GATE MA topic:mathematics PYQs & Answers — Page 60

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Questions 591–600 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 60 of 65

Let

be the circle in

oriented positively. Then

equals ______.

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Consider the following statements: (P): There exists an unbounded subset of

whose Lebesgue measure is equal to 5. (Q): If

is continuous and

is such that

almost everywhere on

, then

must be continuous almost everywhere on

Which of the above statements hold TRUE?

Your answerChoose one option.

Both P and Q

Only P

Only Q

Neither P nor Q

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is an integrating factor of

, where

, then

Your answerChoose one option.

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and

are the solutions of the system

and

with the initial conditions

and

, then

equals ______.

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is the solution of the initial value problem

and

, where

, then

Your answerChoose one option.

and

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Let

be a non-abelian group of order 125. Then the total number of elements in

equals ______.

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Let

and

be subfields of a finite field

consisting of

and

elements, respectively. Then the total number of elements in

equals ______.

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Consider the normed linear space

equipped with the norm given by

and the subspace

. Let

be the linear functional on

given by

. If

, is a Hahn-Banach extension of

, then

equals ______.

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For

, define

, where

. Then

equals

Your answerChoose one option.

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If the fourth order divided difference of

, at the points 0.1, 0.2, 0.3, 0.4, 0.5 is 5, then

equals ______.

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GATE MA topic:mathematics PYQs

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15