Discussion of Question with ID = 226 under Inequalities

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Question

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

  1. Ξ means X = Y
  2. ∩ means X ≤ Y
  3. ⊗ means X ≮ (not less than) Y
  4. ≅ means X < Y
  5. ¢ means X > Y

Statements: L ∩ M; M ≅ N; N ¢ O;

Conclusions:

  1. L Ξ O
  2. L ≅ N
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: b

The statements can be translated to L ≤ M < N > O. Conclusion I translates to L = O. Conclusion II translates to L < N. So we can see that only conclusion 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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