1. Correct Answer: Option A: 1 only
 2. Explanation:
     Let's analyze the given statements and options:
     ● Statement I: If P is true, then both Q and S are true.  
           ○ This can be written as: \( P \rightarrow (Q \land S) \).
     ● Statement II: If R and S are true, then T is false.  
           ○ This can be written as: \( (R \land S) \rightarrow \neg T \).
     Now, let's evaluate the options:
     ● Option 1: If T is true, then at least one of P and R must be false.  
           ○ We know from Statement II that if \( R \land S \) is true, then T must be false. Therefore, if T is true, \( R \land S \) cannot be true, meaning at least one of R or S must be false.
           ○ From Statement I, if P is true, then S is true. Therefore, if T is true, P cannot be true because that would make S true, which contradicts T being true.
           ○ Thus, if T is true, at least one of P and R must be false. Option 1 is correct.
     ● Option 2: If Q is true, then P is true.  
           ○ From Statement I, we know that if P is true, then Q is true. However, the converse is not necessarily true; Q being true does not imply P is true.
           ○ Therefore, Option 2 is not correct.
     Based on the analysis, the correct conclusion is Option A: 1 only.