For a parallel reaction,

 

 

 

 

If $k_1$ and $k_2$ are rate constant of disappearance of A as per reaction I and reaction II and $k_1={10}^{-3} {\sec }^{-1}$ and $k_2=2\times {10}^{-3} {\sec }^{-1}$ [Assume initially only A is present then identify the option(s) which is (are) not correct.]

Ratio of moles of B to C will be 1 : 2 at any instant.

After infinite time total moles will be between 2 to 3 if initially 1 mole of A is taken.

In 693 sec. around $\frac{1}{8}$ of initial reactant taken would be left.

At some time concentration of A, B and C all will be same.