Hint:
From, the given statements
We can conclude that
Daniel can either take room 3 or 4. Consequentially, If Daniel is in room 3, Eric will be in room 6 and if Daniel will be in room 4, Erice will be in room 1.
Fred can either be in room 6 or room 1. Consequentially, Betty can either be in room 2 or in room 5.
Now, its mentioned that Eric was taken to an odd-numbered room. So, we can conclude that Eric will be in ROOM 1 . If Eric is in Room 1, Daniel will be in ROOM 4.
Now, As room 1 is taken by Eric, Fred is left with Room 6. This means that FRED will be in ROOM 6. Consequentially, Betty will be in ROOM 5.
We have been told that Anna was in an even numbered room. The only even numbered room remaining is ROOM 2. So, the left out room i.e., ROOM 3 will be taken by Celeste
