GATE MA 2021 Paper 1 — page 19

Questions 55–57 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 19 of 22

Let

be a finite field and

be the group of all nonzero elements of

under multiplication. If

has a subgroup of order 17, then the smallest possible order of the field

is __________.

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Let

and

be the positively oriented boundary of

. Then the value of the integral

is __________.

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Let

and

be the function defined by

for

, then

__________.

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2021 · Paper 1