GATE MA branch:ma PYQs & Answers — Page 20

Questions 191–200 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 20 of 65

Let

be a continuously differentiable path from

and let

be defined by

. The line integral of

along

is equal to

(round off to TWO decimal places)

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Let

be the solution of the initial value problem

, then

is equal to

(round off to TWO decimal places)

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The boundary value problem

has infinitely many distinct solutions when

is equal to

(round off to TWO decimal places)

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The global maximum of

is equal to

(round off to TWO decimal places)

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Let

and

. Let

be the solution of the following boundary value problem

, then the value of

is equal to

(round off to TWO decimal places)

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The village was nestled in a green spot, ______ the ocean and the hills.

Your answerChoose one option.

through

between

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Disagree : Protest :: Agree : ______ (By word meaning)

Your answerChoose one option.

Refuse

Pretext

Recommend

Refute

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A ‘frabjous’ number is defined as a 3 digit number with all digits odd, and no two adjacent digits being the same. For example, 137 is a frabjous number, while 133 is not. How many such frabjous numbers exist?

Your answerChoose one option.

125

720

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Which one among the following statements must be TRUE about the mean and the median of the scores of all candidates appearing for GATE 2023?

Your answerChoose one option.

The median is at least as large as the mean.

The mean is at least as large as the median.

At most half the candidates have a score that is larger than the median.

At most half the candidates have a score that is larger than the mean.

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In the given diagram, ovals are marked at different heights (h) of a hill. Which one of the following options P, Q, R, and S depicts the top view of the hill?