GATE 2026 EE – Previous Year Questions with Solutions
All 65 questions of GATE 2026 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 shopkeeper sells lemons.’ In this sentence, the word ‘lemons’ is the .
- Question 2 – The figure below is supposed to show three non-overlapping shapes – one oval and two triangles. Which one of the following figures P, Q, R, or S fits…
- Question 3 – At how many points will the curves y=x2 and y=-x2-2x-1 intersect in the real (x,y) plane?
- Question 4 – ‘If Anish had scored hundred runs in today’s match, he would have been made the captain of his team. He would have then become the youngest captain in…
- Question 5 – Which one of the following figures P, Q, R, or S, correctly shows the 45° clockwise-rotated version of figure (I)?
- Question 6 – Match the words in Column I with their synonyms in Column II. Column I Column II (i) Lonely (p) Verbatim (ii) Literal (q) Solitary (iii) Lousy (r)…
- Question 7 – In the given figure, PQ is the diameter of a circle with center O. Two points R and S are chosen on the circle such that ROS=80. When PR and QS are…
- Question 8 – Based on the relationship between each polygon and the number inside it, the value of ‘X’ is .
- Question 9 – Consider a linear arrangement of seven bulbs, each of which can be in the ON or OFF states. The initial configuration of the bulbs is shown in the…
- Question 10 – P and Q are two positive integers such that P2=Q2+13. The product of the numbers P and Q is .
- Question 11 – Consider the infinite-length, discrete-time sequence x[n]=0.9 n , where n is an integer. The region of convergence of its Z-transform X(z) is given…
- Question 12 – Let x c(t) be any continuous-time periodic signal with period T. It is sampled uniformly with a sampling period T s, where T s T, resulting in the…
- Question 13 – The Laplace transform of the step response of a system is given by Y(s)=100s(s+100) The rise time is defined as the time taken for the response to go…
- Question 14 – Consider the following differential equation: t2d2ydt2+7tdydt+8ty=10(t) Which one of the following options is correct?
- Question 15 – A uniform ring charge of radius R carries a total charge Q. Which one of the following options correctly quantifies the magnitude of the force on a…
- Question 16 – A positive point charge with velocity v=5\, x enters a region having electric field E=4\, y and magnetic field B=-6\, z. Which one of the following…
- Question 17 – A 15 kVA, 1100 V/220 V, single-phase two-winding transformer is configured as a 1.32 kV/1.1 kV autotransformer. What will be the rating of the…
- Question 18 – Consider a power system with N buses, of which P are generator buses and the remaining Q are load buses (where there is no generation). Assume that…
- Question 19 – The initial three-phase voltage phasors ( V A, V B, and V C) at a bus of a power network are as shown in Case-1. Due to a disturbance, the bus voltage…
- Question 20 – A certain application requires power at a frequency of 16.67 Hz, while the available grid frequency is 50 Hz. A 3-phase synchronous motor connected to…
- Question 21 – Which one of the following options is correct regarding the typical double-squirrel-cage structure used in induction motors?
- Question 22 – The figure shows the single-line diagram of a synchronous generator delivering P=50 MW of power at unity power factor to an infinite bus. I s denotes…
- Question 23 – A circuit with ideal elements is shown. Which one of the following options correctly identifies all the linear elements in the circuit?
- Question 24 – For the circuit shown, which one of the following options correctly identifies the Thevenin’s equivalent parameters between nodes Y and Z?
- Question 25 – Refer to the four circuits shown. Which one of the following options for k 1, k 2, k 3, and k 4 makes all of them realizable?
- Question 26 – A single-phase voltage source v s=325(250t) V delivers a current, i=12(250t)+9(2150t) A to a load. The load power factor, correct up to two decimal…
- Question 27 – The figure shows a straight-line approximation for the forward characteristics of a power diode. A continuous on-state current of 15 A is flowing…
- Question 28 – Consider the circuit shown in Figure (a). A gate pulse v g is applied between time instants t 0 and t 1. After t 1, during the MOSFET turn OFF…
- Question 29 – The asymptotic Bode magnitude plot of a system is shown. Which one of the following options best represents the transfer function of the system?
- Question 30 – Two n n matrices A and B have a common eigenvalue 2, and the same corresponding nonzero eigenvector. Which of the following options is/are correct?…
- Question 31 – A 220 V/12 V single-phase transformer is designed for use in India and rated 100 VA at 50 Hz. Later, this unit is shipped to the USA where it is used…
- Question 32 – Given that F(x,y,z)=(y)\, x+(x)\, y+5\, z, the integral S F(x,y,z) d s over the unit sphere S centered at the origin evaluates to . (Round off to one…
- Question 33 – In the linear regulator circuit shown, the base to emitter voltage V BE of the BJT is 0.6 V. The Zener diode clamps the base voltage to 5.4 V. Ignore…
- Question 34 – Consider the circuit shown. Assume that the diode D is ideal. The supply voltage v s=325(250t) V, L=500\ H, and R=10\ . The peak diode current (in…
- Question 35 – A is an m m skew-symmetric matrix with real-valued entries, and x is an m-dimensional column vector with real-valued entries such that xT x=1. The…
- Question 36 – A time-limited waveform g(x) is specified as follows: g(x)=cases-k,&-<x0\\+k,&0<x\\0,&otherwisecases A new waveform f(x) is constructed from g(x) as…
- Question 37 – In the circuit shown, the open loop gain of the operational amplifier is A 0=105. What is the voltage gain of the circuit? (Round off to two decimal…
- Question 38 – Three single-phase 11 kV/3.3 kV transformers are connected to form a three-phase transformer bank with connections as shown. Considering ABC phase…
- Question 39 – In the circuit shown, the phase currents are I A=572.812+j50.115 A I B=-254.525-j459.175 A I C=-207.083+j444.091 A Given that the CTs are ideal with…
- Question 40 – The operating characteristic of a reactance relay is given by X1\ , where X is the reactance calculated by the relay. Its operating characteristic in…
- Question 41 – A three-phase two-winding transformer has a voltage transformation ratio V PV S=0.866+j0.5, where V P is the primary side voltage in p.u., and V S is…
- Question 42 – An electrical component has voltage drop v=V m( t), when the current through it is i=I m( t-). What is the average power dissipated over a half cycle…
- Question 43 – The electrical network shown has an independent voltage source (10 V) and a current source (1 u(t) mA). The voltage across the capacitor at time…
- Question 44 – The terminal voltage and current of a linear electrical network shown in Figure (a) are given in the table. Terminal voltage (v t) Terminal current (i…
- Question 45 – The digital circuit shown has 3 inputs (x, y, and z). The simplified logical expression for the output (OUT) is:
- Question 46 – The MOSFET switches shown in the circuit are ideal. Which of the following is the correct option for Boolean logical expression of the output (OUT),…
- Question 47 – Consider the single-phase voltage source inverter circuit feeding an inductive load (L). Assume that the power MOSFET switches are ideal. S 1 and S 2…
- Question 48 – Consider the boost converter circuit shown. Assume that the semiconductor devices are ideal. In steady state, the inductor current rises linearly from…
- Question 49 – Which one of the following statements is ALWAYS correct about a collection of p column vectors, each having n real-valued entries?
- Question 50 – Consider the second-order differential equation d2ydx2+dydx+y=0 with initial conditions y(0)=1,\ dydx x=0=1. The solution is given by
- Question 51 – The figure shows an arbitrarily shaped planar conducting loop A in the XY plane. Two nonintersecting regions with areas a 1 and a 2 within the loop…
- Question 52 – A system is characterized by the following state equation and output equation (u: input, x: state vector, y: output) x=bmatrixa&b\\-a&0bmatrix…
- Question 53 – A system is represented in state-space form as follows: (u: input, x: state vector, y: output) x=bmatrix1&2\\-3&0bmatrix x+bmatrix1\\2bmatrixu,…
- Question 54 – For the balanced 3-phase transmission line shown, consider the following cases: **Case-1:** V 1 =1.1 p.u., V 2 =0.9 p.u., Z=0.750 p.u. and 12= 1- 2=0…
- Question 55 – Consider an n n orthogonal matrix A with real entries and each column having unit Euclidean norm. Which of the following statements is/are correct?
- Question 56 – Consider the system of linear equations: A x= b, where A is an n n matrix, and x and b are n-dimensional column vectors. Suppose this system of…
- Question 57 – The resistance values of the Wheatstone bridge shown are: P=2000\ , Q=500\ , R=3000\ . The battery voltage E=50 V. The battery has an internal…
- Question 58 – A system with two generators G1 and G2 (without generator limits) is shown. The total load on the system is 1184 MW. The expressions for the cost of…
- Question 59 – A balanced three-phase supply is given to a 30 kW, 4-pole, 400 V, 50 Hz, wound rotor induction motor with Y-connected stator and rotor windings. The…
- Question 60 – Consider the two-port network shown. For maximum power transfer to the resistive load (R L), the value of R L should be Ω. (Round off to two decimal…
- Question 61 – Consider the circuit shown. Assume that the diode (D) is ideal. Given v s=100(250t) V, V dc=50 V, and R=10\ , the average value of the current through…
- Question 62 – The magnitude of the contour integral C((z+1)2(z-i)(z-2))dz over the contour C:\ z-2-i =3/2 is . (Round off to two decimal places) Note: z is a…
- Question 63 – A uniform spherical volume charge distribution of radius 2 m, centered at the origin, has a strength of 310-5 C/m³. A point charge of strength…
- Question 64 – Let X and Y be two real-valued random variables with E(X)=1, E(Y)=2, E(X2)=4, E(Y2)=9, and E(XY)=0.9, where E denotes the expectation operator. The…
- Question 65 – The integral 1 0x2026(1+x2026)(1+x2)dx evaluates to . (Round off to two decimal places)