GATE ME purpose:exam-prep PYQs & Answers — Page 55

Questions 541–550 of 1040. Imported answers require independent review unless marked reviewed.

Topic practice 1040 questionsPage 55 of 104

Multiplication of real valued square matrices of same dimension is

Your answerChoose one option.

associative

commutative

always positive definite

not always possible to compute

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The sum of two normally distributed random variables X and Y is

Your answerChoose one option.

always normally distributed

normally distributed, only if X and Y are independent

normally distributed, only if X and Y have the same standard deviation

normally distributed, only if X and Y have the same mean

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The value of

Your answerChoose one option.

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A matrix

is decomposed into its symmetric part

and skew symmetric part

then matrix

Your answerChoose one option.

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The Laplace transform of a function

. Then,

Your answerChoose one option.

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Let

. Then,

may also be expressed as

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Which of the following function

, of the complex variable

, is NOT analytic at all the points of the complex plane?

Your answerChoose one option.

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The solution of

which additionally satisfies

in the Laplace

-domain is

Your answerChoose one option.

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The members carrying zero force (i.e. zero-force members) in the truss shown in the figure, for any load

with no appreciable deformation of the truss (i.e. with no appreciable change in angles between the members), are

Diagram for Mechanical Engineering question 5

Your answerChoose one option.

BF and DH only

BF, DH and GC only

BF, DH, GC, CD and DE only

BF, DH, GC, FG and GH only

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An attempt is made to pull a roller of weight

over a curb (step) by applying a horizontal force

as shown in the figure.

The coefficient of static friction between the roller and the ground (including the edge of the step) is

. Identify the correct free body diagram (FBD) of the roller when the roller is just about to climb over the step.

Your answerChoose one option.

Diagram for Mechanical Engineering question 5 (figure 2)

Diagram for Mechanical Engineering question 5 (figure 3)

Diagram for Mechanical Engineering question 5 (figure 4)

Diagram for Mechanical Engineering question 5 (figure 5)

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GATE ME purpose:exam-prep PYQs

Question 1

Question 1

Question 2

Question 2

Question 3

Question 3

Question 4

Question 4

Question 5

Question 5