GATE MA exam:gate PYQs & Answers — Page 8

Questions 71–80 of 650. Imported answers require independent review unless marked reviewed.

“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.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

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.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

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.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A square paper, shown in figure (I), is folded along the dotted lines as shown in the figures (II) and (III). Then a few cuts are made as shown in figure (IV). Which one of the following patterns will be obtained when the paper is unfolded?

Note: The figures shown are representative.

Figures (I)–(IV):

Your answerChoose one option.

Diagram for Mathematics question 9 (figure 2)

Diagram for Mathematics question 9 (figure 3)

Diagram for Mathematics question 9 (figure 4)

Diagram for Mathematics question 9 (figure 5)

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A shop has 4 distinct flavors of ice-cream. One can purchase any number of scoops of any flavor. The order in which the scoops are purchased is inconsequential. If one wants to purchase 3 scoops of ice-cream, in how many ways can one make that purchase?

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Let

be diagonalizable and

, where

. Then, which one of the following is TRUE?

Your answerChoose one option.

is compact and connected

is neither compact nor connected

is compact but not connected

is connected but not compact

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Given that the Laplace transforms of

and

exist, where

is the Bessel function. Let

be the Laplace transform of the Bessel function

. Then, which one of the following is TRUE?

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

To find a real root of the equation

in the interval

by using the fixed-point iteration scheme, consider the following two statements:

S1: The iteration scheme

, converges for any initial guess

S2: The iteration scheme

, diverges for some initial guess

Then, which one of the following is correct?

Your answerChoose one option.

S1 is TRUE and S2 is FALSE

S2 is TRUE and S1 is FALSE

both S1 and S2 are TRUE

neither S1 nor S2 is TRUE

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

For the linear programming problem:

Maximize

Subject to

consider the following two statements:

S1: If

and

, then

forms an optimal basis.

S2: If

and

, then

forms an optimal basis.

Then, which one of the following is correct?

Your answerChoose one option.

S1 is TRUE and S2 is FALSE

S2 is TRUE and S1 is FALSE

both S1 and S2 are TRUE

neither S1 nor S2 is TRUE

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Consider the following subsets of the Euclidean space

, and

Then, which one of the following is TRUE?

Your answerChoose one option.

is connected, but

and

are not connected

and

are connected, but

is not connected

and

are connected, but

is not connected

and

are connected, but

is not connected

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

GATE MA exam:gate PYQs

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15