GATE 2025 EE – Previous Year Questions with Solutions
All 65 questions of GATE 2025 EE with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – Kavya go to work yesterday as she feeling well. Select the most appropriate option to complete the above sentence.
- Question 2 – Good : Evil :: Genuine : Select the most appropriate option to complete the analogy.
- Question 3 – The relationship between two variables x and y is given by x+py+q=0 and is shown in the figure. Find the values of p and q. Note: The figure shown is…
- Question 4 – Each row of Column-I has three items and each item is represented by a circle in Column-II. The arrangement of circles in Column-II represents the…
- Question 5 – What is the value of (381274)13 ?
- Question 6 – Identify the option that has the most appropriate sequence such that a coherent paragraph is formed: P. It is because deer, like most of the animals…
- Question 7 – In the given figure, EF and HJ are coded as 30 and 80, respectively. Which one among the given options is most appropriate for the entries marked (i)…
- Question 8 – Scores obtained by two students P and Q in seven courses are given in the table below. Based on the information given in the table, which one of the…
- Question 9 – Spheres of unit diameter are centered at (l,m,n) where l, m, and n take every possible integer values. The distance between two spheres is computed…
- Question 10 – In the triangle PQR, the lengths of PT and TR are in the ratio of 3:2. ST is parallel to QR. Two semicircles are drawn with PS and PQ as diameters, as…
- Question 11 – Consider the set S of points (x,y) R2 which minimize the real valued function f(x,y)=(x+y-1)2+(x+y)2 Which of the following statements is true about…
- Question 12 – Let v 1 and v 2 be the two eigenvectors corresponding to distinct eigenvalues of a 33 real symmetric matrix. Which one of the following statements is…
- Question 13 – Let A=bmatrix1&1&1\\-1&-1&-1\\0&1&-1bmatrix, and b=bmatrix1/3\\-1/3\\0bmatrix. Then, the system of linear equations A x= b has
- Question 14 – Let P=bmatrix2&1&0\\-1&0&0\\0&0&1bmatrix and let I be the identity matrix. Then P2 is equal to
- Question 15 – Consider discrete random variables X and Y with probabilities as follows: P(X=0 and Y=0)=14 P(X=1 and Y=0)=18 P(X=0 and Y=1)=12 P(X=1 and Y=1)=18…
- Question 16 – Which one of the following statements is true about the small signal voltage gain of a MOSFET based single stage amplifier?
- Question 17 – Assuming ideal op-amps, the circuit represents a
- Question 18 – The I-V characteristics of the element between the nodes X and Y is best depicted by
- Question 19 – A nullator is defined as a circuit element where the voltage across the device and the current through the device are both zero. A series combination…
- Question 20 – Consider a discrete-time linear time-invariant (LTI) system S, where y[n]= S\x[n]\. Let S\[n]\=cases1,&n\0,1,2\\\0,&otherwisecases where [n] is the…
- Question 21 – Consider a continuous-time signal x(t)=-t2\u(t+4)-u(t-4)\ where u(t) is the continuous-time unit step function. Let (t) be the continuous-time unit…
- Question 22 – Selected data points of the step response of a stable first-order linear time-invariant (LTI) system are given below. The closest value of the…
- Question 23 – The Nyquist plot of a strictly stable G(s) having the numerator polynomial as (s-3) encircles the critical point -1 once in the anti-clockwise…
- Question 24 – During a power failure, a domestic household uninterruptible power supply (UPS) supplies AC power to a limited number of lights and fans in various…
- Question 25 – Which one of the following figures represents the radial electric field distribution E R caused by a spherical cloud of electrons with a volume charge…
- Question 26 – The operating region of the developed torque (T em) and speed () of an induction motor drive is given by the shaded region OQRE in the figure. The…
- Question 27 – The input voltage v(t) and current i(t) of a converter are given by, v(t)=300( t)\ V i(t)=10( t-6)+2(3 t+6)+(5 t+2)\ A where, =250 rad/s. The input…
- Question 28 – Instrument(s) required to synchronize an alternator to the grid is/are
- Question 29 – The open-loop transfer function of the system shown in the figure, is G(s)=Ks(s+2)(s+5)(s+7) For K0, which of the following real axis point(s) is/are…
- Question 30 – A continuous time periodic signal x(t) is x(t)=1+22 t+24 t+26 t. If T is the period of x(t), then 1T 0T x(t) 2dt= (round off to the nearest integer).
- Question 31 – The maximum percentage error in the equivalent resistance of two parallel-connected resistors of 100 Ω and 900 Ω with each having a maximum 5% error…
- Question 32 – Consider a distribution feeder, with R/X ratio of 5. At the receiving end, a 350 kVA load is connected. The maximum voltage drop will occur from the…
- Question 33 – The bus impedance matrix of a 3-bus system (in pu) is Z bus=bmatrixj0.059&j0.061&j0.038\0.061&j0.093&j0.066\0.038&j0.066&j0.110bmatrix A symmetrical…
- Question 34 – In the circuit with ideal devices, the power MOSFET is operated with a duty cycle of 0.4 in a switching cycle with I=10 A and V=15 V. The power…
- Question 35 – The induced emf in a 3.3 kV, 4 pole, 3-phase star connected synchronous motor is considered to be equal and in phase with the terminal voltage under…
- Question 36 – Let X and Y be continuous random variables with probability density functions P X(x) and P Y(y), respectively. Further, let Y=X2 and P…
- Question 37 – A Boolean function is given as f=( u+ v+ w+ x)( u+ v+ w+x)( u+v+ w+ x)( u+v+ w+x) The simplified form of this function is represented by
- Question 38 – In the circuit, I DC is an ideal current source. The transistors M 1 and M 2 are assumed to be biased in saturation, wherein V in is the input signal…
- Question 39 – In the circuit shown below, if the values of R and C are very large, the form of the output voltage for a very high frequency square wave input, is…
- Question 40 – Let continuous-time signals x 1(t) and x 2(t) be x 1(t)=cases1,&t[0,1]\\2-t,&t[1,2]\\0,&otherwisecasesand x…
- Question 41 – Let G(s)=1(s+1)(s+2). Then the closed-loop system shown in the figure below, is
- Question 42 – The continuous-time unit impulse signal is applied as an input to a continuous-time linear time-invariant system S. The output is observed to be the…
- Question 43 – The transformer connection given in the figure is part of a balanced 3-phase circuit where the phase sequence is “abc”. The primary to secondary turns…
- Question 44 – A DC series motor with negligible series resistance is running at a certain speed driving a load, where the load torque varies as cube of the speed.…
- Question 45 – A 3-phase, 400 V, 4 pole, 50 Hz star connected induction motor has the following parameters referred to the stator: R r'=1\ , X s=X r'=2\ Stator…
- Question 46 – The 3-phase modulating waveforms (v a(t), v b(t) and v c(t)), used in sinusoidal PWM in a Voltage Source Inverter (VSI) are v a(t)=0.8( t) V v…
- Question 47 – An ideal sinusoidal voltage source v(t)=2302(250t) V feeds an ideal inductor L through an ideal SCR with firing angle =0. If L=100 mH, then the peak…
- Question 48 – In the following circuit, the average voltage V o=400(1+3)\ V, where is the firing angle. If the power dissipated in the resistor is 64 W, then the…
- Question 49 – In the system shown below, the generator was initially supplying power to the grid. A temporary LLLG bolted fault occurs at F very close to circuit…
- Question 50 – An air filled cylindrical capacitor (capacitance C 0) of length L, with a and b as its inner and outer radii, respectively, consists of two coaxial…
- Question 51 – Let a R be the unit radial vector in the spherical co-ordinate system. For which of the following value(s) of n, the divergence of the radial vector…
- Question 52 – Consider two coupled circuits, having self-inductances L 1 and L 2, that carry non-zero currents I 1 and I 2, respectively. The mutual inductance…
- Question 53 – Let (x,y)2. The rate of change of the real valued function, V(x,y)=x2+x+y2+1 at the origin in the direction of the point (1,2) is (round off to the…
- Question 54 – Consider ordinary differential equations given by x 1(t)=2x 2(t) x 2(t)=r(t) with initial conditions x 1(0)=1 and x 2(0)=0. If…
- Question 55 – Let C be a clockwise oriented closed curve in the complex plane defined by z =1. Further, let f(z)=jz be a complex function, where j=-1. Then,…
- Question 56 – The op-amps in the following circuit are ideal. The voltage gain of the circuit is (round off to the nearest integer).
- Question 57 – The switch (S) closes at t=0 sec. The time, in sec, the capacitor takes to charge to 50 V is (round off to one decimal place).
- Question 58 – In an experiment to measure the active power drawn by a single-phase RL Load connected to an AC source through a 2 Ω resistor, three voltmeters are…
- Question 59 – In the Wheatstone bridge shown below, the sensitivity of the bridge in terms of change in balancing voltage E for unit change in the resistance R, in…
- Question 60 – The steady state capacitor current of a conventional DC-DC buck converter, working in CCM, is shown in one switching cycle. If the input voltage is 30…
- Question 61 – An ideal low pass filter has frequency response given by H(j)=cases1,& 200\\0,&otherwisecases Let h(t) be its time domain representation. Then h(0)=…
- Question 62 – Consider the state-space model x(t)=A x(t)+Br(t), y(t)=C x(t) where x(t), r(t), y(t) are the state, input and output, respectively. The matrices A,B,C…
- Question 63 – Using shunt capacitors, the power factor of a 3-phase, 4 kV induction motor (drawing 390 kVA at 0.77 pf lag) is to be corrected to 0.85 pf lag. The…
- Question 64 – Two units, rated at 100 MW and 150 MW, are enabled for economic load dispatch. When the overall incremental cost is 10,000 Rs./MWh, the units are…
- Question 65 – A controller D(s) of the form (1+K Ds) is to be designed for the plant G(s)=10002s(s+10)2 as shown in the figure. The value of K D that yields a phase…