GATE 2014 EE (EE1) – Previous Year Questions with Solutions
All 65 questions of GATE 2014 EE (EE1) with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – Which option is closest in meaning to “cope with” in: “It is fascinating to see life forms cope with varied environmental conditions”?
- Question 2 – Choose the most appropriate completion: “He could not understand the judges awarding her the first prize, because he thought that her performance was…
- Question 3 – At a press meet on a recent scam, the minister said, “The buck stops here.” What did he convey?
- Question 4 – If (z+1/z)2=98, compute z2+1/z2.
- Question 5 – The roots of ax2+bx+c=0 are real and positive, with real a, b, c. Then ax2+b x +c=0 has .
- Question 6 – The Palghat (Palakkad) Gap, about 30 km wide in the southern Western Ghats in India, is lower than the hilly terrain to its north and south. The exact…
- Question 7 – Geneticists say they are close to confirming the genetic roots of psychiatric illnesses such as depression and schizophrenia, and consequently doctors…
- Question 8 – Round-trip tourist tickets receive a 10% discount on total fare. Groups of 4 or more receive an additional 5% discount on total fare. One-way fare is…
- Question 9 – 300 respondents reported vehicle ownership. Counts (men, women) are: car only (40,34), scooter only (30,20), both (60,46), no vehicle (20,50). What…
- Question 10 – An interior point of a tetrahedron (a solid with four triangular faces) is connected to its corners by straight lines. How many new internal planes…
- Question 11 – Consider x+2y+2z=b 1 and 5x+y+3z=b 2. Which statement about solutions is true?
- Question 12 – Find the maximum of f(x)=xe-x on (0,∞).
- Question 13 – Solve d2x/dt2=-9x, with x(0) = 1 and x′(0) = 1.
- Question 14 – X(s)=(3s+5)/(s2+10s+21) is the Laplace transform of x(t). Find x(0⁺).
- Question 15 – Let S=\z: z =1\ in the complex plane. Where does f(z)=zz*, with conjugate z*, map S?
- Question 16 – The three elements shown form part of a circuit. Find total power absorbed (W).
- Question 17 – C₀ is the capacitance of the air-filled parallel-plate capacitor in (a). Half the gap, as shown in (b), is filled with relative permittivity ε r. Find…
- Question 18 – A 1 µF capacitor with initial voltage v C(0) = −2 V is in series with 100 Ω and connected to an ideal 20 mA DC current source by operating both…
- Question 19 – x(t) is nonzero only for T x<t<T x, and y(t) only for T y<t<T y. Let z(t) = x(t) * y(t). Which statement is true?
- Question 20 – Which statement about a periodic square wave is true?
- Question 21 – An 8-pole, three-phase, 50 Hz induction motor runs at 700 rpm. Find rotor-current frequency (Hz).
- Question 22 – At specified transformer input voltage and frequency, the equivalent core radius is halved. By what factor should primary turns change to maintain the…
- Question 23 – A star-connected 400 V, 50 Hz, four-pole synchronous machine has open-circuit line voltage 400 V rms at field current 2.3 A, and short-circuit phase…
- Question 24 – Which property is undesirable in an electrical insulating material?
- Question 25 – A three-phase-to-ground fault occurs at F₁ or F₂ in the system shown. Bus-A voltages and marked currents for these cases are V F1,I F1 and V F2,I F2.…
- Question 26 – The two-bus system and its zero-sequence network are shown. Select transformer winding connections, ordered from left to right in each transformer.
- Question 27 – All elements in a row of a polynomial’s Routh–Hurwitz array are zero. This premature termination indicates the presence of .
- Question 28 – Find the closed-loop transfer function C(s)/R(s) corresponding to the unity-feedback root locus shown.
- Question 29 – Two wattmeters measure power of a balanced three-phase, three-wire load. The first reads twice the second. Find load-impedance angle (rad).
- Question 30 – In an oscilloscope screen, linear sweep is applied at the .
- Question 31 – Find the overall modulus of three cascaded identical modulo-5 counters.
- Question 32 – For the Wien-bridge oscillator shown, identify the bridge-balance conditions.
- Question 33 – Find the magnitude of mid-band voltage gain of the circuit shown, assuming transistor h fe = 100.
- Question 34 – An ideal diode bridge is fed by 230 V rms, 50 Hz sinusoidal voltage, as shown. Replace its 10 A current-source load with a resistor while keeping…
- Question 35 – Four switches (i)–(iv) are shown. Which block either polarity of voltage between a,b with their active device OFF?
- Question 36 – g:[0,)[0,) is g(x)=x- x, where floor denotes the greatest integer not exceeding x. Find the constant term in its Fourier-series expansion.
- Question 37 – A fair coin is tossed n times. Find the probability that the difference between heads and tails counts is n − 3.
- Question 38 – Find the counterclockwise line integral of F=yz i around x2+y2=1 at z = 1.
- Question 39 – A lamp is rated 40 W, 240 V. Its resistance at 26°C is 120 Ω and temperature coefficient is 4.510-3 per °C. Find approximate ON-state filament…
- Question 40 – For the circuit shown, R = 25 + I/2 Ω, with current I in amperes. Find I (A).
- Question 41 – An unbalanced three-phase system has phase I a = 1∠−90° pu, negative-sequence I b2 = 4∠−150° pu, and zero-sequence I c0 = 3∠90° pu. Find I b (pu).
- Question 42 – Which Cartesian vector field cannot be magnetic flux density?
- Question 43 – Which expression represents the function shown, with unit step u(t)?
- Question 44 – X(z)=1/(1-z-3) is the Z-transform of a causal sequence x[n]. Find x[2],x[3].
- Question 45 – F()= -f(t)e-j tdt and g(t)= -F(u)e-jutdu. What is the relation between g(t) and f(t)?
- Question 46 – The core loss of a single-phase 230/115 V, 50 Hz transformer is measured from the 230 V side with secondary open, using a variable-voltage,…
- Question 47 – A 15 kW, 230 V DC shunt motor has armature resistance 0.4 Ω and field resistance 230 Ω. At no load and rated voltage it runs at 1400 rpm drawing line…
- Question 48 – A three-phase, 50 Hz, six-pole induction motor has rotor resistance 0.1 Ω and reactance 0.92 Ω. Neglect stator voltage drop and assume constant rotor…
- Question 49 – A synchronous generator is synchronized to an infinite bus with lamps connected as shown. Bus phase sequence is R–Y–B, and generator terminals are…
- Question 50 – A 1 km resistive feeder of negligible reactance is supplied at both ends by in-phase balanced 400 V, 50 Hz sources S₁,S₂. Unity-power-factor…
- Question 51 – The two-bus system shown supplies load 1.0 + j0.5 pu. Find V₁ (pu) and δ₂ respectively.
- Question 52 – Two plants have fuel costs C 1=0.05P g12+AP g1+B and C 2=0.10P g22+3AP g2+2B, with constants A,B. They optimally share 1000 MW at incremental cost…
- Question 53 – IDMT line-protection relays and loads are shown. Their characteristic is t op=0.14\,TMS/(PSM0.02-1), with time and plug setting multipliers TMS,PSM.…
- Question 54 – Find the minimum α for stability of the system shown.
- Question 55 – The asymptotic Bode magnitude plot of G(s)=K(1+0.5s)(1+as)/[s(1+s/8)(1+bs)(1+s/36)] is shown. Note −6 dB/octave = −20 dB/decade. Find a/(bK).
- Question 56 – A=pmatrix0&1&-1\\-6&-11&6\\-6&-11&5pmatrix. Find the absolute value of the ratio of maximum eigenvalue to minimum eigenvalue.
- Question 57 – Find the rms voltmeter reading (V) for the circuit shown.
- Question 58 – DC current is measured by series-connected PMMC and electrodynamometer ammeters. The PMMC has 100 turns, air-gap flux density 0.2 Wb/m² and coil area…
- Question 59 – For ideal op-amps in the circuit shown, find V₀.
- Question 60 – Which logic circuit realizes F represented by the Karnaugh map shown?
- Question 61 – For the ideal op-amp circuit shown, which alternative gives correct Bode magnitude and phase plots for V₀(ω)/V i(ω)?
- Question 62 – An output device is interfaced with an 8085A 8-bit microprocessor as shown. The 3-to-8 decoder has three enable lines E₁,E₂,E₃. Find the device…
- Question 63 – The rectifier shown feeds series R = 10 Ω and L = 0.05 H. With ideal thyristor and diode, find firing angle (degrees) for average load voltage 70 V.
- Question 64 – Figure (i) shows a chopper. S is switched so diode voltage v D has waveform (ii). C is large enough for constant capacitor voltage. With ideal switch…
- Question 65 – The figure shows one period of inverter output. Choose 60° < α < 90° for fundamental-component rms voltage 50 V. Find α (degrees).