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In a certain code, 'A % B' means 'A is greater than or equal to B', 'A ^ B' means 'A is greater than B', and 'A ~ B' means 'A is smaller than or equal to B'. Given that 'X % Y', 'Y ^ Z' and 'Z % W' are true, which of the following is definitely true?

Competition practiceInequalities
  • AX is greater than W
  • BY is smaller than W
  • CX is equal to Z
  • DW is greater than X

Step-by-Step Solution

The statements give X >= Y, Y > Z and Z >= W, so X >= Y > Z >= W. The strict Y > Z forces X > W.
Answer: A) X is greater than W

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