GATE 2016 EC – Previous Year Questions with Solutions
All 65 questions of GATE 2016 EC with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – Which of the following is CORRECT with respect to grammar and usage? Mount Everest is .
- Question 2 – The policeman asked the victim of a theft, "What did you ?"
- Question 3 – Despite the new medicine's in treating diabetes, it is not widely.
- Question 4 – In a huge pile of apples and oranges, both ripe and unripe mixed together, 15% are unripe fruits. Of the unripe fruits, 45% are apples. Of the ripe…
- Question 5 – Michael lives 10 km away from where I live. Ahmed lives 5 km away and Susan lives 7 km away from where I live. Arun is farther away than Ahmed but…
- Question 6 – A person moving through a tuberculosis prone zone has a 50% probability of becoming infected. However, only 30% of infected people develop the…
- Question 7 – In a world filled with uncertainty, he was glad to have many good friends. He had always assisted them in times of need and was confident that they…
- Question 8 – Leela is older than her cousin Pavithra. Pavithra's brother Shiva is older than Leela. When Pavithra and Shiva are visiting Leela, all three like to…
- Question 9 – If q-a = 1r and r-b = 1s and s-c = 1q, the value of abc is .
- Question 10 – P, Q, R and S are working on a project. Q can finish the task in 25 days, working alone for 12 hours a day. R can finish the task in 50 days, working…
- Question 11 – Let M4 = I, (where I denotes the identity matrix) and M I, M2 I and M3 I. Then, for any natural number k, M-1 equals:
- Question 12 – The second moment of a Poisson-distributed random variable is 2. The mean of the random variable is
- Question 13 – Given the following statements about a function f : R R, select the right option: P: If f(x) is continuous at x = x 0, then it is also differentiable…
- Question 14 – Which one of the following is a property of the solutions to the Laplace equation: 2 f = 0?
- Question 15 – Consider the plot of f(x) versus x as shown below. [Figure: f(x) is zero at x = -5, then falls to -2 and stays flat for a while, rises through 0 at x…
- Question 16 – Which one of the following is an eigen function of the class of all continuous-time, linear, time-invariant systems (u(t) denotes the unit-step…
- Question 17 – A continuous-time function x(t) is periodic with period T. The function is sampled uniformly with a sampling period T s. In which one of the following…
- Question 18 – Consider the sequence x[n] = an u[n] + bn u[n], where u[n] denotes the unit-step sequence and 0 < a < b < 1. The region of convergence (ROC) of the…
- Question 19 – Consider a two-port network with the transmission matrix: T = pmatrix A & B \\ C & D pmatrix. If the network is reciprocal, then
- Question 20 – A continuous-time sinusoid of frequency 33 Hz is multiplied with a periodic Dirac impulse train of frequency 46 Hz. The resulting signal is passed…
- Question 21 – A small percentage of impurity is added to an intrinsic semiconductor at 300 K. Which one of the following statements is true for the energy band…
- Question 22 – Consider the following statements for a metal oxide semiconductor field effect transistor (MOSFET): P: As channel length reduces, OFF-state current…
- Question 23 – Consider the constant current source shown in the figure below. Let represent the current gain of the transistor. [Figure: A reference voltage V ref…
- Question 24 – The following signal V i of peak voltage 8 V is applied to the non-inverting terminal of an ideal opamp. The transistor has V BE = 0.7 V, = 100; V LED…
- Question 25 – Consider the oscillator circuit shown in the figure. The function of the network (shown in dotted lines) consisting of the 100 kΩ resistor in series…
- Question 26 – The block diagram of a frequency synthesizer consisting of a Phase Locked Loop (PLL) and a divide-by-N counter (comprising 2, 4, 8, 16 outputs) is…
- Question 27 – The output of the combinational circuit given below is
- Question 28 – What is the voltage V out in the following circuit?
- Question 29 – Match the inferences X, Y, and Z, about a system, to the corresponding properties of the elements of first column in Routh's Table of the system…
- Question 30 – A closed-loop control system is stable if the Nyquist plot of the corresponding open-loop transfer function
- Question 31 – Consider binary data transmission at a rate of 56 kbps using baseband binary pulse amplitude modulation (PAM) that is designed to have a raised-cosine…
- Question 32 – A superheterodyne receiver operates in the frequency range of 58 MHz - 68 MHz. The intermediate frequency f IF and local oscillator frequency f LO are…
- Question 33 – The amplitude of a sinusoidal carrier is modulated by a single sinusoid to obtain the amplitude modulated signal s(t) = 5 1600 t + 20 1800 t + 5 2000…
- Question 34 – Concentric spherical shells of radii 2 m, 4 m, and 8 m carry uniform surface charge densities of 20 nC/m2, -4 nC/m2 and s, respectively. The value of…
- Question 35 – The propagation constant of a lossy transmission line is (2 + j5) m-1 and its characteristic impedance is (50 + j0)\ at = 106 rad s-1. The values of…
- Question 36 – The integral 12 D (x + y + 10) \, dx \, dy, where D denotes the disc: x2 + y2 4, evaluates to
- Question 37 – A sequence x[n] is specified as bmatrix x[n] \\ x[n-1] bmatrix = bmatrix 1 & 1 \\ 1 & 0 bmatrixn bmatrix 1 \\ 0 bmatrix, for n 2. The initial…
- Question 38 – In the following integral, the contour C encloses the points 2 j and -2 j. -12 C z(z - 2 j)3 \, dz The value of the integral is
- Question 39 – The region specified by \(, , z) : 3 5, 8 4, 3 z 4.5\ in cylindrical coordinates has volume of
- Question 40 – The Laplace transform of the causal periodic square wave of period T shown in the figure below is
- Question 41 – A network consisting of a finite number of linear resistor (R), inductor (L), and capacitor (C) elements, connected all in series or all in parallel,…
- Question 42 – A first-order low-pass filter of time constant T is excited with different input signals (with zero initial conditions up to t = 0). Match the…
- Question 43 – An AC voltage source V = 10(t) volts is applied to the following network. Assume that R 1 = 3\ k, R 2 = 6\ k and R 3 = 9\ k, and that the diode is…
- Question 44 – In the circuit shown in the figure, the maximum power (in watt) delivered to the resistor R is
- Question 45 – Consider the signal x[n] = 6[n+2] + 3[n+1] + 8[n] + 7[n-1] + 4[n-2]. If X(ej) is the discrete-time Fourier transform of x[n], then 1 - X(ej)2(2) \, d…
- Question 46 – Consider a silicon p-n junction with a uniform acceptor doping concentration of 1017 cm-3 on the p-side and a uniform donor doping concentration of…
- Question 47 – Consider an n-channel metal oxide semiconductor field effect transistor (MOSFET) with a gate-to-source voltage of 1.8 V. Assume that WL = 4, N C ox =…
- Question 48 – The figure below shows the doping distribution in a p-type semiconductor in log scale. [Figure: A log-scale plot of N A against position. N A rises as…
- Question 49 – Consider a silicon sample at T = 300 K, with a uniform donor density N d = 5 1016 cm-3, illuminated uniformly such that the optical generation rate is…
- Question 50 – An ideal opamp has voltage sources V 1, V 3, V 5, , V N-1 connected to the non-inverting input and V 2, V 4, V 6, , V N connected to the inverting…
- Question 51 – A p-i-n photodiode of responsivity 0.8 A/W is connected to the inverting input of an ideal opamp as shown in the figure, V CC = 15 V, -V CC = -15 V,…
- Question 52 – Identify the circuit below.
- Question 53 – The functionality implemented by the circuit below is
- Question 54 – In an 8085 system, a PUSH operation requires more clock cycles than a POP operation. Which one of the following options is the correct reason for…
- Question 55 – The open-loop transfer function of a unity-feedback control system is G(s) = Ks2 + 5s + 5 The value of K at the breakaway point of the feedback…
- Question 56 – The open-loop transfer function of a unity-feedback control system is given by G(s) = Ks(s + 2) For the peak overshoot of the closed-loop system to a…
- Question 57 – The transfer function of a linear time invariant system is given by H(s) = 2s4 - 5s3 + 5s - 2 The number of zeros in the right half of the s-plane is
- Question 58 – Consider a discrete memoryless source with alphabet S = \s 0, s 1, s 2, s 3, s 4, \ and respective probabilities of occurrence P = \12, 14, 18, 116,…
- Question 59 – A digital communication system uses a repetition code for channel encoding/decoding. During transmission, each bit is repeated three times (0 is…
- Question 60 – An analog pulse s(t) is transmitted over an additive white Gaussian noise (AWGN) channel. The received signal is r(t) = s(t) + n(t), where n(t) is…
- Question 61 – The current density in a medium is given by J = 4002(r2 + 4)a r Am-2 The total current and the average current density flowing through the portion of…
- Question 62 – An antenna pointing in a certain direction has a noise temperature of 50 K. The ambient temperature is 290 K. The antenna is connected to a…
- Question 63 – Two lossless X-band horn antennas are separated by a distance of 200. The amplitude reflection coefficients at the terminals of the transmitting and…
- Question 64 – The electric field of a uniform plane wave travelling along the negative z direction is given by the following equation: E wi = (a x + ja y)E 0 ejkz…
- Question 65 – The far-zone power density radiated by a helical antenna is approximated as: W rad = W average a r C 0 1r24 The radiated power density is symmetrical…