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Discussion

Statements

Q=Z ,C>=G .G>=Q ,Q>=R ,J>=C

Conclusions

I.G>=Z

II.C>=R

  • A.Only Conclusion I follows 
  • B.Only conclusion II follows
  • C.Either conclusion I or II follows
  • D.Neither conclusion I or II follows
  • E.Both conclusions I and II follow

Answer: E

Correct answer: Both conclusions I and II follow

The statements are \( Q = Z \), \( C \ge G \), \( G \ge Q \), \( Q \ge R \) and \( J \ge C \). Lining them up gives one long chain: \[ J \ge C \ge G \ge Q = Z \ge R. \]

Conclusion I claims \( G \ge Z \). Read the chain from G: \( G \ge Q \), and \( Q = Z \), so \( G \ge Z \). Follows.

Conclusion II claims \( C \ge R \). Read from C: \( C \ge G \ge Q \ge R \). Every link points the same way, so \( C \ge R \). Follows.

Both follow. Note that every link here is weak - \(\ge\) or \(=\) - so both conclusions come out weak too; had either conclusion asked for a strict inequality it would have failed, because nothing in the statements forbids all five values being equal.

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