Discussion of Question with ID = 055 under Inequalities

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Question

In a certain language different symbols represent different operators as follows.

  1. ∑ means X = Y
  2. @ means X ≤ Y
  3. ¢ means X ≥ Y
  4. Ω means X < Y
  5. $ means X > Y

Statements: F ∑ G; G Ω H; H $ I; I Ω J;

Conclusions:

  1. F Ω J
  2. I $ F
  3. J Ω H

Which of the above conclusions is/are true?

A

Neither of the three.

B

I only.

C

II only.

D

III only.

Soln.
Ans: a

The statements can be translated to F = G < H > I < J.

The conclusions translate to:

  1. F < J(False)
  2. I > F(False)
  3. J < H(False)

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