Mathematics
GATE MA topic:statistics PYQs
Build your understanding with focused practice from past exam papers.
Questions 61–70 of 650. 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
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 62
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
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 1
Open questionGAMCQ1 markNeeds review
Ravi had _____ younger brother who taught at _____ university. He was widely regarded as _____ honorable man.
Select the option with the correct sequence of articles to fill in the blanks.
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 answerQuestion 2
Open questionGAMCQ1 markNeeds review
The CEO’s decision to downsize the workforce was considered myopic because it sacrificed long-term stability to accommodate short-term gains.
Select the most appropriate option that can replace the word “myopic” without changing the meaning of the sentence.
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 answerQuestion 3
Open questionGAMCQ1 markNeeds review
The average marks obtained by a class in an examination were calculated as 30.8. However, while checking the marks entered, the teacher found that the marks of one student were entered incorrectly as 24 instead of 42. After correcting the marks, the average becomes 31.4. How many students does the class have?
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 answerQuestion 4
Open questionGAMCQ1 markNeeds review
Consider the relationships among P, Q, R, S, and T:
• P is the brother of Q.
• S is the daughter of Q.
• T is the sister of S.
• R is the mother of Q.
The following statements are made based on the relationships given above.
(1) R is the grandmother of S.
(2) P is the uncle of S and T.
(3) R has only one son.
(4) Q has only one daughter.
Which one of the following options 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 answerQuestion 5
Open questionGAMCQ1 markNeeds review
According to the map shown in the figure, which one of the following statements is correct?
Note: The figure shown is representative.

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 answer