GATE 2021 EE – Previous Year Questions with Solutions
All 65 questions of GATE 2021 EE with answers and explanations. Read each question, then practise it by topic or as a full paper.
Practise this paper in The GATE Grind →
- Question 1 – The people were at the demonstration were from all sections of society.
- Question 2 – A transparent square sheet shown above is folded along the dotted line. The folded sheet will look like .
- Question 3 – For a regular polygon having 10 sides, the interior angle between the sides of the polygon, in degrees, is:
- Question 4 – Which one of the following numbers is exactly divisible by (1113+1)?
- Question 5 – *Oasis* is to *sand* as *island* is to . Which one of the following options maintains a similar logical relation in the above sentence?
- Question 6 – The importance of sleep is often overlooked by students when they are preparing for exams. Research has consistently shown that sleep deprivation…
- Question 7 – In the figure shown above, each inside square is formed by joining the midpoints of the sides of the next larger square. The area of the smallest…
- Question 8 – Let X be a continuous random variable denoting the temperature measured. The range of temperature is [0,100] degree Celsius and let the probability…
- Question 9 – The number of students passing or failing in an exam for a particular subject are presented in the bar chart above. Students who pass the exam cannot…
- Question 10 – Seven cars P, Q, R, S, T, U and V are parked in a row not necessarily in that order. The cars T and U should be parked next to each other. The cars S…
- Question 11 – Let p and q be real numbers such that p2+q2=1. The eigenvalues of the matrix bmatrixp&q\&-pbmatrix are
- Question 12 – Let p(z)=z3+(1+j)z2+(2+j)z+3, where z is a complex number. Which one of the following is true?
- Question 13 – Let f(x) be a real-valued function such that f'(x 0)=0 for some x 0(0,1), and f''(x)>0 for all x(0,1). Then f(x) has
- Question 14 – For the network shown, the equivalent Thevenin voltage and Thevenin impedance as seen across terminals 'ab' is
- Question 15 – Which one of the following vector functions represents a magnetic field B? ( x, y, and z are unit vectors along x-axis, y-axis, and z-axis,…
- Question 16 – If the input x(t) and output y(t) of a system are related as y(t)=(0,x(t)), then the system is
- Question 17 – Two discrete-time linear time-invariant systems with impulse responses h 1[n]=[n-1]+[n+1] and h 2[n]=[n]+[n-1] are connected in cascade, where [n] is…
- Question 18 – Consider the table given: Constructional feature Machine type Mitigation --- --- --- (P) Damper bars (S) Induction motor (X) Hunting (Q) Skewed rotor…
- Question 19 – Consider a power system consisting of N number of buses. Buses in this power system are categorized into slack bus, PV buses and PQ buses for load…
- Question 20 – Two generators have cost functions F 1 and F 2. Their incremental-cost characteristics are dF 1dP 1=40+0.2P 1 dF 2dP 2=32+0.4P 2 They need to deliver…
- Question 21 – For the closed-loop system shown, the transfer function E(s)R(s) is
- Question 22 – Inductance is measured by
- Question 23 – Suppose the circles x2+y2=1 and (x-1)2+(y-1)2=r2 intersect each other orthogonally at the point (u,v). Then u+v= .
- Question 24 – In the given circuit, the value of capacitor C that makes current I=0 is F.
- Question 25 – Two single-core power cables have total conductor resistances of 0.7\ and 0.5\ , respectively, and their insulation resistances (between core and…
- Question 26 – In the given circuit, for voltage V y to be zero, the value of should be . (Round off to 2 decimal places).
- Question 27 – A 1 C point charge is held at the origin of a cartesian coordinate system. If a second point charge of 10 C is moved from (0,10,0) to (5,5,5) and…
- Question 28 – The power input to a 500 V, 50 Hz, 6-pole, 3-phase induction motor running at 975 RPM is 40 kW. The total stator losses are 1 kW. If the total…
- Question 29 – An alternator with internal voltage of 1 1 p.u and synchronous reactance of 0.4 p.u is connected through a transmission line of reactance 0.1 p.u to a…
- Question 30 – The Bode magnitude plot for the transfer function V o(s)V i(s) of the circuit is as shown. The value of R is . (Round off to 2 decimal places.)
- Question 31 – A signal generator having a source resistance of 50\ is set to generate a 1 kHz sinewave. Open circuit terminal voltage is 10 V peak-to-peak.…
- Question 32 – A 16-bit synchronous binary up-counter is clocked with a frequency f CLK. The two most significant bits are OR-ed together to form an output Y.…
- Question 33 – In the BJT circuit shown, beta of the PNP transistor is 100. Assume V BE=-0.7 V. The voltage across R C will be 5 V when R 2 is k. (Round off to 2…
- Question 34 – In the circuit shown, the input V i is a sinusoidal AC voltage having an RMS value of 230 V20\%. The worst-case peak-inverse voltage seen across any…
- Question 35 – In the circuit shown, a 5 V Zener diode is used to regulate the voltage across load R 0. The input is an unregulated DC voltage with a minimum value…
- Question 36 – In the open interval (0,1), the polynomial p(x)=x4-4x3+2 has
- Question 37 – Suppose the probability that a coin toss shows "head" is p, where 0<p<1. The coin is tossed repeatedly until the first "head" appears. The expected…
- Question 38 – Let (-1-j), (3-j), (3+j) and (-1+j) be the vertices of a rectangle C in the complex plane. Assuming that C is traversed in counter-clockwise…
- Question 39 – In the circuit, switch 'S' is in the closed position for a very long time. If the switch is opened at time t=0, then i L(t) in amperes, for t0 is
- Question 40 – The input impedance, Z in(s), for the network shown is
- Question 41 – The causal signal with z-transform z2(z-a)-2 is (u[n] is the unit step signal)
- Question 42 – Let f(t) be an even function, i.e. f(-t)=f(t) for all t. Let the Fourier transform of f(t) be defined as F()= -f(t)e-j tdt. Suppose dF()d=- F() for…
- Question 43 – In a single-phase transformer, the total iron loss is 2500 W at nominal voltage of 440 V and frequency 50 Hz. The total iron loss is 850 W at 220 V…
- Question 44 – In the figure shown, self-impedances of the two transmission lines are 1.5j p.u each, and Z m=0.5j p.u is the mutual impedance. Bus voltages shown in…
- Question 45 – A 3-Bus network is shown. Consider generators as ideal voltage sources. If rows 1, 2 and 3 of the Y Bus matrix correspond to Bus 1, 2 and 3,…
- Question 46 – Suppose I A, I B and I C are a set of unbalanced current phasors in a three-phase system. The phase-B zero-sequence current I B0=0.10 p.u. If phase-A…
- Question 47 – A counter is constructed with three D flip-flops. The input-output pairs are named (D 0,Q 0), (D 1,Q 1), and (D 2,Q 2), where the subscript 0 denotes…
- Question 48 – Let A be a 1010 matrix such that A5 is a null matrix, and let I be the 1010 identity matrix. The determinant of A+I is .
- Question 49 – A three-phase balanced voltage is applied to the load shown. The phase sequence is RYB. The ratio I B I R is .
- Question 50 – In the given circuit, for maximum power to be delivered to R L, its value should be . (Round off to 2 decimal places.)
- Question 51 – One coulomb of point charge moving with a uniform velocity 10 x m/s enters the region x0 having a magnetic flux density B=(10y x+10x y+10 z) T. The…
- Question 52 – Consider a large parallel plate capacitor. The gap d between the two plates is filled entirely with a dielectric slab of relative permittivity 5. The…
- Question 53 – Consider a continuous-time signal x(t) defined by x(t)=0 for t >1, and x(t)=1- t for t 1. Let the Fourier transform of x(t) be defined as X()=…
- Question 54 – A belt-driven DC shunt generator running at 300 RPM delivers 100 kW to a 200 V DC grid. It continues to run as a motor when the belt breaks, taking 10…
- Question 55 – An 8-pole, 50 Hz, three-phase, slip-ring induction motor has an effective rotor resistance of 0.08\ per phase. Its speed at maximum torque is 650 RPM.…
- Question 56 – Consider a closed-loop system as shown. G p(s)=14.4s(1+0.1s) is the plant transfer function and G c(s)=1 is the compensator. For a unit-step input,…
- Question 57 – In the given figure, plant G p(s)=2.2(1+0.1s)(1+0.4s)(1+1.2s) and compensator G c(s)=K(1+T 1s1+T 2s). The external disturbance input is D(s). It is…
- Question 58 – The waveform shown in solid line is obtained by clipping a full-wave rectified sinusoid (shown dashed). The ratio of the RMS value of the full-wave…
- Question 59 – The state space representation of a first-order system is given as x=-x+u y=x where, x is the state variable, u is the control input and y is the…
- Question 60 – An air-core radio-frequency transformer as shown has a primary winding and a secondary winding. The output voltage waveform is as shown. The mutual…
- Question 61 – A 100 Hz square wave, switching between 0 V and 5 V, is applied to a CR high-pass filter circuit as shown. The output voltage waveform across the…
- Question 62 – A CMOS Schmitt-trigger inverter has a low output level of 0 V and a high output level of 5 V. It has input thresholds of 1.6 V and 2.4 V. The input…
- Question 63 – Consider the boost converter shown. Switch Q is operating at 25 kHz with a duty cycle of 0.6. Assume the diode and switch to be ideal. Under…
- Question 64 – Consider the buck-boost converter shown. Switch Q is operating at 25 kHz and 0.75 duty-cycle. Assume diode and switch to be ideal. Under steady-state…
- Question 65 – A single-phase full-bridge inverter fed by a 325 V DC produces a symmetric quasi-square waveform across 'ab' as shown. To achieve a modulation index…