GATE MA format:mcq PYQs & Answers — Page 36

Questions 351–360 of 366. Imported answers require independent review unless marked reviewed.

Topic practice 366 questionsPage 36 of 37

Consider the subspace

of the Hilbert space

of all square summable real sequences. For

, define

. Consider the following statements: (P):

is pointwise bounded on

. (Q):

is uniformly bounded on

. Which of the above statements hold TRUE?

Your answerChoose one option.

Both P and Q

Only P

Only Q

Neither P nor Q

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Let

be the Jacobi iteration matrix of the linear system

. Consider the following statements: (P): One of the eigenvalues of

lies in the interval

. (Q): The Jacobi iteration converges for the above system. Which of the above statements hold TRUE?

Your answerChoose one option.

Both P and Q

Only P

Only Q

Neither P nor Q

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Let

be the bounded solution of the following boundary value problem in polar coordinates:

Then

equals

Your answerChoose one option.

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Let

and

denote the usual topology and the discrete topology on

, respectively. Consider the following three topologies:

Then

Your answerChoose one option.

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Let

be a random sample from a binomial distribution with parameters

and

, and let

. Then a uniformly minimum variance unbiased estimator for

Your answerChoose one option.

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Let

be a random sample from a

population, where

, and let

. Then the maximum likelihood estimator of

Your answerChoose one option.

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The ninth and the tenth of this month are Monday and Tuesday ________.

Your answerChoose one option.

figuratively

retrospectively

respectively

rightfully

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It is ________ to read this year’s textbook ________ the last year’s.

Your answerChoose one option.

easier, than

most easy, than

easier, from

easiest, from

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A rule states that in order to drink beer, one must be over 18 years old. In a bar, there are 4 people. P is 16 years old, Q is 25 years old, R is drinking milkshake and S is drinking a beer. What must be checked to ensure that the rule is being followed?

Your answerChoose one option.

Only P’s drink

Only P’s drink and S’s age

Only S’s age

Only P’s drink, Q’s drink and S’s age

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Fatima starts from point P, goes North for 3 km, and then East for 4 km to reach point Q. She then turns to face point P and goes 15 km in that direction. She then goes North for 6 km. How far is she from point P, and in which direction should she go to reach point P?

Your answerChoose one option.

8 km, East

12 km, North

6 km, East

10 km, North

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GATE MA format:mcq PYQs

Question 40

Question 42

Question 44

Question 45

Question 51

Question 53

Question 56

Question 57

Question 58

Question 59