1
GATE CSE 2008
+1
-0.3
If $$P, Q, R$$ are subsets of the universal set $$U$$, then
$$\left( {P \cap Q \cap R} \right) \cup \left( {{P^c} \cap Q \cap R} \right) \cup {Q^c} \cup {R^c}$$ is
A
$${Q^c} \cup {R^c}$$
B
$$P \cup {Q^c} \cup {R^c}$$
C
$${P^c} \cup {Q^c} \cup {R^c}$$
D
$$U$$
2
GATE CSE 2007
+1
-0.3
What is the maximum number of different Boolean functions involving $$n$$ Boolean variables?
A
$${n^2}\,$$
B
$${2^n}$$
C
$${2^{{2^n}}}$$
D
$${2^{{n^2}}}$$
3
GATE CSE 2007
+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
A
$$n$$ and $$n$$
B
$${n^2}\,$$ and $$n$$
C
$${n^2}\,$$ and $$0$$
D
$$n$$ and $$1$$
4
GATE CSE 2006
+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
A
Neither a Partial Order nor an Equivalence Relation
B
A Partial Order but not a Total Order
C
A Total Order
D
An Equivalence relation
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