Firstly, let me tell you that there is a slight different in between the High Court and civil court with respect to the filing of condonation of delay application.
Secondly, as per your query, yes you may have to specify the section 5 of limitation read with section 151 of CPC to condone the delay in the civil court.
Thirdly, whereas in Hoh Court, you may seek this relief only by mentioning section 151 of CPC as it gives immense power to High Court.
Fourhtly, but, yes you will have to give satisfactory reasons for condoning the delay though chances are more than 80 percent to get it accepted by the court.
Good Luck...!