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### Question

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

- ¢ means X = Y
- ® means X ≤ Y
- ¥ means X ≥ Y
- ∅ means X < Y
- ⊗ means X > Y

**Statements: **T ¢ U; U ∅ V; V ∅ W; W ⊗ X;

**Conclusions: **

- U ∅ X
- T ∅ X
- W ⊗ T

Which of the above conclusions is/are true?

**A**

III only.

**B**

both III and II.

**C**

II only.

**D**

I only.

**Soln.**

**Ans: a**

The statements can be translated to T = U < V < W > X.

The conclusions translate to:

- U < X(False)
- T < X(False)
- W > T(True)