GATE 2024 EE – Previous Year Questions with Solutions
All 65 questions of GATE 2024 EE with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – If ‘→’ denotes increasing order of intensity, then the meaning of the words [talk → shout → scream] is analogous to [please → → pander]. Which one of…
- Question 2 – P and Q have been allotted a hostel room with two beds, a study table, and an almirah. P is an avid bird-watcher and wants to sit at the table and…
- Question 3 – The decimal number system uses the characters 0, 1, 2, …, 8, 9, and the octal number system uses the characters 0, 1, 2, …, 6, 7. For example, the…
- Question 4 – A shopkeeper buys shirts from a producer and sells them at 20% profit. A customer has to pay ₹3,186.00 including 18% taxes, per shirt. At what price…
- Question 5 – If, for non-zero real variables x, y, and real parameter a>1, x:y=(a+1):(a-1), then, the ratio (x2-y2):(x2+y2) is
- Question 6 – In the given text, the blanks are numbered (i)−(iv). Select the best match for all the blanks. Following a row (i) the shopkeeper (ii) the price of a…
- Question 7 – In the following figure, CD = 5 cm, BE = 10 cm, AE = 12 cm, ∠DAB = ∠DCB, and ∠DAE = ∠DBC = 90° Points AFCD create a rhombus. The length of BF (in cm)…
- Question 8 – The chart below shows the data of the number of cars bought by Millennials and Gen X people in a country from the year 2010 to 2020 as well as the…
- Question 9 – The assembly shown below has three teethed circular objects (Pinions) and two teethed flat objects (Racks), which are perfectly mating with each…
- Question 10 – A surveyor has to measure the horizontal distance from her position to a distant reference point C. Using her position as the center, a 200 m…
- Question 11 – Which one of the following matrices has an inverse?
- Question 12 – The number of junctions in the circuit is
- Question 13 – All the elements in the circuit are ideal. The power delivered by the 10 V source in watts is
- Question 14 – The circuit shown in the figure with the switch S open, is in steady state. After the switch S is closed, the time constant of the circuit in seconds…
- Question 15 – Suppose signal y(t) is obtained by the time-reversal of signal x(t), i.e., y(t)=x(-t), -<t<. Which one of the following options is always true for the…
- Question 16 – If u(t) is the unit step function, then the region of convergence (ROC) of the Laplace transform of the signal x(t)=et2[u(t-1)-u(t-10)] is
- Question 17 – A three phase, 50 Hz, 6 pole induction motor runs at 960 rpm. The stator copper loss, core loss, and the rotational loss of the motor can be…
- Question 18 – Which one of the following options represents possible voltage polarities in a single phase two winding transformer? Here, V p is the applied primary…
- Question 19 – The figure shows the single line diagram of a 4-bus power network. Branches b 1, b 2, b 3, and b 4 have impedances 4z, z, 2z, and 4z per-unit (pu),…
- Question 20 – For the block-diagram shown in the figure, the transfer function C(s)R(s) is
- Question 21 – Consider the standard second-order system of the form n2s2+2 ns+ n2 with the poles p and p* having negative real parts. The pole locations are also…
- Question 22 – Consider the cascaded system as shown in the figure. Neglecting the faster component of the transient response, which one of the following options is…
- Question 23 – The table lists two instrument transformers and their features: Instrument Transformers Features P) Primary is connected in parallel to the grid X)…
- Question 24 – Simplified form of the Boolean function F(P,Q,R,S)= P Q+ PQS+P Q R S+P QR S is
- Question 25 – In the circuit, the present value of Z is 1. Neglecting the delay in the combinatorial circuit, the values of S and Z, respectively, after the…
- Question 26 – To obtain the Boolean function F(X,Y)=X Y+ X, the inputs PQRS in the figure should be (4:1 multiplexer with inputs P,Q,R,S on lines 0,1,2,3; select…
- Question 27 – If the following switching devices have similar power ratings, which one of them is the fastest?
- Question 28 – A single-phase triac based AC voltage controller feeds a series RL load. The input AC supply is 230 V, 50 Hz. The values of R and L are 10 Ω and 18.37…
- Question 29 – Let X be a discrete random variable that is uniformly distributed over the set \-10,-9,,0,,9,10\. Which of the following random variables is/are…
- Question 30 – Which of the following complex functions is/are analytic on the complex plane?
- Question 31 – Consider the complex function f(z)= z+ez2. The coefficient of z5 in the Taylor series expansion of f(z) about the origin is (rounded off to 1 decimal…
- Question 32 – The sum of the eigenvalues of the matrix A=bmatrix1&2\\3&4bmatrix2 is (rounded off to the nearest integer).
- Question 33 – Let X() be the Fourier transform of the signal x(t)=e-t4 t,-<t<. The value of the derivative of X() at =0 is (rounded off to 1 decimal place).
- Question 34 – The incremental cost curves of two generators (Gen A and Gen B) in a plant supplying a common load are shown in the figure. If the incremental cost of…
- Question 35 – A forced commutated thyristorized step-down chopper is shown in the figure. Neglect the ON-state drop across the power devices. Assume that the…
- Question 36 – Consider a vector u=2 x+ y+2 z, where x, y, z represent unit vectors along the coordinate axes x,y,z respectively. The directional derivative of the…
- Question 37 – The input x(t) and the output y(t) of a system are related as y(t)=e-t -te x()\,d,-<t<. The system is
- Question 38 – Consider the discrete-time systems T 1 and T 2 defined as follows: \T 1x\[n]=x[0]+x[1]++x[n] \T 2x\[n]=x[0]+12x[1]++12nx[n] Which one of the following…
- Question 39 – If the Z-transform of a finite-duration discrete-time signal x[n] is X(z), then the Z-transform of the signal y[n]=x[2n] is
- Question 40 – A 3-phase, 11 kV, 10 MVA synchronous generator is connected to an inductive load of power factor (3/2) via a lossless line with a per-phase inductive…
- Question 41 – For the three-bus lossless power network shown in the figure, the voltage magnitudes at all the buses are equal to 1 per unit (pu), and the…
- Question 42 – A BJT biasing circuit is shown in the figure, where V BE=0.7 V and =100. The Quiescent Point values of V CE and I C are respectively
- Question 43 – Let f(t) be a real-valued function whose second derivative is positive for -<t<. Which of the following statements is/are always true?
- Question 44 – Consider the function f(t)=((0,t))2 for -<t<, where (a,b) denotes the maximum of a and b. Which of the following statements is/are true?
- Question 45 – Which of the following differential equations is/are nonlinear?
- Question 46 – For a two-phase network, the phase voltages V p and V q are to be expressed in terms of sequence voltages V and V as bmatrixV p\ qbmatrix= SbmatrixV \…
- Question 47 – Which of the following options is/are correct for the Automatic Generation Control (AGC) and Automatic Voltage Regulator (AVR) installed with…
- Question 48 – Two passive two-port networks P and Q are connected as shown in the figure. The impedance matrix of network P is Z P=bmatrix40\ &60\ \\80\ &100\…
- Question 49 – For the circuit shown in the figure, the source frequency is 5000 rad/sec. The mutual inductance between the magnetically coupled inductors is 5 mH…
- Question 50 – In the circuit shown, Z 1=50-90\ and Z 2=200-30\ . It is supplied by a three phase 400 V source with the phase sequence being R-Y-B. Assume the watt…
- Question 51 – In the (x,y,z) coordinate system, three point-charges Q, Q, and Q are located in free space at (-1,0,0), (1,0,0), and (0,-1,0), respectively. The…
- Question 52 – The given equation represents a magnetic field strength H(r,,) in the spherical coordinate system, in free space. Here, r and represent the unit…
- Question 53 – If the energy of a continuous-time signal x(t) is E and the energy of the signal 2x(2t-1) is cE, then c is (rounded off to 1 decimal place).
- Question 54 – A 3-phase star connected slip ring induction motor has the following parameters referred to the stator: R s=3\ ,\ X s=2\ ,\ X r'=2\ ,\ R r'=2.5\ The…
- Question 55 – A 5 kW, 220 V DC shunt motor has 0.5 Ω armature resistance including brushes. The motor draws a no-load current of 3 A. The field current is constant…
- Question 56 – The single line diagram of a lossless system is shown in the figure. The system is operating in steady-state at a stable equilibrium point with the…
- Question 57 – Consider the closed-loop system shown in the figure with G(s)=K(s2-2s+2)(s2+2s+5). The root locus for the closed-loop system is to be drawn for 0 K<.…
- Question 58 – Consider the stable closed-loop system shown in the figure. The asymptotic Bode magnitude plot of G(s) has a constant slope of -20 dB/decade at least…
- Question 59 – Consider the stable closed-loop system shown in the figure. The magnitude and phase values of the frequency response of G(s) are given in the table.…
- Question 60 – In the given circuit, the diodes are ideal. The current I through the diode D1 in milliamperes is (rounded off to two decimal places).
- Question 61 – A difference amplifier is shown in the figure. Assume the op-amp to be ideal. The CMRR (in dB) of the difference amplifier is (rounded off to 2…
- Question 62 – A single-phase half-controlled bridge converter supplies an inductive load with ripple free load current. The triggering angle of the converter is…
- Question 63 – A single-phase full bridge voltage source inverter (VSI) feeds a purely inductive load. The inverter output voltage is a square wave in 180 conduction…
- Question 64 – In the DC-DC converter shown in the figure, the current through the inductor is continuous. The switching frequency is 500 Hz. The voltage (V o)…
- Question 65 – A single-phase full-controlled thyristor converter bridge is used for regenerative braking of a separately excited DC motor with the following…