Breathing through the mouth is not recommended because mouth doesn't have any filter mechanism like nostrils to filter dust while breathing.
Statement I is True and Statement II is the correct explanation.
We inhale air when we breathe through our nostrils. Fine hair and mucus are present inside the nose to prevent dust particles from getting into the respiratory system. But when we breathe through mouth, there is no filtration system to filter out dust particles. So it is not recommended.