GATE 2017 EE – Previous Year Questions with Solutions
All 65 questions of GATE 2017 EE with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – After Rajendra Chola returned from his voyage to Indonesia, he to visit the temple in Thanjavur.
- Question 2 – Research in the workplace reveals that people work for many reasons .
- Question 3 – Rahul, Murali, Srinivas and Arul are seated around a square table. Rahul is sitting to the left of Murali. Srinivas is sitting to the right of Arul.…
- Question 4 – Find the smallest number y such that y 162 is a perfect cube.
- Question 5 – The probability that a k-digit number does NOT contain the digits 0, 5, or 9 is
- Question 6 – "The hold of the nationalist imagination on our colonial past is such that anything inadequately or improperly nationalist is just not history." Which…
- Question 7 – Six people are seated around a circular table. There are at least two men and two women. There are at least three right-handed persons. Every woman…
- Question 8 – The expression (x + y) - x - y 2 is equal to
- Question 9 – Arun, Gulab, Neel and Shweta must choose one shirt each from a pile of four shirts coloured red, pink, blue and white respectively. Arun dislikes the…
- 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 – The matrix A = bmatrix 32 & 0 & 12 \\ 0 & -1 & 0 \\ 12 & 0 & 32 bmatrix has three distinct eigenvalues and one of its eigenvectors is bmatrix 1 \\ 0…
- Question 12 – For a complex number z, z i z2 + 1z3 + 2z - i(z2 + 2) is
- Question 13 – Let z(t) = x(t) * y(t), where "*" denotes convolution. Let c be a positive real-valued constant. Choose the correct expression for z(ct).
- Question 14 – A solid iron cylinder is placed in a region containing a uniform magnetic field such that the cylinder axis is parallel to the magnetic field…
- Question 15 – Consider an electron, a neutron and a proton initially at rest and placed along a straight line such that the neutron is exactly at the center of the…
- Question 16 – The transfer function of a system is given by V o(s)V i(s) = 1 - s1 + s. Let the output of the system be v o(t) = V m( t + ) for the input, v i(t) = V…
- Question 17 – Consider the system with following input-output relation y[n] = (1 + (-1)n)\,x[n] where x[n] is the input and y[n] is the output. The system is
- Question 18 – A 4 pole induction machine is working as an induction generator. The generator supply frequency is 60 Hz. The rotor current frequency is 5 Hz. The…
- Question 19 – A source is supplying a load through a 2-phase, 3-wire transmission system as shown in figure below. The instantaneous voltage and current in phase-a…
- Question 20 – A 3-bus power system is shown in the figure below, where the diagonal elements of Y-bus matrix are: Y 11 = -j12 pu, Y 22 = -j15 pu and Y 33 = -j7 pu.…
- Question 21 – A closed loop system has the characteristic equation given by s3 + Ks2 + (K + 2)s + 3 = 0. For this system to be stable, which one of the following…
- Question 22 – The slope and level detector circuit in a CRO has a delay of 100 ns. The start-stop sweep generator has a response time of 50 ns. In order to display…
- Question 23 – The Boolean expression AB + AC + BC simplifies to
- Question 24 – For the circuit shown in the figure below, assume that diodes D 1, D 2 and D 3 are ideal. [Figure: A source v(t) = (100 t) V in series with a resistor…
- Question 25 – For the power semiconductor devices IGBT, MOSFET, Diode and Thyristor, which one of the following statements is TRUE?
- Question 26 – Consider g(t) = cases t - t , & t 0 \\ t - t , & otherwise cases, where t R. Here, t represents the largest integer less than or equal to t and t…
- Question 27 – Let I = c R xy2\,dx\,dy, where R is the region shown in the figure and c = 6 10-4. The value of I equals . (Give the answer up to two decimal places.)
- Question 28 – The power supplied by the 25 V source in the figure shown below is W.
- Question 29 – The equivalent resistance between the terminals A and B is .
- Question 30 – A three-phase, 50 Hz, star-connected cylindrical-rotor synchronous machine is running as a motor. The machine is operated from a 6.6 kV grid and draws…
- Question 31 – A 10-bus power system consists of four generator buses indexed as G1, G2, G3, G4 and six load buses indexed as L1, L2, L3, L4, L5, L6. The…
- Question 32 – Consider the unity feedback control system shown. The value of K that results in a phase margin of the system to be 30° is . (Give the answer up to…
- Question 33 – The following measurements are obtained on a single phase load: V = 220 V 1 %, I = 5.0 A 1% and W = 555 W 2 %. If the power factor is calculated using…
- Question 34 – In the converter circuit shown below, the switches are controlled such that the load voltage v o(t) is a 400 Hz square wave. [Figure: A full-bridge…
- Question 35 – A 3-phase voltage source inverter is supplied from a 600 V DC source as shown in the figure below. For a star connected resistive load of 20 per…
- Question 36 – A function f(x) is defined as f(x) = cases ex, & x < 1 \\ x + ax2 + bx, & x 1 cases, where x R. Which one of the following statements is TRUE?
- Question 37 – Consider the differential equation (t2 - 81)dydt + 5ty = (t) with y(1) = 2. There exists a unique solution for this differential equation when t…
- Question 38 – Consider the line integral I = c (x2 + iy2)\,dz, where z = x + iy. The line c is shown in the figure below. [Figure: The x-y plane with a straight…
- Question 39 – Two passive two-port networks are connected in cascade as shown in figure. A voltage source is connected at port 1. [Figure: Two-port network 1 and…
- Question 40 – Let a causal LTI system be characterized by the following differential equation, with initial rest condition d2ydt2 + 7dydt + 10y(t) = 4x(t) +…
- Question 41 – Let the signal x(t) = k=-+(-1)k(t - k2000) be passed through an LTI system with frequency response H(), as given in the figure below. [Figure: H() is…
- Question 42 – In the system whose signal flow graph is shown in the figure, U 1(s) and U 2(s) are inputs. The transfer function Y(s)U 1(s) is
- Question 43 – The transfer function of the system Y(s)/U(s) whose state-space equations are given below is: bmatrixx 1(t) \\ x 2(t)bmatrix = bmatrix 1 & 2 \\ 2 & 0…
- Question 44 – The load shown in the figure is supplied by a 400 V (line-to-line), 3-phase source (RYB sequence). The load is balanced and inductive, drawing 3464…
- Question 45 – The approximate transfer characteristic for the circuit shown below with an ideal operational amplifier and diode will be
- Question 46 – The output expression for the Karnaugh map shown below is AB \ CD 00 01 11 10 --- --- --- --- --- 00 0 0 0 0 01 1 0 0 1 11 1 0 1 1 10 0 0 0 0
- Question 47 – The logical gate implemented using the circuit shown below where, V 1 and V 2 are inputs (with 0 V as digital 0 and 5 V as digital 1) and V OUT is the…
- Question 48 – The input voltage V DC of the buck-boost converter shown below varies from 32 V to 72 V. Assume that all components are ideal, inductor current is…
- Question 49 – A load is supplied by a 230 V, 50 Hz source. The active power P and the reactive power Q consumed by the load are such that 1 kW P 2 kW and 1 kVAR Q 2…
- Question 50 – The bus admittance matrix for a power system network is bmatrix -j39.9 & j20 & j20 \\ j20 & -j39.9 & j20 \\ j20 & j20 & -j39.9 bmatrix pu. There is a…
- Question 51 – The switch in the figure below was closed for a long time. It is opened at t = 0. The current in the inductor of 2 H for t 0, is
- Question 52 – Only one of the real roots of f(x) = x6 - x - 1 lies in the interval 1 x 2 and bisection method is used to find its value. For achieving an accuracy…
- Question 53 – In the circuit shown below, the maximum power transferred to the resistor R is W.
- Question 54 – The magnitude of magnetic flux density (B) in micro Teslas (T), at the center of a loop of wire wound as a regular hexagon of side length 1 m carrying…
- Question 55 – A 375 W, 230 V, 50 Hz, capacitor start single-phase induction motor has the following constants for the main and auxiliary windings (at starting): Z m…
- Question 56 – Two parallel connected, three-phase, 50 Hz, 11 kV, star-connected synchronous machines A and B, are operating as synchronous condensers. They together…
- Question 57 – A 220 V DC series motor runs drawing a current of 30 A from the supply. Armature and field circuit resistances are 0.4 and 0.1 , respectively. The…
- Question 58 – A three-phase, three winding //Y (1.1 kV/6.6 kV/400 V) transformer is energized from AC mains at the 1.1 kV side. It supplies 900 kVA load at 0.8…
- Question 59 – A separately excited DC generator supplies 150 A to a 145 V DC grid. The generator is running at 800 RPM. The armature resistance of the generator is…
- Question 60 – For a system having transfer function G(s) = -s + 1s + 1, a unit step input is applied at time t = 0. The value of the response of the system at t =…
- Question 61 – Consider a causal and stable LTI system with rational transfer function H(z), whose corresponding impulse response begins at n = 0. Furthermore, H(1)…
- Question 62 – The circuit shown in the figure uses matched transistors with a thermal voltage V T = 25 mV. The base currents of the transistors are negligible. The…
- Question 63 – The figure below shows an uncontrolled diode bridge rectifier supplied from a 220 V, 50 Hz, 1-phase ac source. The load draws a constant current I o =…
- Question 64 – The positive, negative, and zero sequence reactances of a wye-connected synchronous generator are 0.2 pu, 0.2 pu, and 0.1 pu, respectively. The…
- Question 65 – The figure shows the single line diagram of a power system with a double circuit transmission line. The expression for electrical power is 1.5, where…