Assertion :

Aluminium containers can be used for storing $HN{O}_3$.

Reason: Nitric acid cannot oxidize aluminium at all.

The correct option is C Assertion is correct but Reason is incorrect
These containers usually have a plastic coating covering the entire inside.
The $A{l}_2{O}_3$ coatings WILL dissolve in concentrations of aqueous Nitric acid more dilute than about 90% $HN{O}_3$.
$A{l}_2{O}_3\left(s\right)+6HN{O}_3\left(aq\right)\to 2Al\left(N{O}_3{)}_3\right(aq)+3H_{2}O$
Concentrations above 90% HNO3 are so strongly oxidizing that they do not react with the Aluminum oxide coating. Aluminum storage tanks for industrial sites have been used for storing $HN{O}_3$, but Aluminum do not react with concentrated nitric acid since a thick, hard to dissolve oxidation layer builds (passive oxidation) that protects the metal against further assaults.
This Option C is correct.