Discussion
Statements
B@D ,D%F ,F#H
Conclusions
I.F@B II.H*D III.H%B
Answer: D
Correct answer: None are true
In this set the code reads: \(@\) is “neither smaller nor equal”, so \(>\); \(\#\) is “not smaller than”, so \(\ge\); \(\%\) is “not greater than”, so \(\le\); \(*\) is “neither smaller nor greater”, so \(=\); and \(\$\) is “neither greater nor equal”, so \(<\). The statements become \( B > D \), \( D \le F \) and \( F \ge H \).
The chain breaks at D. B stands above D and F stands above D, so the relation reverses direction there and nothing carries across it - and H hangs below F, on the far side of the same break.
I. \( F @ B \) asks whether \( F > B \). Both merely stand above D. With \( D = 1 \), \( B = 2 \) and \( F = 9 \) works, and so does \( B = 9 \) and \( F = 2 \). Does not follow.
II. \( H * D \) asks whether \( H = D \). H is at or below F, and D is at or below F, which permits them to be equal but does not require it. Does not follow.
III. \( H \% B \) asks whether \( H \le B \). H reaches B only through F and D, and the direction reverses at D. Does not follow.
None of the three is definite.
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