The standard EMF (\(E_{\text{cell}}^\circ\)) of a Galvanic cell is given by the equation:
\[
E_{\text{cell}}^\circ = E^\circ_{\text{cathode}} - E^\circ_{\text{anode}}.
\]
In this case, the cathode will be the electrode with the more positive electrode potential, and the anode will be the electrode with the more negative electrode potential.
Given:
- \(E^\circ_{\text{A}} = -0.25 \, \text{V}\),
- \(E^\circ_{\text{B}} = -0.76 \, \text{V}\).
Thus, the anode will be electrode-B (more negative), and the cathode will be electrode-A.
\[
E_{\text{cell}}^\circ = (-0.25) - (-0.76) = 0.51 \, \text{V}.
\]
Therefore, the standard EMF of the cell is \(0.51 \, \text{V}\), and electrode-A will act as the anode.