GATE 2018 EE – Previous Year Questions with Solutions
All 65 questions of GATE 2018 EE with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – "Since you have gone off the , the sand is likely to damage the car." The words that best fill the blanks in the above sentence are
- Question 2 – "A common misconception among writers is that sentence structure mirrors thought; the more the structure, the more complicated the ideas." The word…
- Question 3 – The three roots of the equation f(x)=0 are x=\-2,0,3\. What are the three values of x for which f(x-3)=0?
- Question 4 – For what values of k given below is (k+2)2k-3 an integer?
- Question 5 – Functions F(a,b) and G(a,b) are defined as follows: F(a,b)=(a-b)2 and G(a,b)= a-b , where x represents the absolute value of x. What would be the…
- Question 6 – An e-mail password must contain three characters. The password has to contain one numeral from 0 to 9, one upper case and one lower case character…
- Question 7 – In a certain code, AMCF is written as EQGJ and NKUF is written as ROYJ. How will DHLP be written in that code?
- Question 8 – A class of twelve children has two more boys than girls. A group of three children are randomly picked from this class to accompany the teacher on a…
- Question 9 – A designer uses marbles of four different colours for his designs. The cost of each marble is the same, irrespective of the colour. The table below…
- Question 10 – P, Q, R and S crossed a lake in a boat that can hold a maximum of two persons, with only one set of oars. The following additional facts are…
- Question 11 – A single-phase 100 kVA, 1000 V / 100 V, 50 Hz transformer has a voltage drop of 5% across its series impedance at full load. Of this, 3% is due to…
- Question 12 – In a salient pole synchronous motor, the developed reluctance torque attains the maximum value when the load angle in electrical degrees is
- Question 13 – A single phase fully controlled rectifier is supplying a load with an anti-parallel diode as shown in the figure. All switches and diodes are ideal.…
- Question 14 – Four power semiconductor devices are shown in the figure along with their relevant terminals. The device(s) that can carry dc current continuously in…
- Question 15 – Two wattmeter method is used for measurement of power in a balanced three-phase load supplied from a balanced three-phase system. If one of the…
- Question 16 – Consider a lossy transmission line with V 1 and V 2 as the sending and receiving end voltages, respectively. Z and X are the series impedance and…
- Question 17 – The graph of a network has 8 nodes and 5 independent loops. The number of branches of the graph is
- Question 18 – In the figure, the voltages are v 1(t)=100( t), v 2(t)=100( t+/18) and v 3(t)=100( t+/36). The circuit is in sinusoidal steady state, and R L. P 1, P…
- Question 19 – Match the transfer functions of the second-order systems with the nature of the systems given below. P: 15s2+5s+15, Q: 25s2+10s+25, R: 35s2+18s+35 I:…
- Question 20 – A positive charge of 1 nC is placed at (0,0,0.2) where all dimensions are in metres. Consider the x-y plane to be a conducting ground plane. Take…
- Question 21 – Let f be a real-valued function of a real variable defined as f(x)=x2 for x0, and f(x)=-x2 for x<0. Which one of the following statements is true?
- Question 22 – The value of the directional derivative of the function (x,y,z)=xy2+yz2+zx2 at the point (2,-1,1) in the direction of the vector p= i+2 j+2 k is
- Question 23 – The value of the integral Cz+1z2-4\,dz in counter clockwise direction around a circle C of radius 1 with center at the point z=-2 is
- Question 24 – In the logic circuit shown in the figure, Y is given by
- Question 25 – The op-amp shown in the figure is ideal. The input impedance v ini in is given by
- Question 26 – A continuous-time input signal x(t) is an eigenfunction of an LTI system, if the output is
- Question 27 – Consider a non-singular 22 square matrix A. If trace( A)=4 and trace( A2)=5, the determinant of the matrix A is (up to 1 decimal place).
- Question 28 – Let f be a real-valued function of a real variable defined as f(x)=x-[x], where [x] denotes the largest integer less than or equal to x. The value of…
- Question 29 – In the two-port network shown, the h 11 parameter (where, h 11=V 1I 1, when V 2=0) in ohms is (up to 2 decimal places).
- Question 30 – The series impedance matrix of a short three-phase transmission line in phase coordinates is bmatrixZ s&Z m&Z m\ m&Z s&Z m\ m&Z m&Z sbmatrix. If the…
- Question 31 – The positive, negative and zero sequence impedances of a 125 MVA, three-phase, 15.5 kV, star-grounded generator are j0.1 pu, j0.05 pu and j0.01 pu…
- Question 32 – A 10001000 bus admittance matrix for an electric power system has 8000 non-zero elements. The minimum number of branches (transmission lines and…
- Question 33 – The waveform of the current drawn by a semi-converter from a sinusoidal AC voltage source is shown in the figure. If I 0=20 A, the rms value of…
- Question 34 – A separately excited dc motor has an armature resistance R a=0.05\ . The field excitation is kept constant. At an armature voltage of 100 V, the motor…
- Question 35 – Consider a unity feedback system with forward transfer function given by G(s)=1(s+1)(s+2). The steady-state error in the output of the system for a…
- Question 36 – A transformer with toroidal core of permeability is shown in the figure. Assuming uniform flux density across the circular core cross-section of…
- Question 37 – A 0-1 Ampere moving iron ammeter has an internal resistance of 50 m and inductance of 0.1 mH. A shunt coil is connected to extend its range to 0-10…
- Question 38 – The positive, negative and zero sequence impedances of a three phase generator are Z 1, Z 2 and Z 0 respectively. For a line-to-line fault with fault…
- Question 39 – Consider the two bus power system network with given loads as shown in the figure. All the values shown in the figure are in per unit. The reactive…
- Question 40 – The per-unit power output of a salient-pole generator which is connected to an infinite bus, is given by the expression, P=1.4+0.152, where is the…
- Question 41 – A DC voltage source is connected to a series L-C circuit by turning on the switch S at time t=0 as shown in the figure. Assume i(0)=0, v(0)=0. Which…
- Question 42 – The equivalent impedance Z eq for the infinite ladder circuit shown in the figure is
- Question 43 – Consider a system governed by the following equations dx 1(t)dt=x 2(t)-x 1(t),dx 2(t)dt=x 1(t)-x 2(t). The initial conditions are such that x 1(0)<x…
- Question 44 – The number of roots of the polynomial, s7+s6+7s5+14s4+31s3+73s2+25s+200, in the open left half of the complex plane is
- Question 45 – If C is a circle z =4 and f(z)=z2(z2-3z+2)2, then Cf(z)\,dz is
- Question 46 – Which one of the following statements is true about the digital circuit shown in the figure?
- Question 47 – Digital input signals A,B,C with A as the MSB and C as the LSB are used to realize the Boolean function F=m 0+m 2+m 3+m 5+m 7, where m i denotes the…
- Question 48 – Consider the two continuous-time signals defined below: x 1(t)= t for -1 t1 (0 otherwise), and x 2(t)=1- t for -1 t1 (0 otherwise). These signals are…
- Question 49 – The signal energy of the continuous-time signal x(t)=[(t-1)u(t-1)]-[(t-2)u(t-2)]-[(t-3)u(t-3)]+[(t-4)u(t-4)] is
- Question 50 – The Fourier transform of a continuous-time signal x(t) is given by X()=1(10+j)2, -<<, where j=-1 and denotes frequency. Then the value of x(t) at t=1…
- Question 51 – In the circuit shown in the figure, the bipolar junction transistor (BJT) has a current gain =100. The base-emitter voltage drop is a constant, V…
- Question 52 – As shown in the figure, C is the arc from the point (3,0) to the point (0,3) on the circle x2+y2=9. The value of the integral…
- Question 53 – Let f(x)=3x3-7x2+5x+6. The maximum value of f(x) over the interval [0,2] is (up to 1 decimal place).
- Question 54 – Let A=bmatrix1&0&-1\\-1&2&0\\0&0&-2bmatrix and B=A3-A2-4A+5I, where I is the 33 identity matrix. The determinant of B is (up to 1 decimal place).
- Question 55 – The capacitance of an air-filled parallel-plate capacitor is 60 pF. When a dielectric slab whose thickness is half the distance between the plates, is…
- Question 56 – The unit step response y(t) of a unity feedback system with open loop transfer function G(s)H(s)=K(s+1)2(s+2) is shown in the figure. The value of K…
- Question 57 – A three-phase load is connected to a three-phase balanced supply as shown in the figure. If V an=1000 V, V bn=100-120 V and V cn=100-240 V (angles are…
- Question 58 – The voltage across the circuit in the figure, and the current through it, are given by the following expressions: v(t)=5-10( t+60) V i(t)=5+X( t) A…
- Question 59 – A phase controlled single phase rectifier, supplied by an AC source, feeds power to an R-L-E load as shown in the figure. The rectifier output voltage…
- Question 60 – The figure shows two buck converters connected in parallel. The common input dc voltage for the converters has a value of 100 V. The converters have…
- Question 61 – A 3-phase 900 kVA, 3 kV/3 kV (/Y), 50 Hz transformer has primary (high voltage side) resistance per phase of 0.3\ and secondary (low voltage side)…
- Question 62 – A 200 V DC series motor, when operating from rated voltage while driving a certain load, draws 10 A current and runs at 1000 r.p.m. The total series…
- Question 63 – A dc to dc converter shown in the figure is charging a battery bank, B2 whose voltage is constant at 150 V. B1 is another battery bank whose voltage…
- Question 64 – The equivalent circuit of a single phase induction motor is shown in the figure, where the parameters are R 1=R 2'=X l1=X l2'=12\ , X M=240\ and s is…
- Question 65 – The voltage v(t) across the terminals a and b as shown in the figure, is a sinusoidal voltage having a frequency =100 radian/s. When the inductor…