For whole numbers , consider: *'If is odd, then is odd.'* Which of these is correct?

Answer and explanation

Correct answer: A. The statement is true and its converse is true

  1. Step 1: The statement is true: if were even, would be even, so odd forces odd .
  2. Step 2: The converse, 'if is odd then is odd', is also true: is odd.
Answer
The statement is true and its converse is true.
Why not the others: Neither direction has a counterexample: the product of two odd numbers is always odd, and the square of an even number is always even.

Practise more Truth of statements and their converses.

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