GATE MA 2019 Paper 1 — page 11

Questions 31–33 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 11 of 22

Let

be a primitive complex cube root of unity and

. Then the degree of the field extension

over

(the field of rational numbers) is _____.

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Let

Then the greatest integer less than or equal to

is _____.

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Consider the system:

is a basic feasible solution of the above system (where

and

are real constants), then

is equal to _____.

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2019 · Paper 1