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In a certain code: '&' means 'greater than', '@' means 'greater than or equal to', '#' means 'less than', '%' means 'less than or equal to', and '=' means 'equal to'. Given the statements P % Q and Q = R, which of the following is definitely true? Conclusion I: P # R. Conclusion II: P % R.

Competition practiceInequalities
  • AOnly conclusion I is true
  • BBoth conclusions are true
  • CNeither conclusion is true
  • DOnly conclusion II is true

Step-by-Step Solution

P ≤ Q and Q = R give P ≤ R, so II is true. Since P could equal R, P < R (I) is not definite.
Answer: D) Only conclusion II is true

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