GATE 2019 EE – Previous Year Questions with Solutions
All 65 questions of GATE 2019 EE with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – I am not sure if the bus that has been booked will be able to all the students.
- Question 2 – The passengers were angry the airline staff about the delay.
- Question 3 – The missing number in the given sequence 343, 1331, , 4913 is
- Question 4 – It takes two hours for a person X to mow the lawn. Y can mow the same lawn in four hours. How long (in minutes) will it take X and Y, if they work…
- Question 5 – Newspapers are a constant source of delight and recreation for me. The trouble is that I read many of them.
- Question 6 – How many integers are there between 100 and 1000 all of whose digits are even?
- Question 7 – The ratio of the number of boys and girls who participated in an examination is 4:3. The total percentage of candidates who passed the examination is…
- Question 8 – An award-winning study by a group of researchers suggests that men are as prone to buying on impulse as women but women feel more guilty about…
- Question 9 – Given two sets X=\1,2,3\ and Y=\2,3,4\, we construct a set Z of all possible fractions where the numerators belong to set X and the denominators…
- Question 10 – Consider five people – Mita, Ganga, Rekha, Lakshmi and Sana. Ganga is taller than both Rekha and Lakshmi. Lakshmi is taller than Sana. Mita is taller…
- Question 11 – The inverse Laplace transform of H(s)=s+3s2+2s+1 for t0 is
- Question 12 – M is a 22 matrix with eigenvalues 4 and 9. The eigenvalues of M2 are
- Question 13 – The partial differential equation 2u t2-c2(2u x2+2u y2)=0;where c0 is known as
- Question 14 – Which one of the following functions is analytic in the region z 1?
- Question 15 – The mean-square of a zero-mean random process is kTC, where k is Boltzmann's constant, T is the absolute temperature, and C is a capacitance. The…
- Question 16 – A system transfer function is H(s)=a 1s2+b 1s+c 1a 2s2+b 2s+c 2. If a 1=b 1=0, and all other coefficients are positive, the transfer function…
- Question 17 – The symbols a and T represent positive quantities, and u(t) is the unit step function. Which one of the following impulse responses is NOT the output…
- Question 18 – A 5 kVA, 50 V/100 V, single-phase transformer has a secondary terminal voltage of 95 V when loaded. The regulation of the transformer is
- Question 19 – A six-pulse thyristor bridge rectifier is connected to a balanced three-phase, 50 Hz AC source. Assuming that the DC output current of the rectifier…
- Question 20 – The parameter of an equivalent circuit of a three-phase induction motor affected by reducing the rms value of the supply voltage at the rated…
- Question 21 – A three-phase synchronous motor draws 200 A from the line at unity power factor at rated load. Considering the same line voltage and load, the line…
- Question 22 – In the circuit shown below, the switch is closed at t=0. The value of in degrees which will give the maximum value of DC offset of the current at the…
- Question 23 – The output response of a system is denoted as y(t), and its Laplace transform is given by Y(s)=10s(s2+s+1002). The steady state value of y(t) is
- Question 24 – The open loop transfer function of a unity feedback system is given by G(s)= e-0.25ss. In G(s) plane, the Nyquist plot of G(s) passes through the…
- Question 25 – The characteristic equation of a linear time-invariant (LTI) system is given by (s)=s4+3s3+3s2+s+k=0. The system is BIBO stable if
- Question 26 – Given, V gs is the gate-source voltage, V ds is the drain source voltage, and V th is the threshold voltage of an enhancement type NMOS transistor,…
- Question 27 – A current controlled current source (CCCS) has an input impedance of 10\ and output impedance of 100\ k. When this CCCS is used in a negative feedback…
- Question 28 – If f=2x3+3y2+4z, the value of line integral Cgradf d r evaluated over contour C formed by the segments (-3,-3,2)(2,-3,2)(2,6,2)(2,6,-1) is .
- Question 29 – The current I flowing in the circuit shown below is amperes (round off to one decimal place).
- Question 30 – A co-axial cylindrical capacitor in Figure (i) has dielectric with relative permittivity r1=2. When one-fourth portion of the dielectric is replaced…
- Question 31 – The Y bus matrix of a two-bus power system having two identical parallel lines connected between them in pu is given as Y…
- Question 32 – Five alternators each rated 5 MVA, 13.2 kV with 25% of reactance on its own base are connected in parallel to a busbar. The short-circuit level in MVA…
- Question 33 – The total impedance of the secondary winding, leads, and burden of a 5 A CT is 0.01\ . If the fault current is 20 times the rated primary current of…
- Question 34 – The rank of the matrix M=bmatrix0&1&1\\1&0&1\\1&1&0bmatrix is .
- Question 35 – The output voltage of a single-phase full bridge voltage source inverter is controlled by unipolar PWM with one pulse per half cycle. For the…
- Question 36 – Consider a 22 matrix M=[v 1\ \ v 2], where, v 1 and v 2 are the column vectors. Suppose M-1=bmatrixu 1T\ 2Tbmatrix, where u 1T and u 2T are the row…
- Question 37 – The closed loop line integral z =5z3+z2+8z+2\,dz evaluated counter-clockwise, is
- Question 38 – A periodic function f(t), with a period of 2, is represented as its Fourier series, f(t)=a 0+ n=1a n nt+ n=1b n nt. If f(t)=casesA t,&0…
- Question 39 – The asymptotic Bode magnitude plot of a minimum phase transfer function G(s) is shown below. Consider the following two statements. Statement I:…
- Question 40 – The transfer function of a phase lead compensator is given by D(s)=3(s+13T)(s+1T) The frequency (in rad/sec), at which D(j) is maximum, is
- Question 41 – Consider a state-variable model of a system bmatrix x 1\\ x 2bmatrix=bmatrix0&1\\-&-2bmatrixbmatrixx 1\ 2bmatrix+bmatrix0\\bmatrixr, y=[1\ \…
- Question 42 – A moving coil instrument having a resistance of 10\ , gives a full-scale deflection when the current is 10 mA. What should be the value of the series…
- Question 43 – The enhancement type MOSFET in the circuit below operates according to the square law. nC ox=100\ A/V2, the threshold voltage (V T) is 500 mV. Ignore…
- Question 44 – In the circuit below, the operational amplifier is ideal. If V 1=10 mV and V 2=50 mV, the output voltage (V out) is
- Question 45 – The output expression for the Karnaugh map shown below is
- Question 46 – In the circuit shown below, X and Y are digital inputs, and Z is a digital output. The equivalent circuit is a
- Question 47 – A DC-DC buck converter operates in continuous conduction mode. It has 48 V input voltage, and it feeds a resistive load of 24\ . The switching…
- Question 48 – The line currents of a three-phase four wire system are square waves with amplitude of 100 A. These three currents are phase shifted by 120 with…
- Question 49 – If A=2x i+3y j+4z k and u=x2+y2+z2, then div(u A) at (1,1,1) is .
- Question 50 – The probability of a resistor being defective is 0.02. There are 50 such resistors in a circuit. The probability of two or more defective resistors in…
- Question 51 – A 0.1 F capacitor charged to 100 V is discharged through a 1\ k resistor. The time in ms (round off to two decimal places) required for the voltage…
- Question 52 – The current I flowing in the circuit shown below in amperes is .
- Question 53 – The voltage across and the current through a load are expressed as follows v(t)=-170(377t-6) V, i(t)=8(377t+6) A. The average power in watts (round…
- Question 54 – The magnetic circuit shown below has uniform cross-sectional area and air gap of 0.2 cm. The mean path length of the core is 40 cm. Assume that…
- Question 55 – A single-phase transformer of rating 25 kVA, supplies a 12 kW load at power factor of 0.6 lagging. The additional load at unity power factor in kW…
- Question 56 – A 220 V DC shunt motor takes 3 A at no-load. It draws 25 A when running at full-load at 1500 rpm. The armature and shunt resistances are 0.5\ and 220\…
- Question 57 – A delta-connected, 3.7 kW, 400 V(line), three-phase, 4-pole, 50-Hz squirrel-cage induction motor has the following equivalent circuit parameters per…
- Question 58 – A 220 V (line), three-phase, Y-connected synchronous motor has a synchronous impedance of (0.25+j2.5)\ /phase. The motor draws the rated current of 10…
- Question 59 – A three-phase 50 Hz, 400 kV transmission line is 300 km long. The line inductance is 1 mH/km per phase, and the capacitance is 0.01 F/km per phase.…
- Question 60 – A 30 kV, 50 Hz, 50 MVA generator has the positive, negative, and zero sequence reactances of 0.25 pu, 0.15 pu, and 0.05 pu, respectively. The neutral…
- Question 61 – In the single machine infinite bus system shown below, the generator is delivering the real power of 0.8 pu at 0.8 power factor lagging to the…
- Question 62 – In a 132 kV system, the series inductance up to the point of circuit breaker location is 50 mH. The shunt capacitance at the circuit breaker terminal…
- Question 63 – In a DC-DC boost converter, the duty ratio is controlled to regulate the output voltage at 48 V. The input DC voltage is 24 V. The output power is 120…
- Question 64 – A fully-controlled three-phase bridge converter is working from a 415 V, 50 Hz AC supply. It is supplying constant current of 100 A at 400 V to a DC…
- Question 65 – A single-phase fully-controlled thyristor converter is used to obtain an average voltage of 180 V with 10 A constant current to feed a DC load. It is…