To find which term of the arithmetic progression (A.P.) \(2, 5, 8, \ldots\) is 44, we use the formula for the \(n\)-th term of an A.P.:

\[
a_n = a + (n - 1) \cdot d
\]

where:
- \(a\) is the first term of the A.P.,
- \(d\) is the common difference,
- \(a_n\) is the \(n\)-th term,
- \(n\) is the term number.

Here:
- \(a = 2\),
- \(d = 5 - 2 = 3\),
- \(a_n = 44\).

Substitute these values into the formula:

\[
44 = 2 + (n - 1) \cdot 3
\]

First, subtract 2 from both sides:

\[
42 = (n - 1) \cdot 3
\]

Next, divide both sides by 3:

\[
14 = n - 1
\]

Finally, add 1 to both sides:

\[
n = 15
\]

So, the term of the A.P. that is 44 is the 15th term.

The correct answer is B. 15.