First of all, In Dining Philosopher two things are definitely going to happen:
1. Starvation, as one philosopher always has to wait for every other philosophers to finish.
2. No deadlock, since resource/s of the waiting philosopher is/are always available.
Above Point 2 eliminates every probability of a deadlock in Dining Philosopher problem so option a,b,e are out except d. Examining closely Option d, we find that the number of philosophers keep on increasing but the rate at which philosopher is done with its job leads to a deadlock.
Therefore, option c is the answer, with absolute starvation in (i).