Questions 61–70 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 7 of 65

Question 61

Open question
MANAT2 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)

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Question 62

Open question
MANAT2 marksNeeds review
Let

be equipped with the topology

. Then the number of subsets of

which are neither open nor closed is ________. (answer in integer)

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Question 63

Open question
MANAT2 marksNeeds review
Let

. If

is an optimal solution of the Linear Programming Problem:

then the maximum value of

is equal to ________. (answer in integer)

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Question 64

Open question
MANAT2 marksNeeds review
Let

and let

denote the smallest integer greater than or equal to

. Then the value of the integral

is ________. (answer in integer)

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Question 65

Open question
MANAT2 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)

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Question 1

Open question
GAMCQ1 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.

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Question 2

Open question
GAMCQ1 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.

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Question 3

Open question
GAMCQ1 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.

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Question 4

Open question
GAMCQ1 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.

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Question 5

Open question
GAMCQ1 markNeeds review
According to the map shown in the figure, which one of the following statements is correct?
Note: The figure shown is representative.
Diagram for Mathematics question 5

Your answerChoose one option.

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