Discussion of Question with ID = 245 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. Ξ means X ≥ Y
  4. √ means X < Y
  5. ∇ means X > Y

Statements: T ∇ U; U ∂ V; V √ W;

Conclusions:

  1. T ∇ V
  2. U Ξ W
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 T > U = V < W. Conclusion I translates to T > V. Conclusion II translates to U ≥ W. 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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