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General Aptitude

10 Questions
GATE→2026→General Aptitude→Verbal Ability
Q1
MCQ[1 Mark]
In the sentence 'The shopkeeper sells lemons.', the word 'lemons' is the
GATE→2026→General Aptitude→Quantitative Aptitude
Q2
MCQ[1 Mark]
The figure shows three non-overlapping shapes (one oval and two triangles). Which one of the figures P, Q, R, or S fits the missing portion indicated by '?'?
Figure for Question 2
GATE→2026→General Aptitude→Quantitative Aptitude
Q3
MCQ[1 Mark]
At how many points will the curves y = x^2 and y = -x^2 - 2x - 1 intersect in the real (x, y) plane?
GATE→2026→General Aptitude→Verbal Ability
Q4
MCQ[1 Mark]
Based on the provided paragraph regarding Anish's match performance and captaincy, which statement is true?
GATE→2026→General Aptitude→Quantitative Aptitude
Q5
MCQ[1 Mark]
Which one of the following figures P, Q, R, or S correctly shows the 45° clockwise-rotated version of figure (I)?
Figure for Question 5
GATE→2026→General Aptitude→Verbal Ability
Q6
MCQ[2 Marks]
Match the words in Column I with their synonyms in Column II: Column I: (i) Lonely, (ii) Literal, (iii) Lousy, (iv) Lethal Column II: (p) Verbatim, (q) Solitary, (r) Deadly, (s) Terrible
GATE→2026→General Aptitude→Quantitative Aptitude
Q7
MCQ[2 Marks]
In the given figure, PQ is the diameter of a circle with center O. Points R and S are on the circle with angle ROS = 80°. PR and QS extended meet at T. The value of angle RTS is
Figure for Question 7
GATE→2026→General Aptitude→Quantitative Aptitude
Q8
MCQ[2 Marks]
Based on the relationship between each polygon and the number inside it (6, 24, 120, X), the value of X is
Figure for Question 8
GATE→2026→General Aptitude→Quantitative Aptitude
Q9
MCQ[2 Marks]
Consider a linear arrangement of seven bulbs with specific transition rules applied at each step. The number of bulbs which are ON at the end of Step 8 is
Figure for Question 9
GATE→2026→General Aptitude→Quantitative Aptitude
Q10
MCQ[2 Marks]
P and Q are two positive integers such that P^2 = Q^2 + 13. The product of the numbers P and Q is

Engineering Mathematics

12 Questions
GATE→2026→Engineering Mathematics→Differential Equations
Q11
MCQ[1 Mark]
Consider the differential equation t^2 (d^2y/dt^2) + 7t (dy/dt) + 8ty = 10 sin(t). Which statement is correct?
GATE→2026→Engineering Mathematics→Linear Algebra
Q12
MSQ[1 Mark]
Matrices A and B share eigenvalue 2 with the same eigenvector x. Which statements are correct?
GATE→2026→Engineering Mathematics→Calculus
Q13
NAT[1 Mark]
Evaluate the surface integral of F(x, y, z) = sin(y) x_hat + cos(x) y_hat + 5 z_hat over the unit sphere S centered at the origin.
GATE→2026→Engineering Mathematics→Linear Algebra
Q14
NAT[1 Mark]
For a real skew-symmetric matrix A and unit vector x, evaluate x^T A x.
GATE→2026→Engineering Mathematics→Calculus
Q15
MCQ[2 Marks]
For the periodic waveform f(x) constructed from g(x), if the sum of third harmonic Fourier coefficients is given, find k.
GATE→2026→Engineering Mathematics→Linear Algebra
Q16
MCQ[2 Marks]
For a collection of p column vectors with n real entries, which statement is always correct?
GATE→2026→Engineering Mathematics→Differential Equations
Q17
MCQ[2 Marks]
Solve d^2y/dx^2 + dy/dx + y = 0 with y(0) = 1, y'(0) = 1.
GATE→2026→Engineering Mathematics→Linear Algebra
Q18
MSQ[2 Marks]
For a real n x n orthogonal matrix A with unit column norms, which statements are correct?
GATE→2026→Engineering Mathematics→Linear Algebra
Q19
MSQ[2 Marks]
If Ax = b has a unique solution for square matrix A, which statements are correct?
GATE→2026→Engineering Mathematics→Complex Variables
Q20
NAT[2 Marks]
Evaluate the magnitude of the contour integral oint_C ((z+1)^2 / ((z-i)(z-2))) dz over |z - 2 - i| = 3/2.
GATE→2026→Engineering Mathematics→Probability and Statistics
Q21
NAT[2 Marks]
Find the value of alpha that minimizes E((X - alpha Y)^2) given expectations of X, Y, X^2, Y^2, and XY.
GATE→2026→Engineering Mathematics→Calculus
Q22
NAT[2 Marks]
Evaluate the improper integral (1/pi) * integral from 0 to infinity of (x^2026 / ((1 + x^2026)(1 + x^2))) dx.

Electric Circuits

8 Questions
GATE→2026→Electric Circuits→Network Elements & Solution Methods
Q23
MCQ[1 Mark]
In a circuit containing D, R, L, C, and V_DC, which option correctly identifies all the linear elements?
GATE→2026→Electric Circuits→Network Elements & Solution Methods
Q24
MCQ[1 Mark]
For the given circuit, determine Thevenin's equivalent parameters V_TH and R_TH between nodes Y and Z.
Figure for Question 24
GATE→2026→Electric Circuits→Network Elements & Solution Methods
Q25
MCQ[1 Mark]
For the four dependent source circuits, which parameter set makes all of them physically realizable?
GATE→2026→Electric Circuits→Network Theorems & AC/DC Transients
Q26
MCQ[1 Mark]
Voltage v_s = 325 sin(wt) V and current i = 12 sin(wt) + 9 sin(3wt) A are supplied to a load. Find the power factor.
GATE→2026→Electric Circuits→Network Theorems & AC/DC Transients
Q27
MCQ[2 Marks]
Voltage is v = V_m sin(omega t) and current is i = I_m sin(omega t - theta). What is the average power dissipated over a half cycle?
GATE→2026→Electric Circuits→Network Theorems & AC/DC Transients
Q28
MCQ[2 Marks]
For the RC network with DC sources, find the capacitor voltage at t = 0+, t = 0.50 s, and t = infinity.
Figure for Question 28
GATE→2026→Electric Circuits→Network Elements & Solution Methods
Q29
MCQ[2 Marks]
Using V-I table data for a linear network, determine Norton equivalent parameters I_N and R_N.
Figure for Question 29
GATE→2026→Electric Circuits→Network Elements & Solution Methods
Q30
NAT[2 Marks]
For the given two-port network, find the load resistance R_L for maximum power transfer.
Figure for Question 30

Electromagnetic Fields

4 Questions
GATE→2026→Electromagnetic Fields→Electrostatics & Magnetostatics
Q31
MCQ[1 Mark]
A uniform ring charge of radius R carries charge Q. What is the magnitude of the force on a point charge q at its center?
GATE→2026→Electromagnetic Fields→Electrostatics & Magnetostatics
Q32
MCQ[1 Mark]
A positive point charge with velocity v = 5 x_hat enters E = 4 y_hat and B = -6 z_hat. What is correct about the force?
GATE→2026→Electromagnetic Fields→Electrostatics & Magnetostatics
Q33
MCQ[2 Marks]
For planar loop A enclosing areas a_1 and a_2 subjected to given magnetic fields B_1 and B_2, what is the induced RMS voltage?
Figure for Question 33
GATE→2026→Electromagnetic Fields→Electrostatics & Magnetostatics
Q34
NAT[2 Marks]
Calculate the work done in moving a point charge through the electric field of a charged sphere and potential difference.

Signals and Systems

2 Questions
GATE→2026→Signals and Systems→Continuous/Discrete Signals & Transforms
Q35
MCQ[1 Mark]
Consider the discrete-time sequence x[n] = 0.9^{|n|}. The region of convergence of its Z-transform X(z) is
GATE→2026→Signals and Systems→Continuous/Discrete Signals & Transforms
Q36
MCQ[1 Mark]
Let x_c(t) be a continuous-time periodic signal with period T, sampled at T_s (T_s != T) to yield x[n]. Which statement is correct?

Electrical Machines

7 Questions
GATE→2026→Electrical Machines→Transformers & Energy Conversion
Q37
MCQ[1 Mark]
A 15 kVA, 1100 V/220 V single-phase transformer is configured as a 1.32 kV/1.1 kV autotransformer. What is its rating?
GATE→2026→Electrical Machines→DC & AC Machines
Q38
MCQ[1 Mark]
A synchronous motor-generator set converts 50 Hz grid power to 16.67 Hz. Which combination of poles for motor and generator is suitable?
GATE→2026→Electrical Machines→DC & AC Machines
Q39
MCQ[1 Mark]
Which statement is correct regarding the typical double-squirrel-cage structure used in induction motors?
GATE→2026→Electrical Machines→DC & AC Machines
Q40
MCQ[1 Mark]
A synchronous generator delivers power to an infinite bus at unity p.f. If field excitation is increased, what happens to stator current, power factor, and load angle?
Figure for Question 40
GATE→2026→Electrical Machines→Transformers & Energy Conversion
Q41
MSQ[1 Mark]
A 220V/12V, 100VA, 50Hz transformer is operated in the USA at 110V, 60Hz. Which statements are correct?
GATE→2026→Electrical Machines→Transformers & Energy Conversion
Q42
MCQ[2 Marks]
Three single-phase 11kV/3.3kV transformers form a 3-phase bank with connections shown. What is the vector group?
Figure for Question 42
GATE→2026→Electrical Machines→DC & AC Machines
Q43
NAT[2 Marks]
A 3-phase induction motor runs at 1476 rpm with shorted slip rings and 1404 rpm with 0.27 ohm/phase added. Find per phase rotor resistance R_2.

Power Systems

7 Questions
GATE→2026→Power Systems→Generation, Transmission & Load Flow
Q44
MCQ[1 Mark]
In a power system with N buses (P generator buses, Q load buses), what is the size of the Jacobian matrix in the Newton-Raphson method?
GATE→2026→Power Systems→Fault Analysis, Protection & Stability
Q45
MCQ[1 Mark]
When balanced three-phase voltage phasors undergo a common phase shift delta_theta (Case-2), what happens to their zero sequence components?
GATE→2026→Power Systems→Fault Analysis, Protection & Stability
Q46
MCQ[2 Marks]
Given Main CT 300:5 and auxiliary transformer YnA 2:1, find I_AR.
Figure for Question 46
GATE→2026→Power Systems→Fault Analysis, Protection & Stability
Q47
MCQ[2 Marks]
A reactance relay has characteristic X <= 1 ohm. What is its operating characteristic in the G-B admittance plane?
GATE→2026→Power Systems→Generation, Transmission & Load Flow
Q48
MCQ[2 Marks]
For a transformer with voltage ratio V_p/V_s = 0.866 + j0.5 and leakage admittance y_t referred to secondary, what is the Y-bus matrix?
Figure for Question 48
GATE→2026→Power Systems→Generation, Transmission & Load Flow
Q49
MSQ[2 Marks]
For the balanced transmission line under Case-1 (Z = 0.75<0°) and Case-2 (Z = 0.75<90°), which statements regarding power losses are correct?
Figure for Question 49
GATE→2026→Power Systems→Generation, Transmission & Load Flow
Q50
NAT[2 Marks]
For economic load dispatch with given cost functions and loss formula, find the real power loss at optimal generation (Lambda = 70.25).

Control Systems

4 Questions
GATE→2026→Control Systems→Mathematical Modeling & LTI System Analysis
Q51
MCQ[1 Mark]
The step response Laplace transform is Y(s) = 100 / (s(s+100)). Find T_r, T_s (0.98 final value), and T_c.
GATE→2026→Control Systems→Stability Criteria, Compensators & Controllers
Q52
MCQ[1 Mark]
An asymptotic Bode magnitude plot has a slope of -20 dB/decade starting from omega_0. Which transfer function represents it?
Figure for Question 52
GATE→2026→Control Systems→Mathematical Modeling & LTI System Analysis
Q53
MCQ[2 Marks]
Given the state-space model with matrix A = [a, b; -a, 0], find a and b such that system poles are at -2 ± j3.
Figure for Question 53
GATE→2026→Control Systems→Mathematical Modeling & LTI System Analysis
Q54
MCQ[2 Marks]
Perform a state transformation using z matrix to find the new state-space representation.

Electrical and Electronic Measurements

1 Question
GATE→2026→Electrical and Electronic Measurements→Bridges, Meters & Instrumentation
Q55
NAT[2 Marks]
In a Wheatstone bridge with P = 2000 ohm, Q = 500 ohm, R = 3000 ohm, find the value of S for bridge balance.
Figure for Question 55

Analog and Digital Electronics

4 Questions
GATE→2026→Analog and Digital Electronics→Analog Circuits, Op-Amps & Filters
Q56
NAT[1 Mark]
In the linear regulator circuit, find the maximum possible efficiency (in %).
Figure for Question 56
GATE→2026→Analog and Digital Electronics→Analog Circuits, Op-Amps & Filters
Q57
MCQ[2 Marks]
For the op-amp circuit with open-loop gain A_0 = 10^5, find the closed-loop voltage gain.
Figure for Question 57
GATE→2026→Analog and Digital Electronics→Digital Logic & Converters
Q58
MCQ[2 Marks]
For the given digital logic circuit with inputs x, y, z, find the simplified Boolean expression for OUT.
Figure for Question 58
GATE→2026→Analog and Digital Electronics→Digital Logic & Converters
Q59
MCQ[2 Marks]
For the MOSFET logic circuit powered at 5 V with resistors 5 kohm and 10 kohm, find OUT expression and maximum power P.
Figure for Question 59

Power Electronics

6 Questions
GATE→2026→Power Electronics→Power Semiconductor Devices & Converters
Q60
MCQ[1 Mark]
Using the diode forward characteristic graph (V_0 = 1.0 V at 0 A, 1.8 V at 50 A), calculate the power loss for a continuous 15 A current.
Figure for Question 60
GATE→2026→Power Electronics→Power Semiconductor Devices & Converters
Q61
MCQ[1 Mark]
Based on the MOSFET turn-off voltage overshoot waveforms for gate resistances R_1, R_2, R_3, which option correctly compares them?
Figure for Question 61
GATE→2026→Power Electronics→Power Semiconductor Devices & Converters
Q62
NAT[1 Mark]
Find the peak diode current for v_s = 325 sin(wt) V, L = 500 uH, R = 10 ohm.
Figure for Question 62
GATE→2026→Power Electronics→Inverters & AC-DC/DC-DC Topologies
Q63
MCQ[2 Marks]
In a single-phase H-bridge inverter with triangular inductor current (peak 5 A), find the RMS current through switch S1.
Figure for Question 63
GATE→2026→Power Electronics→Power Semiconductor Devices & Converters
Q64
MCQ[2 Marks]
For a boost converter operating in DCM with peak inductor current 6 A (t_1 = 10 us, t_2 = 10 us, T = 20 us), R = 10 ohm, find input voltage V_dc.
Figure for Question 64
GATE→2026→Power Electronics→Power Semiconductor Devices & Converters
Q65
NAT[2 Marks]
For a single-phase rectifier circuit with v_s = 100 sin(wt) V, V_dc = 50 V, R = 10 ohm, find the average diode current.
Figure for Question 65