1
GATE CSE 2010
MCQ (Single Correct Answer)
+1
-0.3
Consider the set $$S = \left\{ {1,\,\omega ,\,{\omega ^2}} \right\},$$ where $$\omega $$ and $${{\omega ^2}}$$, are cube roots of unity. If $$ * $$ denotes the multiplication operation, the structure $$\left\{ {S,\, * } \right\}$$ forms
A
a group
B
a ring
C
an integral domain
D
a field
2
GATE CSE 2009
MCQ (Single Correct Answer)
+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
3
GATE CSE 2009
MCQ (Single Correct Answer)
+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.
4
GATE CSE 2008
MCQ (Single Correct Answer)
+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
$$U$$
GATE CSE Subjects
Software Engineering
Web Technologies
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
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CBSE
Class 12