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GATE 2020: Toppers Mini Mock Quiz 3 (App update required to attempt this test)

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Question 1

In the figure shown below,

the output waveform of the circuit can be represented as

Question 2

A Schmitt trigger is shown in figure. The zener-diode maintains the output between +5 to -What will be the hysteresis band( in Volts) of this circuit?

Question 3

The common-base amplifier is drawn as a two-port in fig. The parameters are and .

the h-parameter is

Question 4

A bipolar transistor is operating in the active region with a collector current of 1mA. Assuming that the β of the transistor is 100 and the thermal voltage (VT) is 25 mV, the transconductance (gm) and the input resistance (rπ) of the transistor in the common emitter configuration, are

Question 5

The clipping circuit is shown in figure whose input varies from -100V to +100V. If the input varies from 20V to 30V then what will be the slope of the transfer characteristics. (Assume diodes are ideal)

Question 6

Which of the following options best describes the system y (n) = x (n) - 4 x (n-1) based on memory and time variance or invariance?

Question 7

If A is 5x5 order skew symmetric matrix then maximum possible rank is

Question 8

Let u(t) be the step function. Which of the following waveforms corresponds to the convolution of u(t) – u(t – 1) with u(t) – u(t – 2)?

Question 9

The gain margin for the system with open-loop transfer function,Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC-ME-17-Mar\GATE-ECE-2004_files\image063.png is

Question 10

An angle modulated wave is given as follows

Find the bandwidth of the signal and the instantaneous frequency of the signal at respectively.

Question 11

The transfer function of the circuit shown below is

Question 12

Consider a silicon sample at T=300K, with a uniform donor density illuminated uniformly such that the optical generation rate isthroughout the sample. The incident radiation is turned off at t=0. Assume low-level injection to be valid and ignore surface effects. The carrier lifetimes are


The hole concentration at t = 0 and the hole concentration at t = 0.3ms, respectively, are

Question 13

A swimmer swims from a point P against a current for 8 minutes and then swims backwards in favor of the current for the next 8 minutes and then come back to Q. If PQ is 200 meters, the speed of the current (in kmph) is:

Question 14

If a first order system and its time response to a unit step input are as shown below, The gain K is

Question 15

If a + b + c = 8 and ab + bc + ca = 12, then a3 + b3 + c3 - 3abc is equal to:

Question 16

The Boolean expression.

can be minimized to:

Question 17

What is the minimum number of 2-input NOR gates required to implement a 4-variable function expressed in sum of min terms form as f = Σ (1, 3, 4, 6, 9, 11, 12, 14)? Assume that all the inputs and their complements are available.

Question 18

spectral density of

Output SNR at the receiver is

Question 19

If the execution of SHLD DFFFH is going on and in between if RST 5.5 interrupt pin is made high and after some time RST 7.5 interrupt pin is made high and both remains high till the execution of SHLD DFFFH instruction then what will happen?

Question 20

If a : b = 2 : 3 and c : b = 5 : 6, then a : b : c is equal to:

Question 21

A man can row at a speed of  km/hr. in still water. If he takes 4 times as long to row a distance upstream to row the same distance downstream, then the speed of stream (in km/hr) is:

Question 22

The integral evaluates to______

Question 23

Direction: Figure given below shows Fourier spectra of signal x(t) and y(t).

The Nyquist sampling rate for x(t) is

Question 24

Direction: Figure given below shows Fourier spectra of signal x(t) and y(t).

The Nyquist sampling rate for x2(t) is

Question 25

Consider a CT signal as shown in figure. If x(t)X(), then find the value of

Question 26

In the circuit shown below X and Y are digital inputs and Z is a digital output Find equivalent circuit.

Question 27

The characteristic equation of an LTI system is given by F(s) = s5 + 2s4 + 3s3 + 6s2 – 4s – 8= 0. The number of roots that lie strictly in the left half s-plane is _________.

Question 28

What is the status of zero flag after execution of following set of instructions ?

Question 29

In a PCM system, the bit error rate due to channel noise is 10–4. Assume, that the peak signal to noise ratio on the recovered analog signal needs to be at least 30 dB.

What is the minimum number of quantizing steps that can be used to encode the analog signal into a PCM signal?

Question 30

In a PCM system, the bit error rate due to channel noise is 10–4. Assume, that the peak signal to noise ratio on the recovered analog signal needs to be at least 30 dB.
If the original analog signal had an absolute bandwidth of 2.7 kHz, what is the null bandwidth of the PCM signal?

Question 31

A memory block has total 8 RAM, each with 10 address lines and 4 data lines. The total size of the memory system is……….kilobytes

Question 32

Consider matrix and vector The number of distinct real values of for which the equation has infinitely many solution is ___________.

Question 33

In the figure shown below, assume that all the capacitors are initially uncharged. If v1 = 10 u(t) Volts, v0(t) is given by

Question 34

The probability of getting a “head” in a single toss of a biased coin is 0.3. The coin is tossed repeatedly till a “head” is obtained. If the tosses are independent, then the probability of getting “head” for the first time in the fifth toss is. _______

Question 35

Which one of the following polar diagrams corresponds to lag network?
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Feb 8ESE & GATE EC