P, Q, R, S and T are ranked 1 to 5 (not necessarily in that order). The rank of P is 4, the rank of Q is not 5, the rank of R is 1, the rank of S is not 2, the rank of T is not 3. Then which of the following is/are correct?
I. If the rank of S is 3, then that of T is 2.
II. If the rank of Q is 3, then that of T is 5.

Select the answer using the code given below.

Correct Answer: (D) Neither I nor II

Given ranks: $R = 1$ and $P = 4$, leaving ranks $\{2, 3, 5\}$ for $\{Q, S, T\}$ subject to conditions $Q$$\neq$ 5, $S$$\neq$ 2, and $T$$\neq$ 3. In Statement I, if $S = 3$, the remaining ranks for Q and T are $\{2, 5\}$; since $Q$$\neq$ 5, we must have $Q = 2$ and $T = 5$, which contradicts the claim that $T = 2$ (Statement I is false). In Statement II, if $Q = 3$, the remaining ranks for S and T are $\{2, 5\}$; since $S$$\neq$ 2, we must have $S = 5$ and $T = 2$, which contradicts the claim that $T = 5$ (Statement II is false). Hence, neither statement is correct.