Discussion of Question with ID = 160 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. © means X < Y
  5. % means X > Y

Statements: F © G; G ∧ H; H ∧ I;

Conclusions:

  1. F © 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: a

The statements can be translated to F < G = H = I. Conclusion I translates to F < I. Conclusion II translates to G = I. So we can see that both I and II are true.

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

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