GATE MT area:engineering-mathematics PYQs & Answers — Page 4

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Questions 31–40 of 87. Imported answers require independent review unless marked reviewed.

Topic practice 87 questionsPage 4 of 9

The probability of setting an easy exam paper by three setters are

, and

. If all three are setting one paper each, then the probability that at least one of the papers will be easy is __________ (round off to 2 decimal places).

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The maximum value of function

in the domain

is __________ (round off to nearest integer).

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A fluid flow field is given by the velocity vector

. The curl of velocity at (1, 2, 3) is

Your answerChoose one option.

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Given,

. S is a surface bounded by the planes

, and

. If

is the unit vector normal to S, then

Your answerChoose one option.

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Match the plots in Section I with the corresponding functions in Section II.

Section I: (P), (Q), (R), and (S) are the four plotted curves.

Diagram for Metallurgical Engineering question 44

Section II (1)

(2)

(3)

(4)

Your answerChoose one option.

P – 3, Q – 2, R – 4, S – 1

P – 2, Q – 3, R – 4, S – 1

P – 1, Q – 4, R – 3, S – 2

P – 2, Q – 3, R – 1, S – 4

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For the equation

the value of

is __________ (in integer).

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The Taylor series expansion around

of the function

truncated to first two terms is __________

Your answerChoose one option.

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Given that

is a closed volume in space bounded by the surface

with unit normal

. If

is any non-zero vector and

is the gradient operator, then the volume integral

is equal to the surface integral

by value of __________

Your answerChoose one option.

Stokes Curl theorem

Reynolds transport theorem

Buckingham Pi theorem

Gauss divergence theorem

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A set of observations with normal distribution of error as ±1.96σ (where σ is standard deviation) is equivalent to the confidence interval of _______% (round off to the nearest integer).

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The general solution to the following differential equation is _________, where A and B are constants

Your answerChoose one option.

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GATE MT area:engineering-mathematics PYQs

Question 31

Question 35

Question 40

Question 41

Question 44

Question 54

Question 11

Question 23

Question 34

Question 36