GATE 2017 EE (EE2) – Previous Year Questions with Solutions
All 65 questions of GATE 2017 EE (EE2) with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – Choose the pair of words that are not synonyms.
- Question 2 – Saturn is to be seen on a clear night with the naked eye.
- Question 3 – Five buildings V,W,X,Y,Z lie in a row. V is west of W. Z is east of X and west of V. W is west of Y. Which is in the middle?
- Question 4 – A twenty-question test totals 100 marks. Multiple-choice questions are worth 3 marks and essay questions 11 marks each. How many multiple-choice…
- Question 5 – There are 3 red, 4 green and 3 blue socks. Two socks are chosen randomly. The probability that their colours match is
- Question 6 – “We lived in a culture that denied any merit to literary works, considering them important only when they were handmaidens to something seemingly more…
- Question 7 – Three boxes contain apples only, oranges only, and both fruits. Every box is incorrectly labelled. You may open one box and inspect one fruit. Which…
- Question 8 – X is a 30-digit number beginning with digits 47. How many digits does X3 have?
- Question 9 – The number of roots of ex+0.5x2-2=0 in [−5,5] is
- Question 10 – An air-pressure contour joins points of equal atmospheric pressure. The plot has 0.05 bar contour intervals. If thunderstorm likelihood is determined…
- Question 11 – An urn contains 5 red and 5 black balls. One ball is drawn randomly and discarded without observing its colour. The probability that a second random…
- Question 12 – A solid sphere of radius 5 cm is made of a perfect electric conductor. If one million electrons are added, they are distributed
- Question 13 – The figures represent vector fields X, Y, Z, respectively. Which statement is true?
- Question 14 – Pole-zero plots for discrete-time systems P,Q,R are shown. Which statement about their frequency selectivity is true?
- Question 15 – If a synchronous motor runs at a leading power factor, its excitation-induced voltage E f is
- Question 16 – A unity-feedback system has closed-loop transfer function C(s)/R(s)=(Ks+b)/(s2+as+b) with a,b,K>0. Its steady-state error to a unit ramp is
- Question 17 – A compensator has C(s)=(1+s/0.1)(1+s/100)(1+s)(1+s/10). In which frequency range does its phase lead reach a maximum?
- Question 18 – Two parallel resistors have nominal values R 1,R 2 and additive uncertainties R 1, R 2. For equivalent resistance R, write R ,i= R/ R i. The standard…
- Question 19 – A stationary closed Lissajous pattern has 3 horizontal tangencies and 2 vertical tangencies. The horizontal input is 3 kHz. The vertical input…
- Question 20 – For the three-input logic circuit shown, output Z is
- Question 21 – A phase-controlled single-phase full-bridge converter supplies a highly inductive DC load from 230 V, 50 Hz AC. The fundamental frequency of the…
- Question 22 – In the circuit, both diodes are ideal, the inductance is small and I 00. Which statement is true?
- Question 23 – A three-phase voltage-source inverter with ideal devices operates in 180° conduction mode into a balanced star-connected resistive load. For DC input…
- Question 24 – A 3-phase, 4-pole, 400 V, 50 Hz squirrel-cage induction motor has slip 0.02. The rotor-flux speed, in mechanical rad/s as seen by a stationary…
- Question 25 – The figure is a per-phase phase-shifting transformer between buses 1 and 2, with complex ratio α having nonzero real and imaginary parts. Y bus and Z…
- Question 26 – A controlled rectifier is fed by a 230 V, 50 Hz single-phase source through a 10:1 ideal transformer. All devices are ideal; T1 and T2 fire at 90° and…
- Question 27 – A traffic light repeats 2 minutes of green (no stop) followed by 3 minutes of red (stop). Vehicle arrivals are uniform over the 5-minute cycle. The…
- Question 28 – For f(x,y,z)=(x2+y2-2z2)(y2+z2), the partial derivative with respect to x at x=2,y=1,z=3 is .
- Question 29 – Integers x,y satisfy 2x2+y2=34 and x+2y=11. The value of x+y is .
- Question 30 – Let y2-2y+1=x and x+y=5. Find x+ y, to three decimal places.
- Question 31 – For the shown two-port network, the transfer impedance z 21 in ohms is .
- Question 32 – The 1 F capacitor in the circuit is initially uncharged. The energy transferred from the 10 V DC source until steady state, in joules to one decimal…
- Question 33 – The mean-square value of the periodic waveform f(t) shown is .
- Question 34 – The nominal-π line model has series impedance Z=10080\ and each shunt branch has capacitive reactance magnitude X=3300 Ω. Find the line…
- Question 35 – A polar-coordinate Newton–Raphson load-flow problem has a 100×100 Jacobian and 20 PV buses, as well as PQ buses and one slack bus. The total number of…
- Question 36 – Let g(x)=cases-x,&x1,\+1,&x1,cases and f(x)=cases1-x,&x0,\2,&x>0.cases The number of discontinuities of (f g)(x)=f(g(x)) on (-,0) is
- Question 37 – The counterclockwise contour integral z =3(z3-2z+3)/(z-2)\,dz equals
- Question 38 – The eigenvalues of bmatrix0&1&0\\0&0&1\\0&-3&-4bmatrix are
- Question 39 – A balanced Y–Y connected three-phase circuit has line-to-line rms voltage 208 V. The load absorbs total power 432 W at power factor 0.6 leading. Its…
- Question 40 – For the shown source and load, the capacitance C giving maximum transferred load power is
- Question 41 – The output of the shown modulator and filter must be sampled for unique reconstruction. The minimum required rate is
- Question 42 – A cascade has h 1[n]=\1,-1\ and h 2[n]=\1,1\. All sequences shown begin at n=0. Which input produces y[n]=\1,2,1,-1,-2,-1\?
- Question 43 – A 220 V, 10 kW, 900 rpm separately excited DC motor has armature resistance 0.02 Ω. At rated speed and voltage it develops electromagnetic torque 70…
- Question 44 – The root locus with characteristic equation s2+6Ks+2s+5=0, K>0, enters the real axis at
- Question 45 – All roots of s3+3s2+2s+K=0 lie in the open left half-plane for
- Question 46 – Which transfer function gives the greatest unit-step peak overshoot?
- Question 47 – In the transistor circuit, V CE=V CC/2, V CC=10 V, β=29 and forward V BE=0.7 V. Find R B/R.
- Question 48 – The op-amp in the circuit is ideal. Which relation is true?
- Question 49 – A half-bridge voltage-source inverter feeds an RL load with R=40 Ω and L=0.3/ H. Sinusoidal PWM has modulation index 0.6 and fundamental frequency 50…
- Question 50 – A fair coin is tossed until a head appears, with at most three tosses. Y is the number of heads obtained. Its variance is
- Question 51 – For the shown network, the Thevenin voltage V ab is
- Question 52 – A 120 V DC shunt motor takes 2 A at no load and 7 A at full load, where it runs at 1200 rpm. Armature resistance is 0.8 Ω and field resistance is 240…
- Question 53 – A star-connected 12.5 kW, 208 V line, 3-phase, 60 Hz squirrel-cage motor has per-phase stator-referred parameters R1=R2=0.3 Ω and X1=X2=0.41 Ω.…
- Question 54 – A 25 kVA, 400 V, delta-connected three-phase cylindrical synchronous generator needs 5 A field current for rated short-circuit armature current. At…
- Question 55 – A 25 kVA Y–delta transformer has primary line voltage 3.3 kV on the Y side and per-phase turns ratio 5:1. Its secondary line-current rating in amperes…
- Question 56 – A state model is bmatrix x 1\\ x 2bmatrix=bmatrix0&1\\0&-2bmatrixbmatrixx 1\ 2bmatrix+bmatrix0\\1bmatrixu(t), with y=x1 and initial state (x 1(0),x…
- Question 57 – A 10½-digit timer-counter has a 100 MHz base clock. The same numerical reading occurs in frequency mode with 1 s gating and in period mode on the ×10…
- Question 58 – The diode in the shown circuit is ideal. Find the input power factor to two decimal places.
- Question 59 – The synchronous sequential circuit starts with Q AQ BQ C=Q A Q B Q C=100, for which Z=0. The minimum number of clocks before Z becomes zero again is .
- Question 60 – All elements are ideal. Switch S runs at 10 kHz and 60% duty ratio. The large output capacitor has negligible ripple and steady voltage 75 V with the…
- Question 61 – A balanced 3-phase 50 Hz overhead line has conductors at an equilateral triangle’s vertices with all spacings 1 m. Resistance is neglected and each…
- Question 62 – A 3-phase 50 Hz generator supplies a balanced inductive load of 3 MW at 17.32 kV through an overhead line. Per-phase line resistance and reactance are…
- Question 63 – Parallel generating units rated 300 MW and 400 MW have no-load-to-full-load governor speed regulations 6% and 4%, respectively. With free governor…
- Question 64 – A 3-phase, 2-pole, 50 Hz synchronous generator is rated 250 MVA at 0.8 lagging pf. Its synchronous-speed kinetic energy is 1000 MJ. It initially…
- Question 65 – A thin soap bubble has R=1 cm, thickness a=3.3 μm (a≪R) and potential 1 V relative to infinity. It bursts into one spherical drop containing all the…