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Read the key carefully — it is not the same as in other questions. In a certain code: '◆' means 'is less than', '▲' means 'is less than or equal to', '■' means 'is greater than', '●' means 'is greater than or equal to', and '▼' means 'is equal to'.
Given that 'F ■ G', 'G ◆ H' and 'H ■ J' are all true, which conclusion follows?
Conclusions: I. 'F ■ J'
II. 'G ◆ J'

Competition practiceInequalities
  • AOnly I follows
  • BOnly II follows
  • CNeither I nor II follows
  • DBoth I and II follow

Step-by-Step Solution

Under this key '■' is > and '◆' is <, so the statements read F > G, G < H and H > J. The sense reverses twice, leaving G at the bottom and F, H, J unlinked to each other. Conclusion I decodes to F > J: F = 9, G = 1, H = 40, J = 2 makes it true, while F = 3, G = 1, H = 40, J = 20 satisfies every statement and makes it false. Conclusion II decodes to G < J: the second pair of values gives G = 1 < J = 20, true, but the first gives G = 1 and J = 2 — also true, so test another, F = 9, G = 1, H = 40, J = 0, which satisfies all three statements and makes G < J false. Neither follows. 'Both' comes from reading the three statements as one descending run.
Answer: C) Neither I nor II follows

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