1. Correct Answer: Option B: Only Conclusion-2 follows from the Statement.
 2. Explanation:
     Let's analyze the given statements and conclusions using the defined operations:
     ● Statement Analysis:  
       ● P x Q: According to III, P is not smaller than Q, which means P ≥ Q.  
       ● P - T: According to II, P is not greater than T, which means P ≤ T.  
       ● T ÷ R: According to IV, T is neither greater nor equal to R, which means T < R.  
       ● R ± S: According to V, R is neither smaller nor greater than S, which means R = S.  
     ● Conclusion Analysis:  
       ● Conclusion-1: Q + T: According to I, Q is neither smaller nor equal to T, which means Q > T.  
             ○ From the statements, we have:
               ○ P ≥ Q (from P x Q)
               ○ P ≤ T (from P - T)
               ○ Combining these, we get Q ≤ P ≤ T.
               ○ Therefore, Q ≤ T, which contradicts Q > T. Hence, Conclusion-1 does not follow.
       ● Conclusion-2: S + Q: According to I, S is neither smaller nor equal to Q, which means S > Q.  
             ○ From the statements, we have:
               ○ R = S (from R ± S)
               ○ T < R (from T ÷ R), which implies T < S
               ○ P ≤ T (from P - T), which implies P < S
               ○ P ≥ Q (from P x Q), which implies Q ≤ P
               ○ Combining these, we get Q ≤ P < S, which implies S > Q.
             ○ Therefore, Conclusion-2 follows.
     Based on the analysis, only Conclusion-2 follows from the given statements.