GATE MA 2019 Paper 1 — page 20

Questions 58–60 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 20 of 22

Consider the following cost matrix of assigning four jobs to four persons:

Persons / Jobs	J₁	J₂	J₃	J₄
P₁	5	8	6	10
P₂	2	5	4	8
P₃	6	7	6	9
P₄	6	9	8	10

Then the minimum cost of the assignment problem subject to the constraint that job J₄ is assigned to person P₂, is ______.

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Let

with

satisfy the Legendre differential equation

Then the value of

is equal to ______ (round off to 2 places of decimal).

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Let

be the ring of integers modulo 125 under the operations of addition modulo 125 and multiplication modulo 125. If

is the number of maximal ideals of

and

is the number of non-units of

, then

is equal to ______.

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2019 · Paper 1