The scenario in which there is not the conservation of momentum is when the objects sticks together. Option C.
We know that momentum is a vector quantity. This implies that momentum would have both magnitude and direction. The fact that momentum has both magnitude and direction implies that we have to consider where the arrow of the velocity direction of the momentum is pointing.
By the law of the conservation of linear momentum, we know that the total momentum of a closed system is a constant. The meaning of this is that the total momentum before collision must be equal to the total momentum after collision.
If the objects do stick together after the collision, there would be a loss of the momentum of the objects thus there is no conservation of momentum in that case.
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