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In a code, 'P ★ Q' means P is greater than Q; 'P ◆ Q' means P is less than Q; 'P ● Q' means P is equal to Q. Given A ★ B, B ● C and C ◆ D, which statement is definitely true?

Competition practiceInequalities
  • AB is greater than D
  • BA is greater than C
  • CD is less than A
  • DA is greater than D

Step-by-Step Solution

A ★ B means A > B; B ● C means B = C; C ◆ D means C < D. So A > B = C, giving A > C. The relations with D cannot be fixed. 'A is greater than C' is definitely true.
Answer: B) A is greater than C

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