GATE EE 2022 | GATE EE Year Wise Previous Years Questions

GATE EE

1. For an ideal MOSFET biased in saturation, the magnitude of the small signal current gain for a common drain amplifier is 2. The steady state output (Vout), of the circuit shown below, will 3. For the circuit shown below with ideal diodes, the output will be 4. The output impedance of a non-ideal operational amplifier is denoted by Zout. The variation in the magnitude of Zout wit 5. The current gain (Iout/Iin) in the circuit with an ideal current amplifier given below is 6. The Bode magnitude plot of a first order stable system is constant with frequency. The asymptotic value of the high freq 7. The open loop transfer function of a unity gain negative feedback system is given by $$G(s) = {k \over {{s^2} + 4s - 5}} 8. An LTI system is shown in the figure where $$G(s) = {{100} \over {{s^2} + 0.1s + 100}}$$. The steady state output of the 9. The open loop transfer function of a unity gain negative feedback system is given as $$G(s) = {1 \over {s(s + 1)}}$$ The 10. The damping ratio and undamped natural frequency of a closed loop system as shown in the figure, are denoted as $$\xi$$ 11. A MOD-2 and a MOD-5 up-counter when cascaded together results in a MOD _________ counter. (in integer). 12. The maximum clock frequency in MHz of a 4-stage ripple counter, utilizing flip-flops, with each flip-flop having a propa 13. The transfer function of a real system, H(s), is given as: $$H(s) = {{As + B} \over {{s^2} + Cs + D}}$$, where A, B, C a 14. In the circuit shown below, a three-phase star-connected unbalanced load is connected to a balanced three-phase supply o 15. An inductor having a Q-factor of 60 is connected in series with a capacitor having a Q-factor of 240. The overall Q-fact 16. The network shown below has a resonant frequency of 150 kHz and a bandwidth of 600 Hz. The Q-factor of the network is __ 17. In the circuit shown below, the switch S is closed at t = 0. The magnitude of the steady state voltage, in volts, across 18. In the circuit shown below, the magnitude of the voltage V1 in volts, across the 8 k$$\Omega$$ resistor is ________. (ro 19. A balanced Wheatsone bridge ABCD has the following arm resistances : RAB = 1 k$$\Omega$$ $$\pm$$ 2.1%; RBC = 100 $$\Omeg 20. Two balanced three-phase loads, as shown in the figure, are connected to a $$100\sqrt 3 $$ V, three-phase, 50 Hz main su 21. The type of single-phase induction motor, expected to have the maximum power factor during steady state running conditio 22. The frequencies of the stator and rotor currents flowing in the three-phase 8-pole induction motor are 40 Hz and 1 Hz, r 23. A 280 V, separately excited DC motor with armature resistance of 1 $$\Omega$$ and constant field excitation drives a loa 24. 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 incr 25. A star-connected 3-phase, 400 V, 50 kVA, 50 Hz synchronous motor has a synchronous reactance of 1 ohm per phase with neg 26. A 3-phase, 415 V, 50 Hz induction motor draws 5 times the rated current at rated voltage at starting. It is required to 27. A long conducting cylinder having a radius b is placed along the z-axis. The current density is $$\overrightarrow J = { 28. If the magnetic field intensity ($$\overrightarrow H $$) in a conducting region is given by the expression, $$\overright 29. As shown in the figure below, to concentric conducting spherical shells, centred at r = 0 and having radii r = c and r = 30. Consider a 3 $$\times$$ 3 matrix A whose (i, j)-th element, ai,j = (i $$-$$ j)3. Then the matrix A will be 31. e4 denotes the exponential of a square matrix A. Suppose $$\lambda$$ is an eigen value and v is the corresponding eigen- 32. Let $$f(x) = \int\limits_0^x {{e^t}(t - 1)(t - 2)dt} $$. Then f(x) decreases in the interval. 33. Consider a matrix $$A = \left[ {\matrix{ 1 & 0 & 0 \cr 0 & 4 & { - 2} \cr 0 & 1 & 1 \cr } } \right]$$. 34. Let $$f(x,y,z) = 4{x^2} + 7xy + 3x{z^2}$$. The direction in which the function f(x, y, z) increases most rapidly at poin 35. Let R be a region in the first quadrant of the xy plane enclosed by a closed curve C considered in counter-clockwise dir 36. Let $$\overrightarrow E (x,y,z) = 2{x^2}\widehat i + 5y\widehat j + 3z\widehat k$$. The value of $$\mathop{\int\!\!\!\in 37. Let the probability density function of a random variable x be given as f(x) = ae$$-$$2|x| The value of a is _________. 38. A charger supplies 100 W at 20 V for charging the battery of a laptop. The power devices, used in the converter inside t 39. A single-phase full-bridge diode rectifier feeds a resistive load of 50 $$\Omega$$ from a 200 V, 50 Hz single phase AC s 40. The voltage at the input of an AC-DC rectifier is given by $$v(t) = 230\sqrt 2 \sin \omega t$$ where $$\omega = 2\pi \ 41. Consider an ideal full-bridge single-phase DC-AC inverter with a DC bus voltage magnitude of 1000 V. The inverter output 42. For the ideal AC-DC rectifier circuit shown in the figure below, the load current magnitude is Idc = 15 A and is ripple 43. A 3-phase grid-connected voltage source converter with DC link voltage of 1000 V is switched using sinusoidal Pulse Widt 44. The steady state current flowing through the inductor of a DC-DC buck boost converter is given in the figure below. If t 45. The most commonly used relay, for the protection of an alternator against loss of excitation, is 46. The geometric mean radius of a conductor, having four equal strands with each strand of radius r, as shown in the figure 47. The valid positive, negative and zero sequence impedances (in p.u.), respectively, for a 220 kV, fully transported thre 48. If only 5% of the supplied power to a cable reaches the output terminal, the power loss in the cable, in decibels, is __ 49. The fuel cost functions in rupees/hour for two 600 MW thermal power plants are given by Plant 1 : C1 = 350 + 6P1 + 0.004 50. Two generating units rated for 250 MW and 400 MW have governor speed regulations of 6% and 6.4%, respectively, from no l 51. 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 52. Let a causal LTI system be governed by the following differential equation $$y(t) + {1 \over 4}{{dy} \over {dt}} = 2x(t) 53. Let an input x(t) = 2 sin(10$$\pi$$t) + 5 cos(15$$\pi$$t) + 7 sin(42$$\pi$$t) + 4 cos(45$$\pi$$t) is passed through an L 54. Consider the system as shown below: where y(t) = x(et). The system is 55. The discrete time Fourier series representation of a signal x[n] with period N is written as $$x[n] = \sum\nolimits_{k =

General Aptitude

1. As you grow older, an injury to your __________ may take longer to ___________. 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 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 i 4. Given below are two statements and four conclusions drawn based on the statements. Statement I : Some bottles are cups. 5. The figure below shows the front and rear view of a disc, which is shaded with identical patterns. The disc is flipped o 6. Altruism is the human concern for the well being of others. Altruism has been shown to be motivated more by social bondi 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, 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 charge 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 10. An ant is at the bottom-left corner of a grid (point P) as shown below in the figure. It aims to move to the top-right c

GATE EE

General Aptitude

GATE EE 2022

MCQ (Single Correct Answer)

-0.67

An ant is at the bottom-left corner of a grid (point P) as shown below in the figure. It aims to move to the top-right corner of the grid. The ant moves only along the lines marked in the grid such that the current distance to the top-right corner strictly decreases. Which one of the following is a part of a possible trajectory of the ant during the movement?

GATE EE 2022 General Aptitude - Numerical Ability Question 13 English