Discussion
Statements: P δ W, W $ Q, Q % S, S * A
Conclusions:
I. A δ Q
II. Q % P
III. W % A
Answer: D
Correct answer: All I, II and III are true
Translating this set’s code: \(\$\) is “neither greater nor smaller”, so \(=\); \(\delta\) is “neither greater than nor equal”, so \(<\); \(\%\) is “neither smaller than nor equal”, so \(>\); \(*\) is “not smaller than”, so \(\ge\); and \(\#\) is “not greater than”, so \(\le\). The statements become \[ P < W = Q > S \ge A. \] Q is a high point here, but every conclusion compares an element with Q or W rather than reaching across the peak, so each has an unbroken run to use.
I. \( A < Q \): reading down the right branch, \( Q > S \ge A \), strict at the first link. True.
II. \( Q > P \): the left branch, \( P < W = Q \). True.
III. \( W > A \): W equals Q, so this is conclusion I again with the peak named by its other letter: \( W = Q > S \ge A \). True.
All three follow. The comparison the chain would not settle is P against A - the two ends, one on each side of the peak - and the question does not ask for it.
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