GATE 2022 EE – Previous Year Questions with Solutions
All 65 questions of GATE 2022 EE with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – As you grow older, an injury to your may take longer to .
- Question 2 – In a 500 m race, P and Q have speeds in the ratio of 3:4. Q starts the race when P has already covered 140 m. What is the distance between P and Q (in…
- Question 3 – Three bells P, Q, and R are rung periodically in a school. P is rung every 20 minutes; Q is rung every 30 minutes and R is rung every 50 minutes. If…
- Question 4 – Given below are two statements and four conclusions drawn based on the statements. Statement 1: Some bottles are cups. Statement 2: All cups are…
- Question 5 – The figure below shows the front and rear view of a disc, which is shaded with identical patterns. The disc is flipped once with respect to any one of…
- Question 6 – Altruism is the human concern for the wellbeing of others. Altruism has been shown to be motivated more by social bonding, familiarity and…
- Question 7 – There are two identical dice with a single letter on each of the faces. The following six letters: Q, R, S, T, U, and V, one on each of the faces. Any…
- Question 8 – The price of an item is 10% cheaper in an online store S compared to the price at another online store M. Store S charges ₹150 for delivery. There are…
- Question 9 – The letters P, Q, R, S, T and U are to be placed one per vertex on a regular convex hexagon, but not necessarily in the same order. Consider the…
- Question 10 – An ant is at the bottom-left corner of a grid (point P) as shown above. It aims to move to the top-right corner of the grid. The ant moves only along…
- Question 11 – The transfer function of a real system, H(s), is given as: H(s)=As+Bs2+Cs+D, where A,B,C and D are positive constants. This system cannot operate as
- Question 12 – For an ideal MOSFET biased in saturation, the magnitude of the small signal current gain for a common drain amplifier is
- Question 13 – The most commonly used relay, for the protection of an alternator against loss of excitation, is
- Question 14 – The geometric mean radius of a conductor, having four equal strands with each strand of radius 'r', as shown in the figure below, is
- Question 15 – The valid positive, negative and zero sequence impedances (in p.u.), respectively, for a 220 kV, fully transposed three-phase transmission line, from…
- Question 16 – The steady state output (V out), of the circuit shown below, will
- Question 17 – The Bode magnitude plot of a first order stable system is constant with frequency. The asymptotic value of the high frequency phase, for the system,…
- Question 18 – A balanced Wheatstone bridge ABCD has the following arm resistances: R AB=1\ k2.1\%; R BC=100\ 0.5\%; R CD is an unknown resistance; R DA=300\ 0.4\%.…
- Question 19 – The open loop transfer function of a unity gain negative feedback system is given by G(s)=ks2+4s-5. The range of k for which the system is stable, is
- Question 20 – Consider a 33 matrix A whose (i,j)-th element, a i,j=(i-j)3. Then the matrix A will be
- Question 21 – In the circuit shown below, a three-phase star-connected unbalanced load is connected to a balanced three-phase supply of 1003 V with phase sequence…
- Question 22 – A charger supplies 100 W at 20 V for charging the battery of a laptop. The power devices, used in the converter inside the charger, operate at a…
- Question 23 – A long conducting cylinder having a radius 'b' is placed along the z axis. The current density is J=J ar3\, z for the region r<b where r is the…
- Question 24 – The type of single-phase induction motor, expected to have the maximum power factor during steady state running condition, is
- Question 25 – For the circuit shown below with ideal diodes, the output will be
- Question 26 – A MOD 2 and a MOD 5 up-counter when cascaded together results in a MOD counter. (in integer)
- Question 27 – An inductor having a Q-factor of 60 is connected in series with a capacitor having a Q-factor of 240. The overall Q-factor of the circuit is . (round…
- Question 28 – The network shown below has a resonant frequency of 150 kHz and a bandwidth of 600 Hz. The Q-factor of the network is . (round off to nearest integer)
- Question 29 – The maximum clock frequency in MHz of a 4-stage ripple counter, utilizing flip-flops, with each flip-flop having a propagation delay of 20 ns, is .…
- Question 30 – If only 5% of the supplied power to a cable reaches the output terminal, the power loss in the cable, in decibels, is . (round off to nearest integer)
- Question 31 – In the circuit shown below, the switch S is closed at t=0. The magnitude of the steady state voltage, in volts, across the 6\ resistor is . (round off…
- Question 32 – A single-phase full-bridge diode rectifier feeds a resistive load of 50\ from a 200 V, 50 Hz single phase AC supply. If the diodes are ideal, then the…
- Question 33 – The voltage at the input of an AC-DC rectifier is given by v(t)=2302 t where =250 rad/s. The input current drawn by the rectifier is given by i(t)=10(…
- Question 34 – Two balanced three-phase loads, as shown in the figure, are connected to a 1003 V, three-phase, 50 Hz main supply. Given Z 1=(18+j24)\ and Z 2=(6+j8)\…
- Question 35 – The frequencies of the stator and rotor currents flowing in a three-phase 8-pole induction motor are 40 Hz and 1 Hz, respectively. The motor speed, in…
- Question 36 – The output impedance of a non-ideal operational amplifier is denoted by Z out. The variation in the magnitude of Z out with increasing frequency, f,…
- Question 37 – An LTI system is shown in the figure where G(s)=100s2+0.1s+100. The steady state output of the system, to the input r(t), is given as y(t)=a+b(10t+).…
- Question 38 – The open loop transfer function of a unity gain negative feedback system is given as G(s)=1s(s+1). The Nyquist contour in the s-plane encloses the…
- Question 39 – The damping ratio and undamped natural frequency of a closed loop system as shown in the figure, are denoted as and n, respectively. The values of and…
- Question 40 – eA denotes the exponential of a square matrix A. Suppose is an eigenvalue and v is the corresponding eigen-vector of matrix A. Consider the following…
- Question 41 – Let f(x)= 0xet(t-1)(t-2)\,dt. Then f(x) decreases in the interval
- Question 42 – Consider a matrix A=bmatrix1&0&0\\0&4&-2\\0&1&1bmatrix. The matrix A satisfies the equation 6A-1=A2+cA+dI, where c and d are scalars and I is the…
- Question 43 – The fuel cost functions in rupees/hour for two 600 MW thermal power plants are given by Plant 1: C 1=350+6P 1+0.004P 12 Plant 2: C 2=450+aP 2+0.003P…
- Question 44 – The current gain (I out/I in) in the circuit with an ideal current amplifier given below is
- Question 45 – If the magnetic field intensity ( H) in a conducting region is given by the expression, H=x2+x2y2+x2y2z2 k A/m. The magnitude of the current density,…
- Question 46 – Let a causal LTI system be governed by the following differential equation y(t)+14dydt=2x(t), where x(t) and y(t) are the input and output…
- Question 47 – Let an input x(t)=2(10 t)+5(15 t)+7(42 t)+4(45 t) is passed through an LTI system having an impulse response, h(t)=2((10 t) t)(40 t). The output of…
- Question 48 – Consider the system as shown below where y(t)=x(et). The system is
- Question 49 – The discrete time Fourier series representation of a signal x[n] with period N is written as x[n]= k=0N-1a kej(2kn/N). A discrete time periodic signal…
- Question 50 – Let, f(x,y,z)=4x2+7xy+3xz2. The direction in which the function f(x,y,z) increases most rapidly at point P=(1,0,2) is
- Question 51 – Let R be a region in the first quadrant of the xy plane enclosed by a closed curve C considered in counter-clockwise direction. Which one of the…
- Question 52 – Let E(x,y,z)=2x+5y+3z k. The value of V( E)\,dV, where V is the volume enclosed by the unit cube defined by 0 x1,\ 0 y1,\ and\ 0 z1, is
- Question 53 – As shown in the figure below, two concentric conducting spherical shells, centered at r=0 and having radii r=c and r=d are maintained at potentials…
- Question 54 – Let the probability density function of a random variable x be given as f(x)=ae-2 x The value of 'a' is .
- Question 55 – In the circuit shown below, the magnitude of the voltage V 1 in volts, across the 8\ k resistor is . (round off to nearest integer)
- Question 56 – Two generating units rated for 250 MW and 400 MW have governor regulations of 6% and 6.4%, respectively, from no load to full load. Both the…
- Question 57 – A 20 MVA, 11.2 kV, 4-pole, 50 Hz alternator has an inertia constant of 15 MJ/MVA. If the input and output powers of the alternator are 15 MW and 10…
- Question 58 – Consider an ideal full-bridge single-phase DC-AC inverter with a DC bus voltage magnitude of 1000 V. The inverter output voltage v(t) shown below, is…
- Question 59 – For the ideal AC-DC rectifier circuit shown in the figure below, the load current magnitude is I dc=15 A and is ripple free. The thyristors are fired…
- Question 60 – A 3-phase grid-connected voltage source converter with DC link voltage of 1000 V is switched using sinusoidal Pulse Width Modulation (PWM) technique.…
- Question 61 – The steady state current flowing through the inductor of a DC-DC buck boost converter is given in the figure below. If the peak-to-peak ripple in the…
- Question 62 – A 280 V, separately excited DC motor with armature resistance of 1\ and constant field excitation drives a load. The load torque is proportional to…
- Question 63 – A 4-pole induction motor with inertia of 0.1 kg-m2 drives a constant load torque of 2 Nm. The speed of the motor is increased linearly from 1000 rpm…
- Question 64 – A star-connected 3-phase, 400 V, 50 kVA, 50 Hz synchronous motor has a synchronous reactance of 1 ohm per phase with negligible armature resistance.…
- Question 65 – A 3-phase, 415 V, 4-pole, 50 Hz induction motor draws 5 times the rated current at rated voltage at starting. It is required to bring down the…