  We explore the possibility that the existing data on like-sign dileptons at
the $\Upsilon (4S)$ resonance consist of events arising from $B_{d}^0 -\bar
B_{d}^0$ mixing and also from $\Delta B = - \Delta Q$ transitions. The
consequences of these nonstandard transitions for certain time-asymmetries
which are likely to be measured at the $B$ factories are studied.
