# Concept of logical reasoning

**Question**

“If students go to PVR, then it is raining.” Which statement below is logically equivalent?

a) If students do not go to PVR, then it is not raining.

b) If students do not go to PVR, then it is raining.

c) If it is raining, then students go to PVR

d) If it is not raining, then students do not go to PVR

**Solution**

If !!p-> q!!. If 'p' then 'q'. It is equal to !!~q->~p!!

Let !!p=!! Students go to PVR and !!q=!! It is raining.

!!~q =!! It is not raining and !!~p=!! Student don't go to PVR.

Therefore, option (d) is correct.