GATE MA format:mcq PYQs & Answers — Page 30

Questions 291–300 of 366. Imported answers require independent review unless marked reviewed.

Topic practice 366 questionsPage 30 of 37

Consider the ordered square

, the set

with the dictionary order topology. Let the general element of

be denoted by

, where

. Then the closure of the subset

Your answerChoose one option.

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Let

be the vector space of all polynomials of degree at most 2 over

(the set of real numbers). Let a linear transformation

be defined by

Consider the following statements.

I. The null space of

II. The range space of

is spanned by the set

III.

IV. If

is the matrix representation of

with respect to the standard basis

, then the trace of the matrix

is 3.

Which of the above statements are TRUE?

Your answerChoose one option.

I and II only

I, III and IV only

I, II and IV only

II and IV only

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Let

and

be two topologies defined on

(the set of all natural numbers), where

is the topology generated by

and

is the discrete topology on

. Consider the following statements:

I. In

, every infinite subset has a limit point.

II. The function

defined by

is a continuous function.

Which of the above statements is/are TRUE?

Your answerChoose one option.

Both I and II

I only

II only

Neither I nor II

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Let

. Consider the following statements:

II.

where

and

(

is the set of all real numbers)

Which of the above statements is/are TRUE?

Your answerChoose one option.

Both I and II

I only

II only

Neither I nor II

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“The dress ________ her so well that they all immediately ________ her on her appearance.” The words that best fill the blanks in the above sentence are

Your answerChoose one option.

complemented, complemented

complemented, complimented

complimented, complemented

complimented, complimented

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“The judge’s standing in the legal community, though shaken by false allegations of wrongdoing, remained ________.” The word that best fills the blank in the above sentence is

Your answerChoose one option.

undiminished

damaged

illegal

uncertain

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Find the missing group of letters in the following series: BC, FGH, LMNO, _____

Your answerChoose one option.

UVWX

TUVW

STUV

RSTU

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The perimeters of a circle, a square and an equilateral triangle are equal. Which one of the following statements is true?

Your answerChoose one option.

The circle has the largest area.

The square has the largest area.

The equilateral triangle has the largest area.

All the three shapes have the same area.

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The value of the expression

is ________.

Your answerChoose one option.

-1

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Forty students watched films A, B and C over a week. Each student watched either only one film or all three. Thirteen students watched film A, sixteen students watched film B and nineteen students watched film C. How many students watched all three films?

Your answerChoose one option.

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GATE MA format:mcq PYQs

Question 40

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Question 43

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Question 6