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Question 1 of 65
1. Question
In the circuit shown, the diodes are ideal, the inductance is small, and I_{o} ≠ 0. Which one of the following statements is true?
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Question 2 of 65
2. Question
For a 3input logic circuit shown below, the output Z can be expressed as
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Question 3 of 65
3. Question
An urn contains 5 red balls and 5 black balls. In the first draw, one ball is picked at random and discarded without noticing its colour. The probability to get a red ball in the second draw is
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Question 4 of 65
4. Question
When a unit ramp input is applied to the unity feedback system having closed loop transfer function the steady state error will be
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Question 5 of 65
5. Question
A threephase voltage source inverter with ideal devices operating in o 180 conduction mode is feeding a balanced starconnected resistive load. The DC voltage input is V_{dc}. The peak of the fundamental component of the phase voltage is
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Question 6 of 65
6. Question
The figures show diagrammatic representations of vector fields respectively. Which one of the following choices is true?
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Question 7 of 65
7. Question
Assume that in a traffic junction, the cycle of the traffic signal lights is 2 minutes of green (vehicle does not stop) and 3 minutes of red (vehicle stops). Consider that the arrival time of vehicles at the junction is uniformly distributed over 5 minute cycle. The expected waiting time (in minutes) for the vehicle at the junction is ________.
CorrectIncorrectHint
NAT Type Question

Question 8 of 65
8. Question
Consider a solid sphere of radius 5 cm made of a perfect electric conductor. If one million electrons are added to this sphere, these electrons will be distributed.
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Question 9 of 65
9. Question
The transfer function C(s) of a compensator is given below.
The frequency range in which the phase (lead) introduced by the compensator reaches the maximum is
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Question 10 of 65
10. Question
The figure show the perphase representation of a phaseshifting transformer connected between buses 1 and 2, where α is a complex number with nonzero real and imaginary parts.
For the given circuit, Y_{bus} and Z_{bus} are bus admittance matrix and bus impedance matrix, respectively, each of size 2× 2. Which one of the following statements is true?
CorrectIncorrect 
Question 11 of 65
11. Question
A phasecontrolled, singlephase, fullbridge converter is supplying a highly inductive DC load. The converter is fed from a 230 V, 50 Hz, AC source. The fundamental frequency in Hz of the voltage ripple on the DC side is
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Question 12 of 65
12. Question
Let x and y be integers satisfying the following equations
2x^{2} + y^{2} = 34
x + 2y = 11
The value of (x + y) is ________.
CorrectIncorrectHint
NAT Type Question

Question 13 of 65
13. Question
Consider a function f(x, y, z) given by f(x, y, z) = (x^{2} + y^{2} – 2z^{2}) (y^{2} + z^{2})
The partial derivative of this function with respect to x at the point, x = 2, y = 1 and z = 3 is ________
CorrectIncorrectHint
NAT Type Question

Question 14 of 65
14. Question
For the given 2port network, the value of transfer impedance Z_{21} in ohms is_______
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NAT Type Question

Question 15 of 65
15. Question
The initial charge in the 1 F capacitor present in the circuit shown is zero. The energy in joules transferred from the DC source until steady state condition is reached equals ______. (Give the answer up to one decimal place.)
CorrectIncorrectHint
NAT Type Question

Question 16 of 65
16. Question
The figure below shows the circuit diagram of a controlled rectifier supplied from a 230 V, 50 Hz, 1phase voltage source and a 10:1 ideal transformer. Assume that all devices are ideal. The firing angles of the thyristors T_{1} and T_{2} are 90° and 270°, respectively.
The RMS value of the current through diode D_{3} in amperes is ________
CorrectIncorrectHint
NAT Type Question

Question 17 of 65
17. Question
In a load flow problem solved by NewtonRaphson method with polar coordinates, the size of the Jacobian is 100×100. If there are 20 PV buses in addition to PQ buses and a slack bus, the total number of buses in the system is ________.
CorrectIncorrectHint
NAT Type Question

Question 18 of 65
18. Question
A 3phase, 4pole, 400 V, 50 Hz squirrelcage induction motor is operating at a slip of 0.02. The speed of the rotor flux in mechanical rad/sec, sensed by a stationary observer, is closest to
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Question 19 of 65
19. Question
Two resistors with nominal resistance values R_{1} and R_{2} have additive uncertainties ∆R_{1} and ∆R_{2}, respectively. When these resistances are connected in parallel, the standard deviation of the error in the equivalent resistance R is
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Question 20 of 65
20. Question
The nominal π circuit of a transmission line is shown in the figure.
Impedance and reactance X = 3300Ω. The magnitude of the characteristic impedance of the transmission line, in Ω, is _______________. (Give the answer up to one decimal place.)
CorrectIncorrectHint
NAT Type Question

Question 21 of 65
21. Question
The polezero plots of three discretetime systems P, Q and R on the zplane are shown below.
Which one of the following is TRUE about the frequency selectivity of these systems?
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Question 22 of 65
22. Question
The mean square value of the given periodic waveform f (t) is_________
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NAT Type Question

Question 23 of 65
23. Question
A stationary closed Lissajous pattern on an oscilloscope has 3 horizontal tangencies and 2 vertical tangencies for a horizontal input with frequency 3 kHZ. The frequency of the vertical input is
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Question 24 of 65
24. Question
Let y^{2} – 2y + 1 = x and √x + y = 5. The value of x + √y equals ______. (Give the answer up to three decimal places)
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NAT Type Question

Question 25 of 65
25. Question
If a synchronous motor is running at a leading power factor, its excitation induced voltage (E_{f}) is
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Question 26 of 65
26. Question
Which of the following systems has maximum peak overshoot due to a unit step input?
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Question 27 of 65
27. Question
Consider an overhead transmission line with 3phase, 50 Hz balanced system with conductors located at the vertices of an equilateral triangle of length D_{ab} = D_{bc} = D_{ca} = 1m as shown in figure below. The resistance of the conductors are neglected. The geometric mean radius (GMR) of each conductor is 0.01m. Neglecting the effect of ground, the magnitude of positive sequence reactance in Ω/ km (rounded off to three decimal places) is ________
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NAT Type Question

Question 28 of 65
28. Question
Two generating units rated 300 MW and 400 MW have governor speed regulation of 6% and 4% respectively from no load to full load. Both the generating units are operating in parallel to share a load of 600 MW. Assuming free governor action, the load shared by the larger unit is _______ MW.
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NAT Type Question

Question 29 of 65
29. Question
For the network given in figure below, the Thevenin‟s voltage V_{ab} is
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Question 30 of 65
30. Question
The output y(t) of the following system is to be sampled, so as to reconstruct it from its samples uniquely. The required minimum sampling rate is
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Question 31 of 65
31. Question
A 220 V, 10 kW, 900 rpm separately excited DC motor has an armature resistance R_{a} = 0.02Ω. When the motor operates at rated speed and with rated terminal voltage, the electromagnetic torque developed by the motor is 70 Nm. Neglecting the rotational losses of the machine, the current drawn by the motor from the 220 V supply is
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Question 32 of 65
32. Question
A cascade system having the impulse responses is shown in the figure below, where symbol ↑ denotes the time origin.
The input sequence x (n) for which the cascade system produces an output sequence is
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Question 33 of 65
33. Question
For the circuit shown in the figure below, it is given that The transistor has β = 29 and V_{BE} = 0.7 V when the BE junction is forward biased.
For this circuit, the value of is
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Question 34 of 65
34. Question
A 3phase, 2pole, 50 Hz, synchronous generator has a rating of 250 MVA, 0.8 pf lagging. The kinetic energy of the machine at synchronous speed is 1000 MJ. The machine is running steadily at synchronous speed and delivering 60 MW power at a power angle of 10 electrical degrees. If the load is suddenly removed, assuming the acceleration is constant for 10 cycles, the value of the power angle after 5 cycles is ________ electrical degrees.
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NAT Type Question

Question 35 of 65
35. Question
For the circuit shown below, assume that the OPAMP is ideal.
Which one of the following is TRUE?
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Question 36 of 65
36. Question
The root locus of the feedback control system having the characteristic equation s^{2} + 6Ks + 2s + 5 = 0 where K > 0, enters into the real axis at
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Question 37 of 65
37. Question
For the synchronous sequential circuit shown below, the output Z is zero for the initial conditions
The minimum number of clock cycles after which the output Z would again become zero is ________
CorrectIncorrectHint
NAT Type Question

Question 38 of 65
38. Question
In the circuit shown below, the value of capacitor C required for maximum power to be transferred to the load is
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Question 39 of 65
39. Question
In the circuit shown all elements are ideal and the switch S is operated at 10 kHz and 60% duty ratio. The capacitor is large enough so that the ripple across it is negligible and at steady state acquires a voltage as shown. The peak current in amperes drawn from the 50 V DC source is ________. (Give the answer up to one decimal place.)
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NAT Type Question

Question 40 of 65
40. Question
In the circuit shown in the figure, the diode used is ideal. The input power factor is _______. (Give the answer up to two decimal places.)
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NAT Type Question

Question 41 of 65
41. Question
Consider the system described by the following state space representation
If u(t) is a unit step input and the value of output y(t) at t = 1 sec (rounded off to three decimal places) is ________
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NAT Type Question

Question 42 of 65
42. Question
A starconnected, 12.5 kW, 208 V (line), 3phase, 60 Hz squirrel cage induction motor has following equivalent circuit parameters per phase referred to the stator: R_{1} = 0.3Ω, R_{2} = 0.3Ω, X_{1} = 0.41Ω, X_{2} = 0.41Ω Neglect shunt branch in the equivalent circuit. The starting current (in Ampere) for this motor when connected to an 80 V (line), 20 Hz, 3phase AC source is __________.
CorrectIncorrectHint
NAT Type Question

Question 43 of 65
43. Question
A 25 kVA, 400 V, ∆ – connected, 3phase, cylindrical rotor synchronous generator requires a field current of 5 A to maintain the rated armature current under shortcircuit condition. For the same field current, the opencircuit voltage is 360 V. Neglecting the armature resistance and magnetic saturation, its voltage regulation (in % with respect to terminal voltage), when the generator delivers the rated load at 0.8 pf leading, at rated terminal voltage is _________.
CorrectIncorrectHint
NAT Type Question

Question 44 of 65
44. Question
If the primary line voltage rating is 3.3 kV (Y side) of a 25 kVA. Y− ∆ transformer (the per phase turns ratio is 5:1), then the line current rating of the secondary side (in Ampere) is_____.
CorrectIncorrectHint
NAT Type Question

Question 45 of 65
45. Question
For the balanced YY connected 3Phase circuit shown in the figure below, the lineline voltage is 208 V rms and the total power absorbed by the load is 432 W at a power factor of 0.6 leading.
The approximate value of the impedance Z is
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Question 46 of 65
46. Question
A thin soap bubble of radius R = 1 cm, and thickness a = 3.3μm(a <<R), is at a potential of 1 V with respect to a reference point at infinity. The bubble bursts and becomes a single spherical drop of soap (assuming all the soap is contained in the drop) of radius r. The volume of the soap in the thin bubble is 4πR^{2}a and that of the drop is The potential in volts, of the resulting single spherical drop with respect to the same reference point at infinity is __________. (Give the answer up to two decimal places.)
CorrectIncorrectHint
NAT Type Question

Question 47 of 65
47. Question
The value of the contour integral in the complexplane
Along the contour Z = 3, taken counterclockwise is
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Question 48 of 65
48. Question
Let
Consider the composition of f and g, i.e., (f ∘ g) (x) = f(g(x)). The number of discontinuities in (f ∘ g) present in the interval (−∞, 0) is:
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Question 49 of 65
49. Question
A 120 V DC shunt motor takes 2 A at no load. It takes 7 A on full load while running at 1200 rpm. The armature resistance is 0.8 Ω, and the shunt field resistance is 240Ω. The no load speed, in rpm, is ________.
CorrectIncorrectHint
NAT Type Question

Question 50 of 65
50. Question
A 10 ½ digit timer counter possesses a base clock of frequency 100 MHz. When measuring a particular input, the reading obtained is the same in: (i) Frequency mode of operation with a gating time of one second and (ii) Period mode of operation (in the x 10 ns scale). The frequency of the unknown input (reading obtained) in Hz is _______
CorrectIncorrectHint
NAT Type Question

Question 51 of 65
51. Question
A person decides to toss a fair coin repeatedly until he gets a head. He will make at most 3 tosses. Let the random variable Y denote the number of heads. The value of var {Y} , where var {.} denotes the variance, equals
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Question 52 of 65
52. Question
The figure below shows a halfbridge voltage source inverter supplying an RLload with The desired fundamental frequency of the load voltage is 50 Hz. The switch control signals of the converter are generated using sinusoidal pulse width modulation with modulation index. M = 0.6. At 50 Hz, the RLload draws an active power of 1.44 kW. The value of DC source voltage V_{DC} in volts is
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Question 53 of 65
53. Question
The range of K for which all the roots of the equation s^{3} + 3s^{2} + 2s + K = 0 are in the left half of the complex splane is
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Question 54 of 65
54. Question
The eigen values of the matrix given below are
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Question 55 of 65
55. Question
A 3phase 50 Hz generator supplies power of 3MW at 17.32 kV to a balanced 3phase inductive load through an overhead line. The per phase line resistance and reactance are 0.25Ω and 3.925Ω respectively. If the voltage at the generator terminal is 17.87 kV, the power factor of the load is ________.
CorrectIncorrectHint
NAT Type Question

Question 56 of 65
56. Question
There are five buildings called V, W, X, Y and Z in a row (not necessarily in that order). V is to the West of W, Z is to the East of X and the West of V, W is to the West of Y. Which is the building in the middle?
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Question 57 of 65
57. Question
Saturn is _________ to be seen on a clear night with the naked eye.
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Question 58 of 65
58. Question
Choose the option with words that are not synonyms.
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Question 59 of 65
59. Question
There are 3 red socks, 4 green socks and 3 blue socks. You choose 2 socks. The probability that they are of the same colour is
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Question 60 of 65
60. Question
A test has twenty questions worth 100 marks in total. There are two types of questions. Multiple choice questions are worth 3 marks each and essay questions are worth 11 marks each. How many multiple choice questions does the exam have?
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Question 61 of 65
61. Question
An air pressure contour line joins locations in a region having the same atmospheric pressure. The following is an air pressure contour plot of a geographical region. Contour lines are shown at 0.05 bar intervals in this plot.
If the possibility of a thunderstorm is given by how fast air pressure rises or drops over a region, which of the following regions is most likely to have a thunderstorm?
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Question 62 of 65
62. Question
There are three boxes. One contains apples, another contains oranges and the last one contains both apples and oranges. All three are known to be incorrectly labelled. If you are permitted to open just one box and then pull out and inspect only one fruit, which box would you open to determine the contents of all three boxes?
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Question 63 of 65
63. Question
“We lived in a culture that denied any merit to literary works, considering them important only when they were handmaidens to something seemingly more urgent – namely ideology. This was a country where all gestures, even the most private, were interpreted in political terms.”
The author’s belief that ideology is not as important as literature is revealed by the word:
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Question 64 of 65
64. Question
X is a 30 digit number starting with the digit 4 followed by the digit 7. Then the number 3 X will have
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Question 65 of 65
65. Question
The number of roots of e^{x} + 0.5x^{2} – 2 = 0 in the range [−5, 5] is
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