GATE PI 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 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 1 of 7

Divergence of the curl of a twice differentiable continuous vector function is

Your answerChoose one option.

unity

infinity

zero

a unit vector

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For two non-zero vectors

and

, if

is perpendicular to

, then

Your answerChoose one option.

the magnitude of

is twice the magnitude of

the magnitude of

is half the magnitude of

and

cannot be orthogonal

the magnitudes of

and

are equal

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For an orthogonal matrix

, the valid equality is

Your answerChoose one option.

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The product of a complex number

and its complex conjugate

Your answerChoose one option.

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Using Simpson’s

rule for numerical integration, the consecutive points are joined by a

Your answerChoose one option.

line

parabola

polynomial with power 3

polynomial with power 1/3

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For a two dimensional state-of-stress defined as

, the Mohr’s circle of stress has

Your answerChoose one option.

center at

and radius

center at

and radius

center at

and radius

center at

and radius

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A specimen of steel has yield strength of 700 MPa. The specimen is subjected to a state of plane-stress with

MPa. The factor of safety according to the von-Mises theory of failure is ________.

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The inside and outside radii of a thick-walled cylindrical pressure vessel are denoted by

and

, respectively. If the vessel is subjected to an internal pressure

, then the magnitude of the radial stress

Your answerChoose one option.

zero at

and maximum at $r = b

maximum at

and zero at $r = b

constant over the entire thickness

zero at both

and $r = b

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A metallic cylindrical casing of an exhaust pipe has inner radius 50 mm and wall thickness 7 mm. If the thermal conductivity of the material of the casing is 50 W/m-K, then the thermal resistance of the casing in K/kW is ________ (up to three decimal places).

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In Value Engineering approach, the value of the product is

Your answerChoose one option.

inversely proportional to its functions and directly proportional to its cost

directly proportional to its functions and inversely proportional to its cost

inversely proportional to its functions as well as its cost

directly proportional to its functions as well as its cost

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GATE PI year:2017 PYQs

How to practice year:2017

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10