Discussion of Question with ID = 178 under Inequalities

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

  1. ∀ means X = Y
  2. ∧ means X ≤ Y
  3. © means X ≥ Y
  4. Δ means X < Y
  5. Γ means X > Y

Statements: B ∀ C; C ∀ D; D ∧ E;


  1. B Γ E
  2. D Γ B

both I and II are true.


only conclusion II is true.


only conclusion I is true.


neither I nor II is true.

Ans: d

The statements can be translated to B = C = D ≤ E. Conclusion I translates to B > E. Conclusion II translates to D > B. So we can see that neither I nor II is true.

Please remember that in such questions ≯ (not more than) is same as ≤, and ≮ (not less than) is same as ≥.

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