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Discussion

Statements

K*H ,H%G ,G$I

Conclusions

I.H$I         II.G#K         III.K%I

  • A.only I is true 
  • B.I and II is true
  • C.only III i true 
  • D.None is true
  • E.All of the above

Answer: B

Correct answer: All of the above

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 \( K = H \), \( H \le G \) and \( G < I \), which chain into the single line \[ K = H \le G < I. \] Conclusion I is \( H < I \): from \( H \le G < I \) it follows that \( H < I \) - true. Conclusion II is \( G \ge K \): since \( K = H \) and \( H \le G \), we have \( G \ge K \) - true. Conclusion III is \( K \le I \): \( K = H \le G < I \) gives \( K < I \), which satisfies \( K \le I \) - true. All three follow, so the answer is “All of the above”. As in the previous item, III is easy to reject by mistake: \( K \le I \) asks only that K is not greater than I, and \( K < I \) meets that.

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