1

GATE CSE 2005

MCQ (Single Correct Answer)

+1

-0.3

Let $$f$$ be a function from a set $$A$$ to a set $$B$$, $$g$$ a function from $$B$$ to $$C$$, and $$h$$ a function from $$A$$ to $$C$$, such that $$h\left( a \right) = g\left( {f\left( a \right)} \right)$$ for all $$a \in A$$. Which of the following statements is always true for all such functions $$f$$ and $$g$$?

2

GATE CSE 2005

MCQ (Single Correct Answer)

+1

-0.3

Let $$A$$, $$B$$ and $$C$$ be non-empty sets and let $$X = (A - B) - C$$ and $$Y = (A - C) - (B - C)$$

Which one of the following is TRUE?

3

GATE CSE 2005

MCQ (Single Correct Answer)

+1

-0.3

The following is the Hasse diagram of the poset $$\left[ {\left\{ {a,b,c,d,e} \right\}, \prec } \right]$$

The poset is:

4

GATE CSE 2004

MCQ (Single Correct Answer)

+1

-0.3

Consider the binary relation: $$S = \left\{ {\left( {x,y} \right)|y = x + 1\,\,and\,\,x,y \in \left\{ {0,1,2,...} \right\}} \right\}$$

The reflexive transitive closure of $$S$$ is

Questions Asked from Set Theory & Algebra (Marks 1)

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GATE CSE 2020 (2)
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