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Statements: A # N % O π T π H # E

Conclusion: 

I. E $ O

II. H © N

  • A.only conclusion I is true.
  • B.only conclusion II is true.
  • C.either conclusion I or II is true.
  • D.neither conclusion I nor II is true.
  • E.both conclusions I and II are true.

Answer: D

Correct answer: only conclusion I is true.

This set’s code reads \(\#\) as \(<\), \(©\) as \(>\), \(\pi\) as \(\le\), \(\$\) as \(\ge\) and \(\%\) as \(=\). The statement becomes \[ A < N = O \le T \le H < E. \] This one has no reversal at all - it climbs from A to E in a single direction - so every comparison along it can be settled, and the only question is whether the result is strict.

I. \( E \ge O \): the run \( O \le T \le H < E \) contains a strict link at the end, so in fact \( E > O \), which satisfies the weaker claim the conclusion makes. True.

II. \( H > N \): the run \( N = O \le T \le H \) is weak at every link, so it gives only \( H \ge N \). The conclusion asks for the strict relation, and equality is not excluded - taking N, O, T and H all equal satisfies every statement. Not determined.

Only I follows. The contrast between the two is the whole lesson: a chain with one strict link proves the strict conclusion and the weak one; a chain of purely weak links proves only the weak one.

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