1

GATE CSE 2000

MCQ (Single Correct Answer)

+2

-0.6

A relation R is defined on the set of integers as zRy if f (x + y) is even. Which of the following statements is true?

2

GATE CSE 2000

MCQ (Single Correct Answer)

+2

-0.6

Let P(S) denote the power set of a set S. Which of the following is always true?

3

GATE CSE 1999

Subjective

+2

-0

(a) Mr. X claims the following:

If a relation R is both symmetric and transitive, then R is reflexive. For this, Mr. X offers the following proof.

"From xRy, using symmetry we get yRx. Now because R is transitive, xRy and yRx togethrer imply xRx. Therefore, R is reflextive."

Briefly point out the flaw in Mr. X' proof.

(b) Give an example of a relation R which is symmetric and transitive but not reflexive.

4

GATE CSE 1998

MCQ (Single Correct Answer)

+2

-0.6

The binary relation R = {(1, 1)}, (2, 1), (2, 2), (2, 3), (2, 4), (3, 1), (3, 2), (3, 3), (3, 4) } on the set A = { 1, 2, 3, 4} is

Questions Asked from Set Theory & Algebra (Marks 2)

Number in Brackets after Paper Indicates No. of Questions

GATE CSE 2024 Set 2 (1)
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GATE CSE 1988 (1)

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