1

GATE CSE 2007

MCQ (Single Correct Answer)

+1

-0.3

Let $$S$$ be a set6 of $$n$$ elements. The number of ordered pairs in the largest and the smallest equivalence relations on $$S$$ are

2

GATE CSE 2006

MCQ (Single Correct Answer)

+1

-0.3

A relation $$R$$ is defined on ordered pairs of integers as follows:
$$\left( {x,y} \right)R\left( {u,v} \right)\,if\,x < u$$ and $$y > v$$. Then $$R$$ is

3

GATE CSE 2006

MCQ (Single Correct Answer)

+1

-0.3

Let $$X,. Y, Z$$ be sets of sizes $$x, y$$ and $$z$$ respectively. Let $$W = X x Y$$ and $$E$$ be the set of all subjects of $$W$$. The number of functions from $$Z$$ to $$E$$ is

4

GATE CSE 2006

MCQ (Single Correct Answer)

+1

-0.3

The set $$\left\{ {1,\,\,2,\,\,3,\,\,5,\,\,7,\,\,8,\,\,9} \right\}$$ under multiplication modulo 10 is not a group. Given below are four plausible reasons.

Which one of them is false?

Questions Asked from Set Theory & Algebra (Marks 1)

Number in Brackets after Paper Indicates No. of Questions

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