GATE 2014 EE (EE2) – Previous Year Questions with Solutions
All 65 questions of GATE 2014 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 – Complete the sentence: “India is a post-colonial country because .”
- Question 2 – Who was coming to see us this evening?
- Question 3 – Match 1: eradicate; 2: distort; 3: saturate; 4: utilize with P: misrepresent; Q: soak completely; R: use; S: destroy utterly.
- Question 4 – Find the average of all multiples of 10 from 2 to 198.
- Question 5 – Evaluate 12+12+12+.
- Question 6 – The old city of Koenigsberg, with a German majority before World War 2, is now called Kaliningrad. After the war it became Russian territory with a…
- Question 7 – Dengue diagnoses in north India are twice last year’s number. Municipal authorities conclude mosquito-control measures have failed. Which statement,…
- Question 8 – For real x with x2-2x+3 =11, possible values of -x3+x2-x include .
- Question 9 – The line graph shows male-to-female student ratios over five years. If female enrolment doubled in 2009, by what percentage did male enrolment…
- Question 10 – Between 6 am and 7 am, which listed time gives the angle between minute and hour hands closest to 60°?
- Question 11 – Which statement holds for every real symmetric matrix?
- Question 12 – A die has probability of showing n dots proportional to n. Find the probability of three dots.
- Question 13 – Where does real-valued f(x)=(x-1)2/3 attain its minimum?
- Question 14 – All values of the multivalued complex power ii, with i=-1, are .
- Question 15 – Which solves x2y+xy-y=0 for x > 0?
- Question 16 – Two identical coupled inductors are in series. The two possible series connections measure 380 µH and 240 µH. Find mutual inductance (µH).
- Question 17 – SW remains at 1 for a long time, then moves to 2 at t = 0⁺. Given V₀₂ > V₀₁ , find capacitor voltage v c(t).
- Question 18 – A parallel-plate capacitor contains two dielectrics as shown. The central slab is symmetric about the plates. Applied voltage is 10 V, and one plate…
- Question 19 – An LTI system has H(s)=1/[s(s+4)]. Input is cos(3t) and steady-state output is A sin(3t + α). Find A.
- Question 20 – An LTI system has h(t)=e-5tu(t) and output y(t)=e-3tu(t)-e-5tu(t). Find input x(t).
- Question 21 – For the ideal transformer circuit shown, find Thevenin voltage and impedance at x,y.
- Question 22 – A single-phase 50 kVA, 1000/100 V two-winding transformer is connected as the autotransformer shown. Find its kVA rating.
- Question 23 – A three-phase, four-pole self-excited induction generator supplies a load at f₁. Partially removing load changes frequency to f₂. Speed is maintained…
- Question 24 – A single-phase induction motor draws 12 MW at 0.6 lagging power factor. A parallel capacitor improves combined power factor to 0.8 lagging. Motor real…
- Question 25 – A three-phase star load operates at 0.9 pu voltage and 0.8 lagging power factor. Base three-phase power and current are 100 MVA and 437.38 A. Find…
- Question 26 – Shunt reactors in high-voltage transmission systems are used to .
- Question 27 – A system has closed-loop T(s)=4/(s2+0.4s+4). Find steady-state error to a unit step.
- Question 28 – Find the state-transition matrix for x=pmatrix1&0\\1&1pmatrix x+pmatrix1\\1pmatrixu.
- Question 29 – The sawtooth shown drives a moving-iron voltmeter. Find its approximate reading (V).
- Question 30 – Two wattmeters read 100 W and 250 W for a balanced three-phase load. Find load power factor.
- Question 31 – Which is invalid in an 8-4-2-1 BCD counter?
- Question 32 – The transistor shown should always be active. Given V CE(sat) = 0.2 V and V BE = 0.7 V, find maximum usable R C (Ω).
- Question 33 – The sinusoidal AC source shown has rms voltage 20/2 V. Considering every possible R L, find minimum R s (Ω) that prevents Zener burnout.
- Question 34 – An ideal step-up chopper supplies 400 V DC from 250 V DC with continuous inductor current. Switch off-time is 20 µs. Find switching frequency (kHz).
- Question 35 – Constant V/f control maintains fundamental terminal voltage/frequency ratio from zero to base frequency. Which statement describes low-frequency…
- Question 36 – For 08 y/2y/2+1(2x-y)/2\,dx\,dy, substitute u = (2x−y)/2 and v = y/2. Find the transformed integral.
- Question 37 – X has density f(x)=0.2 for x ≤ 1, 0.1 for 1 < x ≤ 4, and zero otherwise. Find P(0.5 < X < 5).
- Question 38 – Find the minimum of x3-3x2-24x+100 on [−3,3].
- Question 39 – For ideal diodes in the circuit shown, output clips when input v i is outside which range?
- Question 40 – Capacitor voltage in the shown circuit is v c(t)=A 1( 1t- 1)+A 2( 2t- 2). Find A₁,A₂ respectively.
- Question 41 – The circuit dissipates 1 kW total. The voltmeter across the load reads 200 V. Find X L (Ω).
- Question 42 – An infinite wire carrying I A produces B = 0I/(2 d) at perpendicular distance d m. One wire lies on the x-axis carrying 4 A in +x; another lies on the…
- Question 43 – X(k+1)=pmatrixa&a-1\+1&apmatrix X(k), with X₁(0) = 1 and X₂(0) = 0. Find poles for a = 1.
- Question 44 – x(t)=2+5(100 t) is sampled at 400 Hz and applied to Y(z)/X(z)=(1-z-N)/[N(1-z-1)], where N is samples per cycle. Find steady-state y[n].
- Question 45 – A 10 kHz even-symmetric square wave passes through a bandpass filter centered at 30 kHz with 3 dB passband 6 kHz. Output is .
- Question 46 – A 250 V DC shunt machine has armature resistance 0.6 Ω and field resistance 125 Ω. On 250 V mains, it runs separately as generator and motor with line…
- Question 47 – A three-phase slip-ring induction motor with commutator winding is shown. With rotor closed it rotates clockwise. Open its rotor and drive it…
- Question 48 – A 20-pole alternator has 180 identical stator slots with six conductors each; coils of each phase are in series. Generated single-phase voltage is V₁.…
- Question 49 – A single-phase two-winding transformer’s supply voltage and frequency both increase 10%. Find percentage changes in hysteresis and eddy-current losses…
- Question 50 – A synchronous generator with E f = 1.3 pu and X s = 1.1 pu supplies P = 0.6 pu to an infinite bus at 1.0 pu. Neglect stator resistance. Find reactive…
- Question 51 – Two generators have no-load frequencies 51.5 Hz and 51 Hz, each with droop 1 Hz/MW. Their total load is 2.5 MW. Assuming droop operation, find…
- Question 52 – Two horizontal conductors of a 50 Hz single-phase line have outer diameter 1.6 cm and center spacing 6 m. Given 0=8.85410-12 F/m, find capacitance to…
- Question 53 – A three-phase 100 MVA, 25 kV generator has a solidly grounded neutral. Its positive-, negative- and zero-sequence reactances are 0.2,0.2,0.05 pu on…
- Question 54 – G(s)=K/[s(s+2)(s2+2s+2)] has unity negative feedback. Find K for marginal closed-loop stability.
- Question 55 – For G(s)=5(s+4)/[s(s+0.25)(s2+4s+25)], find normalized constant gain term and highest Bode corner frequency respectively.
- Question 56 – X=PX+Qu, y = RX, with P=pmatrix-1&1\\0&-3pmatrix, Q=pmatrix0\\1pmatrix and R = [0,1]. Find controllability and observability.
- Question 57 – Parallel resistors R₁ = 300 Ω and R₂ = 200 Ω each have tolerance 1%. Find equivalent-resistance tolerance.
- Question 58 – Ammeters X,Y have resistances 1.2 Ω,1.5 Ω and full-scale currents 150 mA,250 mA respectively. Shunts extend each to 15 A full scale. The shunted…
- Question 59 – The oscillator shown uses ideal op-amp and diodes. Its positive and negative output durations are Δt₁,Δt₂. Find e( t 1- t 2)/(RC).
- Question 60 – F(A,B,C,D)= m(0,1,3,7,11) in SOP form, with A most significant and D least significant. Find an equivalent minimized expression.
- Question 61 – Which implements a JK flip-flop using a T flip-flop?
- Question 62 – The following 8085 program executes. Find register A at termination.
- Question 63 – The fully controlled bridge shown supplies a highly inductive load with ripple-free current from sinusoidal AC. Trigger angle is α = 30°. Find input…
- Question 64 – A single-phase SCR AC regulator supplies R = 5 Ω and L = 16 mH from 230 V, 50 Hz. Find the maximum firing angle at which device voltage remains zero…
- Question 65 – The SCR shown has latching current 40 mA. A 50 µs gate pulse is applied. Find maximum R (Ω) ensuring successful firing.