GATE MA year:2017 PYQs & Answers

Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.

Questions 1–10 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 1 of 7

Consider the vector space

of polynomials of degree at most 2. Let

be a linear functional such that

and

. Then

equals ______.

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Let

be a

matrix such that

, where

is the identity matrix. If

has two distinct eigenvalues and each eigenvalue has geometric multiplicity 3, then the total number of nonzero entries in the Jordan canonical form of

equals ______.

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Let

and

for

. Then, in the complex plane

Your answerChoose one option.

is analytic and

is NOT analytic

is NOT analytic and

is analytic

neither

nor

is analytic

both

and

are analytic

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is the Laurent series of the function

for

, then

equals ______.

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Let

be given by

. Then the sequence

Your answerChoose one option.

converges uniformly on

does NOT converge uniformly on

but has a subsequence that converges uniformly on

does NOT converge pointwise on

converges pointwise on

but does NOT have a subsequence that converges uniformly on

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Let

be the circle in

oriented positively. Then

equals ______.

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Consider the following statements: (P): There exists an unbounded subset of

whose Lebesgue measure is equal to 5. (Q): If

is continuous and

is such that

almost everywhere on

, then

must be continuous almost everywhere 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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is an integrating factor of

, where

, then

Your answerChoose one option.

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and

are the solutions of the system

and

with the initial conditions

and

, then

equals ______.

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is the solution of the initial value problem

and

, where

, then

Your answerChoose one option.

and

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GATE MA year:2017 PYQs

How to practice year:2017

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10