Answer: Option 'D' is correct.
Step-by-step explanation:
Since we know that
Discrete variable are those variable which takes only a finite number of values.
Continuous variable are those variable which takes the range in between any two observed value.
Here our question is :
Length of a nail.
Length of a nail takes only a finite number of values, so it is considered as "Discrete variable".
It is discrete because it is countable.
Hence, Option 'D' is correct.