Answer:
B will be at same place after all six rotations.
Step-by-step explanation:
If rotation maps to 
Then [tex]R^6[tex] means six rotations .
The given B after one rotation will shift in place of A
After second rotation will shift in place of F
After third rotation will shift in place of E
After fourth rotation will shift in place of D
After fifth rotation will shift in place of C
After sixth rotation will shift in place of B itself.
Therefore, B will come back to same place after all the required rotations.