Question

In a certain society, only one marriage is allowed for any given person. In this society, the "wife" relation is

• A. Reflexive but neither symmetric nor transitive
• B. Symmetric but netiher reflexive nor transitive
• C. Tansitive but neither symmetric nor reflexive
• D. Neither reflexive nor symmetric nor transitive

Answer 1

The correct option is C Tansitive but neither symmetric nor reflexive

(Note : $a\to b$ donates a relates to b)

For the relation to be reflective, for

any person a, a should relate to a,

which is not possible as same

gender person cannot marry.

For symmetric , if $a\to b$ ,then $b\to a$,

which is not possible as If b is a

wife of a then a cannot be a wife

of b.

for being transitive, if $a\to b$ and $b\to c,$

then a should relate to c, but here

If b is a wife of a, she cannot be

Husband of c, hence here we have

no $a\to b$ and $b\to c$ relation, hence

the relation is transitive (note "if"

written in condition). $\Rightarrow$ Option (c)