Mathematics
2024 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE MA 2024 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 58–60 of 65. Imported answers require review unless explicitly marked reviewed.
Question 58
Open questionMANAT2 marksNeeds review
The maximum value of
subject to the constraints
is equal to
(round off to TWO decimal places)Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 59
Open questionMANAT2 marksNeeds review
Let
be the field extension of
obtained by adding all the roots of the polynomial equation
. The number of distinct fields
such that
is equal to
(answer in integer)Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 60
Open questionMANAT2 marksNeeds review
Let
be the subset of
consisting of all
such that
for all
. The number of elements in
is equal to
(answer in integer)Log in to check the answer
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