GATE MA topic:mathematical-sciences PYQs & Answers — Page 33

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Questions 321–330 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 33 of 65

If the Laplace equation

with the boundary conditions

and

has a solution, then the constant

is _____.

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Let

be the solution of the first order partial differential equation

satisfying

. Then, the value of

is _____.

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The optimal value for the linear programming problem

is _____.

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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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Let

be a

real matrix such that

. If the determinant of

, then the trace of

equals _____.

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The ratio of boys to girls in a class is 7 to 3. Among the options below, an acceptable value for the total number of students in the class is:

Your answerChoose one option.

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A polygon is convex if, for every pair of points P and Q belonging to the polygon, the line segment PQ lies completely inside or on the polygon. Which one of the following is NOT a convex polygon?

Your answerChoose one option.

Diagram for Mathematics question 2 (figure 2)

Diagram for Mathematics question 2 (figure 3)

Diagram for Mathematics question 2 (figure 4)

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Consider the following sentences: (i) Everybody in the class is prepared for the exam. (ii) Babu invited Danish to his home because he enjoys playing chess. Which of the following is the CORRECT observation about the above two sentences?

Your answerChoose one option.

(i) is grammatically correct and (ii) is unambiguous

(i) is grammatically incorrect and (ii) is unambiguous

(i) is grammatically correct and (ii) is ambiguous

(i) is grammatically incorrect and (ii) is ambiguous

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A circular sheet of paper is folded along the lines in the directions shown. The paper, after being punched in the final folded state as shown and unfolded in the reverse order of folding, will look like ______.

Your answerChoose one option.

Diagram for Mathematics question 4 (figure 2)

Diagram for Mathematics question 4 (figure 3)

Diagram for Mathematics question 4 (figure 4)

Diagram for Mathematics question 4 (figure 5)

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______ is to surgery as writer is to ______ Which one of the following options maintains a similar logical relation in the above sentence?

Your answerChoose one option.

Plan, outline

Hospital, library

Doctor, book

Medicine, grammar

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GATE MA topic:mathematical-sciences PYQs

Question 61

Question 62

Question 63

Question 64

Question 65

Question 1

Question 2

Question 3

Question 4

Question 5