Discussion of Question with ID = 116 under Inequalities

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Question

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

  1. ⊗ means X = Y
  2. η means X ≯ (not more than) Y
  3. ∀ means X ≮ (not less than) Y
  4. √ means X < Y
  5. © means X > Y

Statements: F √ G; G ⊗ H; H √ I;

Conclusions:

  1. F √ H
  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: c

The statements can be translated to F < G = H < I. Conclusion I translates to F < H. Conclusion II translates to G ≥ I. So we can see that only conclusion I 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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