True or false an elastic collision is one where neither of the two colliding particles lose some of their kinetic energy

Question

True or false an elastic collision is one where neither of the two colliding particles lose some of their kinetic energy

Answer 1

Elastic collisions do not result in loss of kinetic energy for both particles, this is not true for inelastic collisions. The answer should be False.

Answer 2

I think the answer to this is false.  The TOTAL kinetic energy is unchanged, but it's possible for one particle transfer some of its kinetic energy to the other.  So one particle may gain kinetic energy while the other loses some.