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Question 1 of 65
1. Question
Consider the circuit shown in the figure.
The Boolean expression F implemented by the circuit is
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Question 2 of 65
2. Question
An LTI system with unit sample response h[n] = 5δ[n] – 7δ[n – 1] + 7δ[n – 3] – 5δ[n – 4] is a
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Question 3 of 65
3. Question
In the circuit shown, V is a sinusoidal voltage source. The current I is in phase with voltage V. The ratio is _______.
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NAT Type Question

Question 4 of 65
4. Question
In a DRAM,
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Question 5 of 65
5. Question
Consider an nchannel MOSFET having width W, length L, electron mobility in the channel μ_{n} and oxide capacitance per unit are C_{0%}. If gatetosource voltage V_{GS} = 0.7V, draintosource voltage V_{DS} = 0.1V, (μ_{n}C_{0%}) = 100μA/V^{2}, threshold voltage V_{TH} = 0.3 V and (W/L) = 50 then the transconductance g_{m}(in mA/V) is _______.
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NAT Type Question

Question 6 of 65
6. Question
Two conducting spheres S1 and S2 of radii a and b (b>a) respectively, are placed far apart and connected by a long, thin conducting wire, as shown in the figure.
For some charge placed on this structure, the potential and surface electric field on S1 are V_{a} and E_{a}, and that on S2 are V_{b} and E_{b}, respectively, which of the following is CORRECT?
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Question 7 of 65
7. Question
For the circuit shown in the figure, P and Q are the inputs and Y is the output.
The logic implemented by the circuit is
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Question 8 of 65
8. Question
An nchannel enhancement mode MOSFET is biased at V_{GS} > V_{TH} and V_{DS} > (V_{GS} – V_{TH}), where V_{GS} is the gatetosource voltage, V_{DS} is the draintosource voltage and V_{TH} is the threshold voltage. Considering channel length modulation effect to be significant, the MOSFET behaves as a
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Question 9 of 65
9. Question
A connection is made consisting of resistance A in series with a parallel combination of resistances B and C. Three resistors of value 10Ω, 5Ω, 2Ω are provided. Consider all possible permutations of the given resistors into the positions A, B, C, and identify the configurations with maximum possible overall resistance, and also the ones with minimum possible overall resistance. The ratio of maximum to minimum values of the resistances (up to second decimal place) is ____________.
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NAT Type Question

Question 10 of 65
10. Question
An npn bipolar junction transistor (BJT) is operating in the active region. If the reverse bias across the base – collector junction is increased, then
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Question 11 of 65
11. Question
Consider the state space realization with the initial condition where u(t) denotes the unit step function. The value of is _______.
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NAT Type Question

Question 12 of 65
12. Question
The rank of the matrix is _______.
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NAT Type Question

Question 13 of 65
13. Question
A two – wire transmission line terminates in a television set. The VSWR measured on the line is 5.8. The percentage of power that is reflected from the television set is ______________
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NAT Type Question

Question 14 of 65
14. Question
The input x(t) and the output y (t) of a continuoustime system are related as The system is
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Question 15 of 65
15. Question
Which of the following statements is incorrect?
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Question 16 of 65
16. Question
The residues of a function are
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Question 17 of 65
17. Question
A sinusoidal message signal is converted to a PCM signal using a uniform quantizer. The required signaltoquantization noise ratio (SQNR) at the output of the quantizer is 40dB. The minimum number of bits per sample needed to achieve the desired SQNR is _______
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NAT Type Question

Question 18 of 65
18. Question
The general solution of the differential equation in terms of arbitrary constants K_{1} and K_{2} is
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Question 19 of 65
19. Question
Which one of the following graphs shows the Shannon capacity (channel capacity) in bits of a memory less binary symmetric channel with crossover probability P?
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Question 20 of 65
20. Question
The output V_{0} of the diode circuit shown in the figure is connected to an averaging DC voltmeter. The reading on the DC voltmeter in Volts, neglecting the voltage drop across the diode, is ____________.
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NAT Type Question

Question 21 of 65
21. Question
Consider the random process X(t) = U + Vt, where U is a zeromean Gaussian random variable and V is a random variable uniformly distributed between 0 and 2. Assume that U and V are statistically independent. The mean value of the random process at t = 2 is ____________
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NAT Type Question

Question 22 of 65
22. Question
For the system shown in the figure, Y (s) / X (s) = __________.
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NAT Type Question

Question 23 of 65
23. Question
The smaller angle (in degrees) between the planes x + y + z =1 and 2x – y + 2z = 0 is ________.
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NAT Type Question

Question 24 of 65
24. Question
Consider the circuit shown in the figure. Assume baseto emitter voltage V_{BE}=0.8 V and common base current gain (α) of the transistor is unity.
The value of the collector to – emitter voltage V_{CE} (in volt) is _______.
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NAT Type Question

Question 25 of 65
25. Question
In the figure, D1 is a real silicon pn junction diode with a drop of 0.7V under forward bias condition and D2 is a zener diode with breakdown voltage of 6.8 V. The input Vin(t) is a periodic square wave of period T, whose one period is shown in the figure.
Assuming 10τ << T.where τ is the time constant of the circuit, the maximum and minimum values of the output waveform are respectively,
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Question 26 of 65
26. Question
If the vector is irrotational, then the values of the constants k_{1}, k_{2} and k_{3} respectively, are
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Question 27 of 65
27. Question
The unmodulated carrier power in an AM transmitter is 5kW. This carrier is modulated by a sinusoidal modulating signal. The maximum percentage of modulation is 50%. If it is reduced to 40%, then the maximum unmodulated carrier power (in kW) that can be used without overloading the transmitter is ___________
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NAT Type Question

Question 28 of 65
28. Question
Consider an LTI system with magnitude response
And phase response Arg {H(f)} = −2f.
If the input to the system is
Then the average power of the output signal y(t) is
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NAT Type Question

Question 29 of 65
29. Question
A MOS capacitor is fabricated on ptype Si (silicon) where the metal work function is 4.1 eV and electron affinity of Si is 4.0 eV. E_{C} – F_{F} = 0.9 eV, where E_{C} and E_{F} are the conduction band minimum and the Fermi energy levels of Si, respectively. Oxide ∈_{r} = 3.9, ∈_{0} = 8.85 × 10^{−14} F/cm. oxide thickness t_{ox} = 0.1 μm and electronic charge q = 1.6 × 10^{−19} C. If the measured flat band voltage of the capacitor is −1V, then the magnitude of the fixed charge at the oxidesemiconductor interface, in nC/cm^{2}, is ______.
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NAT Type Question

Question 30 of 65
30. Question
An electron (q_{1}) is moving in free space with velocity 10^{5} m/s towards a stationary electron (q_{2}) far away. The closest distance that this moving electron gets to the stationary electron before the repulsive force diverts its path is _______×10^{−}^{8}
[Given, mass of electron m = 9.11 × 10^{−31} kg, charge of electron e = −1.6 × 10^{−19} C, and permittivity ε_{0} = (1/36π) × 10^{−9} F/m]
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Question 31 of 65
31. Question
The values of the integrals are
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Question 32 of 65
32. Question
Passengers try repeatedly to get a seat reservation in any train running between two stations until they are successful. If there is 40% chance of getting reservation in any attempt by a passenger, then the average number of attempts that passengers need to make to get a seat reserved is _________.
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Question 33 of 65
33. Question
Figure I shows a 4bits ripple carry adder realized using full adders and Figure II shows the circuit of a fulladder (FA). The propagation delay of the XOR, AND and OR gates in Figure II are 20 ns, 15 ns and 10 ns respectively. Assume all the inputs to the 4bit adder are initially reset to 0.
At t=0, the inputs to the 4bit adder are changed to
X_{3}X_{2}X_{1}X_{0} = 1100, Y_{3}Y_{2}Y_{1}Y_{0} = 0100 and Z_{0} = 1.
The output of the ripple carry adder will be stable at t (in ns) = ___________
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NAT Type Question

Question 34 of 65
34. Question
The permittivity of water at optical frequencies is 1.75 ε_{0} . It is found that an isotropic light source at a distance d under water forms an illuminated circular area of radius 5m, as shown in the figure. The critical angle is θ_{c}.
The value of d (in meter) is _____________
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NAT Type Question

Question 35 of 65
35. Question
A unity feedback control system is characterized by the openloop transfer function . The Nyquist path and the corresponding Nyquist plot of G(s) are shown in the figures below.
If 0 < K < 1, then the number of poles of the closedloop transfer function that lie in the right –half of the splane is
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Question 36 of 65
36. Question
The signal x(t) = sin(14000πt), where t is in seconds is sampled at a rate of 9000 samples per second. The sampled signal is the input to an ideal low pass filter with frequency response H(f) as follows :
What is the number of sinusoids in the output and their frequencies in kHz?
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Question 37 of 65
37. Question
A unity feedback control system is characterized by the openloop transfer function
The value of k for which the system oscillates at 2 rad/s is ________.
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NAT Type Question

Question 38 of 65
38. Question
Consider the circuit shown in the figure.
The Thevenin equivalent resistance (in Ω ) across P – Q is _________.
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NAT Type Question

Question 39 of 65
39. Question
The transfer function of a causal LTI system is H(s) = 1/s. If the input to the system is x(t) = [sin(t)/πt]u(t), where u(t) is a unit step function, the system output y(t) as t → ∞ is ______.
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Question 40 of 65
40. Question
An integral I over a counter clock wise circle C is given by . If C is defined as z = 3, then the value of I is
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Question 41 of 65
41. Question
Consider a binary memory less channel characterized by the transition probability diagram shown in the figure.
The channel is
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Question 42 of 65
42. Question
An abrupt pn junction (located at x = 0) is uniformly doped on both p and n sides. The width of the depletion region is W and the electric field variation in the xdirection is E(x). Which of the following figures represents the electric field profile near the pn junction?
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Question 43 of 65
43. Question
A second – order LTI system is described by the following state equations,
Where x_{1} (t) and x_{2}(t) are the two state variables and r(t) denotes the input. The output c(t) = x_{1}(t). The system is
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Question 44 of 65
44. Question
Consider the parallel combination of two LTI systems shown in the figure.
The impulse responses of the systems are
h_{1}(t) = 2δ(t + 2) – 3δ(t + 1)
h_{2}(t) = δ(t – 2)
If the input x(t) is a unit step signal, then the energy of y(t) is ____________.
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Question 45 of 65
45. Question
Assuming that transistors M_{1} and M_{2} are identical and have a threshold voltage of 1V, the state of transistors M_{1} and M_{2} are respectively.
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Question 46 of 65
46. Question
A programmable logic array (PLA) is shown in the figure.
The Boolean function F implemented is
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Question 47 of 65
47. Question
A modulating signal given By x(t) = 5 sin(4π10^{3}t – 10π cos 2π10^{3}t)V is fed to a phase modulator with phase deviation constant k_{p} = 0.5 rad/V. If the carrier frequency is 20 kHz, the instantaneous frequency (in kHz) at t = 0.5 ms is __________
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Question 48 of 65
48. Question
The minimum value of the function in the interval −100 ≤ x ≤ 100 occurs at x = _____.
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NAT Type Question

Question 49 of 65
49. Question
The switch in the circuit, shown in the figure, was open for a long time and is closed at t = 0. The current i(t) (in ampere) at t = 0.5 seconds is ________
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NAT Type Question

Question 50 of 65
50. Question
In the voltage reference circuit shown in the figure, the opamp is ideal and the transistors Q_{1}, Q_{2}….., Q_{32} are identical in all respects and have infinitely large values of common – emitter current the relation I_{C} = I_{S} exp ((V_{BE}/V_{T}), where I_{s} is the saturation current. Assume that the voltage V_{P} shown in the figure is 0.7 V and the thermal voltage V_{T} = 26m V.
The output voltage V_{out}(in volts) is __________.
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Question 51 of 65
51. Question
The state diagram of a finite state machine (FSM) designed to detect an overlapping sequence of three bits is shown in the figure. The FSM has an input „In‟ and an output „Out‟. The initial state of the FSM is S_{0}.
If the input sequence is 10101101001101, starting with the leftmost bit, then the number times „Out‟ will be 1 is __________.
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Question 52 of 65
52. Question
Standard air – filled rectangular waveguides of dimensions a = 2.29 cm and b= 1.02 cm are designed for radar applications. It is desired that these waveguides operate only in the dominatnt TE_{10} mode but not higher than 95% of the next higher cutoff frequency. The range of the allowable operating frequency f is
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Question 53 of 65
53. Question
For a particular intensity of incident light on a silicon pn junction solar cell, the photocurrent density (J_{L}) is 2.5 mA/cm^{2} and the opencircuit voltage (V_{oc}) is 0.451 V. Consider thermal voltage (V_{T}) to be 25 mV. If the intensity of the incident light is increased by 20 times, assuming that the temperature remains unchanged V_{∝} (in volts) will be _______.
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Question 54 of 65
54. Question
In the circuit shown, transistors Q_{1} and Q_{2} are biased at a collector current of 2.6mA. Assuming that transistor current gains are sufficiently large to assume collector current equal to emitter current and thermal voltage of 26 mV, the magnitude of voltage gain V_{0}/Vs in the midband frequency range is _____________ (up to second decimal place).
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Question 55 of 65
55. Question
Two nchannel MOSFETs, T1 and T2, are identical in all respects except that the width of T2 is double that of T1. Both the transistors are biased in the saturation region of operation, but the gate overdrive voltage of T2 is double that of T1, where V_{GS} and V_{TH} are the gate – to – source voltage and threshold voltage of the transistors, respectively. If the drain current and transconductance of T_{1} are I_{D1} and g_{m1} respectively, the corresponding values of these two parameters for T2 are
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Question 56 of 65
56. Question
The ninth and the tenth of this month are Monday and Tuesday ___________.
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Question 57 of 65
57. Question
500 students are taking one or more courses out of Chemistry, Physics, and Mathematics. Registration records indicate course enrolment as follows: Chemistry (329). Physics (186). Mathematics (295). Chemistry and Physics (83), Chemistry and Mathematics (217), and Physics and Mathematics (63). How many students are taking all 3 subjects?
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Question 58 of 65
58. Question
It is _________ to read this year’s textbook __________ the last year’s.
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Question 59 of 65
59. Question
Fatima starts from point P, goes North for 3 km, and then East for 4km to reach point Q. She then turns to face point P and goes 15km in that direction. She then goes North for 6km. How far is she from point P, and in which direction should she go to reach point P?
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Question 60 of 65
60. Question
A rule states that in order to drink beer one must be over 18 years old. In a bar, there are 4 people. P is 16 years old, Q is 25 years old, R is drinking milkshake and S is drinking beer. What must be checked to ensure that the rule is being followed?
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Question 61 of 65
61. Question
Each of P, Q, R, S, W, X, Y and Z has been married at most once. X and Y are married and have two children P and Q. Z is the grandfather of the daughter S of P. Z and W are married and are parents of R. Which one of the following must necessarily be FALSE?
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Question 62 of 65
62. Question
The number of 3digit numbers such that the digit 1 is never to the immediate right of 2 is
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Question 63 of 65
63. Question
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 lines are shown at 25m intervals in this plot.
Which of the following is the steepest path leaving from P?
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Question 64 of 65
64. Question
1200 men and 500 women can build a bridge in 2weeks. 900men and 250 women will take 3 weeks to build the same bridge. How many men will be needed to build the bridge in one week?
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Question 65 of 65
65. Question
“If you are looking for a history of India, or for an account of the rise and fall of the British Raj, or for the reason of the cleaving of the subcontinent into two mutually antagonistic parts and the effects this mutilation will have in the respective section, and ultimately on Asia, you will not find it in these pages; for though I have spent a lifetime in the country, I lived too near the seat of events, and was too intimately associated with the actors, to get the perspective needed for the impartial recording of these matters.”
Which of the following statements best reflects the author’s opinion?
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