53
Let $R=\{(3,1),(1,3),(3,3)\}$ be a relation defined on the set $A=\{1,2,3\}$. Then, $R$ is symmetric, transitive but not reflexive.
A
TRUE
B
FALSE
54
If $f: R \rightarrow R$ be the function defined by $f(x)=\sin (3 x+2) \forall x \in R$. Then, $f$ is invertible.
A
TRUE
B
FALSE
55
Every relation which is symmetric and transitive is also reflexive.
A
TRUE
B
FALSE
56
An integer $m$ is said to be related to another integer $n$, if $m$ is a integral multiple of $n$. This relation in $Z$ is reflexive, symmetric and transitive.
A
TRUE
B
FALSE
57
If $A=\{0,1\}$ and $N$ be the set of natural numbers. Then, the mapping $f: N \rightarrow A$ defined by $f(2 n-1)=0, f(2 n)=1, \forall n \in N$, is onto.
A
TRUE
B
FALSE