GATE 2023 EC – Previous Year Questions with Solutions
All 65 questions of GATE 2023 EC with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – “I cannot support this proposal. My will not permit it.”
- Question 2 – Courts : :: Parliament : Legislature (By word meaning)
- Question 3 – What is the smallest number with distinct digits whose digits add up to 45?
- Question 4 – In a class of 100 students, (i) there are 30 students who neither like romantic movies nor comedy movies, (ii) the number of students who like…
- Question 5 – How many rectangles are present in the given figure?
- Question 6 – Forestland is a planet inhabited by different kinds of creatures. Among other creatures, it is populated by animals all of whom are ferocious. There…
- Question 7 – Which one of the following options represents the given graph?
- Question 8 – Which one of the following options can be inferred from the given passage alone? “When I was a kid, I was partial to stories about other worlds and…
- Question 9 – Out of 1000 individuals in a town, 100 unidentified individuals are covid positive. Due to lack of adequate covid-testing kits, the health authorities…
- Question 10 – A 100 cm × 32 cm rectangular sheet is folded 5 times. Each time the sheet is folded, the long edge aligns with its opposite side. Eventually, the…
- Question 11 – Let v 1=bmatrix1\\2\\0bmatrix and v 2=bmatrix2\\1\\3bmatrix be two vectors. The value of the coefficient in the expression v 1= v 2+ e, which…
- Question 12 – The rate of increase, of a scalar field f(x,y,z)=xyz, in the direction v=(2,1,2) at a point (0,2,1) is
- Question 13 – Let w4=16j. Which of the following cannot be a value of w?
- Question 14 – The value of the contour integral C(z+2z2+2z+2)dz, where the contour C is \z: z+1-32j =1\, taken in the counter clockwise direction, is
- Question 15 – Let the sets of eigenvalues and eigenvectors of a matrix B be \ k1 k n\ and \ v k1 k n\, respectively. For any invertible matrix P, the sets of…
- Question 16 – In a semiconductor, if the Fermi energy level lies in the conduction band, then the semiconductor is known as
- Question 17 – For an intrinsic semiconductor at temperature T=0\ K, which of the following statement is true?
- Question 18 – A series RLC circuit has a quality factor Q of 1000 at a center frequency of 106 rad/s. The possible values of R, L and C are
- Question 19 – For a MOS capacitor, V fb and V t are the flat-band voltage and the threshold voltage, respectively. The variation of the depletion width (W dep) for…
- Question 20 – Consider a narrow band signal, propagating in a lossless dielectric medium ( r=4,\ r=1), with phase velocity v p and group velocity v g. Which of the…
- Question 21 – In the circuit shown below, V 1 and V 2 are bias voltages. Based on input and output impedances, the circuit behaves as a
- Question 22 – A cascade of common-source amplifiers in a unity gain feedback configuration oscillates when
- Question 23 – In the circuit shown below, P and Q are the inputs. The logical function realized by the circuit shown below is
- Question 24 – The synchronous sequential circuit shown below works at a clock frequency of 1 GHz. The throughput, in Mbits/s, and the latency, in ns, respectively,…
- Question 25 – The open loop transfer function of a unity negative feedback system is G(s)=ks(1+sT 1)(1+sT 2), where k, T 1 and T 2 are positive constants. The phase…
- Question 26 – Consider a system with input x(t) and output y(t)=x(et). The system is
- Question 27 – Let m(t) be a strictly band-limited signal with bandwidth B and energy E. Assuming 0=10B, the energy in the signal m(t) 0t is
- Question 28 – The Fourier transform X() of x(t)=e-t2 is Note: -e-y2dy=
- Question 29 – In the table shown below, match the signal type with its spectral characteristics. Signal type Spectral characteristics (i) Continuous, aperiodic (a)…
- Question 30 – For a real signal, which of the following is/are valid power spectral density/densities?
- Question 31 – The signal-to-noise ratio (SNR) of an ADC with a full-scale sinusoidal input is given to be 61.96 dB. The resolution of the ADC is bits (rounded off…
- Question 32 – In the circuit shown below, the current i flowing through the 200 Ω resistor is mA (rounded off to two decimal places).
- Question 33 – For the two port network shown below, the [Y]-parameters is given as [Y]=1100bmatrix2&-1\\-1&43bmatrixS. The value of load impedance Z L, in Ω, for…
- Question 34 – For the circuit shown below, the propagation delay of each NAND gate is 1 ns. The critical path delay, in ns, is (rounded off to the nearest integer).
- Question 35 – In the circuit shown below, switch S was closed for a long time. If the switch is opened at t=0, the maximum magnitude of the voltage V R, in volts,…
- Question 36 – A random variable X, distributed normally as N(0,1), undergoes the transformation Y=h(X), given in the figure. The form of the probability density…
- Question 37 – The value of the line integral PQ(z2\,dx+3y2\,dy+2xz\,dz) along the straight line joining the points P(1,1,2) and Q(2,3,1) is
- Question 38 – Let x be an n1 real column vector with length l= xT x. The trace of the matrix P= x xT is
- Question 39 – The V OUTV IN of the circuit shown below is
- Question 40 – In the circuit shown below, D 1 and D 2 are silicon diodes with cut-in voltage of 0.7 V. V IN and V OUT are input and output voltages in volts. The…
- Question 41 – A closed loop system is shown in the figure where k>0 and >0. The steady state error due to a ramp input (R(s)=/s2) is given by
- Question 42 – In the following block diagram, R(s) and D(s) are two inputs. The output Y(s) is expressed as Y(s)=G 1(s)R(s)+G 2(s)D(s). G 1(s) and G 2(s) are given…
- Question 43 – The state equation of a second order system is x(t)=A x(t), with x(0) the initial condition. Suppose 1 and 2 are two distinct eigenvalues of A and v 1…
- Question 44 – The switch S 1 was closed and S 2 was open for a long time. At t=0, switch S 1 is opened and S 2 is closed, simultaneously. The value of i c(0+), in…
- Question 45 – Let a frequency modulated (FM) signal x(t)=A( ct+k f -tm()d), where m(t) is a message signal of bandwidth W. It is passed through a non-linear system…
- Question 46 – The h-parameters of a two port network are shown below. The condition for the maximum small signal voltage gain V outV s is
- Question 47 – Consider a discrete-time periodic signal with period N=5. Let the discrete-time Fourier series (DTFS) representation be x[n]= k=04a kej2 kn5, where a…
- Question 48 – Let an input x[n] having discrete time Fourier transform X(ej)=1-e-j+2e-3j be passed through an LTI system. The frequency response of the LTI system…
- Question 49 – Let x(t)=10(10.5Wt) be passed through an LTI system having impulse response h(t)=( Wt t)210Wt. The output of the system is
- Question 50 – Let x 1(t) and x 2(t) be two band-limited signals having bandwidth B=4103 rad/s each. In the figure below, the Nyquist sampling frequency, in rad/s,…
- Question 51 – The S-parameters of a two port network is given as [S]=bmatrixS 11&S 12\ 21&S 22bmatrix with reference to Z 0. Two lossless transmission line sections…
- Question 52 – The standing wave ratio on a 50 Ω lossless transmission line terminated in an unknown load impedance is found to be 2.0. The distance between…
- Question 53 – The electric field of a plane electromagnetic wave is E= a xC 1x( t- z)+ a yC 1y( t- z+)V/m. Which of the following combination(s) will give rise to a…
- Question 54 – The following circuit(s) representing a lumped element equivalent of an infinitesimal section of a transmission line is/are
- Question 55 – The value of the integral Rxy\,dx\,dy over the region R, given in the figure, is (rounded off to the nearest integer).
- Question 56 – In an extrinsic semiconductor, the hole concentration is given to be 1.5n i, where n i is the intrinsic carrier concentration of 11010 cm-3. The ratio…
- Question 57 – The asymptotic magnitude Bode plot of a minimum phase system is shown in the figure. The transfer function of the system is G(s)=k(s+z)asb(s+p)c,…
- Question 58 – Let x 1(t)=u(t+1.5)-u(t-1.5) and x 2(t) is shown in the figure below. For y(t)=x 1(t)*x 2(t), the -y(t)\,dt is (rounded off to the nearest integer).
- Question 59 – Let X(t) be a white Gaussian noise with power spectral density 12 W/Hz. If X(t) is input to an LTI system with impulse response e-tu(t). The average…
- Question 60 – A transparent dielectric coating is applied to glass ( r=4,\ r=1) to eliminate the reflection of red light ( 0=0.75\ m). The minimum thickness of the…
- Question 61 – In a semiconductor device, the Fermi-energy level is 0.35 eV above the valence band energy. The effective density of states in the valence band is…
- Question 62 – A sample and hold circuit is implemented using a resistive switch and a capacitor with a time constant of 1 μs. The time for the sampling switch to…
- Question 63 – In a given sequential circuit, initial states are Q 1=1 and Q 2=0. For a clock frequency of 1 MHz, the frequency of signal Q 2 in kHz, is (rounded off…
- Question 64 – In the circuit below, the voltage V L is V (rounded off to two decimal places).
- Question 65 – The frequency of occurrence of 8 symbols (a-h) is shown in the table below. A symbol is chosen and it is determined by asking a series of “yes/no”…