A watch which gains uniformly is 2 minutes low at noon on Monday and is 4 min. 48 sec fast at 2 p.m. on the following Monday. When was it correct?

 Time from 12 p.m. on Monday to 2 p.m. on the following Monday = 7 days 2 hours = 170 hours. 

 The Watch gains $2+4\frac{4}{5}$ min.  or $\frac{34}{5}$  min.in 170 hrs. 

Now,   $\frac{34}{5}$min.are gained in 170 hrs. 

  2 min.are gained in $170*\frac{5}{34}*2$ hrs=50 hrs 

 Watch is correct 2 days 2 hrs. after 12 p.m. on Monday i.e., it will be correct at 2 p.m. on Wednesday