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Discussion

Statements: C # P, P * L, L @ E, E $ M
Conclusions:
I. M # P
II. M @ L
III.P # E
IV.L # C

  • A.None is true
  • B.Only I is true
  • C.Only II is true
  • D.Only III is true
  • E.Only IV is true

Answer: A

Correct answer: None is true

This set’s code reads \(\$\) as \(\ge\), \(@\) as \(>\), \(\#\) as \(<\), \(\&\) as \(=\) and \(*\) as \(\le\). The statements become \[ C < P \le L > E \ge M. \] L is a high point, and every conclusion asks about a pair that straddles it or hangs below it on separate branches.

I. \( M < P \): M sits at or below E, and P at or below L, with the peak between them. Not determined.

II. \( M > L \): the chain gives \( M \le E < L \), so \( M < L \). Definitely false.

III. \( P < E \): both stand below L on separate branches. Not determined.

IV. \( L < C \): the chain gives \( C < P \le L \), so \( L > C \). Definitely false.

None of the four follows - two because the comparison is impossible, two because it comes out the opposite way.

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