S is the surface of a lump of magnetic material.

1. Lines of B are necessarily continuous across S
2. Some lines of B must be discontinuous across S
3. Lines of H are necessarily continuous across S
4. Lines of H cannot all be continuous across S

(1, 4)
Magnetic field lines for magnetic induction (B) form continuous lines. So, lines of B are necessarily continuous across S.
Also, magnetic intensity H varies for inside and outside the lump. So, lines of H cannot all be continuous across S.