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Practice Test: Electronics Engineering (ECE)- 13 - Question 1

The average of 8 numbers is 27. If each of the numbers is multiplied by 8, find the average of new set of numbers.

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 1

Practice Test: Electronics Engineering (ECE)- 13 - Question 2

The product of two numbers is 2028 and their H.C.F is 13. The numbers of such pair is:

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 2

Practice Test: Electronics Engineering (ECE)- 13 - Question 3

Which pair of numbers will come in place of the missing numbers.

4,10,__,___, 244,730,2188

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 3

Practice Test: Electronics Engineering (ECE)- 13 - Question 4

Refer the below data table and answer the following Question.

If the GDP of the country was $8 trillion at the end of 2011, what was it at the beginning of 2013?

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 4

Practice Test: Electronics Engineering (ECE)- 13 - Question 5

Select the most appropriate synonym of the given word.

Solicit

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 5

Practice Test: Electronics Engineering (ECE)- 13 - Question 6

In the following question, a sentence is given with a blank to be filled in with an appropriate word. Select the correct alternative out of the four and indicate it by selecting the appropriate option.

The little boy ran ____ fast that he was ____ for breath.

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 6

Practice Test: Electronics Engineering (ECE)- 13 - Question 7

Select the most appropriate option to fill in the blank.

Although his brother is blind, he is very fast _________ calculations.

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 7

Practice Test: Electronics Engineering (ECE)- 13 - Question 8

The monthly salaries of A. Band C are in the ratio 2 :3 :5. If C's monthly salary is Rs. 12,000 more than that of A, then B's annual salary is

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 8

Practice Test: Electronics Engineering (ECE)- 13 - Question 9

Mathew told his friend Sham, pointing to a photograph, “Her father is the only son of my mother.” The photograph is of whom?

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 9

Practice Test: Electronics Engineering (ECE)- 13 - Question 10

Round-trip tickets to a tourist destination are eligible for a discount of 10% on the total fare. In addition, groups of 4 or more get a discount of 5% on the total fare. If the one-way ticket fare of the trip for single person is Rs 100, a group of 5 tourists purchasing round-trip tickets will be charged Rs____.

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 10

Practice Test: Electronics Engineering (ECE)- 13 - Question 11

In the following figure, the J and K inputs of all the four Flip-Flops are made high. The frequency of the signal at output Y is

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 11

Practice Test: Electronics Engineering (ECE)- 13 - Question 12

Determine V_{o} (in Volts) in the given network.

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 12

Practice Test: Electronics Engineering (ECE)- 13 - Question 13

Consider the lossless transmission line circuit shown in the figure, The voltage standing wave ratio on 50 Ω line is given by

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 13

Practice Test: Electronics Engineering (ECE)- 13 - Question 14

The output of a continuous-time, linear time-invariant system is represented by T{x(t)} where x(t) is the input signal. A signal z(t) is called eigen-signal of the system T, when T{z(t)} = Y z(t) , where Y is a complex number, in general, and is called an eigen-value of T. Assume the impulse response of the system T is real and even. Then which of the following statements is TRUE?

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 14

Practice Test: Electronics Engineering (ECE)- 13 - Question 15

Given x(t) = e^{−t}u(t). Find the inverse laplace transform of e^{−3}sX(2s).

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 15

Practice Test: Electronics Engineering (ECE)- 13 - Question 16

For the given signal, x(t) = 3 cos 80πt, determine the sampling frequency(in Hz) at which aliasing will take place.

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 16

Practice Test: Electronics Engineering (ECE)- 13 - Question 17

Find the differential equation of the system described by the transfer function given as:

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 17

Practice Test: Electronics Engineering (ECE)- 13 - Question 18

Let the state transition matrix of a system be given as

Then which of the following is equal to φ^{-1}(t)

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 18

Practice Test: Electronics Engineering (ECE)- 13 - Question 19

The built-in potential of an abrupt p-n junction is 0.75 V. If its junction capacitance (Q) at a reverse bias (V_{R}) of 1.25 V is 5 pF, the value of C_{J} (in pF) when V_{R} = 7.25 V is________.

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 19

Practice Test: Electronics Engineering (ECE)- 13 - Question 20

A Si Solar cell has short-circuited current of 100 mA and open-circuit voltage of 0.7 V under full illumination. If the fill factor is 0.71 then the Maximum power delivered (in mW) to load by this cell is

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 20

Practice Test: Electronics Engineering (ECE)- 13 - Question 21

Assume electronic charge q = 1.6×10^{−19}C, kT/q = 25mV and electron mobility μ_{n} = 1000cm^{2}/V−s. If the concentration gradient of electrons injected into a P-type silicon sample is 1×10^{21} cm^{4}, the magnitude of electron diffusion current density (in A/cm^{2}) is _________.

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 21

Practice Test: Electronics Engineering (ECE)- 13 - Question 22

In an abrupt p-n junction, the doping concentrations on the p-side and n-side are NA = 9 X 10^{16} /cm^{3} and N_{D} = 1 X 10^{16} /cm^{3} respectively. The p-n junction is reverse biased and the n-side depletion width is 3μm. The depletion width on the p-side is

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 22

Practice Test: Electronics Engineering (ECE)- 13 - Question 23

The voltage gain of an amplifier is 100. A negative feedback is applied with β = 0.04. The overall gain of the amplifier is:

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 23

Practice Test: Electronics Engineering (ECE)- 13 - Question 24

For common emitter input characteristics V_{CE} is 6V and V_{BE} is changed from 0.32 to 0.8V also base current changes from 40μA to 60μA, then by using the given data calculate the input impedance (in KΩ) kept V_{CE} constant.

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 24

Practice Test: Electronics Engineering (ECE)- 13 - Question 25

Consider two resistors of 50 kΩ and 100 kΩ at room temperature of 27ºC. These resistors are passing a signal of bandwidth 50 kHz. Let N_{1} and N_{2} be the noise voltage generated while operating in series and parallel configuration, respectively. Determine N_{1} and N_{2}.

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 25

*Answer can only contain numeric values

Practice Test: Electronics Engineering (ECE)- 13 - Question 26

A receiver has been operating at 290 K and receiving a signal of bandwidth 400 kHz. The amplifier used in the receiver has an average output resistance of 1.5 kΩ. This will lead to Johnson noise voltage of ________ μV.

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 26

Practice Test: Electronics Engineering (ECE)- 13 - Question 27

An amplifier operating over the frequency range of 18 to 20 MHz has a 10kΩ input resistance. The RMS noise voltage at the input to the amplifier at ambient temperature is (assume Boltzman’s constant

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 27

Practice Test: Electronics Engineering (ECE)- 13 - Question 28

The return loss due to a 150W cable terminated by a 100W load is _______________ (in dB)

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 28

*Answer can only contain numeric values

Practice Test: Electronics Engineering (ECE)- 13 - Question 29

What is the maximum torque (in Nm) on a square loop of 200 turns in a field of uniform flux density of 1 Wb/m^{2}. The loop has 15cm side and carries a current of 5A.

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 29

Practice Test: Electronics Engineering (ECE)- 13 - Question 30

Consider the following sequential circuit consisting of 2 J-K flip flops and D flip flop :

The Mod value for this counter is_____________.

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 30

Practice Test: Electronics Engineering (ECE)- 13 - Question 31

The maximum number of Boolean expression that can be formed for the function f(x,y,z) satisfying the relation

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 31

Practice Test: Electronics Engineering (ECE)- 13 - Question 32

When two 8-bit numbers A_{7}…A_{0} and B_{7}…B_{0} in 2’s complement representation (with A_{0} and B_{0} as the least significant bits) are added using a ripple-carry adder, the sum bits obtained are S_{7}….S_{0} and the carry bits are C_{7}…..C_{0}. An overflow is said to have occurred if

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 32

Practice Test: Electronics Engineering (ECE)- 13 - Question 33

If then z lies on where w and z are complex numbers

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 33

Practice Test: Electronics Engineering (ECE)- 13 - Question 34

Two linearly independent solutions of the homogeneous equation, x^{2}y” + xy’ + y = 0 , are

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 34

Practice Test: Electronics Engineering (ECE)- 13 - Question 35

In a broadcast super heterodyne receiver the quality factor of antenna coupling circuit is 150, if the intermediate frequency is 455 KHz, then the image rejection ratio at 20 MHz is.

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 35

Practice Test: Electronics Engineering (ECE)- 13 - Question 36

What is the expression for the minimum conductivity σ_{min}?

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 36

Practice Test: Electronics Engineering (ECE)- 13 - Question 37

A 700 mW maximum power dissipation diode at 25 °C has 5 mW/oC de-rating factor. If the forward voltage drop remains constant at 0.7 V, the maximum forward current at 65 °C is

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 37

Practice Test: Electronics Engineering (ECE)- 13 - Question 38

A Ge sample at room temperature has intrinsic carrier concentration, n = 1.5 × 10^{13} cm^{-3} and is uniformly doped with acceptor of 3 × 10^{16} cm^{-3} and donor of 2.5 × 10^{15} cm^{-3 }. Then, the minority charge carrier concentration is:

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 38

Practice Test: Electronics Engineering (ECE)- 13 - Question 39

What is the image rejection ratio when a super heterodyne receiver with quality factor of 50 is tuned with fs = 800 KHz and local oscillator frequency is 1250 KHz.

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 39

Practice Test: Electronics Engineering (ECE)- 13 - Question 40

The transistor in the amplifier circuit shown in figure is biased at I_{C} = 1 mA. Use V_{T} = 26 mV , β = 200,r_{b} = 0 and r_{0} → ∞

What is the required value of C_{E} for the circuit to have a lower cut off frequency of 10Hz is

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 40

Practice Test: Electronics Engineering (ECE)- 13 - Question 41

A shooter P hits the target with probability of 1/2 but is allowed only one shot whereas the shooter Q hits with probability of 1/4 but takes two shots. A shooter R hits with probability of 1/8 and is allowed five shots. In a competition, it is probable that:

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 41

Practice Test: Electronics Engineering (ECE)- 13 - Question 42

Let A ϵ M_{3} (R) be such that det (A-I) = 0, where I denotes the 3 x 3 identity matrix. If the trace of A = 13 and det A = 32, then the sum of squares of the eigen values of A is _________.

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 42

Practice Test: Electronics Engineering (ECE)- 13 - Question 43

An angle modulated wave is given as follows x(t) = 50 cos[2π × 10^{6}t + 0.001 cos 2π(500)t]

Find the bandwidth of the signal and the instantaneous frequency of the signal at t = 2ms respectively.

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 43

Practice Test: Electronics Engineering (ECE)- 13 - Question 44

The inverse fourier transform of e^{-6ω}u(ω) + e^{6ω}u(ω)

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 44

Practice Test: Electronics Engineering (ECE)- 13 - Question 45

Consider the state-variable model of the system given by

The transfer function of the system is given by

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 45

Practice Test: Electronics Engineering (ECE)- 13 - Question 46

Consider the signal s(t) shown in the figure, which is the output of an AWGN (Additive White Gaussian Noise) channel with two-sided noise PSD (Power Spectral Density) of 0.5W/Hz. If the signal is given as an input to a matched filter to s(t), then the slope of the output signal for 2V.

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 46

Practice Test: Electronics Engineering (ECE)- 13 - Question 47

Constellation diagram of a binary modulation scheme is given below.

The two equiprobable symbols shown in the diagram are transmitted through an AWGN (Additive White Gaussian Noise) channel with one-sided PSD (Power Spectral Density) of 0.5W/Hz. If the correlator receiver with optimum threshold detection is used at the receiver end, then the bit error rate (BER) of the system is given by,

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 47

*Answer can only contain numeric values

Practice Test: Electronics Engineering (ECE)- 13 - Question 48

Find the resonant frequency (in Hz) of the circuit given below:

[Write the Answer upto two decimal point]

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 48

Practice Test: Electronics Engineering (ECE)- 13 - Question 49

If V_{c}(t) = 4 cos (10^{5}t) Volts in the circuit given below, then find the value of V_{z}

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 49

Practice Test: Electronics Engineering (ECE)- 13 - Question 50

The Figure shows two signals x(t) and h(t) as

Which of the waveform in the options corresponds to denotes convolution.

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Practice Test: Electronics Engineering (ECE)- 13 - Question 51

Consider the causal discrete time system shown below, minimum magnitude of K for which system become unstable is

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 51

Practice Test: Electronics Engineering (ECE)- 13 - Question 52

Consider a discrete time periodic signal of period N = 6 of whose one period is given as follows

The discrete time Fourier series coefficients of x[n] is given as

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 52

Practice Test: Electronics Engineering (ECE)- 13 - Question 53

In the given oscillator circuit, find the values of C_{1} and C_{2} that would make the bridge balanced

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 53

Practice Test: Electronics Engineering (ECE)- 13 - Question 54

A speech signal, band limited to 5 KHz with peak to peak between +10 V to – 10 V and the signal is sampled at Nyquist rate and the bits 0 and 1 are transmitted using bipolar pulses. What is minimum bandwidth for distortion free transmission ….

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 54

*Answer can only contain numeric values

Practice Test: Electronics Engineering (ECE)- 13 - Question 55

Two identical transistors are cascaded as follows with β = 100. The overall voltage gain would be

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 55

*Answer can only contain numeric values

Practice Test: Electronics Engineering (ECE)- 13 - Question 56

A radio antenna pointed in a direction of the sky has a noise temperature of 50 kHz. The antenna feeds the received signal to the preamplifier which has a gain of 35 dB over a bandwidth of 10 MHz and a noise figure of 2 dB. Then the noise power at output of the preamplifier is _____(pW)

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 56

Practice Test: Electronics Engineering (ECE)- 13 - Question 57

A load of 1 KΩ is connected to a diode detector which is shunted by a 10kpF capacitor. The diode has a forward resistance of 1 Ω. The maximum permissible depth of modulation, so as to avoid diagonal clipping and modulating signal frequency of 10kHz will be

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 57

Practice Test: Electronics Engineering (ECE)- 13 - Question 58

An n-type silicon sample is uniformly illuminated with light which generates 1020 electron hole pairs per cm^{3} second. The minority carrier lifetime in the sample is 1 μs. In the steady state, the hole concentration in the sample is approximately 10x, where x is an integer. The value of x is___

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 58

*Answer can only contain numeric values

Practice Test: Electronics Engineering (ECE)- 13 - Question 59

In an air-filled rectangular waveguide with a = 2.286cm and b = 1.016cm , the y-component of the TE mode is given by

Then the intrinsic impedance (in Ω) is

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 59

Practice Test: Electronics Engineering (ECE)- 13 - Question 60

A coaxial capacitor of inner radius 1 mm and outer radius 5 mm has a capacitance per unit length of 172 pF/m. If the ratio of outer radius to inner radius is doubled, the capacitance per unit length (in pF/m) is ___.

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 60

Practice Test: Electronics Engineering (ECE)- 13 - Question 61

The intermediate frequency of an AM superheterodyne receiver is 460kHz and the local oscillator frequency {f_{LO}) of the mixer is set at the higher of the two possible values, such that f_{LO} > fc always. If the carries frequency {f_{C} of the receiver signal is 700kHz, then the carrier frequency of the corresponding image signal will be kHz

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 61

Practice Test: Electronics Engineering (ECE)- 13 - Question 62

Which of the above statements is correct?

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 62

Practice Test: Electronics Engineering (ECE)- 13 - Question 63

Pick out the 'TRUE' from the following?

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 63

Practice Test: Electronics Engineering (ECE)- 13 - Question 64

A dc voltage of 10 V is applied across an n-type silicon bar having a rectangular cross-section and a length of 1 cm as shown in figure. The donor doping concentration ND and the mobility of electrons μs are 10^{16} cm^{-3} and 1000 cm^{2}V^{–1}s^{–1}, respectively. The average time (in μs) taken by the electrons to move from one end of the bar to other end is__________

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 64

Practice Test: Electronics Engineering (ECE)- 13 - Question 65

Assuming that flip-flops are in reset condition initially, the count sequence observed at QA in the circuit shown is

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 13 - Question 65

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