Which of the following is a regulatory gene?

What is the location of the product of the $Lac \, y$ gene?

Mark the incorrect option with respect to the $lac$ operon.

$A$: Operator gene is functional when it is not blocked by repressor.
$R$: Regulator gene produces active protein only which acts on operon system in $E. coli$.

$Y$ gene in $lac$ operon is responsible for .....

Match List-$I$ with List-$II$:

List-$I$	List-$II$
$a$. In lac operon $i$ gene codes for	$i$. Transacetylase
$b$. In lac operon $z$ gene codes for	$ii$. Permease
$c$. In lac operon $y$ gene codes for	$iii$. $\beta$-galactosidase
$d$. In lac operon $a$ gene codes for	$iv$. Repressor

Choose the correct answer from the options given below: