Statement - I : A voltage supply from which one needs high currents must have very low internal resistance.
Statement – II  The maximum current drawn from a cell is $\epsilon$/r only 

By Ohms Law, I=V/R. Now, if the current required is high, the voltage should be high and the resistance should be low. Hence, a low voltage supply from which one needs high currents must have very low internal resistance. 

The value of V is $V= \epsilon -ir$, where r is the internal resistance. 

Maximum value of I can be $I = \frac{V}{R}=\frac{\epsilon -Ir}{R}=\frac{\epsilon }{R}$when internal resistance is zero.