GATE EE year:2017 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 130. Imported answers require independent review unless marked reviewed.

Topic practice 130 questionsPage 1 of 13

The matrix

has three distinct eigenvalues and one of its eigenvectors is

. Which one of the following can be another eigenvector of

Your answerChoose one option.

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An urn contains 5 red balls and 5 black balls. In the first draw, one ball is picked at random and discarded without noticing its colour. The probability to get a red ball in the second draw is

Your answerChoose one option.

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For a complex number

Your answerChoose one option.

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Consider a solid sphere of radius 5 cm made of a perfect electric conductor. If one million electrons are added to this sphere, these electrons will be distributed

Your answerChoose one option.

uniformly over the entire volume of the sphere

uniformly over the outer surface of the sphere

concentrated around the centre of the sphere

along a straight line passing through the centre of the sphere

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Let

, where “

” denotes convolution. Let

be a positive real-valued constant. Choose the correct expression for

Your answerChoose one option.

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The figures show diagrammatic representations of vector fields

, and

, respectively. Which one of the following choices is true?

Diagram for Electrical Engineering question 3

Your answerChoose one option.

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A solid iron cylinder is placed in a region containing a uniform magnetic field such that the cylinder axis is parallel to the magnetic field direction. The magnetic field lines inside the cylinder will

Your answerChoose one option.

bend closer to the cylinder axis

bend farther away from the axis

remain uniform as before

cease to exist inside the cylinder

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The pole-zero plots of three discrete-time systems P, Q and R on the z-plane are shown below.

Diagram for Electrical Engineering question 4

Which one of the following is TRUE about the frequency selectivity of these systems?

Your answerChoose one option.

All three are high-pass filters.

All three are band-pass filters.

All three are low-pass filters.

P is a low-pass filter, Q is a band-pass filter and R is a high-pass filter.

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Consider an electron, a neutron and a proton initially at rest and placed along a straight line such that the neutron is exactly at the center of the line joining the electron and proton. At

, the particles are released but are constrained to move along the same straight line. Which of these will collide first?

Your answerChoose one option.

the particles will never collide

all will collide together

proton and neutron

electron and neutron

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If a synchronous motor is running at a leading power factor, its excitation induced voltage (

) is

Your answerChoose one option.

equal to terminal voltage

higher than the terminal voltage

less than terminal voltage

dependent upon supply voltage

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GATE EE year:2017 PYQs

How to practice year:2017

Question 1

Question 1

Question 2

Question 2

Question 3

Question 3

Question 4

Question 4

Question 5

Question 5