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Discussion

Statements

R$S ,S@T ,T#U

Conclusions

I.U%S         II.T$R         III.S@U

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

Answer: C

Correct answer: None of these

Translating the code: \(@\) is “greater than”, \(\#\) is “greater than or equal to”, \(\%\) is “less than or equal to”, \(*\) is “equal to” and \(\$\) is “less than”. The statements read \( R < S \), \( S > T \) and \( T \ge U \). Chaining the last two gives \( S > T \ge U \), so \( S > U \). Conclusion III is \( S @ U \), that is \( S > U \) - true. But conclusion I is \( U \% S \), that is \( U \le S \), and \( S > U \) certainly makes \( U \le S \) hold - so I is true as well. Conclusion II is \( T < R \); here \( R < S \) and \( T < S \) both point at S from below, which fixes no order between R and T, so II does not follow. Conclusions I and III are true and II is not, and no option offers that combination - hence “None of these”. The trap is reading \(\le\) as requiring equality to be possible; a strict inequality satisfies it.

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