If a3b = abc = 180, a, b, c are positive integers, then the value of c is?

Answer: Option B

$$\begin{array}{rl}& \text{Let , }\\ & a=1\\ & b=180\\ & c=1\\ & \therefore a^{3}b=abc=180\left(\text{Satisfied}\right)\\ & \therefore c=1\end{array}$$