What will come at the place of question mark ? 5760,2880,960, 240, 48, ?

The answer is 12.

The sequence is a geometric sequence with a common ratio of $\frac{1}{3}$. This means that each term is $\frac{1}{3}$ of the term before it. So, the next term in the sequence is $\frac{1}{3} \times 48 = 16$.

Option A: 6 is not in the sequence.
Option B: 8 is not in the sequence.
Option C: 12 is in the sequence.
Option D: 16 is in the sequence.