Which of the following sets of physical quantities cannot be taken...

Fundamental quantities in any system of units must be independent of each other, meaning no quantity in the set can be derived from the other quantities in the same set.

In the set containing length, time and velocity, velocity can be expressed as the ratio of length to time ($v = \dfrac{L}{T}$).

Since velocity is not independent of length and time, this set cannot be chosen as a set of fundamental quantities.

In all other given sets, the three quantities are mutually independent.