Correct option is C
Given:
Arranging them according to the given information,
I. A sits third to the right of D.
II. Neither A nor D sits at the extreme ends.
III. T faces D.
IV. B sits at one of the extreme ends.
V. Only two people sit between B and E.
From above information there are two cases are possible-

VI. V does not face A, and V does not sit at any of the extreme ends.
VII. V is not an immediate neighbour of T.
VIII. E does not face V.
Here, case II is eliminated.

IX. Two persons sit between R and Q.
X. R is not an immediate neighbour of T.
XI. C does not face V.
XII. P is not an immediate neighbour of R.
Thus, the final arrangement is given below as-

From the above arrangements there are two (Q and V) sits between T and S.