1
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
Let $W$ denote the words in the English dictionary. Define the relation $R$ by

$R=\{(x, y) \in W \times W \mid$ the words $x$ and $y$ have at least one letter in common}. Then, $R$ is
A
reflexive, symmetric and not transitive
B
reflexive, symmetric and transitive
C
reflexive, not symmetric and transitive
D
not reflexive, symmetric and transitive
2
AIEEE 2005
MCQ (Single Correct Answer)
+4
-1
Let $R=\{(3,3),(6,6),(9,9),(12,12),(6,12)$, $(3,9),(3,12),(3,6)\}$ be a relation on the set $A=\{3,6,9,12\}$. The relation is :
A
reflexive and symmetric only
B
an equivalence relation
C
reflexive only
D
reflexive and transitive only
3
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
Let $R=\{(1,3),(4,2),(2,4),(2,3),(3,1)\}$ be a relation on the set $A=\{1,2,3,4\}$. The relation $R$ is :
A
a function
B
transitive
C
not symmetric
D
reflexive
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