GATE 2016 EE – Previous Year Questions with Solutions
All 65 questions of GATE 2016 EE with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – The man who is now Municipal Commissioner worked as .
- Question 2 – Nobody knows how the Indian cricket team is going to cope with the difficult and seamer-friendly wickets in Australia. Choose the option which is…
- Question 3 – Find the odd one in the following group of words. mock, deride, praise, jeer
- Question 4 – Pick the odd one from the following options.
- Question 5 – In a quadratic function, the value of the product of the roots (, ) is 4. Find the value of n + n-n + -n
- Question 6 – Among 150 faculty members in an institute, 55 are connected with each other through Facebook® and WhatsApp® accounts, 85 are connected through…
- Question 7 – Computers were invented for performing only high-end useful computations. However, it is no understatement that they have taken over our world today.…
- Question 8 – All hill-stations have a lake. Ooty has two lakes. Which of the statement(s) below is/are logically valid and can be inferred from the above…
- Question 9 – In a 2 4 rectangle grid shown below, each cell is a rectangle. How many rectangles can be observed in the grid?
- Question 10 – Choose the correct expression for f(x) given in the graph. [Graph: a straight line rises from (-3, -2) to a peak at (1, 2), then falls in a straight…
- Question 11 – The maximum value attained by the function f(x) = x(x - 1)(x - 2) in the interval [1, 2] is .
- Question 12 – Consider a 3 3 matrix with every element being equal to 1. Its only non-zero eigenvalue is .
- Question 13 – The Laplace Transform of f(t) = e2t (5t) u(t) is
- Question 14 – A function y(t), such that y(0) = 1 and y(1) = 3e-1, is a solution of the differential equation d2 ydt2 + 2dydt + y = 0. Then y(2) is
- Question 15 – The value of the integral C 2z + 5(z - 12)(z2 - 4z + 5) \, dz over the contour z = 1, taken in the anti-clockwise direction, would be
- Question 16 – The transfer function of a system is Y(s)R(s) = ss + 2. The steady state output y(t) is A (2t + ) for the input (2t). The values of A and ,…
- Question 17 – The phase cross-over frequency of the transfer function G(s) = 100(s + 1)3 in rad/s is
- Question 18 – Consider a continuous-time system with input x(t) and output y(t) given by y(t) = x(t) (t) This system is
- Question 19 – The value of -+ e-t (2t - 2) \, dt, where (t) is the Dirac delta function, is
- Question 20 – A temperature in the range of -40° C to 55° C is to be measured with a resolution of 0.1° C. The minimum number of ADC bits required to get a matching…
- Question 21 – Consider the following circuit which uses a 2-to-1 multiplexer as shown in the figure below. The Boolean expression for output F in terms of A and B…
- Question 22 – A transistor circuit is given below. The Zener diode breakdown voltage is 5.3 V as shown. Take base to emitter voltage drop to be 0.6 V. The value of…
- Question 23 – In cylindrical coordinate system, the potential produced by a uniform ring charge is given by = f(r, z), where f is a continuous function of r and z.…
- Question 24 – A soft-iron toroid is concentric with a long straight conductor carrying a direct current I. If the relative permeability r of soft-iron is 100, the…
- Question 25 – R A and R B are the input resistances of circuits as shown below. The circuits extend infinitely in the direction shown. Which one of the following…
- Question 26 – In a constant V/f induction motor drive, the slip at the maximum torque
- Question 27 – In the portion of a circuit shown, if the heat generated in 5\ resistance is 10 calories per second, then heat generated by the 4\ resistance, in…
- Question 28 – In the given circuit, the current supplied by the battery, in ampere, is .
- Question 29 – In a 100 bus power system, there are 10 generators. In a particular iteration of Newton Raphson load flow technique (in polar coordinates), two of the…
- Question 30 – The magnitude of three-phase fault currents at buses A and B of a power system are 10 pu and 8 pu, respectively. Neglect all resistances in the system…
- Question 31 – Consider a system consisting of a synchronous generator working at a lagging power factor, a synchronous motor working at an overexcited condition and…
- Question 32 – A buck converter, as shown in Figure (a) below, is working in steady state. The output voltage and the inductor current can be assumed to be ripple…
- Question 33 – A steady dc current of 100 A is flowing through a power module (S, D) as shown in Figure (a). The V-I characteristics of the IGBT (S) and the diode…
- Question 34 – A 4-pole, lap-connected, separately excited dc motor is drawing a steady current of 40 A while running at 600 rpm. A good approximation for the…
- Question 35 – If an ideal transformer has an inductive load element at port 2 as shown in the figure below, the equivalent inductance at port 1 is
- Question 36 – Candidates were asked to come to an interview with 3 pens each. Black, blue, green and red were the permitted pen colours that the candidate could…
- Question 37 – Let S = n=0 nn where < 1. The value of in the range 0 < < 1, such that S = 2 is .
- Question 38 – Let the eigenvalues of a 2 2 matrix A be 1, -2 with eigenvectors x 1 and x 2 respectively. Then the eigenvalues and eigenvectors of the matrix A2 - 3A…
- Question 39 – Let A be a 4 3 real matrix with rank 2. Which one of the following statement is TRUE?
- Question 40 – Consider the following asymptotic Bode magnitude plot ( is in rad/s). [Figure: A Bode magnitude plot. The slope is +20 dB/dec, crossing 0 dB at = 0.5,…
- Question 41 – Consider the following state-space representation of a linear time-invariant system. x(t) = bmatrix 1 & 0 \\ 0 & 2 bmatrix x(t), y(t) = cT x(t), c =…
- Question 42 – Loop transfer function of a feedback system is G(s)H(s) = s + 3s2(s - 3). Take the Nyquist contour in the clockwise direction. Then, the Nyquist plot…
- Question 43 – Given the following polynomial equation s3 + 5.5 s2 + 8.5 s + 3 = 0, the number of roots of the polynomial, which have real parts strictly less than…
- Question 44 – Suppose x 1(t) and x 2(t) have the Fourier transforms as shown below. [Figure: X 1(j) is real and made of three triangles: height 0.3 over from -1 to…
- Question 45 – The output of a continuous-time, linear time-invariant system is denoted by T\x(t)\ where x(t) is the input signal. A signal z(t) is called…
- Question 46 – The current state Q A Q B of a two JK flip-flop system is 00. Assume that the clock rise-time is much smaller than the delay of the JK flip-flop. The…
- Question 47 – A 2-bit flash Analog to Digital Converter (ADC) is given below. The input is 0 V IN 3 Volts. The expression for the LSB of the output B 0 as a Boolean…
- Question 48 – Two electric charges q and -2q are placed at (0, 0) and (6, 0) on the x-y plane. The equation of the zero equipotential curve in the x-y plane is
- Question 49 – In the circuit shown, switch S 2 has been closed for a long time. At time t = 0 switch S 1 is closed. At t = 0+, the rate of change of current through…
- Question 50 – A three-phase cable is supplying 800 kW and 600 kVAr to an inductive load. It is intended to supply an additional resistive load of 100 kW through the…
- Question 51 – A 30 MVA, 3-phase, 50 Hz, 13.8 kV, star-connected synchronous generator has positive, negative and zero sequence reactances, 15%, 15% and 5%…
- Question 52 – If the star side of the star-delta transformer shown in the figure is excited by a negative sequence voltage, then
- Question 53 – A single-phase thyristor-bridge rectifier is fed from a 230 V, 50 Hz, single-phase AC mains. If it is delivering a constant DC current of 10 A, at…
- Question 54 – The switches T1 and T2 in Figure (a) are switched in a complementary fashion with sinusoidal pulse width modulation technique. The modulating voltage…
- Question 55 – The voltage (v s) across and the current (i s) through a semiconductor switch during a turn-ON transition are shown in figure. The energy dissipated…
- Question 56 – A single-phase 400 V, 50 Hz transformer has an iron loss of 5000 W at the rated condition. When operated at 200 V, 25 Hz, the iron loss is 2000 W.…
- Question 57 – A DC shunt generator delivers 45 A at a terminal voltage of 220 V. The armature and the shunt field resistances are 0.01 and 44 respectively. The…
- Question 58 – A three-phase, 50 Hz salient-pole synchronous motor has a per-phase direct-axis reactance (X d) of 0.8 pu and a per-phase quadrature-axis reactance (X…
- Question 59 – A single-phase, 22 kVA, 2200 V/ 220 V, 50 Hz, distribution transformer is to be connected as an auto-transformer to get an output voltage of 2420 V.…
- Question 60 – A single-phase full-bridge voltage source inverter (VSI) is fed from a 300 V battery. A pulse of 120° duration is used to trigger the appropriate…
- Question 61 – A single-phase transmission line has two conductors each of 10 mm radius. These are fixed at a center-to-center distance of 1 m in a horizontal plane.…
- Question 62 – In the circuit shown below, the supply voltage is 10(1000t) volts. The peak value of the steady state current through the 1 resistor, in amperes, is .
- Question 63 – A dc voltage with ripple is given by v(t) = [100 + 10( t) - 5(3 t)] volts. Measurements of this voltage v(t), made by moving-coil and moving-iron…
- Question 64 – The circuit below is excited by a sinusoidal source. The value of R, in , for which the admittance of the circuit becomes a pure conductance at all…
- Question 65 – In the circuit shown below, the node voltage V A is V.