GATE 2023 EE – Previous Year Questions with Solutions
All 65 questions of GATE 2023 EE with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – Rafi told Mary, “I am thinking of watching a film this weekend.” The following reports the above statement in indirect speech: Rafi told Mary that he…
- Question 2 – Permit : : : Enforce : Relax (By word meaning)
- Question 3 – Given a fair six-faced dice where the faces are labelled ‘1’, ‘2’, ‘3’, ‘4’, ‘5’, and ‘6’, what is the probability of getting a ‘1’ on the first roll…
- Question 4 – A recent survey shows that 65% of tobacco users were advised to stop consuming tobacco. The survey also shows that 3 out of 10 tobacco users attempted…
- Question 5 – How many triangles are present in the given figure?
- Question 6 – Students of all the departments of a college who have successfully completed the registration process are eligible to vote in the upcoming college…
- Question 7 – Which one of the following options represents the given graph?
- Question 8 – Which one of the options does NOT describe the passage below or follow from it? We tend to think of cancer as a ‘modern’ illness because its metaphors…
- Question 9 – The digit in the unit’s place of the product 399971000 is .
- Question 10 – A square with sides of length 6 cm is given. The boundary of the shaded region is defined by two semi-circles whose diameters are the sides of the…
- Question 11 – For a given vector w=[1\ 2\ 3]T, the vector normal to the plane defined by wT x=1 is
- Question 12 – For the block diagram shown in the figure, the transfer function Y(s)R(s) is
- Question 13 – In the Nyquist plot of the open-loop transfer function G(s)H(s)=3s+5s-1 corresponding to the feedback loop shown in the figure, the infinite…
- Question 14 – Consider a unity-gain negative feedback system consisting of the plant G(s) (given below) and a proportional-integral controller. Let the proportional…
- Question 15 – The following columns present various modes of induction machine operation and the ranges of slip A: Mode of operation B: Range of slip a. Running in…
- Question 16 – A 10-pole, 50 Hz, 240 V, single phase induction motor runs at 540 RPM while driving rated load. The frequency of induced rotor currents due to…
- Question 17 – A continuous-time system that is initially at rest is described by dy(t)dt+3y(t)=2x(t), where x(t) is the input voltage and y(t) is the output…
- Question 18 – The Fourier transform X() of the signal x(t) is given by X()=1, for <W o; \ \ =0, for >W o Which one of the following statements is true?
- Question 19 – The Z-transform of a discrete signal x[n] is X(z)=4z(z-15)(z-23)(z-3)with ROC=R. Which one of the following statements is true?
- Question 20 – For the three-bus power system shown in the figure, the trip signals to the circuit breakers B 1 to B 9 are provided by overcurrent relays R 1 to R 9,…
- Question 21 – The expressions of fuel cost of two thermal generating units as a function of the respective power generation P G1 and P G2 are given as F 1(P…
- Question 22 – The four stator conductors (A, A′, B and B′) of a rotating machine are carrying DC currents of the same value, the directions of which are shown in…
- Question 23 – The chopper circuit shown in figure (i) feeds power to a 5 A DC constant current source. The switching frequency of the chopper is 100 kHz. All the…
- Question 24 – In the figure, the vectors u and v are related as: A u= v by a transformation matrix A. The correct choice of A is (In the figure, u goes from (0,0)…
- Question 25 – One million random numbers are generated from a statistically stationary process with a Gaussian distribution with mean zero and standard deviation o.…
- Question 26 – A semiconductor switch needs to block voltage V of only one polarity (V>0) during OFF state as shown in figure (i) and carry current in both…
- Question 27 – Which of the following statement(s) is/are true?
- Question 28 – The bus admittance (Y bus) matrix of a 3-bus power system is given below. Y bus=bmatrix-j15&j10&j5\10&-j13.5&j4\5&j4&-j8bmatrix Considering that there…
- Question 29 – The value of parameters of the circuit shown in the figure are R 1=2\ , R 2=2\ , R 3=3\ , L=10 mH, C=100\ F For time t<0, the circuit is at steady…
- Question 30 – A separately excited DC motor rated 400 V, 15 A, 1500 RPM drives a constant torque load at rated speed operating from 400 V DC supply drawing rated…
- Question 31 – For the signals x(t) and y(t) shown in the figure, z(t)=x(t)*y(t) is maximum at t=T 1. Then T 1 in seconds is (Round off to the nearest integer).
- Question 32 – For the circuit shown in the figure, V 1=8 V, DC and I 1=8 A, DC. The voltage V ab in Volts is (Round off to 1 decimal place).
- Question 33 – A 50 Hz, 275 kV line of length 400 km has the following parameters: Resistance, R=0.035\ /km; Inductance, L=1 mH/km; Capacitance, C=0.01\ F/km; The…
- Question 34 – In the following differential equation, the numerically obtained value of y(t), at t=1, is (Round off to 2 decimal places). dydt=e- t2+ t,=0.01\ and\…
- Question 35 – Three points in the x-y plane are (-1,0.8), (0,2.2) and (1,2.8). The value of the slope of the best fit straight line in the least square sense is…
- Question 36 – The magnitude and phase plots of an LTI system are shown in the figure. The transfer function of the system is
- Question 37 – Consider the OP AMP based circuit shown in the figure. Ignore the conduction drops of diodes D 1 and D 2. All the components are ideal and the…
- Question 38 – Consider a lead compensator of the form K(s)=1+ sa1+ s a,>1,\ a>0 The frequency at which this compensator produces maximum phase lead is 4 rad/s. At…
- Question 39 – A 3-phase, star-connected, balanced load is supplied from a 3-phase, 400 V (rms), balanced voltage source with phase sequence R-Y-B, as shown in the…
- Question 40 – An 8 bit ADC converts analog voltage in the range of 0 to +5 V to the corresponding digital code as per the conversion characteristics shown in…
- Question 41 – The three-bus power system shown in the figure has one alternator connected to bus 2 which supplies 200 MW and 40 MVAr power. Bus 3 is infinite bus…
- Question 42 – Consider the following equation in a 2-D real-space. x 1 p+ x 2 p=1for p>0 Which of the following statement(s) is/are true.
- Question 43 – In the figure, the electric field E and the magnetic field B point to x and z directions, respectively, and have constant magnitudes. A positive…
- Question 44 – All the elements in the circuit shown in the following figure are ideal. Which of the following statements is/are true?
- Question 45 – The expected number of trials for first occurrence of a “head” in a biased coin is known to be 4. The probability of first occurrence of a “head” in…
- Question 46 – Consider the state-space description of an LTI system with matrices A=bmatrix0&1\\-1&-2bmatrix,\ B=bmatrix0\\1bmatrix,\ C=[3\ \ -2],\ D=1. For the…
- Question 47 – A three-phase synchronous motor with synchronous impedance of 0.1+j0.3 per unit per phase has a static stability limit of 2.5 per unit. The…
- Question 48 – A three phase 415 V, 50 Hz, 6-pole, 960 RPM, 4 HP squirrel cage induction motor drives a constant torque load at rated speed operating from rated…
- Question 49 – The period of the discrete-time signal x[n] described by the equation below is N= (Round off to the nearest integer). x[n]=1+3(158n+34)-5(3n-4)
- Question 50 – The discrete-time Fourier transform of a signal x[n] is X()=(1+)e-j. Consider that x p[n] is a periodic signal of period N=5 such that x p[n]=x[n],…
- Question 51 – For the circuit shown, if i=1000t, the instantaneous value of the Thevenin’s equivalent voltage (in Volts) across the terminals a-b at time t=5 ms is…
- Question 52 – The admittance parameters of the passive resistive two-port network shown in the figure are y 11=5\ S,\ y 22=1\ S,\ y 12=y 21=-2.5\ S The power…
- Question 53 – When the winding c-d of the single-phase, 50 Hz, two winding transformer is supplied from an AC current source of frequency 50 Hz, the rated voltage…
- Question 54 – The circuit shown in the figure is initially in the steady state with the switch K in open condition and K in closed condition. The switch K is closed…
- Question 55 – The circuit shown in the figure has reached steady state with thyristor ‘T’ in OFF condition. Assume that the latching and holding currents of the…
- Question 56 – Neglecting the delays due to the logic gates in the circuit shown in figure, the decimal equivalent of the binary sequence [ABCD] of initial logic…
- Question 57 – In a given 8-bit general purpose micro-controller there are following flags. C-Carry, A-Auxiliary Carry, O-Overflow flag, P-Parity (0 for even, 1 for…
- Question 58 – The single phase rectifier consisting of three thyristors T 1, T 2, T 3 and a diode D 1 feed power to a 10 A constant current load. T 1 and T 3 are…
- Question 59 – The Zener diode in circuit has a breakdown voltage of 5 V. The current gain of the transistor in the active region is 99. Ignore base-emitter voltage…
- Question 60 – The two-bus power system shown in figure (i) has one alternator supplying a synchronous motor load through a Y-Δ transformer. The positive, negative…
- Question 61 – An infinite surface of linear current density K=5 a x A/m exists on the x-y plane, as shown in the figure. The magnitude of the magnetic field…
- Question 62 – The closed curve shown in the figure is described by r=1+, where r=x2+y2; x=r, y=r. The magnitude of the line integral of the vector field F=-y i+x j…
- Question 63 – A signal x(t)=2(180 t)(60 t) is sampled at 200 Hz and then passed through an ideal low pass filter having cut-off frequency of 100 Hz. The maximum…
- Question 64 – A balanced delta connected load consisting of the series connection of one resistor (R=15\ ) and a capacitor (C=212.21\ F) in each phase is connected…
- Question 65 – A quadratic function of two variables is given as f(x 1,x 2)=x 12+2x 22+3x 1+3x 2+x 1x 2+1 The magnitude of the maximum rate of change of the function…