Machine-translated by Google. Questions are authored in English.
Top

Discussion

Statements: M≤V; P<R; P=M; S>T; R≤T
Conclusions:
I. S>M
II. V=P
III. P<V
IV. T<P

  • A.Only I is true
  • B.Only II is true
  • C.None is true 
  • D.Either II or III and I are true
  • E.All are true

Answer: D

Correct answer: Either II or III and I are true

Combine the statements into what they jointly say. \( P = M \) ties two letters together, and \( P < R \le T < S \) runs from there up to S, while \( M \le V \) hangs V off the same point from below: \[ V \ge M = P < R \le T < S. \]

I. \( S > M \): reading right from M gives \( M = P < R \le T < S \), strict twice. True.

IV. \( T < P \): the same run shows \( T > P \), so this is definitely false.

II and III are the pair to think about. All we know of V is \( V \ge P \), from \( M \le V \) and \( P = M \). II claims \( V = P \) and III claims \( P < V \); neither is forced, because V could equal P or stand above it. But those two cases exhaust \( V \ge P \), so exactly one of them holds.

So I is definitely true, IV is definitely false, and either II or III is true - which is the keyed answer.

No comment is present. Be the first to comment.
Loading…

Post your comment

Please log in or register to post a comment.