Mathematics
GATE MA year:2026 PYQs
Build your understanding with focused practice from past exam papers.
Questions 61–65 of 65. Imported answers require independent review unless marked reviewed.
Question 61
Open questionMANAT2 marksNeeds review
Let
be the open unit disc and
be its boundary. If
is the solution of the following Dirichlet problem
then the value of
is ________. (answer in integer)Log in to check the answer
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Open questionMANAT2 marksNeeds review
Let
be equipped with the topology
. Then the number of subsets of
which are neither open nor closed is ________. (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 63
Open questionMANAT2 marksNeeds review
Let
. If
is an optimal solution of the Linear Programming Problem:
then the maximum value of
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 64
Open questionMANAT2 marksNeeds review
Let
and let
denote the smallest integer greater than or equal to
. Then the value of the integral
is ________. (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 65
Open questionMANAT2 marksNeeds review
If Jacobi method is used to solve the following system of linear equations
with the initial guess
and
,
, denotes the
iterate, then the value of
is equal to ________. (answer in integer)Log in to check the answer
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