Test of Fact
Fact will stand the scrutiny of logic, but not larger life logic. For example, if somebody makes a statement, 'Earth is flat', yes, it will stand the scrutiny of your simple, straightforward logic. 'Yes, it looks flat. So it is flat.' But it won't stand the larger logic which you can understand with various equipment, not just with your eyes.
Test of Truth
Truth will stand anything which you can grasp, like logic, larger logic, instruments, scientific discovery, research etc. Truth will stand for anything. But, still, it is not reality. It won't stand the scrutiny of Consciousness.
Test of Reality
Reality is the one and only one which can stand the scrutiny of the Consciousness.
All confusion in the world is the fight between Perception, Fact, Truth, and Reality. Whether it is in the field of religion, science, spirituality, logic, law, mathematics, any field, it is just the fight between Perception, Fact, Truth, and Reality.
Experiencing Reality
Reality is not based upon what a large number of people in society say nor can it be understood by one's simple logic which can help only in day to day transactions. Only by the strength of a) declaration of scriptures and b) experience of Guru, experience of reality happens in an individual.