Determine the number of times 3 is present in the given series where it is followed by a prime number but not preceded by a number which is a multiple of 2 ?
3 5 4 8 4 3 7 0 9 8 3 9 4 3 7 7 5 3 1 2 0 7 3 2

In the above series, 3 occurs 6 times. 

Out of those 6 times, 3 is preceded by a number which is a multiple of 2 (4,8,4). 

Out of the remaining 3 times, one 3 is followed by 1 which is not a prime number. Hence, we can rule that out. 

The only possible cases remaining are two where 3 is followed by a prime number and not preceded by a number which is multiple of 2 (The first digit which is followed by 5 and not preceded by any number and 7,2). 

Hence, we have 2 such 3. 

Option B.