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# GATE 2021: Toppers Mini Mock Quiz 4 (App update required to attempt this test)

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Question 1

Quadrature amplitude modulation (QAM) is a combination of ___________.

Question 2

Why SiO2 layer is used in ICs?

Question 3

Assertion : The large aspect ratio arises from the smaller drop allowed across the load resistor.

Reason : For a good MOSFET amplifier ratio requited large greater then 100

Question 4

25 persons are in a room. 15 of them play hockey, 17 of them play football and 10 of them play both hockey and football. Then the number of persons playing neither hockey nor football is:

Question 5

Choose the grammatically CORRECT sentence:

Question 6

Choose the most appropriate word from the options given below to complete the following sentence:
If we manage to ________ our natural resources, we would leave a better planet for our children.

Question 7

If , then the value of xx is

Question 8

The solution of the differential equation is

Question 9

In order to generate square wave from a sinusoidal input signal one can use:
1) Schmitt trigger
2) Clipper and amplifier
3) Monostable multivibrators

Question 10

For an 8 feet (2.4 m) parabolic disk antenna operating at 4 GHz, the minimum distance required for far field measurement is closest to

Question 11

In a two port reciprocal network, the output open circuit voltage divided by input current is equal to-

Question 12

The Fourier transform of a signal is given by

Question 13

A discrete memoryless source has an alphabet with corresponding probabilities. The minimum required average code word length in bits to represent 2 4 8 8 this source for error-free reconstruction is _______.

Question 14

The transfer function of a plant is. The second order approximation of T(s) using dominant pole concept is:

Question 15

The two numbers represented in signed 2’s complement form are P = 11101101 and Q = 11100110. If Q is subtracted from P, the value obtained in signed 2’s complement form is

Question 16

A firm producing air purifiers sold 200 units in 2012. The following pie chart presents the share of raw material, labour, energy, plant & machinery, and transportation costs in the total manufacturing cost of the firm in 2012. The expenditure on labour in 2012 is Rs. 4,50,000. In 2013, the raw material expenses increased by 30% and all other expenses increased by 20%. What is the percentage increase in total cost for the company in 2013?

Question 17

Which of the phrases given below should be placed in the blank space so as to get a meaningful and grammatically correct sentence?
Although information technology has entered the homes, offices and hearts of many Indian citizens, ______.

Question 18

Suppose C is the closed curve defined as the circle with C oriented anti-clockwise.
The value of over the curve C equals

Question 19

Eigen values of a matrix are 5 and 1. What are the eigen values of the matrix S2?

Question 20

A fair coin is tossed independently four times. The probability of the event “the number of time heads shown up is more than the number of times tails shown up” is

Question 21

Consider the following circuit using an ideal OPAMP. The I-V characteristics of the diode is described by the relation where and V is the voltage across the diode (taken as positive for forward bias)

For an input voltage V = –1V, the output voltage V0 is

Question 22

The transfer characteristic for the precision rectifier circuit shown below is (assume ideal OP-AMP and practical diodes)

Question 23

In a PCM system, the signal V is sampled at the Nyquist rate. The samples are processed by a uniform quantizer with step size 0.75 V. The minimum data rate of the PCM system in bits per second is _____.

Question 24

Choose correct matching
(1). FM
(2). Companding
(3). Mixer
(4). Foster Seely discriminator
p) increase strength of region of low strength signal
q) frequency conversion
r) demodulation of FM
s) capture effect

Question 25

G(s) = (s+a)/(s+b) is a lead controller to obtain maximum phase lead of 30⁰. The values of a and b are

Question 26

The number of open right half plane poles of is

Question 27

The logic realised by the given circuit

Question 28

Two D-flip-flops, as shown below, are to be connected as a synchronous counter that goes through the following Q1 Q0 sequence
00 01 11 10 00 ……..
The input D0 and D1 respectively should be connected as

Question 29

An infinitely long uniform solid wire of radius a carries a uniform dc current of density.
A hole of radius b(b < a) is now drilled along the length of the wire at a distance d from the center of the wire as shown below.

The magnetic field inside the hole is

Question 30

A rectangular metal wave–guide filled with a dielectric material of relative permittivity has the inside dimensions . The cut–off frequency for the dominant mode is

Question 31

The resistance of a si sample with cross-section of 2 cm2 and a length of 2 m with the doping impurity of phosphorus and boron concentration of 1018 cm-3 and 21015 cm-3 respectively is kept at 3000K will be equal to
(Assuming n= 1300 cm2/v-sec)

Question 32

Twelve resistances are used as edges to form a cube. The resistance between two diagonally opposite corners of the cube is

Question 33

An input voltage  is applied to a series combination of resistance and an inductance The resulting steady state current i(t) in ampere is

Question 34

Power of the signal x(t) = sinc(5t) is _______W

Question 35

The unilateral Laplace transform of a signal x(t) is

The time signal x(t) is

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