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Miscellaneous·2024·Easy

Let P and Q be two non-void relations on a set A. Which of the following statements are correct? I. P and Q are reflexive ⟹ P ∩ Q is reflexive. II. P and Q are symmetric ⟹ P ∪ Q is symmetric. III. P and Q are transitive ⟹ P ∩ Q is transitive. Select the answer using the code given below.

Let P and Q be two non-void relations on a set A. Which of the following statements are correct?
I. P and Q are reflexive ⟹ P ∩ Q is reflexive.
II. P and Q are symmetric ⟹ P ∪ Q is symmetric.
III. P and Q are transitive ⟹ P ∩ Q is transitive.
Select the answer using the code given below.

Options

  1. a.

    I and II only

  2. b.

    II and III only

  3. c.

    I and III only

  4. d.

    I, II and III

    Correct answer

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