The relationship between "KERNEL : SHELL" is that a kernel is a part inside a shell; the shell encases or surrounds the kernel. Now, let's evaluate each pair to identify which does not fit this relationship:
Caterpillar : Pupa - A caterpillar changes into a pupa. This is a transformation and does not match the insider-surrounding relationship.
Larva : Cacoon - A larva spins a cocoon around itself; the cocoon surrounds the larva. This resembles the kernel-shell relationship.
Lassitude : Syncope - Lassitude can lead to syncope (fainting); however, this is not a physical inside-surrounding relationship like kernel and shell. Still, it's a form of progression.
Passenger : Car - A passenger is inside a car, fitting the inside-surrounding paradigm. This aligns more closely with the kernel-shell relationship but also adds functionality.
The relationship pair that does not fit the insider-outsider pattern is "Caterpillar : Pupa" because this is a progression rather than a spatial encapsulation.