Complete GATE MA 2022 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 64–65 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 22 of 22

Question 64

Open question
MANAT2 marksNeeds review
A certain product is manufactured by plants

,

and

whose capacities are 15, 25 and 10 units, respectively. The product is shipped to markets

,

,

and

, whose requirements are 10, 10, 10 and 20, respectively. The transportation costs per unit are given in the table below.\n\n| |

|

|

|

| Supply |\n|---|---:|---:|---:|---:|---:|\n|

| 1 | 3 | 1 | 3 | 15 |\n|

| 2 | 2 | 4 | 1 | 25 |\n|

| 2 | 1 | 1 | 2 | 10 |\n| Demand | 10 | 10 | 10 | 20 | |\n\nThen the cost corresponding to the starting basic solution by the Northwest-corner method is _____.

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Question 65

Open question
MANAT2 marksNeeds review
Let

be a

real matrix such that

. If the determinant of

is

, then the trace of

equals _____.

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