Discussion
Statements:
F > G = H < I> J; K < L> M > N > H; H < B>
Conclusions:
(a) F > M (b) C > J
Answer: D
Correct answer: Neither conclusion a nor b follows
What survives reads \( F > G = H < I \;?\; J \), \( K < L \;?\; M > N > H \) and \( H < B \;?\; \).
Conclusion (a) can be tested in full, and it fails. It claims \( F > M \). From the first statement \( F > G = H \), so F stands above H; from the second \( M > N > H \), so M stands above H as well. They are on separate branches rising from H, and nothing orders them: taking \( H = 1 \), both \( F = 2, M = 9 \) and \( F = 9, M = 2 \) satisfy every surviving statement. Does not follow.
Conclusion (b) claims \( C > J \), and C appears nowhere in the statements, so it cannot follow from them.
A note on this item: its statements have been damaged in this record. A raw < in the stored HTML swallows everything up to the next >, and in a question written entirely out of < and > signs that removes whole relations. The keyed answer stands, and conclusion (a) is demonstrable exactly as shown.
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