Discussion of Question with ID = 238 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 ≤ Y
  3. ∅ means X ≮ (not less than) Y
  4. Ξ means X < Y
  5. % means X > Y

Statements: M Ξ N; N ∧ O; O ∧ P;

Conclusions:

  1. M Ξ P
  2. N ∧ P
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 M < N = O = P. Conclusion I translates to M < P. Conclusion II translates to N = P. 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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