GATE 2016 EE (EE2) – Previous Year Questions with Solutions
All 65 questions of GATE 2016 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 – The chairman requested the aggrieved shareholders to him.
- Question 2 – Identify the correctly spelled word.
- Question 3 – Pick the odd one out from 13,23,33,43,53.
- Question 4 – R2D2 is a robot, can repair aeroplanes, and no other robot can repair aeroplanes. Which follows?
- Question 5 – If 9y-6 =3, then y2-4y/3 is
- Question 6 – The graph gives installed capacity and actual cement production, in tonnes, for nine plants. Utilization is actual production divided by capacity. A…
- Question 7 – A poll of engineering-master’s applicants found 60% believed mechanical engineering unsuitable for women. A study of women with master’s or higher…
- Question 8 – Sourya committee proposed Sourya Institutes of Technology, modeled on IITs, to meet a developing country’s technological and industrial needs. Which…
- Question 9 – Shaquille O’Neal succeeds at 60% of free throws. Assuming independent attempts with this constant success probability, the probability of exactly 6…
- Question 10 – The units digit of 211870+1461273424 is .
- Question 11 – The output expression for the Karnaugh map shown is
- Question 12 – The op-amp circuit shown is an example of a
- Question 13 – An ideal transformer has primary:secondary turns 1:100. The primary is driven by 100 V rms, 50 Hz through the shown reactance. Find rms input current…
- Question 14 – A causal LTI system satisfies dy/dt+y/6=3x(t). Its zero-state response to x(t)=3e-t/3u(t) is
- Question 15 – A bandlimited signal x(t) has highest frequency 5 kHz. The highest frequency in x(t)(2000 t), in kHz, is .
- Question 16 – For complex z, let f(z)=z+z*, where * denotes conjugation. Which is true?
- Question 17 – A 3×3 matrix P obeys P3=P. Which listed eigenvalue triple is admissible?
- Question 18 – For t>0, solve y+2y+y=0 with y(0)=0 and y′(0)=1. Here u(t) is the unit step.
- Question 19 – Find C(2xy2\,dx+2x2y\,dy+dz) along a path from (0,0,0) to (1,1,1).
- Question 20 – A real periodic function satisfies f(-x)=-f(x). Its general Fourier-series form is
- Question 21 – A resistance and a coil are connected in series across 100 V rms, 50 Hz. The figure shows the coil’s resistance and inductance. Which rms pair (VR,VC)…
- Question 22 – Load voltage and current are v(t)=100 t V and i(t)=10( t-60)+23 t+55 t A. Average load power in watts is .
- Question 23 – The shown two-generator system has six overcurrent relays R1–R6, using an appropriate mix of directional and nondirectional relays. The remote backup…
- Question 24 – A power system has 100 buses, including 10 generator buses. With polar-coordinate Newton–Raphson load flow, the Jacobian size is
- Question 25 – A lossless 400 kV, three-phase 50 Hz line has inductance 1.6 mH/km/phase and capacitance 10 nF/km/phase. Sending voltage is maintained at 400 kV. When…
- Question 26 – The parallel-plate capacitor contains the two side-by-side dielectrics shown. If field in A is 4 kV/cm, the field in B in kV/cm is
- Question 27 – A 50 MVA, 10 kV, 50 Hz star-connected unloaded alternator has synchronous reactance 1 pu and subtransient reactance 0.2 pu. For a three-phase terminal…
- Question 28 – An LTI system has H(s)=1/(s+1). Input is cos(t) and steady output is A(t+). The amplitude A is .
- Question 29 – A three-phase diode bridge feeds constant 100 A DC into a highly inductive load from a 415 V, 50 Hz source. Rms current in each diode, in amperes, is…
- Question 30 – The ideal buck–boost converter changes a 24 V battery input to 36 V DC at 72 W. It operates at 20 kHz with L=2 mH and output capacitor 1000 μF. Peak…
- Question 31 – For the shown RC network, the angular frequency in rad/s at which maximum phase lag occurs is .
- Question 32 – The direction of a single-phase capacitor-run induction motor is reversed by
- Question 33 – The voltage and current sources in the circuit are ideal. The output voltage across the current source, in volts, is
- Question 34 – A connected network graph has 7 branches and 5 nodes. The numbers of independent KCL and KVL equations respectively are
- Question 35 – The two electrodes shown in cross-section are at the same potential. At which marked point is electric field greatest?
- Question 36 – The Boolean expression (a+ b+c+ d)+(b+ c) simplifies to
- Question 37 – For the ideal op-amp circuit, Vout in terms of V1,V2,V3 is
- Question 38 – The spectra X 1(),X 2() have edge bandwidths B1,B2 as shown. The product x 1(t)x 2(t) passes through a system with h(t)=e-2 t . The minimum sampling…
- Question 39 – The value of 2 -(2 t)/( t)\,dt is
- Question 40 – The function y solves y-4y+4y=0 with y(0)=0 and y′(0)=1. The value y(1) is .
- Question 41 – Find the line integral of F=5xz i+(3x2+2y) j+x2z k from (0,0,0) to (1,1,1), parametrized by (t,t2,t).
- Question 42 – Let P=bmatrix3&1\\1&3bmatrix. The set S consists of vectors (x,y) such that a2+b2=1, where (a,b)T=P(x,y)T. Then S is
- Question 43 – The density is f X(x)=32e-3xu(x)+ae4xu(-x), with u the unit step. The values of a and P(X≤0), respectively, are
- Question 44 – For the circuit shown, the driving-point impedance seen by source Vs in ohms is .
- Question 45 – The shown two-port has z11=40 Ω,z12=60 Ω,z21=80 Ω,z22=100 Ω. Find average power delivered to RL=20 Ω in watts.
- Question 46 – In the balanced three-phase 50 Hz circuit, each delta inductor has L=10 mH. Find each star capacitor C in millifarads for zero line currents.
- Question 47 – The capacitor initially has 4 V. S1 closes at t=0. The charge lost between t=25 μs and t=100 μs, in μC, is .
- Question 48 – The balanced system has generator internal and infinite-bus voltages fixed at 1 pu. Component reactances are shown. A three-phase fault occurs midway…
- Question 49 – A unity-feedback system has G(s)=K(s+1)/[s(1+Ts)(1+2s)], K>0,T>0. The closed-loop system is stable if
- Question 50 – A no-load lossless three-phase 50 Hz line has sending and receiving line voltages 400 kV and 420 kV. Traveling-wave velocity equals light speed. Find…
- Question 51 – An industry consumes 500 kVA at 0.8 lagging pf. A synchronous motor taking 100 kW is added to make the total pf unity. The motor’s power factor is .
- Question 52 – An electromagnetic system has flux linkage = i/g. For i=2 A and air gap g=10 cm, the mechanical-force magnitude in newtons is .
- Question 53 – A 415 V three-phase delta induction motor has starting line current 120 A at rated voltage. Its starting line current at 110 V, in amperes, is .
- Question 54 – A single-phase 2 kVA, 100/200 V transformer is reconnected as an autotransformer for maximum kVA rating. Its new rating in kVA is .
- Question 55 – A lossless full bridge supplies the shown RLE load with firing angle 120°. Supply is v m(t)=200(100 t) V, R=20 Ω and E=800 V with the indicated…
- Question 56 – The three-phase VSI shown supplies a delta resistive load of 30 Ω per phase from 600 V DC. Devices conduct in 180° mode. Find total load power in kW.
- Question 57 – An ideal boost converter increases 360 V to 400 V at 4 kW with continuous inductor current. Find rms switch current in amperes.
- Question 58 – An ideal single-phase bidirectional VSC charges a 400 V battery at 5 kW from 220 V rms, 50 Hz mains at unity pf. Interfacing L=5 mH and switching…
- Question 59 – For x=Ax, vectors α,β are eigenvectors of a 2×2 A with distinct eigenvalues λ1,λ2. For initial state x(0)=α, the response is
- Question 60 – A second-order real system has damping ratio 0.5, undamped natural frequency 10 rad/s and unit-step steady output 1.02. Its transfer function is
- Question 61 – Three single-phase transformers form a 110 kV/11 kV delta–star bank delivering 8 MW at 0.8 lagging pf at 11 kV. Neglect losses. The ratio of…
- Question 62 – The gain at the root-locus breakaway point for unity feedback and G(s)=Ks/[(s-1)(s-4)] is
- Question 63 – Two identical unloaded generators are paralleled as shown. Each has positive-, negative- and zero-sequence impedances j0.4,j0.3,j0.15 pu. Prefault…
- Question 64 – An energy meter with constant 1200 revolutions/kWh makes 20 revolutions in 30 seconds at constant load. The load in kW is .
- Question 65 – A 1 m conductor rotates about the z axis, parallel to it and 1 m away, in a radially outward 1 T magnetic field as shown. Find rpm needed to induce 1…