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### Question

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

- λ 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: **

- W ∅ U
- V ∅ X
- X ∅ T

Which of the above conclusions is/are true?

**A**

Neither of the three.

**B**

I only.

**C**

II only.

**D**

III only.

**Soln.**

**Ans: a**

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

The conclusions translate to:

- W > U(False)
- V > X(False)
- X > T(False)