1
GATE CSE 2009
+1
-0.3
Which one of the following in NOT necessarily a property of Group?
A
Commutativity
B
Associativity
C
Existence of inverse for every element
D
Existence of identity
2
GATE CSE 2009
+1
-0.3
consider the binary relation $$R = \left\{ {\left( {x,y} \right),\,\left( {x,z} \right),\,\left( {z,x} \right),\,\left( {z,y} \right)} \right\}$$ on the set $$\left\{ {x,\,y,\,z} \right\}$$. which one of the following is TRUE?
A
$$R$$ is symmetric but $$NOT$$ antisymmetric
B
$$R$$ is NOT symmetric but antisymmetric
C
$$R$$ is both symmetric and antisymmetric.
D
$$R$$ is neither symmetric nor antisymmetric.
3
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
$$U$$
4
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
$${2^{{n^2}}}$$
GATE CSE Subjects
EXAM MAP
Medical
NEET