To find the maximum number of DVDs Jeremy could store on the bookshelf, we need to multiply the number of shelves by the maximum number of DVDs that can fit on each shelf.
There are 6 shelves, and each shelf can hold 32 DVDs:
\[ \text{Maximum number of DVDs} = \text{number of shelves} \times \text{maximum DVDs per shelf} = 6 \times 32 \]
Now, calculating:
\[ 6 \times 32 = 192 \]
Thus, the maximum number of DVDs that Jeremy could store on the bookshelf is 192.
Therefore, the correct answer is C. 192.