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In a certain code: 'X @ Y' means X is not smaller than Y; 'X # Y' means X is not greater than Y; 'X $ Y' means X is neither smaller than nor equal to Y; 'X % Y' means X is neither greater than nor equal to Y. Statements: P $ Q, Q @ R, R # S. Conclusions: I. P $ R.
II. S $ R. Which conclusion(s) follow?

Competition practiceInequalities
  • AOnly conclusion II follows
  • BNeither I nor II follows
  • COnly conclusion I follows
  • DBoth I and II follow

Step-by-Step Solution

Decoding: P > Q, Q >= R, R <= S. From P > Q >= R we get P > R, which is P $ R (I follows). R <= S only gives S >= R, allowing S = R, so S > R (S $ R) is not guaranteed and II does not follow.
Answer: C) Only conclusion I follows

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