GATE MA topic:mathematics PYQs & Answers — Page 36

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Questions 351–360 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 36 of 65

Let

denote the boundary of the square region

with vertices

and

oriented in the counter-clockwise direction. Then

__________.

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The number of 5-Sylow subgroups in the symmetric group

of degree 5 is _____.

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Let

be the ideal generated by

in the polynomial ring

, where

denotes the ring of integers modulo 3. Then the number of units in the quotient ring

is ______.

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Let

be a linear transformation such that

, and

. Then the rank of

is _____.

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Let

be the solution of the following initial value problem

Then

__________.

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Let

for

. The order of convergence of the Newton-Raphson method

with

, for finding the root

of the equation

is _____.

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If the polynomial

interpolates the data

then

__________.

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Consider the Linear Programming Problem

Maximize

subject to

Then the optimal value of the dual of

is equal to __________.

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Consider the Linear Programming Problem

Minimize

subject to

is a basic feasible solution of

, then

__________.

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Let

be a complex Hilbert space. Let

be such that

. Then

__________.

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GATE MA topic:mathematics PYQs

Question 16

Question 17

Question 18

Question 19

Question 20

Question 21

Question 22

Question 23

Question 24

Question 25