1

GATE CSE 2001

MCQ (Single Correct Answer)

+2

-0.6

Consider the following statements:

S1: There exist infinite sets A, B, C such that

$$A\, \cap \left( {B\, \cup \,C} \right)$$ is finite.

S2: There exist two irrational numbers x and y such that (x + y) is rational.

Which of the following is true about S1 and S2?

2

GATE CSE 2001

MCQ (Single Correct Answer)

+2

-0.6

Let $$f:\,A\, \to B$$ be a function, and let E and F be subsets of A. Consider the following statements about images.

$$S1:\,f\,\left( {E\, \cup \,F} \right)\, = \,f\left( E \right)\, \cup \,f\,\left( F \right)$$

$$S2:\,f\,\left( {E\, \cap \,F} \right)\, = \,f\left( E \right)\, \cap \,f\,\left( F \right)$$

Which of the following is true about S1 and S2?

3

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?

4

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?

Questions Asked from Set Theory & Algebra (Marks 2)

Number in Brackets after Paper Indicates No. of Questions

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