Let $R$ be a relation on $Z \times Z$ defined by $( a , b ) R ( c , d )$ if and only if $a d - b c$ is divisible by 5 . Then R is\\
(1) Reflexive and symmetric but not transitive\\
(2) Reflexive but neither symmetric not transitive\\
(3) Reflexive, symmetric and transitive\\
(4) Reflexive and transitive but not symmetric