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### Question

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

- Ω means X = Y
- ∇ means X ≤ Y
- ∅ means X ≥ Y
- Θ means X < Y
- ∏ means X > Y

**Statements: **A ∏ B; B ∏ C; C ∏ D; D ∏ E;

**Conclusions: **

- C ∏ E
- C ∏ A
- E Θ B

Which of the above conclusions is/are true?

**A**

both I and III.

**B**

I only.

**C**

II only.

**D**

III only.

**Soln.**

**Ans: a**

The statements can be translated to A > B > C > D > E.

The conclusions translate to:

- C > E(True)
- C > A(False)
- E < B(True)