For whole numbers , consider: *'If is divisible by 4, then is even.'* Which of these is correct?
Answer and explanation
Correct answer: C. The statement is true and its converse is false
- Step 1: The statement is true: is even.
- Step 2: The converse, 'if is even then is divisible by 4', is false: is a counterexample.
Answer
The statement is true and its converse is false.
Why not the others: The options that call the converse true ignore or ; the options that call the statement false ignore that every multiple of is even.
Practise more Truth of statements and their converses.
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More Truth of statements and their converses questions
- For real , consider: *'If , then .'* Which of these is correct?
- For real numbers and , consider: *'If and are both positive, then is positive.'* Which of these is correct?
- For real , consider: *'If , then .'* Which of these is correct?
- For whole numbers , consider: *'If is odd, then is odd.'* Which of these is correct?
- For whole numbers , consider: *'If is prime, then is odd.'* Which of these is correct?
- For real , consider: *'If , then .'* Which of these is correct?