1
GATE CSE 1998
MCQ (Single Correct Answer)
+1
-0.3
Suppose $$A$$ is a finite set with $$n$$ elements. The number of elements in the Largest equivalence relation of $$A$$ is
A
$$n$$
B
$${n^2}$$
C
$$1$$
D
$$n + 1$$
2
GATE CSE 1997
MCQ (Single Correct Answer)
+1
-0.3
The number of equivalence relations on the set $$\left\{ {1,2,3,4} \right\}$$ is
A
$$15$$
B
$$16$$
C
$$24$$
D
$$4$$
3
GATE CSE 1996
MCQ (Single Correct Answer)
+1
-0.3
Let $$A$$ and $$B$$ be sets and let $${A^c}$$ and $${B^c}$$ denote the complements of the sets $$A$$ and $$B$$. The set $$\left( {A - B} \right) \cup \left( {B - A} \right) \cup \left( {A \cap B} \right)$$ is equal to
A
$${A \cup B}$$
B
$${{A^c} \cup {B^c}}$$
C
$${A \cap B}$$
D
$${{A^c} \cap {B^c}}$$
4
GATE CSE 1996
MCQ (Single Correct Answer)
+1
-0.3
Let $$X$$ $$X = \left\{ {2,3,6,12,24} \right\}$$. Let $$ \le $$ the partial order defined by $$x \le y$$ if $$x$$ divides $$y$$. The number of edges in the Hasse diagram of $$\left( {X, \le } \right)$$ is
A
$$3$$
B
$$4$$
C
$$9$$
D
None of the above
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