GATE 2017 EC – Previous Year Questions with Solutions
All 65 questions of GATE 2017 EC with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – She has a sharp tongue and it can occasionally turn .
- Question 2 – I made arrangements had I informed earlier.
- Question 3 – In the summer, water consumption is known to decrease overall by 25%. A Water Board official states that in the summer household consumption decreases…
- Question 4 – 40% of deaths on city roads may be attributed to drunken driving. The number of degrees needed to represent this as a slice of a pie chart is
- Question 5 – Some tables are shelves. Some shelves are chairs. All chairs are benches. Which of the following conclusions can be deduced from the preceding…
- Question 6 – "If you are looking for a history of India, or for an account of the rise and fall of the British Raj, or for the reason of the cleaving of the…
- Question 7 – S, T, U, V, W, X, Y, and Z are seated around a circular table. T's neighbours are Y and V. Z is seated third to the left of T and second to the right…
- Question 8 – Trucks (10 m long) and cars (5 m long) go on a single lane bridge. There must be a gap of at least 20 m after each truck and a gap of at least 15 m…
- Question 9 – There are 3 Indians and 3 Chinese in a group of 6 people. How many subgroups of this group can we choose so that every subgroup has at least one…
- Question 10 – A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour…
- Question 11 – Consider the 5 5 matrix A = bmatrix 1 & 2 & 3 & 4 & 5 \\ 5 & 1 & 2 & 3 & 4 \\ 4 & 5 & 1 & 2 & 3 \\ 3 & 4 & 5 & 1 & 2 \\ 2 & 3 & 4 & 5 & 1 bmatrix. It…
- Question 12 – The rank of the matrix M = bmatrix 5 & 10 & 10 \\ 1 & 0 & 2 \\ 3 & 6 & 6 bmatrix is
- Question 13 – Consider the following statements about the linear dependence of the real valued functions y 1 = 1, y 2 = x and y 3 = x2, over the field of real…
- Question 14 – Three fair cubical dice are thrown simultaneously. The probability that all three dice have the same number of dots on the faces showing up is (up to…
- Question 15 – Consider the following statements for continuous-time linear time invariant (LTI) systems. I. There is no bounded input bounded output (BIBO) stable…
- Question 16 – Consider a single input single output discrete-time system with x[n] as input and y[n] as output, where the two are related as y[n] = cases n x[n] , &…
- Question 17 – In the circuit shown, the positive angular frequency (in radians per second) at which the magnitude of the phase difference between the voltages V 1…
- Question 18 – A periodic signal x(t) has a trigonometric Fourier series expansion x(t) = a 0 + n=1(a n n 0 t + b n n 0 t) If x(t) = -x(-t) = -x(t - / 0), we can…
- Question 19 – A bar of Gallium Arsenide (GaAs) is doped with Silicon such that the Silicon atoms occupy Gallium and Arsenic sites in the GaAs crystal. Which one of…
- Question 20 – An n+-n Silicon device is fabricated with uniform and non-degenerate donor doping concentrations of N D1 = 1 1018 cm-3 and N D2 = 1 1015 cm-3…
- Question 21 – For a narrow base PNP BJT, the excess minority carrier concentrations ( n E for emitter, p B for base, n C for collector) normalized to equilibrium…
- Question 22 – For the operational amplifier circuit shown, the output saturation voltages are 15 V. The upper and lower threshold voltages for the circuit are,…
- Question 23 – A good transconductance amplifier should have
- Question 24 – The Miller effect in the context of a Common Emitter amplifier explains
- Question 25 – In the latch circuit shown, the NAND gates have non-zero, but unequal propagation delays. The present input condition is: P = Q = '0'. If the input…
- Question 26 – The clock frequency of an 8085 microprocessor is 5 MHz. If the time required to execute an instruction is 1.4 s, then the number of T-states needed…
- Question 27 – Consider the D-Latch shown in the figure, which is transparent when its clock input CK is high and has zero propagation delay. In the figure, the…
- Question 28 – The open loop transfer function G(s) = (s + 1)sp(s + 2)(s + 3) where p is an integer, is connected in unity feedback configuration as shown in the…
- Question 29 – Consider a stable system with transfer function G(s) = sp + b 1 sp-1 + + b psq + a 1 sq-1 + + a q where b 1, , b p and a 1, , a q are real valued…
- Question 30 – Which of the following can be the pole-zero configuration of a phase-lag controller (lag compensator)?
- Question 31 – Let (X 1, X 2) be independent random variables. X 1 has mean 0 and variance 1, while X 2 has mean 1 and variance 4. The mutual information I(X 1; X 2)…
- Question 32 – Which one of the following statements about differential pulse code modulation (DPCM) is true?
- Question 33 – In a digital communication system, the overall pulse shape p(t) at the receiver before the sampler has the Fourier transform P(f). If the symbols are…
- Question 34 – The voltage of an electromagnetic wave propagating in a coaxial cable with uniform characteristic impedance is V(l) = e- l + j t Volts, where l is the…
- Question 35 – Consider a wireless communication link between a transmitter and a receiver located in free space, with finite and strictly positive capacity. If the…
- Question 36 – Let f(x) = ex + x2 for real x. From among the following, choose the Taylor series approximation of f(x) around x = 0, which includes all powers of x…
- Question 37 – A three dimensional region R of finite volume is described by x2 + y2 z3; 0 z 1, where x, y, z are real. The volume of R (up to two decimal places) is…
- Question 38 – Let I = C (2z\,dx + 2y\,dy + 2x\,dz) where x, y, z are real, and let C be the straight line segment from point A: (0, 2, 1) to point B: (4, 1, -1).…
- Question 39 – Which one of the following is the general solution of the first order differential equation dydx = (x + y - 1)2, where x, y are real?
- Question 40 – Starting with x = 1, the solution of the equation x3 + x = 1, after two iterations of Newton-Raphson's method (up to two decimal places) is .
- Question 41 – Let x(t) be a continuous time periodic signal with fundamental period T = 1 seconds. Let \a k\ be the complex Fourier series coefficients of x(t),…
- Question 42 – Two discrete-time signals x[n] and h[n] are both non-zero only for n = 0, 1, 2, and are zero otherwise. It is given that x[0] = 1, x[1] = 2, x[2] = 1,…
- Question 43 – Let h[n] be the impulse response of a discrete-time linear time invariant (LTI) filter. The impulse response is given by h[0] = 13; h[1] = 13; h[2] =…
- Question 44 – The figure shows an RLC circuit excited by the sinusoidal voltage 100(3t) Volts, where t is in seconds. The ratio amplitude of V 2amplitude of V 1 is…
- Question 45 – In the circuit shown, the voltage V IN(t) is described by: V IN(t) = cases 0, & for t < 0 \\ 15 Volts, & for t 0 cases where t is in seconds. The time…
- Question 46 – The dependence of drift velocity of electrons on electric field in a semiconductor is shown below. The semiconductor has a uniform electron…
- Question 47 – As shown, a uniformly doped Silicon (Si) bar of length L = 0.1\ m with a donor concentration N D = 1016 cm-3 is illuminated at x = 0 such that…
- Question 48 – As shown, two Silicon (Si) abrupt p-n junction diodes are fabricated with uniform donor doping concentrations of N D1 = 1014 cm-3 and N D2 = 1016 cm-3…
- Question 49 – In the figure shown, the npn transistor acts as a switch. [Figure: A +5 V supply feeds a 4.8\ k collector resistor. The base is driven by V in(t)…
- Question 50 – For the circuit shown, assume that the NMOS transistor is in saturation. Its threshold voltage V tn = 1 V and its transconductance parameter n C…
- Question 51 – For the DC analysis of the Common-Emitter amplifier shown, neglect the base current and assume that the emitter and collector currents are equal.…
- Question 52 – The amplifier circuit shown in the figure is implemented using a compensated operational amplifier (op-amp), and has an open-loop voltage gain, A 0 =…
- Question 53 – Which one of the following gives the simplified sum of products expression for the Boolean function F = m 0 + m 2 + m 3 + m 5, where m 0, m 2, m 3 and…
- Question 54 – A 4-bit shift register circuit configured for right-shift operation, i.e. D in A, A B, B C, C D, is shown. If the present state of the shift register…
- Question 55 – The following FIVE instructions were executed on an 8085 microprocessor. The Accumulator value immediately after the execution of the fifth…
- Question 56 – A finite state machine (FSM) is implemented using the D flip-flops A and B, and logic gates, as shown in the figure below. The four possible states of…
- Question 57 – A linear time invariant (LTI) system with the transfer function G(s) = K(s2 + 2s + 2)(s2 - 3s + 2) is connected in unity feedback configuration as…
- Question 58 – Which one of the following options correctly describes the locations of the roots of the equation s4 + s2 + 1 = 0 on the complex plane?
- Question 59 – The Nyquist plot of the transfer function G(s) = K(s2 + 2s + 2)(s + 2) does not encircle the point (-1 + j0) for K = 10 but does encircle the point…
- Question 60 – In binary frequency shift keying (FSK), the given signal waveforms are u 0(t) = 5(20000 t); 0 t T, and u 1(t) = 5(22000 t); 0 t T, where T is the…
- Question 61 – Let X(t) be a wide sense stationary random process with the power spectral density S X(f) as shown in Figure (a), where f is in Hertz (Hz). The random…
- Question 62 – A continuous time signal x(t) = 4(200 t) + 8(400 t), where t is in seconds, is the input to a linear time invariant (LTI) filter with the impulse…
- Question 63 – An optical fiber is kept along the z direction. The refractive indices for the electric fields along x and y directions in the fiber are n x = 1.5000…
- Question 64 – The expression for an electric field in free space is E = E 0(x + y + j2z)e-j( t - kx + ky), where x, y, z represent the spatial coordinates, t…
- Question 65 – A half wavelength dipole is kept in the x-y plane and oriented along 45° from the x-axis. Determine the direction of null in the radiation pattern for…