GATE MA format:mcq PYQs & Answers — Page 4

Questions 31–40 of 366. Imported answers require independent review unless marked reviewed.

For a transportation problem, let

denote the unit cost of the cell

. Assume that

and

. Let

and

, represent the simplex multipliers associated with any basis corresponding to the unit cost

. Assume that

and

. The relative cost coefficient

is the difference between the current solution and the new improved solution. If

and

, then which one of the following is TRUE?

Your answerChoose one option.

and

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Let

and

be topological spaces and

be a continuous and bijective mapping. Which one of the following statements is TRUE?

Your answerChoose one option.

is a homeomorphism if

and

are compact.

is a homeomorphism if

is Hausdorff and

is compact.

is a homeomorphism if

is compact and

is Hausdorff.

is a homeomorphism if

and

are Hausdorff.

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Ravi had _____ younger brother who taught at _____ university. He was widely regarded as _____ honorable man.

Select the option with the correct sequence of articles to fill in the blanks.

Your answerChoose one option.

a; a; an

the; an; a

a; an; a

an; an; a

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The CEO’s decision to downsize the workforce was considered myopic because it sacrificed long-term stability to accommodate short-term gains.

Select the most appropriate option that can replace the word “myopic” without changing the meaning of the sentence.

Your answerChoose one option.

visionary

shortsighted

progressive

innovative

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The average marks obtained by a class in an examination were calculated as 30.8. However, while checking the marks entered, the teacher found that the marks of one student were entered incorrectly as 24 instead of 42. After correcting the marks, the average becomes 31.4. How many students does the class have?

Your answerChoose one option.

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Consider the relationships among P, Q, R, S, and T:

• P is the brother of Q. • S is the daughter of Q. • T is the sister of S. • R is the mother of Q.

The following statements are made based on the relationships given above.

(1) R is the grandmother of S.

(2) P is the uncle of S and T.

(3) R has only one son.

(4) Q has only one daughter.

Which one of the following options is correct?

Your answerChoose one option.

Both (1) and (2) are true.

Both (1) and (3) are true.

Only (3) is true.

Only (4) is true.

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According to the map shown in the figure, which one of the following statements is correct?

Note: The figure shown is representative.

Your answerChoose one option.

The library is located to the northwest of the canteen.

The hospital is located to the east of the chemistry lab.

The chemistry lab is to the southeast of physics lab.

The classrooms and canteen are next to each other.

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“I put the brown paper in my pocket along with the chalks, and possibly other things. I suppose every one must have reflected how primeval and how poetical are the things that one carries in one’s pocket: the pocket-knife, for instance, the type of all human tools, the infant of the sword. Once I planned to write a book of poems entirely about the things in my pocket. But I found it would be too long: and the age of the great epics is past.”

(From G.K. Chesterton’s “A Piece of Chalk”)

Based only on the information provided in the above passage, which one of the following statements is true?

Your answerChoose one option.

The author of the passage carries a mirror in his pocket to reflect upon things.

The author of the passage had decided to write a poem on epics.

The pocket-knife is described as the infant of the sword.

Epics are described as too inconvenient to write.

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In the diagram, the lines QR and ST are parallel to each other. The shortest distance between these two lines is half the shortest distance between the point P and line QR. What is the ratio of the area of the triangle PST to the area of the trapezium SQRT?

Note: The figure shown is representative.

Your answerChoose one option.

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A fair six-faced dice, with the faces labelled ‘1’, ‘2’, ‘3’, ‘4’, ‘5’, and ‘6’, is rolled thrice. What is the probability of rolling ‘6’ exactly once?

Your answerChoose one option.

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GATE MA format:mcq PYQs

Question 46

Question 47

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8