Answer:
A. The length (in minutes) of the longest telephone call made in a day - This data is numerical and continuous as the value is calculated by a measuring process.
B. Whether someone in the household owns a smart phone - It is a categorical variable as this question can only be yes or no.
C. The number of cell phones in the household - It is a numerical variable which is discrete as counting is used to answer this.
We can define the continuous data as a data can take on any value(integer or decimal like your weight)
Discrete numbers are whole numbers or integers.