Whenever there is no change in kinetic energy, there will always be a change in potential energy.
False
Whenever there is no change in kinetic energy, it is not necessary that there will always be a change in potential energy. For example, suppose you want to go from place A to place B while riding a bicycle on a leveled ground. You start from rest from A and finally stop at B. The initial and final kinetic energy is zero because initial and final velocity is zero. Hence, the change in kinetic energy is zero. Since you are riding on a leveled ground, the change in potential energy is also zero. Thus, the given statement is false.