Design: Object method vs separate class's method which takes Object as parameter?

Question

For example, is it better to do:

Pdf pdf = new Pdf();
pdf.Print();

or:

Pdf pdf = new Pdf();
PdfPrinter printer = new PdfPrinter();
printer.Print(pdf);

Another example:

Country m = new Country("Mexico");
double ratio = m.GetDebtToGDPRatio();

or:

Country m = new Country("Mexico");
Country us = new Country("US");
DebtStatistics ds = new DebtStatistics();
double usRatio = ds.GetDebtToGDPRatio(us);
double mRatio = ds.GetDebtToGDPRatio(m);    

My concern in the last example is there are potentially endless statistics (but let's say even just 10) you might want to know about a country; do they all belong on the country object?

e.g.

Country m = new Country("Mexico");
double ratio = m.GetGDPToMedianIncomeRatio();

These are simple ratios but lets assume the statistics are complicated enough to warrant a method.

Where is that line between operations that are intrinsic to an object vs operations that can be performed on an object but are not part of it?