GATE MA · 2025 · MA
Question 47: Algebra
Give it a try, then reveal the answer to check your work.
Question 47
MAMCQ2 marksNeeds review
Let
be an algebraically closed field containing a finite field
. Let
be the subfield of
consisting of elements of
that are algebraic over
.Consider the following statements:
S1:
is algebraically closed.S2:
is infinite.Then, which one of the following is correct?
Your answerChoose one option.
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 answerEXPLORE & PRACTISE
Paper and topic context
See where this question comes from and choose what to practise next.
2025MA
GATE MA 2025 · Paper 1
Mathematics · Original paper archive
- Section
- Mathematics
- Question type
- Multiple choice (MCQ)
- Marks
- 2 marks
Practise related topics
Explore more previous year questions using this question’s imported topic tags.
mathematics
GATE MA previous year questions
mathematical sciences
GATE MA previous year questions
statistics
GATE MA previous year questions
algebra
GATE MA previous year questions
finite fields
GATE MA previous year questions
algebraically closed fields
GATE MA previous year questions
Comments
Ask a question, share your approach, or help someone understand.
Log in to view the discussion
You’re not logged in. Log in or create an account to see discussions and add comments.