Weights — Among M, P, K, J, T, W, who is lighter than only the heaviest (i.e., second heaviest)? Statements: I. P is heavier than M and T. II. W is heavier than P but lighter than J, and J is not the heaviest.

Introduction / Context:
We need the person who is lighter than only the heaviest (rank 2 by weight). Partial inequalities are given.

Given Data / Assumptions:

• I: P > M and P > T.
• II: J is above W (J > W) and W > P; additionally, J is not the heaviest, meaning someone else is heavier than J.
• No relations given for K against others.

Concept / Approach:
Combine inequalities; check if any person is forced to be second heaviest.

Step-by-Step Solution:

Verification / Alternative check:
Construct consistent orders where the second heaviest differs (e.g., Case A: X > J > W > P > K > M > T → second = J; Case B: X > K > J > W ... → second = K).

Why Other Options Are Wrong:

• A/B/C/E: Insufficient constraints; both statements together still leave K and the unknown heaviest free.

Common Pitfalls:
Assuming transitivity to absent elements; overlooking that 'J not heaviest' does not place J relative to K.

Final Answer:
D — Together not sufficient.