Discussion of Question with ID = 002 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 ≯ (not more than) Y
  3. © means X ≮ (not less than) Y
  4. Ξ means X < Y
  5. ∃ means X > Y

Statements: F Ξ G; G ∏ H; H © I;

Conclusions:

  1. G ∃ I
  2. G ∏ I
A

both I and II are true.

B

only conclusion II is true.

C

only conclusion I is true.

D

either I or II can be true.

Soln.
Ans: d

The statements can be translated to F < G = H ≥ I. Conclusion I translates to G > I. Conclusion II translates to G = I. So we can see that either I or II can be true.

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

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