GATE 2020 EE – Previous Year Questions with Solutions
All 65 questions of GATE 2020 EE with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – This book, including all its chapters, interesting. The students as well as the instructor in agreement about it.
- Question 2 – People were prohibited their vehicles near the entrance of the main administrative building.
- Question 3 – Select the word that fits the analogy: Do : Undo :: Trust :
- Question 4 – Stock markets at the news of the coup.
- Question 5 – If P,Q,R,S are four individuals, how many teams of size exceeding one can be formed, with Q as a member?
- Question 6 – Non-performing Assets (NPAs) of a bank in India is defined as an asset, which remains unpaid by a borrower for a certain period of time in terms of…
- Question 7 – Select the next element of the series: Z, WV, RQP,
- Question 8 – In four-digit integer numbers from 1001 to 9999, the digit group "37" (in the same sequence) appears times.
- Question 9 – Given a semicircle with O as the centre, as shown in the figure, the ratio AC+CBAB is , where AC, CB and AB are chords.
- Question 10 – The revenue and expenditure of four different companies P, Q, R and S in 2015 are shown in the figure. If the revenue of company Q in 2015 was 20%…
- Question 11 – ax3+bx2+cx+d is a polynomial on real x over real coefficients a,b,c,d wherein a0. Which of the following statements is true?
- Question 12 – Which of the following is true for all possible non-zero choices of integers m,n;\ m n, or all possible non-zero choices of real numbers p,q;\ p q, as…
- Question 13 – Which of the following statements is true about the two sided Laplace transform?
- Question 14 – Consider a signal x[n]=(12)n 1[n], where 1[n]=0 if n<0, and 1[n]=1 if n0. The z-transform of x[n-k], k>0 is z-k1-12z-1 with region of convergence…
- Question 15 – The value of the following complex integral, with C representing the unit circle centered at origin in the counterclockwise sense, is: Cz2+1z2-2z\,dz
- Question 16 – x R and x A are, respectively, the rms and average values of x(t)=x(t-T), and similarly, y R and y A are, respectively, the rms and average values of…
- Question 17 – A three-phase cylindrical rotor synchronous generator has a synchronous reactance X s and a negligible armature resistance. The magnitude of per phase…
- Question 18 – A lossless transmission line with 0.2 pu reactance per phase uniformly distributed along the length of the line, connecting a generator bus to a load…
- Question 19 – Out of the following options, the most relevant information needed to specify the real power (P) at the PV buses in a load flow analysis is
- Question 20 – Consider a linear time-invariant system whose input r(t) and output y(t) are related by the following differential equation: d2y(t)dt2+4y(t)=6r(t) The…
- Question 21 – A single-phase, full-bridge diode rectifier fed from a 230 V, 50 Hz sinusoidal source supplies a series combination of finite resistance, R, and a…
- Question 22 – Thyristor T 1 is triggered at an angle (in degree), and T 2 at angle 180+, in each cycle of the sinusoidal input voltage. Assume both thyristors to be…
- Question 23 – Which of the options is an equivalent representation of the signal flow graph shown here?
- Question 24 – A common-source amplifier with a drain resistance, R D=4.7\ k, is powered using a 10 V power supply. Assuming that the transconductance, g m, is 520\…
- Question 25 – A sequence detector is designed to detect precisely 3 digital inputs, with overlapping sequences detectable. For the sequence (1,0,1) and input data…
- Question 26 – Consider the initial value problem below. The value of y at x=2, (rounded off to 3 decimal places) is . dydx=2x-y, y(0)=1
- Question 27 – A three-phase, 50 Hz, 4-pole induction motor runs at no-load with a slip of 1 %. With full load, the slip increases to 5 %. The % speed regulation of…
- Question 28 – Currents through ammeters A2 and A3 in the figure are 110 and 170, respectively. The reading of the ammeter A1 (rounded off to 3 decimal places) is A.
- Question 29 – The Thevenin equivalent voltage, V TH, in V (rounded off to 2 decimal places) of the network shown below, is .
- Question 30 – A double pulse measurement for an inductively loaded circuit controlled by the IGBT switch is carried out to evaluate the reverse recovery…
- Question 31 – A single-phase, 4 kVA, 200 V/100 V, 50 Hz transformer with laminated CRGO steel core has rated no-load loss of 450 W. When the high-voltage winding is…
- Question 32 – A single-phase inverter is fed from a 100 V dc source and is controlled using a quasi-square wave modulation scheme to produce an output waveform,…
- Question 33 – A single 50 Hz synchronous generator on droop control was delivering 100 MW power to a system. Due to increase in load, generator power had to be…
- Question 34 – Consider a negative unity feedback system with forward path transfer function G(s)=K(s+a)(s-b)(s+c), where K,a,b,c are positive real numbers. For a…
- Question 35 – The cross-section of a metal-oxide-semiconductor structure is shown schematically. Starting from an uncharged condition, a bias of +3 V is applied to…
- Question 36 – For real numbers, x and y, with y=3x2+3x+1, the maximum and minimum value of y for x[-2,0] are respectively,
- Question 37 – The vector function expressed by F= a x(5y-k 1z)+ a y(3z+k 2x)+ a z(k 3y-4x) represents a conservative field, where a x, a y, a z are unit vectors…
- Question 38 – A 250 V dc shunt motor has an armature resistance of 0.2\ and a field resistance of 100\ . When the motor is operated on no-load at rated voltage, it…
- Question 39 – Two buses, i and j, are connected with a transmission line of admittance Y, at the two ends of which there are ideal transformers with turns ratios as…
- Question 40 – Consider the diode circuit shown below. The diode, D, obeys the current-voltage characteristic I D=I s((V DnV T)-1), where n>1, V T>0, V D is the…
- Question 41 – A non-ideal diode is biased with a voltage of -0.03 V, and a diode current of I 1 is measured. The thermal voltage is 26 mV and the ideality factor…
- Question 42 – A benchtop dc power supply acts as an ideal 4 A current source as long as its terminal voltage is below 10 V. Beyond this point, it begins to behave…
- Question 43 – The static electric field inside a dielectric medium with relative permittivity, r=2.25, expressed in cylindrical coordinate system is given by the…
- Question 44 – Consider a permanent magnet dc (PMDC) motor which is initially at rest. At t=0, a dc voltage of 5 V is applied to the motor. Its speed monotonically…
- Question 45 – Which of the following options is correct for the system shown below?
- Question 46 – Consider a negative unity feedback system with the forward path transfer function s2+s+1s3+2s2+2s+K, where K is a positive real number. The value of K…
- Question 47 – Suppose for input x(t) a linear time-invariant system with impulse response h(t) produces output y(t), so that x(t)*h(t)=y(t). Further, if x(t) * h(t)…
- Question 48 – The causal realization of a system transfer function H(s) having poles at (2,-1), (-2,1) and zeroes at (2,1), (-2,-1) will be
- Question 49 – Which of the following options is true for a linear time-invariant discrete time system that obeys the difference equation: y[n]-ay[n-1]=b 0x[n]-b…
- Question 50 – Let a r, a and a z be unit vectors along r, and z directions, respectively in the cylindrical coordinate system. For the electric flux density given…
- Question 51 – A stable real linear time-invariant system with single pole at p, has a transfer function H(s)=s2+100s-p with a dc gain of 5. The smallest positive…
- Question 52 – The number of purely real elements in a lower triangular representation of the given 33 matrix, obtained through the given decomposition is .…
- Question 53 – The figure below shows the per-phase Open Circuit Characteristics (measured in V) and Short Circuit Characteristics (measured in A) of a 14 kVA, 400…
- Question 54 – Let a x and a y be unit vectors along x and y directions, respectively. A vector function is given by F= a xy- a yx The line integral of the above…
- Question 55 – A resistor and a capacitor are connected in series to a 10 V dc supply through a switch. The switch is closed at t=0, and the capacitor voltage is…
- Question 56 – A cylindrical rotor synchronous generator with constant real power output and constant terminal voltage is supplying 100 A current to a 0.9 lagging…
- Question 57 – Bus 1 with voltage magnitude V 1=1.1 pu is sending reactive power Q 12 towards bus 2 with voltage magnitude V 2=1 pu through a lossless transmission…
- Question 58 – Windings 'A', 'B' and 'C' have 20 turns each and are wound on the same iron core as shown, along with winding 'X' which has 2 turns. The figure shows…
- Question 59 – A cylindrical rotor generator has steady state synchronous reactance of 0.7 pu and subtransient reactance of 0.2 pu. It is operating at (1+j0) pu…
- Question 60 – In the dc-dc converter circuit shown, switch Q is switched at a frequency of 10 kHz with a duty ratio of 0.6. All components of the circuit are ideal…
- Question 61 – A single-phase, full-bridge, fully controlled thyristor rectifier feeds a load comprising a 10\ resistance in series with a very large inductance. The…
- Question 62 – A non-ideal Si-based pn junction diode is tested by sweeping the bias applied across its terminals from -5 V to +5 V. The effective thermal voltage, V…
- Question 63 – The temperature of the coolant oil bath for a transformer is monitored using the circuit shown. It contains a thermistor with a temperature-dependent…
- Question 64 – An 8085 microprocessor accesses two memory locations (2001H) and (2002H), that contain 8-bit numbers 98H and B1H, respectively. The following program…
- Question 65 – A conducting square loop of side length 1 m is placed at a distance of 1 m from a long straight wire carrying a current I=2 A as shown below. The…