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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
- Ξ means X < Y
- ∏ means X > Y

**Statements: **Q Ξ R; R Ξ S; S ⊕ T; T ∏ U;

**Conclusions: **

- R Ξ U
- R Ξ T
- Q Ξ S

Which of the above conclusions is/are true?

**A**

both II and III.

**B**

I only.

**C**

II only.

**D**

III only.

**Soln.**

**Ans: a**

The statements can be translated to Q < R < S = T > U.

The conclusions translate to:

- R < U(False)
- R < T(True)
- Q < S(True)