1

GATE CSE 2002

MCQ (Single Correct Answer)

+2

-0.6

The binary relation $$S = \phi $$ (emply set) on set A = {1, 2, 3} is

2

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?

3

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?

4

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?

Questions Asked from Set Theory & Algebra (Marks 2)

Number in Brackets after Paper Indicates No. of Questions

GATE CSE 2021 Set 1 (1)
GATE CSE 2019 (1)
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GATE CSE 2007 (4)
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GATE CSE 2005 (3)
GATE CSE 2004 (2)
GATE CSE 2002 (1)
GATE CSE 2001 (2)
GATE CSE 2000 (2)
GATE CSE 1999 (1)
GATE CSE 1998 (3)
GATE CSE 1996 (3)
GATE CSE 1995 (1)
GATE CSE 1994 (1)
GATE CSE 1989 (1)
GATE CSE 1988 (1)

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