GATE IN format:msq PYQs & Answers

Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.

Questions 1–10 of 20. Imported answers require independent review unless marked reviewed.

Topic practice 20 questionsPage 1 of 2

In a linear element, the measured current is 100 mA ± 2.5% and the measured voltage is 5 V ± 5%. Which of the following options show(s) the consumed power?

Your answerSelect all correct options. You can choose more than one.

(500 ± 37.5) mW

(500 ± 12.5) mW

500 mW ± 7.5%

500 mW ± 2.5%

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Which of the following statements is/are correct for a thermocouple?

Your answerSelect all correct options. You can choose more than one.

It is based on the Seebeck Effect.

The change in resistance is measured.

The voltage difference between the two junctions is linearly proportional to the temperature difference between the junctions.

It is based on the concept of Joule Heat.

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Given

The complete contour of the equation

is described by the option(s) __.

Your answerSelect all correct options. You can choose more than one.

A line,

A circle with radius 1

An ellipse with length of major axis equal to 1

A line,

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Given a differential equation

with

. Which of the following statements is/are true?

Your answerSelect all correct options. You can choose more than one.

for all

, for some real constant

for all

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Which of the following functions represent(s) the output of the CMOS logic-gate shown in the circuit below?

Diagram for Instrumentation Engineering question 55

Your answerSelect all correct options. You can choose more than one.

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A 16-bit processor has 16-bit wide instructions and a few internal registers. Every 16-bit instruction is encoded in a fixed format with one operation code of 7 bits and up to three operands. The operand can be an internal register and each operand is encoded by 3 bits. All the internal registers can be specified in an instruction using three bits.

The correct statement(s) for this processor is/are _____.

Your answerSelect all correct options. You can choose more than one.

The processor has 16 internal registers.

The processor can support 128 unique operation codes (Opcodes).

The processor has up to 8 internal registers.

The processor can support 512 unique operation codes (Opcodes).

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The circuits mentioned in the following options are realized using ideal opamp. Among these, the circuit(s) performing non-linear operation on the input signal is/are

Your answerSelect all correct options. You can choose more than one.

Instrumentation amplifier

Schmitt trigger

Logarithmic amplifier

Precision rectifier

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Choose the correct statement(s) from the following options, regarding Cauchy’s theorem on complex integration

where C is a simple closed path in a simply connected domain D.

Your answerSelect all correct options. You can choose more than one.

Cauchy’s theorem cannot be directly applied to conclude that

when

, and C is the unit circle

is analytic in D, then it can be concluded that

for any simple closed path C in D

The function

must be analytic in D to conclude

for any simple closed path C in D

when

, since the function is not analytic at

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The plant in the feedback control system shown in the figure is

, where

and

. The type(s) of controller

that CANNOT stabilize the plant is/are

Diagram for Instrumentation Engineering question 50

Your answerSelect all correct options. You can choose more than one.

proportional (P) controller

integral (I) controller

proportional-integral (PI) controller

proportional-derivative (PD) controller

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Choose the eigenfunction(s) of stable linear time-invariant continuous-time systems from the following options.

Your answerSelect all correct options. You can choose more than one.

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GATE IN format:msq PYQs

How to practice format:msq

Question 29

Question 30

Question 53

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Question 55

Question 56

Question 31

Question 49

Question 50

Question 51