GATE 2026 EC – Previous Year Questions with Solutions
All 65 questions of GATE 2026 EC with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – Among the following options, the antonym of the word ‘nocturnal’ is .
- Question 2 – The statements (S1), (S2), and (S3) pertain to the scores obtained by students in an exam. The maximum possible marks in the exam is 150. (S1) The…
- Question 3 – The figure below has exactly three intersecting line segments with a rectangular portion WXYZ missing. Which one of the following options P, Q, R, and…
- Question 4 – Real numbers y, p, and n (all greater than 1) satisfy ( p1/n y)( y1/n p) = 16, where the logarithms are taken to the bases p1/n and y1/n. The value of…
- Question 5 – The following observation is made about the scores obtained by 100 students in an exam: ‘For each student, there exists another student in the class…
- Question 6 – Each one of the following clues contains a keyword that is partially filled. Clue 1: Synonym of recognize (8 letters): D N T F Y. Clue 2: A story long…
- Question 7 – Three children P, Q, R and two grown-ups X, Y play a badminton doubles tournament. X and Y are parents to two of the children playing. The child of X…
- Question 8 – Let P k represent the perimeter of a square with sides of length k. The value of the expression P 1 + P 2 + P 3 + + P 10 is .
- Question 9 – The city of Atlantis was crafted by the God of the seas, Poseidon. It was made of alternating concentric circular rings of land (shaded) and water…
- Question 10 – If the text block ‘Ref Fig / 12 34’ (two lines) is transformed to ‘12 34 / Ref Fig’ with each line flipped upside-down (vertical mirror image), then…
- Question 11 – Consider the differential equation w = Aw, with w(t=0) = bmatrix1\\1bmatrix. If w(t) = etu x + e-2tu y be the solution to the equation where u x and u…
- Question 12 – A surface is given by z2 = 2x2 - y2 and n and - n are unit normal vectors to the surface at the point P = i + 2\, k. Which of the following vectors…
- Question 13 – The Laplace Transform of the signal x(t) = u(t-2) * (t\,u(t)) is given by which of the following expressions? [“*” represents convolution operator]
- Question 14 – Consider carrier transport in a Zener diode in the breakdown region. Which is the dominant transport mechanism for current flow in this case?
- Question 15 – Two analog signals x 1(t) and x 2(t) (t in second), are sampled at a rate F s = 40 Hz, where x 1(t)=(20 t),\, t0, and x 2(t)=(100 t),\, t0. The first…
- Question 16 – The response of a discrete time system y[n] obeys the following relation: y[n]=56 y[n-1]-16 y[n-2]+x[n]. The input to the system is x[n]=[n]-13[n-1].…
- Question 17 – The ideal OP-AMP circuit shown in the Figure produces output voltage V o = x when the Switch, S, is open. Which of the options represents the output…
- Question 18 – Consider the circuit shown in the Figure with V i = 3 V and V CC = 12 V. Assume V BE=0.7 V and dc=99 for the BJT. Which of the following options is…
- Question 19 – A control system is shown in the Figure. Which option represents the correct transfer function of the system?
- Question 20 – In the circuit shown in the Figure, A and B are logic inputs and Y is the logic output. Which of the following logic operations is realized by the…
- Question 21 – Consider the Friis’ transmission equation P R=(P TG TG R2)/(4 D)2, where P R and P T are the received and the transmitted powers, respectively. G T…
- Question 22 – Consider a discrete memoryless source with an alphabet of four source symbols. s(t) is a multi-level (-1, 0, +1, +2) signal representing a long…
- Question 23 – The relation between the input current (I) and the output voltage (V) of a circuit is governed by the equation: CdVdt=I(t)-m(t). The circuit is…
- Question 24 – The electric field of a monochromatic plane wave travelling in a lossless isotropic and homogenous medium is given by E(z,t)=E 0[ x( t-kz)+ y( t-kz)]…
- Question 25 – Consider a p-n junction diode when it is forward biased with 2 V. Which of the following is/are the correct magnitude(s) of the energy difference…
- Question 26 – Consider the matrix M=bmatrix2&1&1\\1&3&0\\-1&a&bbmatrix. Which of the following options is/are TRUE if (M)0?
- Question 27 – A binary ripple counter is designed to count (0) 10 to (64) 10. Which of the following is/are the number of flip-flops required to design the counter?
- Question 28 – Which option(s) represents/ represent the dielectric loss tangent of a substrate?
- Question 29 – Figure shows the output characteristics of two different Bipolar Junction Transistors (BJT), BJT 1 with magnitude of Early voltage V A1 , and BJT 2…
- Question 30 – The output voltage V o (in Volt) for the network given in the Figure is . (rounded off to two decimal places)
- Question 31 – Consider the circuit shown in the Figure, where the input v i(t) is in Volt. The average power (in mW) dissipated in the load resistance of 1 kΩ at…
- Question 32 – A wireless digital transmission scheme is using 16-QAM over an additive white Gaussian noise channel and a maximum-likelihood receiver. Consider the…
- Question 33 – The cutoff frequency (in GHz) for the dominant TE 10 mode of an air-filled rectangular waveguide of inner dimension 0.28 inch 0.14 inch is . (rounded…
- Question 34 – For a lossless passive two-port network, S 11 and S 21 intersect at –3 dB. For a lossy passive two-port network, S 11 and S 21 intersect at –4 dB. The…
- Question 35 – The negative edge triggered JK flip-flop in the Figure has J and K inputs tied to Logic High and a square wave of 10 cycles/second is applied to its…
- Question 36 – Consider the two series, S A and S B, where S A= n=1n22n and S B=1+12+18+116+164+1128+1512+. Which of the following statements is correct for the two…
- Question 37 – The continuous time signal x(t) is real, periodic with period T and satisfies the Dirichlet conditions. The Fourier series representation of x(t)= -a…
- Question 38 – Let X, N, Y and Z be random variables. The variables X and N are independent of each other. X is uniformly distributed between -1 and 1; N follows…
- Question 39 – In the given circuit, L=1 μH and C=1 μF. The phasor diagram for I C and I L is also shown. Assume that the phase ( 1+ 2) is 90° at a frequency of…
- Question 40 – For the control system shown in the Figure, the transfer function of a plant, G(s)=1(s+1)(s+2) is connected in cascade with a compensator C(s)=K(s+),…
- Question 41 – The state and output equations for a control system are: x=bmatrix-4&-1.5\\4&0bmatrixx+bmatrix2\\0bmatrixu, y=[1.5\ \ 0.625]\,x. Which of the…
- Question 42 – The address of the first location of a 256 kilo byte (KB) memory is (2500) H. Choose the correct address of the last location of the memory.
- Question 43 – Consider a real signal x(t), -<t<, such that x(t)=0 for t<0, x(t)=2 for 0 t<1 and x(t)=0 for t1. Let E[x(t)]= -[x(t)]2dt. Which of the following…
- Question 44 – A QPSK modulated signal from an additive white Gaussian noise (AWGN) channel is received with an E b/N o=8.4 dB at the input of a coherent QPSK…
- Question 45 – What is the 10's complement of (47) 10?
- Question 46 – Consider a real baseband signal x(t)=e-2t, for t (in seconds) 0. If 99% of energy of x(t) lies within B Hz, then which of the following options is…
- Question 47 – Consider the discrete time system (S) with input x[n] and output y[n] as shown in the Figure. The two sub-systems represented by their impulse…
- Question 48 – A Boolean function, f(x,y,z) with x as MSB and z as LSB is realized by 4:1 multiplexer (MUX) with select lines, S 1 and S 0 (S 1 is MSB, S 0 is LSB)…
- Question 49 – A shift-left Shift Register (SR) and a D flip-flop are connected to a synchronized clock as shown in the Figure. Assume that the SR and D flip-flops…
- Question 50 – A small signal source, V i(t)=A(105t)+B(107t) is applied to a BJT circuit as shown in the Figure. Assume zero source resistance, V BE=0.7 V, dc=99,…
- Question 51 – Consider the two-port network as shown in the Figure. Which of the following options provides the correct set of values of A, B, C and D parameters?
- Question 52 – A complex load (in Ω) is represented as L=0.530 on the Smith chart. A co-axial cable with a characteristic impedance of 50 Ω is connected to the load.…
- Question 53 – A circuit using an ideal OP-AMP is shown in the Figure. Which of the following options gives the correct value of the current I X?
- Question 54 – Consider an LED based on a direct bandgap semiconductor material with energy bandgap 1.3 eV. Given: Plank’s constant, h=6.6310-34 J s and speed of…
- Question 55 – Let the relevant bandwidth (B) of a digital communication system be 1 MHz and kT=-174 dBm/Hz, where k is Boltzmann’s constant and ‘T’ is equivalent…
- Question 56 – Consider the four-variable Boolean function, f(w,x,y,z)= m(0,2,5,7,8,10,13,14,15) with ‘w’ as MSB and ‘z’ as LSB. Which of the following expressions…
- Question 57 – Consider a real, narrowband signal x(t)=A(t)[2 f ct+(t)] where the maximum frequency components of A(t) and (t) are f M and f c\,(=1000f M),…
- Question 58 – Let x 1(t)=(2 nt) and x 2(t)=2(4 nt) represent two sinusoids for a positive integer n and -<t<. Which of the following statements about x 1(t) and x…
- Question 59 – Consider the unity negative feedback control system shown in the Figure. The value of gain K\,(>0) at which the given system will remain marginally…
- Question 60 – An n-channel MOSFET is connected as shown in the Figure. Assume V TH=1 V, V DD=5 V, and C ox(W/L)=2 mA V-2 and neglect channel length modulation…
- Question 61 – Consider the square region R in the X-Y plane as shown with the dark shading in the Figure. The value of R(x2+y2-1)\,dx\,dy is . (rounded off to two…
- Question 62 – Consider an ideal OP-AMP circuit as shown in the Figure. The resistances R 1=R 2=R 3=R 4=50 kΩ. The magnitude of the closed loop gain is . (rounded…
- Question 63 – The average bit error rate at the input of a (7, 4, 1) Hamming decoder is 0.10. The probability that the decoder will fail to decode a received word…
- Question 64 – Consider that the concentration of electrons in a semiconductor bar varies linearly from 21017 cm-3 at x=1 μm to 11016 cm-3 at x=4 μm along the…
- Question 65 – Consider the ideal diodes D1 and D2 as shown in the Figure with cut-in voltage V =0 Volt and v i(t) is in Volt. The maximum voltage (Volt) of the…