GATE IN year:2019 PYQs & Answers — Page 4

Questions 31–40 of 65. Imported answers require independent review unless marked reviewed.

The total number of Boolean functions with distinct truth-tables that can be defined over 3 Boolean variables is ______.

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The figure below shows the

full-adder block of a binary adder circuit. Cᵢ is the input carry and Cᵢ₊₁ is the output carry of the circuit. Assume that each logic gate has a delay of 2 nanosecond, with no additional time delay due to the interconnecting wires. If the inputs Aᵢ, Bᵢ are available and stable throughout the carry propagation, the maximum time taken for an input Cᵢ to produce a steady-state output Cᵢ₊₁ is ______ nanosecond.

Diagram for Instrumentation Engineering question 22

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The resistance of a resistor is measured using a voltmeter and an ammeter. The voltage measurements have a mean value of 1 V and standard deviation of 0.2 V while current measurements have a mean value of 1 mA with standard deviation of 0.05 mA. Assuming that the errors in voltage and current measurements are independent, the standard deviation of the calculated resistance value is ______

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A pitot-static tube is used to estimate the velocity of an incompressible fluid of density 1 kg/m³. If the pressure difference measured by the tube is 200 N/m², the velocity of the fluid, assuming the pitot-tube coefficient to be 1.0, is ______ m/s.

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A signal

modulates a carrier

using the double-sideband-with-carrier (DSBWC) scheme to yield a modulated signal

. The modulation index is ______. (Answer should be rounded off to one decimal place)

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The curve

is such that the tangent to the curve at every point

has a Y-axis intercept

, given by

. Then,

is proportional to

Your answerChoose one option.

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The function

is given by

where A and

are constants with

and

for

. For

to be a probability density function, the value of A should be equal to

Your answerChoose one option.

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The dynamics of the state

of a system is governed by the differential equation

Given that the initial state is

, the steady state value of

Your answerChoose one option.

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A complex function

and its complex conjugate

are both analytic in the entire complex plane, where

and

. The function

is then given by

Your answerChoose one option.

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In a control system with unity gain feedback, the plant has the transfer function

. Assuming that a controller of the form

is used, where K is a positive constant, the value of p for which the root-locus of the closed-loop system passes through the points

where

, is

Your answerChoose one option.

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GATE IN year:2019 PYQs

Question 21

Question 22

Question 23

Question 24

Question 25

Question 26

Question 27

Question 28

Question 29

Question 30