question: 28
A straight thin wire carrying a current of $I=1 \mathrm{~A}$ in the direction $\widehat{n}=\dfrac{1}{\sqrt{6}} \hat{\imath}+\dfrac{2}{\sqrt{6}} \hat{\jmath}+\dfrac{1}{\sq...
gatecse
2.8k
points
asked
Feb 23
Electricity and Magnetism
gatein-2026
electricity-and-magnetism
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2026 | Question: 29
A two-port network has $\mathrm{z}$-parameters $z_{11}=z_{22}=10 \Omega$, and $z_{12}=z_{21}=5 \Omega$.The value of $R_{L}$ such that maximum power is transferred to $R_{...
gatecse
2.8k
points
asked
Feb 23
Analog Electronics
gatein-2026
electrical-circuits-and-machines
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2026 | Question: 30
In the circuit shown below, the value of the output voltage $V_{0}$ is $\_\_\_\_$ $\mathrm{V}$.$2$$3$$4$$8$
gatecse
2.8k
points
asked
Feb 23
Analog Electronics
gatein-2026
analog-electronics
electrical-circuits-and-machines
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2026 | Question: 31
A signal $x(t)$ is shown below.The plot of $y(t)=1-x(4-t)$ is shown in $\_\_\_\_\_\_$.
gatecse
2.8k
points
asked
Feb 23
Signals and Systems
gatein-2026
signals-and-systems
+
–
0
0 votes
0
0 answers
GATE IN 2026 | Question: 32
In the table shown below, List-I are the system responses to input $x(t)$ and List-II are the system properties. The correct matching is $\_\_\_\_\_\_$.$$\begin{array}{|l...
gatecse
2.8k
points
asked
Feb 23
Signals and Systems
gatein-2026
signals-and-systems
analytical-aptitude
+
–
0
0 votes
0
0 answers
GATE IN 2026 | Question: 33
Given two signals: $x(t)=u(t-2)-u(t-3)$, and $y(t)=e^{-4 t} u(t)$. If $z(t)=x(t) * y(t)$, then $Z(s)$ is $\_\_\_\_$.$\dfrac{e^{-3 s}\left[e^{s}-1\right]}{s(s+4)}$$\dfrac{...
gatecse
2.8k
points
asked
Feb 23
Signals and Systems
gatein-2026
signals-and-systems
laplace-transform
+
–
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