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In a code: 'X @ Y' means X > Y; 'X # Y' means X ≥ Y; 'X $ Y' means X = Y; 'X % Y' means X < Y; 'X & Y' means X ≤ Y. Given the statements 'X % Y', 'Y & Z' and 'Z @ W', which of the following is definitely true?

Competition practiceInequalities
  • AW @ Y
  • BX @ W
  • CZ @ X
  • DY @ Z

Step-by-Step Solution

Decoding gives X < Y, Y ≤ Z and Z > W. From X < Y ≤ Z we get Z > X, written 'Z @ X'. No relation between X and W is fixed.
Answer: C) Z @ X

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