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In a certain code: 'X @ Y' means X >= Y; 'X $ Y' means X > Y; 'X * Y' means X = Y. Given 'P @ Q' and 'Q * R', which conclusion(s) are definitely true? I. P $ R (P > R).
II. P * R (P = R).

Competition practiceInequalities
  • AOnly conclusion I follows
  • BEither conclusion I or II follows
  • CNeither conclusion I nor II follows
  • DOnly conclusion II follows

Step-by-Step Solution

P >= Q and Q = R give P >= R, which means either P > R or P = R. Neither is certain alone, but together they exhaust P >= R, so either I or II follows.
Answer: B) Either conclusion I or II follows

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